What is the slope of the line
described by 2x + 3y = 4?

A. 2/3
B. -2/3
C. 3/2
D. 2
E. 3

Answer:

22 of the 95$ ones and 10 of the 125

Step-by-step explanation:

22 times 95 = 2090

10 times 125 = 1250

2090+1250=3340

hope this helped

Answer:

80/100 times x =>  [tex] \frac{80}{100}*x [/tex]

(0.8) times x => [tex] (0.8)*x [/tex]

4/5 times x => [tex] \frac{4}{5}*x [/tex]

8/10 times x => [tex] \frac{8}{10}*x [/tex]

Step-by-step explanation:

80% of x means 80 ÷ 100 × x

that is: [tex] \frac{80}{100}*x = \frac{8}{10}*x = \frac{4}{5}*x = (0.8)*x [/tex]

Therefore, the expressions that can be used to find 80% of x are:

80/100 times x =>  [tex] \frac{80}{100}*x [/tex]

(0.8) times x => [tex] (0.8)*x [/tex]

4/5 times x => [tex] \frac{4}{5}*x [/tex]

8/10 times x => [tex] \frac{8}{10}*x [/tex]

Answer:

a

   [tex]R =13[/tex]

b

  [tex]\= x =8.9[/tex]

c

 [tex]var(x) = 16.57[/tex]

d

 [tex]\sigma = 4.1[/tex]

Step-by-step explanation:

From the question we are given a data set  

      2​, 10​, 15​, 4​, 11​, 10​, 15​, 10​, 2​, 10

     The sample size is  n  = 10

 The range is  

         [tex]R = maxNum - MinNum[/tex]

Where maxNum  is the maximum number on the data set  which is 15

 and  MinNum  is the minimum  number on the data set  which is  2

   So

           [tex]R = 15 - 2[/tex]

           [tex]R =13[/tex]

The mean is mathematically represented as

          [tex]\= x = \frac{\sum x_i}{N}[/tex]

substituting values

          [tex]\= x = \frac{2 + 10 + 15 + 4 + 11 + 10 + 15 + 10 + 2 + 10 }{10}[/tex]

         [tex]\= x =8.9[/tex]

The variance is mathematically evaluated as

        [tex]var(x) = \frac{\sum (x - \= x)^2}{N}[/tex]

substituting values

      [tex]var(x) = \frac{(2 - 8.9 )^2 + (10 - 8.9 )^2 + (15 - 8.9 )^2 +(4 - 8.9 )^2 +(11 - 8.9 )^2 +(10 - 8.9 )^2 +(15 - 8.9 )^2 +(10 - 8.9 )^2 +} {10}[/tex]                    [tex]\frac{(2 - 8.9 )^2 +(10 - 8.9 )^2 }{10}[/tex]

[tex]var(x) = 16.57[/tex]

The standard deviation is  [tex]\sigma = \sqrt{var(x)}[/tex]

substituting values

         [tex]\sigma = \sqrt{16.57}[/tex]

        [tex]\sigma = 4.1[/tex]

Answer:

C) $143.

Step-by-step explanation:

We are given an equation: y = 0.0714x + 44.8.

x is the number of miles, and y is the cost.

y = 0.0714 * 1,375 + 44.8

y = 98.175 + 44.8

y = 142.975

So, the cost is about C) $143.

Hope this helps!

Answer:

12%

Step-by-step explanation:

3/25 = .12

.12 x 100 = 12%

Answer:

12%

Step-by-step explanation:

All you have to do is divide this on a calculator and multiply it by 100. 3/25 = 0.12; 0.12 x 100 = 12%.

Answer:

Blue paint=21 ounces

Step-by-step explanation:

3/4 cup=6 ounces

1 cup=8 ounces

3/4 cup of blue paint=6 ounces of blue paint

1 cup of white paint= 8 ounces of white paint

Ava has 28 ounces of white paint

Find the required blue paint

Let the required blue paint=x

Blue paint ratio white paint

6:8=x:28

6/8=x/28

Cross product

6(28)=x(8)

168=8x

x=168/8

x=21 ounces

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

So, we are given:

[tex]\frac{3}{x}=\frac{4x+3}{x^2}[/tex]

First, we should immediately rule out 0 as an answer. This is because the if [tex]x=0[/tex], the equation would be undefined.

[tex]x\neq 0[/tex]

Now, cross multiply.

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

[tex]3x^2=4x^2+3x[/tex]

Divide everything by x (and we can do this safely because we already know x cannot be equal to zero).

[tex]3x=4x+3[/tex]

[tex]-x=3[/tex]

[tex]x=-3[/tex]

We didn't run into any possibilities for extraneous solutions.

The area of a circle is pi x r^2

Area of full circle: 3.14 x 11^2

Area = 379.94 square miles.

To find the area of the bounded arc, multiply the full area by the fraction of a full circle the arc is:

379.94 x 300/360 = 316.62 square miles

Answer:

316.62 miles²

Step-by-step explanation:

Area of circle = 3.14 ×  r²

3.14 × 11²

= 379.94 (area of whole circle)

We need to find the area of the blue shaded sector.

300/360 × 379.94

= 316.62

Answer: 52%

Step-by-step explanation:

Let the original price be 100.

After 40% reduction, price will be 100 - 40% = 60

After further 20% reduction, price will be 60 - 20% = 48

%age = (cur val - orig. val ) / orig val x 100

= (48 - 100) / 100 x 100%

= -52

The actual percentage of reduction is 52%

The first reduction is given as:

[tex]r_1 = 40\%[/tex]

The second reduction is given as:

[tex]r_2 = 20\%[/tex]

Assume that the original price of the item is x.

After the first reduction of 40%, the new price would be:

[tex]New = x\times (1 -r_1)[/tex]

So, we have:

[tex]New = x\times (1 -40\%)[/tex]

[tex]New = x\times 0.6[/tex]

[tex]New = 0.6x[/tex]

After the second reduction of 20% on the reduced price, the new price would be:

[tex]New = 0.6x\times (1 -r_2)[/tex]

So, we have:

[tex]New = 0.6x\times (1 -20\%)[/tex]

[tex]New = 0.6x\times 0.8[/tex]

[tex]New = 0.48x[/tex]

Recall that the original price is x.

So, the actual reduction is:

[tex]Actual = \frac{x - 0.48x}{x}[/tex]

[tex]Actual = \frac{0.52x}{x}[/tex]

Divide

[tex]Actual = 0.52[/tex]

Express as percentage

[tex]Actual = 52\%[/tex]

Hence, the actual percentage of reduction is 52%

Read more about percentage change at:

https://brainly.com/question/809966

Answer:

Step-by-step explanation:

Can you please include a image?

Thanks!!!

Answer:

The answer is option A.

Step-by-step explanation:

here, 5x^2-18x+9

=5x^2-(15+3)x+9

=5x^2-15x-3x+9

=5x(x-3)-3(x-3)

=(5x-3)(x-3)

so, the answer from the above options is (5x-3).

hope it helps..

Answer:

Option (3)

Step-by-step explanation:

Standard deviation for the binomial distribution is given by,

σ = [tex]\sqrt{n\times P(1-P)}[/tex]

where n = Number of trials

P = probability of success of an individual trail

If n = 47 and P = 0.4

σ = [tex]\sqrt{47\times 0.4(1-0.4)}[/tex]

  = [tex]\sqrt{47\times 0.24}[/tex]

  = [tex]\sqrt{11.28}[/tex]

  = 3.3586

  ≈ 3.36

Therefore, standard deviation for the binomial distribution will be 3.36.

Option (3) will be the answer.

Answer:

17.1

Step-by-step explanation:

The missing side is x

switch tan 25° and x

Answer:

  (–8, –6)

Step-by-step explanation:

The given points represent the x- and y- intercepts of the line, so we can write the equation in intercept form as ...

  x/(x-intercept) +y/(y-intercept) = 1

  x/(-2) +y/2 = 1 . . . use the given intercepts

  x - y = -2 . . . . . multiply by -2

Then the system is ...

Using the first to substitute into the second, we get ...

  x - (2x +10) = -2

  -8 = x . . . . . . . . . . . add x+2, simplify

  y = 2(-8) +10 = -6

The solution is (x, y) = (-8, -6).

Answer:

(-8,-6)

Step-by-step explanation:

Got it right on edge soooo <3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=4x+3

Answer:

The missing side is [tex]B = 6.0\ cm[/tex]

The missing angles are [tex]\alpha = 56.2[/tex] and [tex]\theta = 93.8[/tex]

Step-by-step explanation:

Given

[tex]A = 10\ cm[/tex]

[tex]C = 12\ cm[/tex]

[tex]\beta = 30[/tex]

The implication of this question is to solve for the missing side and the two missing angles

Represent

Angle A with [tex]\alpha[/tex]

Angle B with [tex]\beta[/tex]

Angle C with [tex]\theta[/tex]

Calculating B

This will be calculated using cosine formula as thus;

[tex]B^2 = A^2 + C^2 - 2ACCos\beta[/tex]

Substitute values for A, C and [tex]\beta[/tex]

[tex]B^2 = 10^2 + 12^2 - 2 * 10 * 12 * Cos30[/tex]

[tex]B^2 = 100 + 144 - 240 * 0.8660[/tex]

[tex]B^2 = 100 + 144 - 207.8[/tex]

[tex]B^2 = 36.2[/tex]

Take Square root of both sides

[tex]B = \sqrt{36.2}[/tex]

[tex]B = 6.0[/tex] (Approximated)

Calculating [tex]\alpha[/tex]

This will be calculated using cosine formula as thus;

[tex]A^2 = B^2 + C^2 - 2BCCos\alpha[/tex]

Substitute values for A, B and C

[tex]A^2 = B^2 + C^2 - 2BCCos\alpha[/tex]

[tex]10^2 = 6^2 + 12^2 - 2 * 6 * 12 * Cos\alpha[/tex]

[tex]100 = 36 + 144 - 144Cos\alpha[/tex]

Collect Like Terms

[tex]100 - 36 - 144 = -144Cos\alpha[/tex]

[tex]-80 = -144Cos\alpha[/tex]

Divide both sides by -144

[tex]\frac{-80}{-144} = Cos\alpha[/tex]

[tex]0.5556 = Cos\alpha[/tex]

[tex]\alpha = cos^{-1}(0.5556)[/tex]

[tex]\alpha = 56.2[/tex] (Approximated)

Calculating [tex]\theta[/tex]

This will be calculated using cosine formula as thus;

[tex]C^2 = B^2 + A^2 - 2BACos\theta[/tex]

Substitute values for A, B and C

[tex]12^2 = 6^2 + 10^2 - 2 * 6 * 10Cos\theta[/tex]

[tex]144 = 36 + 100 - 120Cos\theta[/tex]

Collect Like Terms

[tex]144 - 36 - 100 = -120Cos\theta[/tex]

[tex]8 = -120Cos\theta[/tex]

Divide both sides by -120

[tex]\frac{8}{-120} = Cos\theta[/tex]

[tex]-0.0667= Cos\theta[/tex]

[tex]\theta = cos^{-1}(-0.0667)[/tex]

[tex]\theta = 93.8[/tex] (Approximated)

Answer:

x ≥ 4 AND  x + y ≤ 10

Step-by-step explanation:

If you need up to 10 volunteers, then you can take 10 or less. If we add y and x, we'll get the total amount of people, therefore making the inequality:

x + y ≤ 10.

Now, he needs no fewer than 4 females, so he can take 4 or greater. This means that x should be greater than or equal to 4.

x ≥ 4.

Nothing was mentioned about how many males he needed (y) so these two inequalities match the situation.

Hope this helped!

Answer:

after 6 half lives: 210(1/2)^6= 3.28125

Step-by-step explanation:

isotope to be reduced to half its initial mass at first:

210(1/2)=105 half it is original weight

after second life: 210(1/2)^2=105(1/2)=52.5

after third : 210(1/2)^3=52.5/2=26.25

after fourth : 26.25/2=12.125

after fifth : 13.125/2

after 6 half lives: 210(1/2)^6= 3.28125

Step-by-step explanation:

Given,

a student (Charles) bought a car and sold it in 15 % profit for $4669.

we have the formula,

[tex]cp = \frac{sp \times 100}{100 + p\%} [/tex]

so,

[tex]cp = \frac{4669 \times 100}{100 + 15} [/tex]

by simplifying it we get,

CP is $4060.

Therefore, the cp was $4060.

Hope it helps...

Answer:

it will take them 1.71 hours to finish cutting the lawn if they work together.

Step-by-step explanation:

If Marsha cuts the lawn by herself it will take her 3 hours, this mean that in one hour she cuts 1/3 of the lawn.

On the other hand Bob needs one more hour to finish the lawn, this means it takes him 4 hours to cut it and therefore he cuts 1/4 of the lawn per hour.

Now, to know how much they cut by working together we need to sum up the amount of lawn they cut per hour:

Working together in one hour: Marsha's one hour + Bob's one hour

Working together in one hour: [tex]\frac{1}{3}+ \frac{1}{4}=\frac{4+3}{12}=\frac{7}{12}[/tex]

Therefore, working together they will cut 7/12 in one hour.

Now, to know how long will it take it to cut the entire lawn (which is equivalent to 12/12), we can write this in terms of proportions

Time        Total amount of lawn

1 hour               7/12

x hours             12/12

Solving for x (to know the amount of hours it will take them) we have:

[tex]x=\frac{12}{12}[/tex]÷[tex]\frac{7}{12}[/tex]=[tex]1[/tex]×[tex]\frac{12}{7}=\frac{12}{7}=1.714[/tex]

Rounded to the nearest hundredth, we have that working together it will take them 1.71 hours to finish cutting the lawn.

536 children = 4 months

536/4 children = 4/4 months ... divide both sides by 4

134 children = 1 month

The clinic treated 134 children in 1 month. This is assuming that every month was the same number of patients.

Step-by-step explanation:

Solution,

Number of children treated in 4 months = 536

Now, let's find the number of children treated in one month:

[tex] = \frac{total \: number \: of \: childrens \: }{total \: month} [/tex]

Plug the values

[tex] = \frac{536}{4} [/tex]

Calculate

[tex] = 134 \: [/tex] childrens

Therefore, A clinic treated 134 childrens in one month.

Hope this helps...

Best regards!!

Answer:

[tex]\large \boxed{\sf \ \ 9\text{ years} \ \ }[/tex]

Step-by-step explanation:

Hello,

First of all, a few remarks:

>>> 1 year is 12 months, right?

>>> Monthly compounding means that each month we compute the interest and they will be included in the investment for the next month.

>>> 6% is an interest per year, it means that to compute the interest for 1 month we need to compute by 6% multiplied by [tex]\dfrac{1}{12}[/tex]

Let's do it !

At the beginning, we have:

   $8,000

After 1 month, we will have:

   [tex]8000 + 8000\cdot \dfrac{6\%}{12}=8000\cdot (1+ \dfrac{6}{1200})= 8000\cdot (1+ \dfrac{1}{200})[/tex]

After 2 months, we will have:

   [tex]8000\cdot (1+ \dfrac{1}{200})\cdot (1+ \dfrac{1}{200})=8000\cdot \left(1+ \dfrac{1}{200}\right)^2[/tex]

After n months, we will have

   [tex]8000\cdot \left(1+ \dfrac{1}{200}\right)^n=8000\cdot \left(1.005\right)^n[/tex]

We are looking for n such that

   [tex]8000\cdot \left(1.005\right)^n=13709.60\\\\ln(8000)+ n\cdot ln(1.005)=ln(13709.60)\\\\\\n = \dfrac{ln(13709.60)-ln(8000)}{ln(1.005)}=108[/tex]

So, we need 108 months to reach this amount, which means 108/12=9 years.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Question: Find the value of Xº if <ADC = 71°

Answer:

15

Step-by-step explanation:

Given:

<ADC = 71°

<ADB = (x + 7)°

<BDC = (2x + 19)°

Required:

Value of x

Solution:

<ADB + <BDC = <ADC

(x + 7)° + (2x + 19)° = 71°

x + 7 + 2x + 19 = 71

x + 2x + 7 + 19 = 71

3x + 26 = 71

Subtract 26 from both sides

3x + 26 - 26 = 71 - 26

3x = 45

Divide both sides by 3 to make x the subject of formula

[tex] \frac{3x}{3} = \frac{45}{3} [/tex]

[tex] x = 15 [/tex]

The value of x is 15.

Answer:

-52, and the opposite of this is 52.

Step-by-step explanation:

If we are losing 52 pounds, then our number is -52 since we are losing 52 pounds (adding a negative number to a positive number is the same as subtracting that number).

The opposite of a number is when we negate the number, or multiply it by -1.

A negative number times a negative number is a positive number.

[tex]-52\cdot-1 = 52\cdot1 = 52[/tex]

Hope this helped!

Answer:

Hey there!

Loss of 52 pounds, -52

Opposite, 52

Hope this helps :)

Statement A " Dylan's reasoning about arc AB is correct, and the hexagon is regular. option (A) is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Three sides of the triangle ABX are all equal to AX, making ΔABX equilateral. Since this makes central angle AXB measure 60°,

m(arc)AB = 60°

AX = BX = AB

The measure of AXB = 60 degrees

m(arc)AB = 60 degrees

On applying the same argument, the inscribed hexagon is regular.

Statement A is correct.

Thus, statement A " Dylan's reasoning about arc AB is correct, and the hexagon is regular. option (A) is correct.

Learn more about the regular polygon here:

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Answer:

6n=48

Step-by-step explanation:

product means multiplication

6×n=48

6n=48

An equation that shows this relationship is: A. 6n = 48.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The product of 6 and a number is 48," we can logically deduce the following algebraic equation;

6 × n = 48

6n = 48

n = 48/6

n = 8.

Read more on equation here: brainly.com/question/18912929

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ANSWER

(a+b)(a^2+ab+b^2)=(3x+4y) 9x^2+12xy+16y^2)

Answer:

(D)R: x+2=7

Step-by-step explanation:

Given the statement P:x=5

An equivalent statement will be a statement whose result is exactly x=5.

From the given options:

R: x+2=7

R: x=7-2

R: x=5

Therefore, R is an equivalent statement.

The correct option is D.