solver for y 2x-3y=3

Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

Answer:

If Robin was given a $40 monthly allowance. She wants to go to the movies as many times as possible and have at least $12.50 left at the end of the month to go to a concert. A movie ticket costs $5. Then she can go six times to the movies.

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation.

Given,

Robin was given a $40 monthly allowance.

She wants to go to the movies as many times as possible and have at least $12.50 left at the end of the month to go to a concert.

The amount spent on movies

40-12.5

$27.5

A movie ticket costs $5.

We need to find how many times can she go to the movies.

To find this we need to divide $27.5 by 5

$27.5/5=5.5

Robin can go 6 times to the movies.

The equation of the circle x² + y² - 8x - 6y + 16 = 0 in standard form is (x - 4)² + (y - 3)² = 3².

Given the equation of the circle ;

x² + y² - 8x - 6y + 16 = 0

To write the equation of a circle in standard form, we need to express it as:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

To do this, we need to complete the square for both x and y terms in the given equation.

Starting with the x terms:

x² - 8x = x² - 8x + 16 - 16

= (x - 4)² - 16

Similarly, for the y terms:

y² - 6y = y² - 6y + 9 - 9

= (y - 3)² - 9

Substituting these results into the original equation, we get:

x² + y² - 8x - 6y + 16 = 0

(x - 4)² - 16 + (y - 3)² - 9 + 16 = 0

Simplifying, we get:

(x - 4)² + (y - 3)² - 9 = 0

(x - 4)² + (y - 3)² = 9

So the equation of the circle in standard form is:

(x - 4)² + (y - 3)² = 3²

Learn more about equation of circle here: https://brainly.com/question/29288238

#SPJ1

By performing subtraction we know that the farmer sold 4.2 kilograms of apples in the market.

One of the four operations used in mathematics, along with addition, multiplication, and division, is subtraction.

Removal of items from a collection is represented by the operation of subtraction.

For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches.

Subtraction in mathematics is the process of subtracting one integer from another. In other words, the result of subtracting two from five is three. After addition, subtraction is usually the second operation you learn in math class.

So, to find the weight of apples, perform subtraction as follows:

= 6.7 - 2.5

= 4.2 kilograms

Therefore, by performing subtraction we know that the farmer sold 4.2 kilograms of apples in the market.

Know more about subtraction here:

https://brainly.com/question/13378503

#SPJ1

Answer:

The given polynomial already has two terms that can be factored out:

9x^2y^6 - 25x^4y^8 = (3xy^3)^2 - (5x^2y^4)^2

Now we have a difference of squares:

= (3xy^3 - 5x^2y^4)(3xy^3 + 5x^2y^4)

Therefore, 9x^2y^6 - 25x^4y^8 can be rewritten as the product of (3xy^3 - 5x^2y^4) and (3xy^3 + 5x^2y^4).

Answer: The answer would be   (3xy^3-5x^2y^4)(3xy^3+5^2y^4)

(C)

Step-by-step explanation: Cant explain how to but for a quick answer it is C, and you can check the image for proof.

Answer:

12 as. cm that's the answer

( 2,-9) points lie on the same line.

Line point intercept is defined.

Quantifying soil cover, including vegetation, litter, rocks, and biotic crusts, quickly and accurately can be done using the line-point intercept approach.

                                  These metrics deal with the erosion caused by wind and water, water infiltration, and the site's capacity to withstand damage and recover from it.

k = -5 - 3/1 - (-1)  = -8/2 = -4

the formula of the line is  

                                    y - 3 = -4(x+ 1)

 when x  = -3 , y = 11 ≠ 12 the points aren't on line.

 when x = -5, y = 19 ≠ 1

  when x = 4, y = -7 ≠ 15

   when x = 2, y = -9 ≠ 7

    when x = 0, y = -1 ≠ -2

  ( 2,-9) are on the same line.

Learn more about Line-point intercept

brainly.com/question/1698680

#SPJ9

Dan's average speed score for the season is -1.

What is the arithmetic operations?

Arithmetic operations are mathematical operations that involve manipulating numbers to perform calculations. The four basic arithmetic operations are addition, subtraction, multiplication, and division.

To find Dan's average speed score for the season, we need to add up all his scores and divide by the total number of scores. We can do this as follows:

-1 + (-3) + 1 + (-1) + (-2) + 0 = -6

Dan's total score for the season is -6. To find his average score, we need to divide this total by the number of scores, which is 6 in this case:

-6 / 6 = -1

Hence, Dan's average speed score for the season is -1.

To learn more about arithmetic operations, Visit

https://brainly.com/question/25834626

#SPJ1

The portfolio weight of Stock A is 0.625 for the given situation.

The percentage of a portfolio's investments that are assigned to each asset or security is shown by the portfolio weights. Investors can meet their chosen risk and return objectives by varying the weights of various assets in their portfolios. Portfolio weights are a key component of asset allocation and portfolio optimization methodologies since they are used to determine the expected return and risk of a portfolio.

Let w be the weight (proportion) of Stock A in the portfolio.

The weight of Stock B would be (1-w).

Given that, the portfolio has an expected return of 10.2 percent.

0.102 = w(0.117) + (1-w)(0.083)

w = (0.102 - 0.083)/(0.117 - 0.083) ≈ 0.625

Hence, the portfolio weight of Stock A is 0.625 for the given situation.

Learn more about percent error here:

https://brainly.com/question/3670306

#SPJ1

The percentage of the red roses did Fancy Flowers Florist use to decorate for the grand opening at the museum is 80%

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, a flower shop received a shipment of 250 red roses, they will use 200 out of this for decorating for the grand opening of the Historical Museum,

We need to find the percentage of the red roses used there,

So, the percentage of the red roses used in decoration =

200 / 250 x 100

= 0.8 x 100

= 80%

Hence. the percentage of the red roses did Fancy Flowers Florist use to decorate for the grand opening at the museum is 80%

Learn more about percentage click;

https://brainly.com/question/29306119

#SPJ9

The solutions to the inequality s < 30 are 20%, 17%, 29 and one-half percent (which is equivalent to 29.5%), and 1.5%.

The disparity that best illustrates the phrase "the possibility of snow is less than 30%" is:

s < 30

This implies that the inequality can be solved for any value of s that is less than 30.

We must compare the numbers to 30 and see if they are less than it in order to identify which ones are the answers to the inequality.

The answer is yes because 20% = 0.2 is less than 30%.

It is not a solution because 35% = 0.35 is not less than 30%.

The answer is yes because 17% = 0.17 is less than 30%.

It is not a solution because 30% = 0.3 is not less than 30%.

That is a solution since 29 and a half percent = 0.295 is less than 30%.

The answer is yes because 1.5% = 0.015 is less than 30%.

As a result, the answers to the inequality s 30 are 20%, 17%, 29 and a half percent (or 29.5%), and 1.5 percent.

To know more about Inequality visit:

https://brainly.com/question/30231017

#SPJ1

Answer: 8

Step-by-step explanation:

Since 1 batch uses 1/8 of a bag of flour, I would use equivalent fractions to find how many 8ths are in 3/4.  3/4=?/8

4 times 2 equals 8, so I would multiply 3 by 2 also.  3/4=6/8.  If 1 batch takes 1/8, then 6 batches would use 6/8 or 3/4 of a bag of flour.

The distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.

While travelling from one location to another and back again just multiplying the distance between the two places will give you the total distance travelled when travelling from one spot to another and returning to the beginning position.

The distance from frank's house to john's house = 4/10.

The distance back to Frank's house = 4/10.

Total distance = 4/10 + 4/10

Total distance = 8/10

The distance is thus,

1 - 8/10

Take the LCM:

(10 - 8) / 10

2/10 = 1/5

Hence, the distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.

Learn more about lcm here:

https://brainly.com/question/20380514

#SPJ1

Answer:

a no

b. no

c.no

d. yes

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

1. 20/2 = n - 3

2. 10 = n - 3

3. 10 + 3 = n

4. 13 = n

Step-by-step explanation:

this (outside) angle of depression is equal to the inner angle at P.

because the line of sight from the helicopter to P is like the diagonal in a rectangle spring the rectangle into 2 equal right-angled triangles (one of just rotated by 180° of the other).

so, the angle at P is 30°.

1400 ft = sin(30)×radius

radius being the line of sight from the helicopter to P.

we need to calculate the radius, because we need it for d :

d = cos(30)×radius

radius = 1400/sin(30) = 2800 ft

d = cos(30)×2800 = 2,424.871131... ft ≈ 2,425 ft

Answer:

26

Step-by-step explanation:

10(2) -2(-3)=20+6=26

Answer:

Step-by-step explanation:

[tex]\tt 10a-2b[/tex]

[tex]\tt a=2[/tex]

[tex]\tt b=-3[/tex]

______

Simplify: 10×2 = 20

Simplify: 2×-3= -6

Simplify:-

_____________________

Hope this helps! :)

Answer:

giacsybsc

Step-by-step explanation:

vdgsivetshdvx

The probability that when a couple has three​ children, there are exactly 0 girls is 12.5%

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Calculation of the probability:

Here we assume b for boy, g for girl

Now, the probability conditions are;

g - g - g

g - g - b

g - b - g

g - b - b

b - g - g

b - g - b

b - b - g

b - b - b

Thus, There are 8 outcomes, one of which (b - b - b) with exactly 0 girls.

So, We get;

⇒ 1 ÷ 8

= 0.125

= 12.5%

Learn more about probability here:

brainly.com/question/24613748

#SPJ1

Step-by-step explanation:

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, the circumference of the circular track is 0.4 mile, which is equal to 2112 feet (0.4 x 5280 = 2112).

Therefore, we can write the equation:

2112 = 2πr

Solving for r, we get:

r = 2112 / (2π)

r ≈ 336.31 feet (rounded to the nearest hundredth)

Therefore, the radius of the track, in feet, is approximately 336.31 feet. The closest option to this answer is 336.31 feet.

Answer:

334.31

Step-by-step explanation:

please give brainliest

Answer:

2,118.01

Step-by-step explanation:

Using linear equations, Tiffany was charged $10.77 for 8 minutes at the self-serve car wash.

Solving a linear equation involves determining the answer to a linear equation with one, two, three, or more variables. The answer to a linear equation is the value or values of the variable(s) that are part of the equation. In the elimination procedure, any coefficient is first made equal, then deleted. After elimination, the equations are solved to provide the other equation.

Given that, the car wash charges $5.25 to use its facilities, plus an additional $0.69 for each minute.

C = 5.25 + 0.69x

For 8 minutes:

C = 5.25 + 0.69(8)

C = $10.77

Hence, Tiffany was charged $10.77 for 8 minutes at the self-serve car wash.

Learn more about equations here:

https://brainly.com/question/29657992

#SPJ1

The answer of the question based on distance and width of the canyon is width of the trapezoid is approximately 67.43 feet.

A trapezoid is  quadrilateral ( four-sided polygon) that has two parallel sides and two non-parallel sides. The parallel sides are referred to as  bases of the trapezoid, while the non-parallel sides are called  legs. The distance between  two parallel sides is called  height or altitude of trapezoid.

The figure in the provided link is a trapezoid with parallel sides AB and CD, and non-parallel sides BC and AD.

Since AB and CD are parallel, we know that the length of the altitude is the same as the distance between them.

Let's call the width of the trapezoid "x". Then, we can use the following equation using the Pythagorean Theorem:

(AC)^2 = (BC)^2 + (AB - CD + 2x)^2

where AC is the diagonal connecting points A and C.

Substituting the given values, we get:

(AC)^2 = (35)^2 + (35 - 80 + 2x)^2

(AC)^2 = 1225 + (2x - 45)^2

(AC)^2 = 1225 + 4x^2 - 180x + 2025

(AC)^2 = 4x^2 - 180x + 3250

Now, we can use the distance formula to find the length of AC:

AC = sqrt[(A - C)^2 + (B - D)^2]

AC = sqrt[(35 + 35)^2 + 80^2]

AC = sqrt[4900 + 6400]

AC = sqrt(11300)

AC = 106.23 feet (rounded to two decimal places)

Substituting the value in  equation above, we will get:

(106.23)^2 = 4x^2 - 180x + 3250

11299.77 = 4x^2 - 180x + 3250

4x^2 - 180x + 8049.77 = 0

Solving the quadratic equation using quadratic formula, we will get:

x = [180 ± sqrt(180^2 - 4(4)(8049.77))] / (2(4))

x = [180 ± sqrt(129322.08)] / 8

x = [180 ± 359.44] / 8

We take the positive root, since x represents a length, and we get:

x = (180 + 359.44) / 8

x = 67.43 feet (rounded to two decimal places)

Therefore, the width of the trapezoid is approximately 67.43 feet.

To know more about Altitude visit:

https://brainly.com/question/6753702

#SPJ1

Answer:

Step-by-step explanation:

catss

Answer:

[tex]\mathrm{225\:in\:\right)^3}[/tex]

Step-by-step explanation:

Given:

base = b = 10 in

height = h = 9 in

length = l = 5 in

[tex]\mathrm{Use\:formula}\:\mathrm{V= \dfrac{1}{2}\times\:b\times\:h\times\:l:}[/tex]

[tex]\mathrm{V= \dfrac{1}{2}\times\:10\times\:9\times\:5}[/tex]

[tex]\mathrm{= 225\:in\:\right)^3}[/tex]

Final answer is rounded to 3 decimal places.

Answer: C

Step-by-step explanation:

so since the squared variable is the "x", we're looking at a vertical parabola, and its axis of symmetry will be at the x-coordinate for its vertex, let's find its vertex then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+31} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 12}{2(1)}~~~~ ,~~~~ 31-\cfrac{ (12)^2}{4(1)}\right) \implies \left( - \cfrac{ 12 }{ 2 }~~,~~31 - \cfrac{ 144 }{ 4 } \right) \\\\\\ \left( -6 ~~~~ ,~~~~ 31 -36 \right)\implies (\stackrel{ x }{-6}~~,~-5)\hspace{5em}\stackrel{ \textit{axis of symmetry} }{x=-6}[/tex]