9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
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b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
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c) Equating the expressions for area, we have ...
w(4w -15) = w²
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d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
1.55 us gallons.
hope i could help!
Thunderclan89
Answer:
Step-by-step explanation:
I don't know if we are supposed to use the numbers from the previous problem. If not, then what ever number you choose will be 7 times the size of the protein. So let's assume that the givens follow question 2.
The amount of protein = x
The amount of carbs = (700/100)*x
proteins + carbs = 100%
x + 7x = 100 Combine the left
8x = 100 Divide by 8
8x/8 = 100/8
x = 12.5
Protein = 12.5 carbs
Carbs = 7*12.5 = 87.5 grams
So both cereals contain 12.5 grams of proteins and 87.5 grams of carbs.
The amount Levi spends on this skateboard is $148.39.
Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.
The amount Levi spends on this skateboard = value of the tax + cost of the skateboard
value of the tax = 6% x $139.99
0,06 x $139.99 = $8.40
The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39
To learn more about taxes, please check: brainly.com/question/19540033
Answer:
Distance = 5
Step-by-step explanation:
x2 = 3
y2 = 1
x1 = 7
y1 = -2
=> d = Square root of (3 - 7)^2 + (1 + 2)^2
=> d = Square root of (-4)^2 + (3)^2
=> d = Square root of 16 + 9
= d = Square root of 25
d = 5