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2 years ago

Sophia earned $48.75 in 3 hours and 15 minutes. How many dollars did she earn per?

Mathematics

1 answer:

asambeis [7]2 years ago

5 0

Answer:

$15

Step-by-step explanation:

48.75 / 3.25 (since 15 minutes is 1/4 of an hour)

$15

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A.B,and C are collinear. AB=5x-19,and BC= 3x+4. Find an expression for AC if B is between A and C.

uysha [10]

Find A if B is between A and C.
A.B,and C are collinear so A, B and C are line up in a line

AC = AB + BC

AB=5x-19,and BC= 3x+4 given;

AC = 5x-19 + 3x+4

Simplify

AC = 8x -15

4 0

3 years ago

The midpoint of line CD is M(-3,-7). If the coordinates of C are (-2, -10), what are the coordinates of D?

Lynna [10]

Answer:

D = (-4, -4)

Step-by-step explanation:

Given;

midpoint of line CD = M(-3, -7)

coordinate of C = (-2, -10)

The coordinate of D is calculated as follows;

C(-2, -10)---------------------M(-3, -7)--------------------D

$M = \frac{D_1 + C_1}{2} \ , \ \frac{D_2 + C_2}{2} \\\\(-3, \ -7) = \frac{D_1 + (-2)}{2} , \ \frac{D_2 + (-10)}{2} \\\\(-3, \ -7) = \frac{D_1 \ - \ 2}{2} , \ \frac{D_2 -10}{2} \\\\-3 = \frac{D_1 \ - \ 2}{2} \ \ ----(1)\\\\-7 = \frac{D_2 -10}{2} \ -----(2)\\\\From \ (1): 2(-3) = D_1\ - \ 2\\\\-6 = D_1 - 2\\\\-6 + 2 = D_1\\\\-4 = D_1\\\\From \ (2) : \ 2(-7) = D_2 - 10\\\\-14 = D_2 - 10\\\\ -14 + 10 = D_2\\\\-4 = D_2\\\\The \ coordinate \ of \ D = (D_1\ , \ D_2)\\\\D = (-4 \ , \ -4)$

Therefore, the coordinate of D = (-4, -4)

6 0

3 years ago

Why do equivalent ratios form a straight line when graphed? O The vertical distance between points is constant, and the horizont

hoa [83]

Answer:

D-The y-values of equivalent ratios increase at a constant rate, and the x-values decrease at a constant rate.

Step-by-step explanation:

did the quiz:)

7 0

3 years ago

Read 2 more answers

Is it possible for the function f(x) - 5 x 2^x to have an output of 200?

Advocard [28]

Answer:

The solution is possible

Step-by-step explanation:

Given

$f(x) = 5 * 2^x$

Required

Is an output of 200, possible?

To know if it is possible or not, we start by substituting 200 for f(x)

$200 = 5 * 2^x$

Divide both sides by 5

$\frac{200}{5} = \frac{5}{5} * 2^x$

$\frac{200}{5} = 2^x$

$40 = 2^x$

$2^x =40$

Take logarithm of both sides

$log2^x =log40$

Apply law of logarithm

$xlog2 =log40$

Divide both sides by log2

$x = \frac{log40}{log2}$

$x = \frac{1.6021}{0.3010}$

$x = 5.32$

for f(x) = 200, x is approximately 5.32

Hence, the solution is possible

8 0

3 years ago

8(x + 2) = 48 How do I solve this?

Rufina [12.5K]

You distribute the 8 to the x and the 2 which leaves you with 8x + 16 = 48 then u subtract the 16 on both sides, subtract 16 - 16 (cancel out) then 48-16 which gives you 32, from there you should have 8x=32 then you divide 8x by 8 and 32 by 8 which leave the x by itself and you 32/8 is 4 so the final answer is x = 4 !!

7 0

3 years ago

Read 2 more answers