surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
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surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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Answer:
The expected amount to be paid by the carnival committee for prices would be $366.80
Step-by-step explanation:
Hello!
Here, we want to calculate the amount of money the carnival committee is expected to pay for the prizes for that booth
From the question, we have 3 categories of prices to be won
To calculate for people that won’t win anything , we simply subtract the percentages of all from 100
That would be 100-32-10-8 = 100-50 = 50%
So now let’s calculate the number of people out of 200 that will win each category based on the percentages
For stuffed toy
32/100 * 200 = 64
Jump rope
10/100 * 200 = 20
For t-shirt
8/100 * 200 = 16
So total price paid for stuffed toy= 3.25 * 64 = $208
For jump rope, we have 1.7 * 20 = $34
For t-shirt , we hav 16 * 7.8 = $124.8
So the total value spent on prices by the committee would be;
124.8 + 34 + 208 = $366.80
Answer:
a. 0
b. 0 (undefined)
c. 14
d. 0 (undefined)
Step-by-step explanation:
a. Make x on its own
x = 5 - 5
x = 0
b. Collect like terms (terms that have same variable)
2x - 6 = 2x - 6
Rearrange equation
2x - 2x = -6 + 6
0x = 0
x = 0 (undefined) -- This is because when you divide something by 0 (when 0 is the denominator), it is undefined
c. Rearrange to make whole numbers on one side
3x = 43 - 1
3x = 42
Divide both sides by 3 to make x on its own
x = 14
d. 4x - 4x = 7 + 1
0x = 8
x = 0 (undefined)
First you must find X by setting the sides equal to each other. from that you know x=4 then plug that into the w/ they give you the Equation to. = 6then multiply by 2 and you get 12
I think the correct answer is ethier A ob C im leaning tworad A
