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ICE Princess25 [194]
3 years ago
15

What is the fewest number of quarters, nickels, and pennies that can be fairly exchanged for 2 quarters, 6 nickels, and 9 pennie

s?
Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

Your answer is 3 quarters, 2 nickels, and 4 pennies

Step-by-step explanation:

2 quarters plus 6 nickels plus 9 pennies is equal to 89 cents. So if we subtract 75(3 quarters) we get 14 which is less than 25 therefore we must only use nickels and pennies from now on. If we take 14 and subtract 10(2 nickels) we get 4 which less than 5 leaving us only to use pennies, which one a piece so it must be 4 pennies. Hope this helps!

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The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.
Mila [183]

The volume of helium inside the balloon decreased at a rate of 0.1 cubic feet per minute. The linear equation that represents the given data is y = -0.1x + 6 and its slope m = -0.1.

<h3>What is the equation of a line passing through two points?</h3>

The equation of the line passing through the points (x1, y1) and (x2, y2) is

(y - y1) = m(x - x1).

Where m is the slope of the line and is calculated by

m = (y2 - y1)/(x2 - x1)

<h3>Calculation:</h3>

The given data in the table represents the volume of helium (cu ft), inside a balloon relative to the elapsed time in minutes.

x: 5, 10, 15, 20, 25, 30, 35, 40

y: 5.5, 5, 4.5, 4, 3.5, 3, 2.5, 2

From this table, consider two points (5, 5.5) and (10, 5)

So, the equation of the line is

y- y1 = m(x - x1)

Where slope m = (y2 - y1)/(x2 - x1)

⇒ m = (5 - 5.5)/(10 - 5)

⇒ m = -0.5/5

∴ m = -0.1

Thus, the equation is

y - 5.5 = -0.1(x - 5)

⇒ y - 5.5 = -0.1x + 0.5

⇒ y = -0.1x + 0.5 + 5.5

⇒ y = -0.1x + 6.0

∴ y = -0.1x + 6

Since the slope of the line is negative, the volume of the helium inside the balloon decreased at a rate of 0.1 cubic ft per minute.

So, option 2 is correct.

Learn more about the slope of a line here:

brainly.com/question/3493733

#SPJ1

3 0
1 year ago
The residence of a city voted on whether to raise property taxes the ratio of yes votes to no votes was 7 to 4 if there were 367
Tresset [83]

Answer: 10,098 votes

Step-by-step explanation:

The ratio is 7 : 4 which means that for every 7 yes votes, there were 4 no votes.

To find the total votes, add the ratios:

= 7 + 4

= 11

4/11 are the no votes out of the total. Assuming the total is x, the formula is:

4/11x = 3,672

x = 3,672 / 4/11

x = 10,098 votes

5 0
3 years ago
Complete the sequence<br> 0.428. 0.447, 0.466,
Nadusha1986 [10]

Answer:

0.485

Step-by-step explanation:

Each term is 0.019 more than the term before it.

Therefore to find the next term, we just need to add 0.019 to the last given term:

0.466 + 0.019 = 0.485

The next term is 0.485.

Hope this helped!

6 0
3 years ago
Please Help i need good grades by friday
NeX [460]
The answer is that since 25% is 25/100 it simplifies it to 1/4 so the answer is 1/4. Please mark me Brainiest
6 0
2 years ago
Read 2 more answers
In a seventh grade class, 14 out of 30 students are boys. In simplest terms, what is the ratio of the number of boys to the numb
Tanya [424]

Answer:

C

Step-by-step explanation:

14 : 16

7 : 8

boys : girls

3 0
3 years ago
Read 2 more answers
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