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Volgvan
3 years ago
12

Students observing a caterpillar crawl on a tree noticed that the caterpillar crawled upwards 38 of an inch every minute. The ca

terpillar was already 4.5 feet off the ground when the students began observing.
Which function represents the total number of inches the caterpillar crawls after x minutes?

f(x) = 4.5x + 3/8

f(x) = 54x + 3/8

f(x( = 3/8x + 54

f(x) = 3/8x + 4.5
Mathematics
2 answers:
stira [4]3 years ago
8 0

Answer: Third Option

f(x) = \frac{3}{8}x + 54

Step-by-step explanation:

We want to propose an equation that models the distance traveled by the caterpillar as a function of time, we have a constant initial quantity of 4.5 feet and then we know that every minute the caterpillar advances 3/8 of an inch

Then the distance that the caterpillar to advanced after x minutes is:

f(x) = \frac{3}{8}x

Then we know that initially the caterpillar was at a distance of 4.5 feet or 54 inch

Then the equation for the distance in inch is:

f(x) = \frac{3}{8}x + 54

Luda [366]3 years ago
5 0

Answer:

f(x) = 4.5x + 3/8

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Solve for xx. Express your answer as a proper or improper fraction in simplest terms.
kati45 [8]

Answer:

4/5

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a
Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax =(200000*0.30)dollar=60000 dollar.

<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000

Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


5 0
3 years ago
The actual length of a in the triangle shown is 10 cm. Use the scale drawing of the triangle to find the actual length of side b
mafiozo [28]
The answer is B, 12.5
8 0
3 years ago
Please help!!!! ASAP HURRY
velikii [3]
Your answer is the matrix with the top row of -8  20   0  and bottom row of 
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5 0
3 years ago
In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team wi
UkoKoshka [18]

Answer:

x = \frac{4}{9}

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

x = 0.444

Convert to fraction

x = \frac{444}{1000}

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

x = \frac{444}{1000 - 1}

x = \frac{444}{999}

Simplify to the lowest term: Divide numerator and denominator by 37

x = \frac{444/37}{999/37}

x = \frac{12}{27}

Simplify to the lowest term: Divide numerator and denominator by 3

x = \frac{12/3}{27/3}

x = \frac{4}{9}

Hence;

There winning fraction is \frac{4}{9}

8 0
2 years ago
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