The total cost (in dollars ) of a cell phone plan after x months can be represented by c(x)=55x+25. Find the inverse function. Then find the number of months when the total cost is $2005.

Answers

Answer 1

After answering the presented question, we can conclude that  it will function take 36 months for the total cost to reach $2005.

what is function?

In mathematics, a function appears to be a link between two sets of numbers in which each member of the first set (known as the domain) corresponds to a specific member of the second set (called the range). In other words, a function takes input from one collection and creates output from another. The variable x has frequently been used to represent inputs, whereas the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 depicts a functional form in which each value of x generates a unique value of y.

inverse function

[tex]c(x) = 55x + 25\\c(x) - 25 = 55x\\x = (c(x) - 25) / 55\\c^(-1)(x) = (x - 25) / 55\\c(x) = 55x + 25 = 2005\\55x = 1980\\x = 36\\[/tex]

it will take 36 months for the total cost to reach $2005.

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Related Questions

Find the volume & surface area of each figure. Round your answers to the nearest hundredth, if necessary.

Answers

Answer:

15) surface area = 791.68, volume = 1693.32

16) surface area = 138.23, volume = 113.1

17) surface area = 650.87, volume = 1073

18) surface area = 34.87, volume = 10.52

19) surface area = 153.94, volume = 179.59

20) surface area = 314.16, volume = 523.6

Step-by-Step Explanation:

sorry I didn't add the cm or inches or km in my answers :)

Is EG ⊥ DF? Why or why not?

Answers

The length of XF is equal to 13 units.

Is EG ⊥ DF: D. impossible to tell; not enough information is given.

What is a rhombus?

In Mathematics and Geometry, a rhombus is a type of quadrilateral that is composed of four (4) equal sides and opposite interior angles that are congruent (equal).

Additionally, a rhombus typically has two (2) diagonals that bisect each other at right angles (90 degrees);

3x - 5 = 2x

3x - 2x = 5

x = 5

Next, we would determine the length of the diagonal DF;

Diagonal DF = 5x + 1

Diagonal DF = 5(5) + 1

Diagonal DF = 26 units.

XF = DF/2

XF = 26/2

XF = 13 units.

In conclusion, it is impossible to determine whether side EF is perpendicular to side DF because information about the side length was not provided.

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To conserve energy a factory cut its use of electricity from 12,000 kilowatt-hours per month to 7000 kilowatt-hours per month. What was the percent decrease?​

Answers

Answer:

To find the percentage decrease, we need to calculate the difference between the initial and final values, divide that by the initial value, and then multiply by 100.

The initial use of electricity was 12,000 kilowatt-hours per month, and the final use was 7,000 kilowatt-hours per month. The difference is:

12,000 - 7,000 = 5,000

To find the percentage decrease, we divide the difference by the initial value:

5,000 / 12,000 = 0.4167

Finally, we multiply by 100 to get the percentage:

0.4167 * 100 = 41.67%

Therefore, the percentage decrease in electricity usage is 41.67%.

what is the diameter of 100km

Answers

Answer: The diameter of a circle is the distance across the circle passing through the center.

To find the diameter of a circle with a radius of 100 km, we can simply double the radius, since the diameter is twice the length of the radius.

Therefore, the diameter of a circle with a radius of 100 km is:

2 x 100 km = 200 km

So the diameter is 200 km.

Step-by-step explanation:

In ΔKLM, m = 5.2 cm, k = 8.3 cm and ∠L=162°. Find ∠M, to the nearest 10th of a degree.

Answers

The measure of angle M in triangle KLM is approximately 47.3 degrees, to the nearest 10th of a degree.

Solving for nearest 10th of degree:

To find the measure of angle M in triangle KLM, we can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles. The Law of Cosines states that:

[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]

where c: length of the side opposite angle C, and a & b are the lengths of the other two sides.

In this case, we wish to find the measure of angle M, which will be opposite the side of length m. We are aware that the lengths of the other two sides, k and l, and measure of angle L. To find l, we use the Law of Cosines:

[tex]l^2 = k^2 + m^2 - 2km cos(L)[/tex]

Substituting:

[tex]l^2 = 8.3^2 + 5.2^2 - 2(8.3)(5.2) cos(162 degree)[/tex]

Solve for the l, we get:

l = 10.038 cm

We will use Law of Cosines again to find the measure of angle M:

cos(M) = [tex](k^2 + l^2 - m^2) / (2kl)[/tex]

Substituting:

cos(M) = [tex]([/tex][tex]8.3^2 + 10.038^2 - 5.2^2)[/tex] [tex]/ (2(8.3)(10.038))[/tex]

Simplifying:

cos(M) = 0.665

To get the measure of angle M, we take the inverse cosine:

M = 47.3°

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Which choice is equivalent to the expression below when x ≥ 0?
√32x^3 - √16x^3 + 4√x^3 - √2x^3
A. 3√2x
B. 4x√2x
C. 3x√2x
D. √18x^3

Answers

The response is: [tex]$32x^{3}-16x^{3}+4x^{3}-2x^{3}$[/tex] equals 2x (4x - x²) equals 3x²x (Option C)

what is expressiοn ?  

An expressiοn is a grοup οf digits, variables, and mathematical οperatοrs (such as additiοn, subtractiοn, multiplicatiοn, divisiοn, expοnents, etc.) that depicts a quantity οr relatiοnship. Expressiοns can be straightfοrward οr intricate, and they can cοntain any number οf different mathematical οperatiοns and values.

Fοr instance, "3 + 5" is a straightfοrward statement that denοtes the additiοn οf 3 and 5, whereas "2x² + 5xy - 7" is a mοre intricate expressiοn that uses expοnents and variables. In algebra and οther branches οf mathematics, expressiοns are frequently emplοyed tο illustrate relatiοnships and address issues.

Let's first simplify each phrase that appears after the square rοοt:

√32x^3 = √(16x²) * √(2x) = 4x√2x √16x³ = √(16x²) * √x = 4x√x 4√x³ = 4√(x²) * √x = 4x√x √2x³ = √(2x²) * √x = √2x * x√x

Cοmbining the οriginal statement with these simplificatiοns results in:

32x³ - 16x³ + 4x³ - 2x³ = 4x²x - 4xx + 4xx - xx = 4x²x - xx = 2x (4x - x²).

As 4x and x2 are bοth nοn-negative because x 0, their difference is alsο

non-negative.

Hence, the response is: [tex]$32x^{3}-16x^{3}+4x^{3}-2x^{3}$[/tex] equals 2x (4x - x²) equals 3x²x (Option C) .

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The membership in a performing arts club increased by 120% compared to the previous year. How many squares would be shaded on 10 × 10 grids to represent 120%?

Answers

220 squares would be shaded on 10 x 10 grids to represent an increase of 120%.

An increase of 120% means that the new value is 100% + 120% = 220% of the previous value.

If we let the previous value be x, then the new value is 2.2x.

To represent this increase on a 10 x 10 grid, we can shade in 220 out of 100 squares, or:

The new value would be 2.2 times the previous value, since an increase of 120% means that the new value is 220% of the previous value.

If we let the previous value be x, then the new value is:

new value = x + 120% of x

220/100 x 10 x 10 = 220 squares

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9. Divide the following: please helppp

a.
x4 x3

b.
s3
s5

c.
z12
z10

Answers

Answer:

a. x

b. 1/s^2

c. z^2

Step-by-step explanation:

Find dy/dt at x=1 and y=x^2+3 if dx/dt=4

Answers

Using derivative of the function  dy/dt = 6.

How to find dy/dt at x = 1?

Differentiation involves finding the derivative of a function, which is a new function that describes the rate of change of the original function at each point.

Since we have x term and we are differentiating with respect to t, we need to apply the chain rule. This means we first differentiate with respect to x and then multiply by dx/dt. That is:

dy/dt = d[x² + 3]/dt

dy/dt = (2x) dx/dt

dy/dt = 2(1) + 4    (Since x=1 and dx/dt= 4)

dy/dt = 2 + 4

dy/dt = 6

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MODELING REAL LIFE You ride your bicycle 40 meters. How many complete revolutions does the front wheel
make?
32.5 cm
The bicycle makes complete revolutions.

Answers

Answer:

19

Step-by-step explanation:

r = 32.5 cm

C = 2πr = 2(3.14159)(32.5 cm) = 204.20 cm

40 m = 40 m × (100 cm)/m = 4000 cm

4000 cm / 204.2 cm = 19.588

Answer: 19

The centre of a circle is at point(0,0) and passes through (6,3). Work out the equation of the tangent to the circle at this point. Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.​

Answers

Answer:

[tex]y = -2x + 15[/tex]

Step-by-step explanation:

center of the circle C is at (0, 0).

let P be the point (6, 3),

There is a property of a circle,

line drawn from center of a circle to a point P (x, y) is perpendicular to the tangent at P.

see the attached figure

so basically we have to find the equation of line perpendicular to the line passing through (6, 3).

slope of line CP = 1/2

therefore the slope of perpendicular line = -2 (tangent at P)

It passes through (6, 3) (the point of tangency),

using the equation,

[tex]y_2 - y_1 = m(x_2 - x_1)[/tex]

[tex]y - 3 = -2(x - 6)[/tex]

[tex]y = -2x + 15[/tex]

Hopefully, this answer will help you!

If there are two figures a parallelogram and a rectangle with a base of 12in and a height of 6in how are they related

Answers

The parallelogram and rectangle have the same base and height, they have the same area of 72 in2.

The parallelogram and the rectangle are related because they both have the same base and height. The area of the parallelogram is calculated by multiplying the base of the parallelogram (b) by the height (h): Area = b × h. In this case, the area of the parallelogram is 12 in × 6 in = 72 in2. The area of the rectangle is also calculated by multiplying the base of the rectangle (b) by the height (h): Area = b × h. In this case, the area of the rectangle is 12 in × 6 in = 72 in2. Since both figures have the same base and height, they have the same area.

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I need help w/ my Math, it’s a series of questions starting from 10-18 but not 16. ⚠️I NEED HELP TO SIMPLIFY THEM, NOT ANSWER THEM⚠️

10. 8-3(2-3+1)the power of 2 divided by 8x2)

11. 3 to the power of 2 +5(2+9)

12. 7 to the power of 2-8x3+6

13. 3x5-(3 to the power of 2+2)+72 divided by 8

14. 8-3-(24-4 to the power of 2) divided by 2

15. 11+3(19+2)

17. 10+2[18 divided by(5+1)]

18 (6-2)x0+8

Answers

Answer:

10. 8

11. 64

12. 31

13. 13

14. 1

15. 74

17. 16

18. 8

Step-by-step explanation:

:))

at the mp donut hole factory, niraek, theo, and akshaj are coating spherical donut holes in powdered sugar. niraek's donut holes have radius $6$ mm, theo's donut holes have radius $8$ mm, and akshaj's donut holes have radius $10$ mm. all three workers coat the surface of the donut holes at the same rate and start at the same time. assuming that the powdered sugar coating has negligible thickness and is distributed equally on all donut holes, how many donut holes will niraek have covered by the first time all three workers finish their current donut hole at the same time?

Answers

Niraek will have covered 400 donut holes by the time all three workers finish their current donut holes at the same time.

The time it takes to coat a donut hole is directly proportional to the surface area of the donut hole.

The surface area of a sphere is given by the formula:

Surface Area = 4πr²

Here, r is the radius of the sphere.

Comparing the surface areas of the donut holes:

Niraek's donut hole: Surface Area = 4π(6²)

Theo's donut hole: Surface Area = 4π(8²)

Akshaj's donut hole: Surface Area = 4π(10²)

Now, let's find the LCM of the surface areas to determine the time it takes for all workers to finish:

LCM(144π, 256π, 400π) = 57600π mm²

This means that it will take the same amount of time for all three workers to finish their current donut holes when they have covered a total surface area of 57600π mm².

Number of donut holes = (Total surface area) / (Surface area of Niraek's donut hole)

= (57600π mm²) / (144π mm²)

= 57600 / 144

= 400

Therefore, Niraek will have covered 400 donut holes by the time all three workers finish their current donut holes at the same time.

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Use the information below to answer the question Diego rode his bicycle 12.6 miles in 1.5 hours. If Diego rides at the same average rate how many miles will he ride in 2.5 hours?

A.15.1
B.16.8
C.21.10
D.25.2​

Answers

Diego will ride 21 miles in 2.5 hours as a result, which is answer option C as 8.4 miles per hour divided by 2.5 hours equals 21 miles.

what is unitary method ?

Mathematicians use the unitary technique to address proportional relationship issues involving two or more quantities. To answer problems involving rates, ratios, and proportions, it is frequently employed in academics and everyday life. With the unitary technique, the value with one unit is first determined, and the value of the desired amount of units is then determined using this value. The unitary technique can be used, for instance, to determine the price of 1 pen if the price of 4 pens is $8. Cost of 1 pen equals the sum of the costs of 4 other pens. One pen costs $8 plus $4. One pen costs $2.

given

Diego will cover 2.5 miles in that time, according to the following formula:

Rate times distance

Diego's bicycle travels at an average speed of:

Rate: Distance x Time

Hence, we may determine his rate as:

12.6 miles divided by 1.5 hours equals 8.4 miles per hour.

Now that we know this rate, we can calculate how far Diego will travel in 2.5 hours:

8.4 miles per hour divided by 2.5 hours equals 21 miles in the formula for distance.

Diego will ride 21 miles in 2.5 hours as a result, which is answer option C as 8.4 miles per hour divided by 2.5 hours equals 21 miles.

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What is the value of x?

Answers

Answer:x = 4

Step-by-step explanation:

every water sample from a river has a 10% chance of containing a specified pollutant. suppose the samples are independent. a. compute the probability that 2 of the next 20 samples contain that pollutant. b. compute the probability that at least four of the next 20 samples contain the pollutant. c. compute the probability that more than 2 and less than 7 of the next 20 samples contain the pollutant. d. compute the average number of samples (out of 20) that will contain the pollutant

Answers

The average number of samples (out of 20) that will contain the pollutant is 2.

a. Probability that 2 of the next 20 samples contain the pollutantTo calculate the probability that 2 of the next 20 samples contain the pollutant, we use the binomial distribution. We can use the formula below:P(X=k) = (nCk) pk(1-p)n-kwhere:n = 20, the number of samples; k = 2, the number of samples containing the pollutant; p = 0.10, the probability that a sample contains the pollutant; q = 1 - p = 0.90, the probability that a sample does not contain the pollutant.Using the above formula, we get:P(X=2) = (20C2) (0.10)2(0.90)18= (190) (0.01) (0.2066)≈ 0.3979Therefore, the probability that 2 of the next 20 samples contain the pollutant is approximately 0.3979.

b. Probability that at least four of the next 20 samples contain the pollutantTo calculate the probability that at least four of the next 20 samples contain the pollutant, we need to calculate the probability of P(X ≥ 4).We can use the complement of P(X < 4) and use the binomial distribution formula to calculate this. We get:P(X ≥ 4) = 1 - P(X < 4)P(X < 4) = P(X=0) + P(X=1) + P(X=2) + P(X=3)P(X=0) = (20C0) (0.10)0(0.90)20= (1) (1) (0.1216)≈ 0.1216P(X=1) = (20C1) (0.10)1(0.90)19= (20) (0.10) (0.2296)≈ 0.4593P(X=2) = (20C2) (0.10)2(0.90)18= (190) (0.01) (0.2066)≈ 0.3979P(X=3) = (20C3) (0.10)3(0.90)17= (1140) (0.001) (0.2753)≈ 0.2059Therefore, P(X < 4) ≈ 0.1216 + 0.4593 + 0.3979 + 0.2059 ≈ 1.185P(X ≥ 4) = 1 - P(X < 4)≈ 1 - 1.185= -0.185This is not a valid probability. Therefore, we have made an error in our calculations, and the probability cannot be calculated using this method.

c. Probability that more than 2 and less than 7 of the next 20 samples contain the pollutant. To calculate the probability that more than 2 and less than 7 of the next 20 samples contain the pollutant, we can use the binomial distribution formula again. We need to calculate P(3 ≤ X ≤ 6).We can use the formula:P(3 ≤ X ≤ 6) = P(X=3) + P(X=4) + P(X=5) + P(X=6)P(X=3) = (20C3) (0.10)3(0.90)17= (1140) (0.001) (0.2753)≈ 0.2059P(X=4) = (20C4) (0.10)4(0.90)16= (4845) (0.0001) (0.3112)≈ 0.1516P(X=5) = (20C5) (0.10)5(0.90)15= (15504) (0.00001) (0.3544)≈ 0.0583P(X=6) = (20C6) (0.10)6(0.90)14= (38760) (0.000001) (0.3919)≈ 0.0121Therefore,P(3 ≤ X ≤ 6) ≈ 0.2059 + 0.1516 + 0.0583 + 0.0121 ≈ 0.4279Therefore, the probability that more than 2 and less than 7 of the next 20 samples contain the pollutant is approximately 0.4279.

d. Average number of samples (out of 20) that will contain the pollutantThe expected value or average number of samples that will contain the pollutant can be calculated using the following formula:E(X) = npwhere:n = 20, the number of samples; p = 0.10, the probability that a sample contains the pollutant.Using the above formula,E(X) = np= 20 (0.10)= 2.

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1 5. (1.2 x 10)+4 DAO 1:3-5÷4 6. (5 x 107) x (3 x 10°) 15 x 10-¹1 1.5-10° 15×1= 'T Answer each of the following questions. Show all of your work. The diameter of the Sun is approximately 1.3 x 106 km. The diameter of the Earth is approximately 1.3 x 10 km. The diameter of the Sun is how many times larger than the diameter of the Earth?​

Answers

To find how many times larger the diameter of the Sun is than the diameter of the Earth, we need to divide the diameter of the Sun by the diameter of the Earth:

(1.3 x 10^6 km) / (1.3 x 10^4 km)

Simplifying:

= (1.3 / 1.3) x (10^6 / 10^4)

= 100

Therefore, the diameter of the Sun is 100 times larger than the diameter of the Earth.

I explained step by step I hope it was helpful

What is the equivalent fraction of two ones and two hundredths

Answers

The equivalent fraction of two ones and two hundredths is 101/50 by converting the whole number part to a fraction, then add it to the fraction part.

Two ones and two hundredths can be represented as a mixed number, which is [tex]2 \frac{2}{100}[/tex].

To convert this mixed number to an equivalent fraction, we need to first convert the whole number part to a fraction by multiplying it by the denominator of the fraction part, and then adding the numerator of the fraction part. So, we have:

2 + 2/100 = (2 * 100 + 2) / 100 = 202/100

Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

202/100 = (2 * 101) / (2 * 50) = 101/50

Therefore, the equivalent fraction of two ones and two hundredths is 101/50.

In summary, to convert a mixed number to an equivalent fraction, we first convert the whole number part to a fraction, then add it to the fraction part, and finally simplify the resulting fraction if possible.

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I need help on these three pages please asap. Thank you!

Answers

Step-by-step explanation:

Example 1:

Given pair: (3;2)

{2x + 3y = 12,

{x - 4y = -5;

Make x the subject from the 2nd equation:

x = -5 + 4y

Replace x in the 1st equation:

2 × (-5 + 4y) + 3y = 12

-10 + 8y + 3y = 12

11 y = 12 + 10

11y = 22 / : 11

y = 2

y = 2x = -5 + 4 × 2 = -5 + 8 = 3

The answer: (3;2)

The given pair is the solution of the system of equations

.

Example 2:

Given pair: (0; -4)

{x + y = -4,

{x - 5y = 20;

x = -4 - y

(-4 - y) - 5y = 20

-4 - y - 5y = 20

-6y = 20 + 4

-6y = 24 / : (-6)

y = -4

y = -4x = -4 - (-4) = -4 + 4 = 0

The answer: (0; -4)

The given pair is the solution

.

Example 3:

Given pair: (3;3)

{x + 2y = 9,

{4x - y = 15;

x = 9 - 2y

4(9 - 2y) - y = 15

36 - 8y - y = 15

-9y = 15 - 36

-9y = -21 / : (-9)

[tex]y = 2 \frac{1}{3} [/tex]

[tex]x = 9 - 2 \times 2 \frac{1}{3} = 9 - 2 \times \frac{7}{3} = 9 - \frac{14}{3} = \frac{13}{3} = 4 \frac{1}{3} [/tex]

The given pair is not the solution

.

Example 4:

Given pair: (1; -2)

{2x - 3y = 8,

{3x + 2y = -1;

2x = 8 + 3y / : 2

x = 4 + 1,5y

3(4+1,5y) + 2y = -1

12 + 4,5y + 2y = -1

6,5y = -1 - 12

6,5y = -13 / : 6,5

y = -2

y = -2x = 4 + 1,5 × (-2) = 4 - 3 = 1

The given pair is the solution

.

Example 5:

Given pair: (1;5)

{5x - 2y = -5,

{3x - 7y = -32;

-2y = -5 - 5x / : (-2)

y = 2,5 + 2,5x

3x - 7(2,5 + 2,5x) = -32

3x - 17,5 - 17,5x = -32

-14,5x = -32 + 17,5

-14,5x = -14,5 / : (-14,5)

x = 1

x = 1y = 2,5 + 2,5 × 1 = 5

The given pair is the solution

.

Example 6:

Given pair: (-1; -3)

{3x + y = -6,

{2x = 1 + y;

y = -6 - 3x

2x = 1 + (-6 - 3x)

2x = 1 - 6 - 3x

2x + 3x = 1 - 6

5x = -5 / : 5

x = -1

x = -1y = -6 - 3 × (-1) = -6 + 3 = -3

The given pair is the solution

Write an algebraic expression for the sum of 12 and 4

Answers

The requires algebraic expression is (12 + 4)

Algebraic expression:

An algebraic expression is a mathematical phrase that consists of variables, constants, and mathematical operations.

Algebraic expressions can represent a wide range of mathematical concepts and can be used to solve problems in various fields such as physics, engineering, economics, and more.

Here we have

the sum of 12 and 4

Here the sum of 12 and 4 implies the addition of 12 and 4

Hence, we need to use the symbol '+' to write the expression

Hence,

The requires algebraic expression is (12 + 4)

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The perimeter of the rectangle shown below is 52 inches. The perimeter of the triangle shown below is 40 inches.

Answers

Answer: x = 2, y = 6

Step-by-step explanation:

For the rectangle:
x + 4y + x + 4y = 52

2x + 8y = 52

2x = 52 - 8y

x = (52 - 8y)/2

For the triangle:
3y + 3y + 2x = 40

6y + 2((52 - 8y)/2) = 40

6y + (52 - 8y) = 40

-2y = -12

y = 6

x = (52 - 8y)/2

x = (52 - 8(6))/2

x = (52 - 48)/2

x = 4/2

x = 2

Represent the reflection across the y-axis using coordinates.

(x,y) ——-> ( __ x , __ y )

Answers

Answer:

(x,y) ——-> ( - x ,  y )

Step-by-step explanation:

When reflected across the y-axis, the sign of the x will change. So, the answer to this is (x,y) ——-> ( - x ,  y )

A package of 6 pairs of insulated gloves costs ​$34.14. What is the unit price of the pairs of gloves ​?

Answers

Answer:

$5.69

Step-by-step explanation:

To find the unit price (price per pair) of the gloves, we need to divide the total cost by the number of pairs:

Unit price = Total cost / Number of pairs

In this case, the total cost is $34.14 and the number of pairs is 6, so:

Unit price = $34.14 / 6

Unit price = $5.69 (rounded to the nearest cent)

Therefore, the unit price of the pairs of insulated gloves is $5.69.

Answer

$5.69

Step-by-step explanation:

To find the unit price (price per pair) of the gloves, we need to divide the total cost by the number of pairs:
Unit price = Total cost / Number of pairs
In this case, the total cost is $34.14 and the number of pairs is 6, so:
Unit price = $34.14 / 6
Unit price = $5.69 (rounded to the nearest cent)
Therefore, the unit price of the pairs of insulated gloves is $5.69.

100 points!
can someone help me with this !!! please and thank you :)

Answers

The value of x that makes the shape a kite is determined as 4.

What is the special property of kite shape?

One special property of a kite shape is that it has two pairs of adjacent sides that are congruent (i.e., they have the same length). In other words, the two shorter sides are equal in length, and the two longer sides are equal in length, but the shorter and longer sides are not equal to each other.

The value of x is calculated by applying this special property of kite;

6x - 3 = 21 --- (1)

4x + 1 = 17 --- (2)

Solving equation (1)

6x = 24

x = 24/6

x = 4

Solving equation (2);

4x = 17 - 1

4x = 16

x = 16/4

x = 4

So the shape is kite if the value of x is 4.

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How do you do these step by step thank uu

Answers

Answer:

y = x + 3

Step-by-step explanation:

The question is y is 3 more than x.

We know that "more" means addition.

and since y is the greater number here, the answer would be y = x + 3!

Simple!

:)

How many points of intersection are there between the graphs of the two hyperbolas?

3x^2−5y^2+5x−7y+2=0
3x^2−2y^2+5x−y+2=0
o 0
o 1
o 2
o 4

Answers

Since an ellipse and a hyperbοla can intersect at mοst fοur pοints, the answer is 4.

What is hyperbοla?

A hyperbοla is a type οf cοnic sectiοn, which is a curve that is created when a plane intersects a dοuble cοne. A hyperbοla is fοrmed when a plane intersects bοth halves οf a dοuble cοne, resulting in twο distinct curves that mirrοr each οther.

Tο find the pοints οf intersectiοn between the graphs οf the twο hyperbοlas, we need tο sοlve the system οf equatiοns:

[tex]3x^2-5y^2+5x -7y+2=0[/tex]

[tex]3x^2-2y^2+5x-y+2=0[/tex]

We can simplify the system by subtracting the secοnd equatiοn frοm the first:

[tex]-3x^2 - (-2y^2) - 6y = -6[/tex]

Simplifying further:

[tex]3x^2 + 2y^2 + 6y = 6[/tex]

Nοw we can cοmplete the square fοr the y terms:

[tex]3x^2 + 2(y+1)^2 = 9[/tex]

Dividing by 9, we get:

[tex]x^2/3 + (y+1)^2/4 = 1[/tex]

This is the equatiοn οf an ellipse cantered at (-√3, -1) and (√3, -1), with the majοr axis alοng the x-axis and a minοr axis alοng the y-axis.

Therefοre, an ellipse and a hyperbοla can intersect at mοst fοur pοints, the answer is ο 4.

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What does the differences between the price after value added tax (VAT) and price after discount of any article give us?​

Answers

Answer:

The difference between the price after value added tax (VAT) and the price after discount of an article gives us the actual amount of money saved by the customer.

The price after VAT is the price of the item including the tax imposed by the government, whereas the price after discount is the price of the item after any promotional or discounted price reduction. By subtracting the price after discount from the price after VAT, we can determine the actual amount saved by the customer, which is the discount amount minus any VAT paid on the original price.

For example, if an item originally cost $100 with a 10% VAT, the price after VAT would be $110. If the item was discounted by 20%, the price after discount would be $80. The difference between the price after VAT and the price after discount would be $30, which is the actual amount saved by the customer ($20 discount minus $10 VAT paid on the original price).

Step-by-step explanation:

To calculate the actual amount saved by the customer, we need to follow these steps:

Determine the original price of the item. For example, let's say the original price of the item is $100.

Calculate the VAT amount paid on the original price. To do this, multiply the original price by the VAT rate as a decimal. For example, if the VAT rate is 10%, then the VAT amount would be:

VAT amount = original price x VAT rate

VAT amount = $100 x 0.1

VAT amount = $10

So, the VAT amount paid on the original price of $100 is $10.

Determine the discounted price of the item. For example, let's say the item is discounted by 20%, so the discounted price is:

Discounted price = original price - (original price x discount rate)

Discounted price = $100 - ($100 x 0.2)

Discounted price = $80

So, the discounted price of the item is $80.

Calculate the actual amount saved by the customer. To do this, subtract the discounted price from the price after VAT. For example:

Actual amount saved = price after VAT - discounted price

Actual amount saved = $110 - $80

Actual amount saved = $30

So, the actual amount saved by the customer is $30, which is the discount amount minus the VAT paid on the original price.

in one town, 39% of all voters are democrats. if two voters are randomly selected for a survey, find the probability that they are both democrats. round to the nearest thousandth if necessary. group of answer choices

Answers

0.148 is the probability that they are both democrats.

In one town, 39% of all voters are democrats.

If two voters are randomly selected for a survey, the probability that they are both democrats can be calculated as follows.

P(A) = 0.39 is the probability of selecting a democrat in the first draw.

P(B|A) = 0.38

is the probability of selecting a democrat in the second draw if the first draw selects a democrat.

P(B|A') = 0.39 is the probability of selecting a democrat in the second draw if the first draw does not select a democrat.

The probability that both voters are democrats is:

P(A) x P(B|A) = 0.39 x 0.38 = 0.1482

The result is 0.1482, which means the probability that two voters are both democrats in one town is 0.1482 to the nearest thousandth.

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Find the equation of a line perpendicular to 2x+y=−9 that passes through the point (8,9)

Answers

It would be 23 bec 2x is the number you have to focus on
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