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Novay_Z [31]
3 years ago
12

On Monday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold wa

s three times the
number of hamburgers sold. How many hamburgers were sold on Monday?
Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

136 hamburgers

Step-by-step explanation:

Create an equation where x is the number of hamburgers sold.

The number of cheeseburgers sold can be represented by 3x, since it was 3 times the number of hamburgers.

3x + x = 544

Solve for x:

4x = 544

x = 136

So, 136 hamburgers were sold on Monday

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A rectangular box is designed to have a square base and an open top. The volume is to be 500in.3 What is the minimum surface are
mr_godi [17]

The minimum surface area that such a box can have is 380 square

<h3>How to determine the minimum surface area such a box can have?</h3>

Represent the base length with x and the bwith h.

So, the volume is

V = x^2h

This gives

x^2h = 500

Make h the subject

h = 500/x^2

The surface area is

S = 2(x^2 + 2xh)

Expand

S = 2x^2 + 4xh

Substitute h = 500/x^2

S = 2x^2 + 4x * 500/x^2

Evaluate

S = 2x^2 + 2000/x

Differentiate

S' = 4x - 2000/x^2

Set the equation to 0

4x - 2000/x^2 = 0

Multiply through by x^2

4x^3 - 2000 = 0

This gives

4x^3= 2000

Divide by 4

x^3 = 500

Take the cube root

x = 7.94

Substitute x = 7.94 in S = 2x^2 + 2000/x

S = 2 * 7.94^2 + 2000/7.94

Evaluate

S = 380

Hence, the minimum surface area that such a box can have is 380 square

Read more about surface area at

brainly.com/question/76387

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5 0
2 years ago
Find the volume of the triangular prism
gulaghasi [49]

Answer:

V = 5280 in^3

Step-by-step explanation:

The volume is found by

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34^2 = 16^2 + b^2

34^2 -16^2 = b^2

900 = b^2

30 =b

B = 1/2 bh

  = 1/2 (30) *16

B =240

V = Bh

V = 240 * 22

V = 5280 in^3

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3 years ago
The radius of star A is 6.9203x10^5 km, which is 108.7 times the rafius of star B. what is the radius of the star B?
Kay [80]

Answer:

6366.4213

Step-by-step explanation: 6.9203x10^5 is 692,030. I divided 692,030 by 108.7 to get the answer. Anybody can correct any error I may have.

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The table shows the relationship between the number of songs Alisha has purchased and the cost of her purchase. Find the rate of
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Answer:

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The tubs are similar in shape.
faltersainse [42]

Answer:

The tube are similar in shape.

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Step-by-step explanation: Hope this help(:

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