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Pavlova-9 [17]
3 years ago
14

The Cazneau family starts their journey with a supply of 30 lbs of coffee. When they arrive at Sutter's fort in California, 188

days later, they have only 3 lbs left. Find the average amount of coffee consumed per day. Please explain your process in finding the answer.
Mathematics
1 answer:
Flura [38]3 years ago
5 0

Answer:

The average amount of coffee consumed per day was 0.14 lb

Step-by-step explanation:

we know that

To find out the average amount of coffee consumed per day, divide the total amount of coffee consumed by the number of days

Let

x -----> the total amount of coffee consumed in pounds

y ----> the number of days

we have

To find out the total amount of coffee consumed subtract 3 lbs from 30 lbs

x=30-3=27\ lbs

y=188\ days

so

\frac{27}{188}=0.14\frac{lbs}{day}

therefore

The average amount of coffee consumed per day was 0.14 lb

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Is 5(2+a) = 5∙2+5⋅a. Explain your answer
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Answer:

Yes 5(2+a) = 5·2 + 5·a

Step-by-step explanation:

This is showing how you are using the Distributive Property. You are multiplying the 5 by the 2 and a and then you are adding those products together.

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2 years ago
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Step-by-step explanation:

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412 students were surveyed about their preferences of sports. 115 students like football, 100 students like baseball, and 45 stu
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Answer: 242 students do not like football or baseball

Step-by-step explanation:

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Solving systems elimination: I don’t understand how to solve at all. Please help if you can.
german

The solution to given system of equations y = 3x - 9 and y = -2x + 16 are (x, y) = (5, 6)

The solution to given system of equations y = 5x + 22 and -6x - 4y = -10 are (x, y) = (-3, 7)

<em><u>Solution:</u></em>

Given that, we have to solve each system by substitution method

<em><u>Given system of equations are:</u></em>

y = 3x - 9 ----------- eqn 1

y = -2x + 16 -------- eqn 2

Substitution method is done by substituting eqn 2 in eqn 1

<em><u>Substitute the value of "y" from eqn 2 into eqn 1</u></em>

-2x + 16 = 3x - 9

Move the variables to one side and constants to other side

-2x - 3x = -9 - 16

Combine the like terms

-5x = -25

Cancel the negative sign on both sides of equation

5x = 25

x = \frac{25}{5} = 5

<h3>x = 5</h3>

<em><u>Substitute x = 5 in eqn 1</u></em>

y = 3(5) - 9

y = 15 - 9

<h3>y = 6</h3>

Thus solution to given system of equations are (x, y) = (5, 6)

<em><u>Given another system of equations are:</u></em>

y = 5x + 22 ----- eqn 1

-6x - 4y = -10 ------ eqn 2

Substitute eqn 1 in eqn 2

-6x - 4(5x + 22) = -10

-6x - 20x - 88 = -10

Move the variables to one side and constants to other side

-26x = -10 + 88

-26x = 78

<h3>x = -3</h3>

Substitute x = -3 in eqn 1

y = 5( - 3) + 22

y = -15 + 22

<h3>y = 7</h3>

Thus solution to given system of equations are (x, y) = (-3, 7)

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3 years ago
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