Mathematics: Acoffee bean processor can dry 4,815 pounds of coffee beans in 3 hours which unit rate correctly reflects the speed of the processor

Acoffee bean processor can dry 4,815 pounds of coffee

Ответ:

glowbaby123

09.01.2022

Mathematics

605 pounds/hour

Step-by-step explanation:

Given that a coffee bean processor can dry 4815 pounds of coffee in 3 hours.

We have to find the speed of the processor

By speed of the processor here we mean the unit rate i.e. no of pounds of coffee beans that the processor can process in one hour.

This is a question of direct variation

Since we have for 3 hours 4815

for 1 hour = $\frac{4815}{3} =605$ pounds/hour

So answer is 605 pounds/hour

Verify:

If unit rate is 605 pounds/hour, for 3 hours =605(3) = 4815 pounds

Thus verified

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Ответ:

caromaybelline71

27.08.2020

Mathematics

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{substitute (1) to (2)}\\\\\dfrac{5}{2}x+2\left(\boxed{\dfrac{3}{4}x}\right)=5\\\\\dfrac{5}{2}x+\dfrac{6:2}{4:2}x=5\\\\\dfrac{5}{2}x+\boxed{\dfrac{3}{2}x}=5\qquad|\text{combine like terms}\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\\boxed{4x=5}\qquad|\text{divide both sides by 4}\\\\\dfrac{4x}{4}=\dfrac{5}{4}\\\\\boxed{x=\dfrac{5}{4}}$

$\text{Put it to (1):}\\\\y=\dfrac{3}{4}\left(\boxed{\dfrac{5}{4}}\right)\\\\y=\dfrac{3\cdot5}{4\cdot4}\\\\y=\boxed{\dfrac{15}{16}}$

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Acoffee bean processor can dry 4,815 pounds of coffee beans in 3 hours which unit rate correctly reflects the speed of the processor

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