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natali 33 [55]
3 years ago
8

Use volume displacement to determine the volume of this metal sample to the nearest 0.1 ml.

Mathematics
1 answer:
umka21 [38]3 years ago
6 0
The volume displacement method is a manifestation of Archimedes' Principle. This principle states that the volume of the object placed on a known volume of water, is equal to the volume of water displaced. Actually, it could just be any liquid. Thus, whatever the displaced volume is, that is equivalent to the volume of the metal sample. I can't give an exact answer because there is no given information. But the concept works that way.
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A ghost crab can travel about 12 miles every 6 hours on the ocean’s floor. How far can the crab travel in 11 hours? Explain how
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Answer:

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Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) x \leq 9.01\ gal

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?  

The budget is given by the equation

y=40

therefore

The budget is $40

Part b)  How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

so

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

3.55x+8 \leq 40

Solve for x

3.55x \leq 40-8

3.55x \leq 32

x \leq 9.01\ gal

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

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