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siniylev [52]
2 years ago
5

As soon as possible please.

Mathematics
1 answer:
eduard2 years ago
7 0

Answer:

x = - 7

Step-by-step explanation:

Express the diagrams in equation form with output y

A y = 5x - 4

B y = 3x + 8

Equate the right sides so that A is 3 times B

5x - 4 = 3(3x + 8) ← distribute parenthesis

5x - 4 = 9x + 24 ( subtract 9x from both sides )

- 4x - 4 = 24 ( add 4 to both sides )

- 4x = 28 ( divide both sides by - 4 )

x = - 7

As a check

A  y = 5(- 7) - 4 = - 35 - 4 = - 39

B  y = 3(- 7) + 8 = - 21 + 8 = - 13

then - 13 × 3 = - 39

The required input is x = - 7

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Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 i
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Answer:

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Step-by-step explanation:

volume of a cylinder = \pir^{2}h

volume of ice cream in the cylindrical tub = \frac{22}{7} x 5^{2} x 9

                                           = \frac{22}{7} x 25 x 9

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The ice cream scoop has a spherical volume, so that;

volume of a sphere = \frac{4}{3}\pir^{3}

r = \frac{2.5}{2}

 = \frac{5}{4} inches

volume of the scoop = \frac{4}{3} x \frac{22}{7} x (\frac{5}{4} )^{3}

                                  = \frac{4}{3} x \frac{22}{7} x \frac{125}{64}

                                  = 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

                                          = 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

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Volume of ice cream left in the tub is 404.32 cubic inches.

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Answer:

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Step-by-step explanation:

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