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N76 [4]
3 years ago
14

if a rug was 5 times as long as thia record sheet, how long would it be? measure the length of this record sheet in centimeters.

​
Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

<u>Answer: </u>

If a rug was 5 times as long as this record sheet. The length of this record sheet in centimeters is 100x centimeter

<u>Solution: </u>

Given that a rug was 5 times than the record sheet.

Let assume the length of the record sheet = x units

Then from given information,

Length of the rug = 5x units

Conversion of measure of record sheet in centimeter completely depends upon in which unit the length is given.

Suppose the given length is in meters, than need to multiply the given length by 100 to get the length in centimeter that is

x meter = x \times 100 = 100x cm

Conversion factor will change accordingly to the unit of given length which needs to be convert into centimeter.  

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Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,
gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

q+3-3\leq 15-3

q\leq 12

From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

q\geq 10.2

Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0
3 years ago
Evaluate this function: For f(x) = -2x + 9, find f(5)
saul85 [17]

f(5) is -1

Step-by-step explanation:

  • Step 1: Given f(x) = -2x + 9, find f(5)

f(5) = -2 × 5 + 9 = -10 + 9 = -1

8 0
4 years ago
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Assume you have 4 fins, each with a mass of 8grams. what's the total weight of these 4 fines?
Kryger [21]
1 fin = 8 grams
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3 years ago
5x+2=5x+2 has how many solutions?
tigry1 [53]
It has 1 solution i believe
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The perimeter of a playing field for a certain sport is 242 ft. the field is a​ rectangle, and the length is 47 ft longer than t
Mariulka [41]
242-94 = 148 (length is 47 more than the width, you double the length to get the perimeter, so you double 47 which equals 94)
148/4 = 37 (4 being the 4 sides of the rectangle)

width = 37
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4 0
3 years ago
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