PLEASE HELP I DON'T UNDERSTAND

Answers

Answer 1

Answer: x = the number of months the tire was used
y = the thickness of the tire tread

y = -(3/7)x + 20

Substitute x for 20 (the number of months the tire was used) and solve for y.

The next question: Substitute x for 49 (the number of months the tire was used) and solve for y.

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Name an improper fraction that can be written as a whole number

Answers

18/9. which is 18 over 9. this is because 9 goes into 18 twice.

n 2010, the ratio of boys to girls in the top 10 percent of their class at Bixby High School was 3 to 5. In 2011, the number of boys increased by 6 and the number of girls increased by 2. If the new ratio of boys to girls is 2 to 3, write an expression that represents how many students were in the top 10% in 2010.

Answers

Answer: Total number of students will be 112.

Step-by-step explanation:

Since we have given that

The ratio of boys to girls in the top 10% of their class at Bixby High School was

$3:5$

So, Let the number of boys be 3x

Let the number of girls be 5x

According to question,

$(3x+6)/(5x+2)=(2)/(3)\n\n3(3x+6)=2(5x+2)\n\n9x+18=10x+4\n\n18-4=10x-9x\n\n14=x$

So, total number of students will be

$3x+5x=8x\n\n8* 14=112$

Hence, Total number of students will be 112.

If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?

Answers

$(x-7)^(2) + (y+6)^(2) = 10$ is the equation of the required circle.

Step-by-step explanation:

Step 1 :

Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.

We need to determine the circle's equation with this diameter

Step 2 :

The mid point of the diameter will be center of the required circle.

Let M = (x,y) be the mid point of the circle.

So we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2

M = ( 7, -6) is the midpoint of the diameter and the center of the circle.

Step 3 :

The radius of the circle is distance between midpoint and any one of the end point of the diameter that is distance between point A(8,-9) and M ( 7,-6)

Distance between the 2 points $(x_(1) ,y_(1)) and (x_(2) ,y_(2))$ is given by

$\sqrt{(x_(2)-x_(1))^(2)+ (y_(2)-y_(1))^(2) }$

So distance between A(8,-9) and M ( 7,-6) = $\sqrt{(7-8)^(2)+ (-6-(-9))^(2) }$

= $\sqrt{(1)^(2)+ (3)^(2) } = √(10 )$

Hence the radius r is $√(10)$

Step 4 :

The equation of circle with center (a,b) = (7,-6) and radius r = $√(10)$ is given by

$(x-a)^(2) + (y-b)^(2) = r^(2)$

=> $(x-7)^(2) + (y-(-6))^(2) = (√(10) )^(2)$

=> $(x-7)^(2) + (y+6)^(2) = 10$ is equation of the required circle.

Step 5 :

Answer :

$(x-7)^(2) + (y+6)^(2) = 10$ is equation of the required circle.

Is 3y=4x an example of direct variation?

Answers

Answer:

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

A direct variation is defined as when two numbers change but one is always a multiple of the other or if they always have a constant ratio.

if you have a rectangular banner and the length is 44 inches and has a perimeter of 156 inches and an area of 1496 square inches. if i make a similar figure as the original banner with the length of 11 inches what is my perimeter and area?

Answers

Well there's two ways to approach this:
1.) Finding the width and going from there
2.) Finding the scale factor

I would recommend using the scale factor technique. You see how the length is reduced by a factor of 4? Well since the perimeter's formula involves adding length times width, you can just multiply the perimeter by 1/4 since the length went from 44 to 11(Just a rule, take it by heart). That means that the perimeter is $(156)/(4) = 39$ .

The area is multiplied, not added, so you have to square the scale factor. This means multiply the area by 1/16 (Another rule, take it by heart). This means that the area is [tex]\frac{1496}{16} = between 94 and 95

Which is different? Find "both" answers.a. Rewrite 1/3*3*3 using a negative exponent
b. Write 3 to the negative third
c. Write 1/3 cubed as a power
d. Write (-3)*(-3)*(-3) as a power

Answers

B & C would be your answer because 3^-3 would turn into a fraction, 1/3^3 which is the same as C.

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