Answer: width = 300
<u>Step-by-step explanation:</u>
Area (A) = Length (L) x width (w)
Given: A = 268,500
L = 3w - 5
w = w
268,500 = (3w - 5) x (w)
268,500 = 3w² - 5w
0 = 3w² - 5w - 268,500
0 = (3w + 895) (w - 300)
0 = 3w + 895 0 = w - 300
-985/3 = w 300 = w
Since width cannot be negative, disregard w = -985/3
So the only valid answer is: w = 300
X = 5; 2(5) - 1 = 9. 4(9) = 36
Answer: price of soda (a) = $2 and price of popcorn (b) = $0.5
Step-by-step explanation:
Let's denote soda = a and popcorn = b
Kaylin bought a soda and two popcorn, writing out an equation for this would be
a + 2b = $3...........equation (i)
And her brother bought 3 sodas and 1 popcorn.
3a + b = $6.50..........equation (ii)
From equation (i),
a + 2b = 3
Making a the subject of formula,
a = 3 - 2b......equation (iii)
Using substitution reaction, put equation (iii) into equation (ii)
3(3 - 2b) + b = $6.50
9 - 6b + b = 6.50
9 - 5b = 6.50
Collecting like terms,
5b = 9 - 6.50
Divide both sides by 5,
b = 5.
Put b = 5 into equation (i)
a + 2(0.5) = 3
a + 1 = 3
a = 2
Therefore, the price of soda is $2 per one and $0.5 for each popcorn.
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
If W is between X and Y, this means that W is the midpoint of X and Y. The expression XW+WY = XY is therefore true.
Given WX = 6n - 10, XY = 17, and WY = 3n, substituting the given functions into the formula;
6n-10+3n = 17
9n-10 = 17
add 10 to both sides
9n-10+10 = 17+10
9n = 27
divide both sides by 9
9n/9 = 27/9
n = 3
Since WX = 6n-10
substitute n = 3 into the function
WX = 6(3)-10
WX = 18-10
WX = 8
<em>Hence n = 3 and WX = 8</em>
