Answer:
Step-by-step explanation:
Area of left rectangle:
Length = 36 ft
Width = 8
Area1 = length * width
= 36 * 8
= 288 square feet
Area of right rectangle:
Length = 15 ft
Width = 22 - 8 = 14 ft
Area2 = 15 * 14
= 210 square feet
Area of the figure = Area1 + area2
= 288 + 210
= 498 square feet
Answer:
A. 4(x + 8) = 56
Step-by-step explanation:
the correct equation would be 4(x + 8) = 56
because we need to find the number of hours on Saturday, since there Sheldon gets paid $4 per hour, we must subtract the amount Sheldon made on Sunday by the total he made and then divide that by 4 to get the number of hours on Saturday
$4 = number of dollars per hour
$56 = total on Saturday and Sunday
8 hours = Number of hours babysat on Sunday
x = hours spent on Saturday
4(x + 8) = 56
Step 1: Simplify both sides of the equation.
4(x + 8) = 56
(4)(x) + (4)(8) = 56(Distribute)
4x + 32 = 56
Step 2: Subtract 32 from both sides.
4x + 32 − 32 = 56 − 32
4x = 24
Step 3: Divide both sides by 4.
4x/4 = 24/4
x = 6
To check if this is correct, we add the amount Sheldon earned on Saturday to the amount he earned on Sunday, which is
6(4) + 8(4) = 56
24 + 32 = 56
56 = 56
or you could substitute the answer in the problem
4(6 + 8) = 56
Distribute
24 + 32 = 56
Simplify
56 = 56
Answer:
600 seats
Step-by-step explanation:
We know there is 120 seats on a balcony and that is of the total seats, we want to find the total number of seats so,
120 seats =
We know that a whole fraction sums to 1 so for example
120 seats =
Multiply both sides to make it a whole fraction
600 seats =
So if there is 120 seats and that number is only of the total number of seats then the total number of seats is 600
Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:
Solve for x
Subtract 8x from both sides
Add 11 to both sides
Divide both sides by 2
2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
Answer:
a =
Step-by-step explanation:
Given
ga + q = r ( subtract q from both sides )
ga = r - q ( isolate a by dividing both sides by g )
a =