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Arisa [49]
4 years ago
6

Andy has 31 coins made up of quarters and half dollars, and their total value is $11.00. How many quarters does he have?

Mathematics
1 answer:
charle [14.2K]4 years ago
3 0

Answer:

4

Step-by-step explanation:

This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • h+q=31 is an equation representing the total number of coins
  • 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.

0.50(31-q)+0.25q=11

15.5-0.50q+0.25q=11

15.5-0.25q=11

After simplifying, we subtract 15.5 across and divide by the coefficient of q.

-0.25q=-4.5

q=4

We now know of the 31 coins that 4 are quarters.

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Studentka2010 [4]

Answer:

Tommy earned $250 altogether.

Step-by-step explanation:

Let the total earning of Tommy be 'x' dollars.

Given:

Money spent on entertainment = $80

From the circle shown below:

Percent spent on clothes = 19%

Percent spent on food = 25%

Percent spent on other things = 14%

Percent of savings = 10%

Addition of all percents = 100%

⇒ 19% + 25% + 10% + 14% + % Entertainment = 100%

⇒ 68% + % Entertainment = 100%

⇒ % Entertainment = 100% - 68% = 32%

Therefore, as per question:

32\%\ of\ x=\$80\\\\0.32x=80\\\\x=\frac{80}{0.32}\\\\x=\$250\\

Hence, Tommy earned $250 altogether.

6 0
3 years ago
State if the three numbers can be the measures of the sides of a triangle
Ivanshal [37]
Ok, so 7 5 4

we know that the longest side must be less than the sum of the 2 othe sides

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3 0
3 years ago
Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene​'s car had 5.
Alex787 [66]

Answer:

$27,72

Step-by-step explanation:

The information that we have its

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  • Irene​'s car had 5.3 gallons
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so now for the know, How much did Irene spend on gas?

First

The gas that its necesary for filled de tank its

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7 0
3 years ago
70 points
Firlakuza [10]

Answer:

A

Step-by-step explanation:

-3x²y² × y⁴x³

When multiplying, add the exponents:

-3x⁽²⁺³⁾y⁽²⁺⁴⁾

-3x⁵y⁶

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6 0
3 years ago
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Find the sum: 400 + 394 + 388 + .... - 32
romanna [79]

Answer:

1150 because 400 + 394 + 388 = 1182 - 32 = 1150.

6 0
2 years ago
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