Answer:
Step-by-step explanation:


4(4m -3) + -1m(m + -5) = -52

4(-3 + 4m) + -1(m + -5) = -52
(-3 * 4 + 4m * 4) + -1(m + -5) = -52
(-12 + 16m) + -1(m + -5) = -52

-12 + 16m + -1(-5 + m) = -52
-12 + 16m + (-5 * -1 + m * -1) = -52
-12 + 16m + (5 + -1m) = -52

-12 + 5 + 16m + -1m = -52

-12 + 5 = -7
-7 + 16m + -1m = -52

16m + -1m = 15m
-7 + 15m = -52

-7 + 15m = -52
-7 + 7 + 15m = -52 + 7
-7 + 7 = 0
0 + 15m = -52 + 7
15m = -52 + 7

-52 + 7 = -45
15m = -45

15m ÷ 15 = -45 ÷ 15
m = -3

m = -3
<u>☆</u><u>.</u><u>.</u><u>.</u><u>hope this helps</u><u>.</u><u>.</u><u>.</u><u>☆</u>
_♡_<em>mashi</em>_♡_
Answer:
138 meters
Step-by-step explanation:
step 1
Find the radius of the circular city plaza
The area is equal to

we have


substitute

solve for r

step 2
we know that
To find out how long is the row of bricks, determine the circumference of the circular city plaza
The circumference is equal to

we have


substitute

Answer:
7 1/2 quart of paint
Step-by-step explanation:
To get the correct color, Johan mixed 3 1/4 quart of white paint, 1 2/4 quart of blue paint, and 2 3/4 quart of green paint. How much paint did Johan make? *
The above question is solved as:
3 1/4 quart + 1 2/4 quart + 2 3/4 quart
Lowest common denominator = 4
3 + 1 + 2 + ( 1/4 + 2/4 + 3/4)
= 6 + ( 1 + 2 + 3/4)
=( 6 + 6/4) quart
= 6 + 1 2/4 quart
= 7 2/4 quart of paint
= 7 1/2 quart of paint
Therefore, Johan made 7 1/2 quart of paint
Answer:
Non-proportional; the rate of change is $40/hour
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>
Let
x -----> the number of hours
y ----> The total charge in dollars
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute

This relationship is not proportional, because the line not passes through the origin
therefore
Non-proportional; the rate of change is $40/hour