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Likurg_2 [28]
3 years ago
10

an insulated tote bag has a volume of 972 cubic inches. if the base of the tote bag is a square with an area of 81 square inches

what is the height
Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Answer: The height is 12 inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume: area x height

Replacing with the values given:

972 cubic inches = 81 square inches x h

Solving for h (height)

972/81 = h

12 inches =h

The height is 12 inches.

Feel free to ask for more if needed or if you did not understand something.

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Solve the system of equations using substitution.
faltersainse [42]

Answer:

( \frac{1}{3}, 3 )

Step-by-step explanation:

Given the 2 equations

y = 9x → (1)

6x - y = - 1 → (2)

Substitute y = 9x into (2)

6x - 9x = - 1, that is

- 3x = - 1 ( divide both sides by - 3 )

x = \frac{1}{3}

Substitute x = \frac{1}{3} into (1) for corresponding value of y

y = 9 × \frac{1}{3} = 3

Solution is ( \frac{1}{3}, 3 )

6 0
2 years ago
How do I solve 28.8=18x
kolezko [41]
28.8 = 18x....divide both sides by 18, eliminating the 18 on the right side
28.8 / 18 = x
1.6 = x <==
3 0
2 years ago
Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)​
11111nata11111 [884]

According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so

  • 8x - 20 = 5x + 37

  • 8x - 5x = 37 + 20

  • 3x = 57

  • x = 57 ÷ 3

  • x = 19
5 0
2 years ago
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
How tall is the welcome sign​
lisov135 [29]

Answer:

the sign is 5 ft tall

Step-by-step explanation:

30 % 12.5=2.4

12 % 2.4=5

4 0
3 years ago
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