An exterior angle is equal to the sum of the 2 non adjacent angles. In this case
100 = x + 70 Subtract 70
x = 100 - 70
x = 30
David's total income is ($8/hr)x + ($11/hr)y.
This problem requires us to write and solve an inequality:
8x + 11(15)<$200
Solving for x: 8x < $200-$165, or 8x < $35. Strictly speaking, x = 4.375 hrs, but if we assume that David must work an integer # of hours, then x=5 full hours.
The amount invested in the account that yields 7% interest is $4000.
The amount invested in the account that yields 12% interest is $1000.
<h3>What are the linear equations that represent the question?</h3>
a + b = 5000 equation 1
0.07a + 0.12b = 400 equation 2
Where:
a = amount invested in the account that yields 7% interest.
b = amount invested in the account that yields 12% interest.
<h3>How much is invested at each rate?</h3>
Multiply equation 1 by 0.07
0.07a + 0.07b = 350 equation 3
Subtract equation 3 from equation 2
0.05b = 50
b = 50 / 0.05
b = 1000
Subtract 1000 from 5000: 5000 - 1000 = 4000
To learn more about linear functions, please check: brainly.com/question/26434260
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Answer: i don’t know
Step-by-step explanation:
yes
Answer:
(4x + 22) feet
Step-by-step explanation:
Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?
A patio deck = Rectangular in shape
Hence:
The formula for the Perimeter of a rectangle = 2L + 2W
Where
L = Length
W = Width
The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet.
The perimeter of the deck =
2(x + 8)feet + 2(x + 3)feet
= (2x + 16) feet +( 2x + 6)feet
= (2x + 2x + 16 + 6) feet
= (4x + 22) feet
Therefore, the perimeter of the deck = (4x + 22) feet
