MATHEMATICS HIGH SCHOOL

the cost of a family membership at a health club $58 per month plus a one time 129 start up fee . if a family spent 651 , how many months is their membership?

Answers

Answer 1

Answer:

Answer:

9 months

Step-by-step explanation:

651=58x+129

-129 -129

522=58x divide 522 by 58

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Yuto left his house at 10 a.m. to go for a bike ride. By the time Yuto’s sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, over what time period in minutes, t, starting from when Riko left the house, will Riko be behind her brother?Riko will be behind Yuto when 0 ≤ t <________ minutes.
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10. Madison is 7 less than four times as old as Paige.

Answers

madison is 13 & paige is 5

What is the volume of a sphere with a surface area of 25π yd2?

Answers

Answer:

The volume of sphere is:

65.4167 yd^3

Step-by-step explanation:

We are given surface area of sphere as:

$Area=25\pi\ \text{yd^2}$

We know that the surface area of sphere of radius ''r'' is given by the formula:

$Area=4\pi r^2$

i.e. we have:

$4\pi r^2=25\pi\n\ni.e.\n\nr^2=(25)/(4)\n\n\nr^2=(\ddfrac{5}{2})^2\n\ni.e.\n\nr=\pm (5)/(2)$

As we know that the radius of a circle can't be negative.

Hence,

$r=(5)/(2)\ \text{yd}$

Now the volume of sphere is given by:

$Volume=(4)/(3)\pi r^3\n\ni.e.\n\nVolume=(4)/(3)\pi ((5)/(2))^3\n\ni.e.\n\nVolume=65.4167\ \text{yd^3}$

Volume of sphere is:

65.4167 yd^3

V=11.75 Thats the volume

Find the slope and y-intercept of the line 6x + 2y = –88 help quick please

Answers

6x + 2y = -88
- 6x - 6x
2y = -6x - 88
2 2
y = -3x - 44

Slope: -3
Y-Intercept: -44

6x+2y=-88
2y=6x-88
y=3x-44
y=mx+b
b is the y-intercept, m is the slope
use this next time. please. you need to know this

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign? 4x + 5 4x – 5 8x + 5 8x – 5

Answers

The pet shop sign is modelled as a square. The area of the square is given as $16x^(2)-40x+25$ .

Technically we want to take a square root of this expression to find the length of one side of the square but we will check first whether factorising will give us equal roots

$16x^(2)-40x+25$
$16 x^(2) -20x-20x+25$
$4x(4x-5)-5(4x-5)$
$(4x-5)(4x-5)$

As we see that by factorising gives us $(4x-5)^(2)$ hence the side length of the square is $4x-5$

correct answer is

B)4x – 5

Simplify 8 -2/3 please (leave as fraction)

Answers

$8^{-(2)/(3)}=\left(2^3\right)^{-(2)/(3)}=2^{3\cdot(-(2)/(3))}=2^(-2)=\left((1)/(2)\right)^2=(1)/(4)$

$8^{-(2)/(3)}=\n \left((1)/(8)\right)^{(2)/(3)}=\n \sqrt[3]{\left((1)/(8)\right)^2}=\n \sqrt[3]{(1)/(64)}=\n (1)/(4)$

Which statement about scatter plots is true?Associated variables cannot be represented on scatter plots.

A regression line must pass through all the points on the scatter plot.

A regression line cannot help predict future values of variables.

Scatter plots can be used to represent quantitative data.

Answers

Answer:

On the Scatter Plot, the two variables associated with each other when represented in Quantitative form that is in the form of x-values and y-values, it can be drawn in two dimensional coordinate plane, Representation being a line.

1.The Line may pass through all the points , a single point or none of the points.

2. It can also predict the future values that is for given x , we can find y and for given y , we can find x.

So, only option (4) which is,Scatter plots can be used to represent quantitative data is true.

The answer is letter D.

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Find the number of sides of the regular polygon when the measure of an exterior angle is given.1. 30° 2. 10°