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cluponka [151]
2 years ago
5

A man has 28 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 520 cents, how many d

imes and how many quarters does he have?
Mathematics
1 answer:
nordsb [41]2 years ago
5 0
Assuming x = dimes, y = quarters

x + y = 28 \\ 0.1x + 0.25y = 5.20

x + y = 28 \\ x = 28 - y

Substitute that into,
0.1(28 - y) + 0.25y = 5.20 \\ 2.8 - 0.1y + 0.25y = 5.20 \\0.15y = 2.4 \\ y = 16

Answer : He has 16 quarters.

Hope this helps. - M
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First lets write down our starting conditions:

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16% of 22 gallons is
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7 0
2 years ago
Find the ratio of $22 to $5.50
solniwko [45]

Answer:

4:1

Step-by-step explanation:

22/5.50

divide numerator by denominator and denominator by denominator

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4 0
2 years ago
The drama club at Del Rosa Middle School is having a production.
Firdavs [7]

Answer:

320 Student Tickets

180 Adult Tickets

Step-by-step explanation:

You can solve this problem by using system of equations. First, we need to figure out our equations.

Equation 1: x as students and y as adults

x+y=500

We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.

Equation 2:

3x+5y=1850

We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.

Now that we have out equations, we can use system of equations to find our students and adults.

x+y=500

3x+5y=1860

Typically elimination is the easiest strategy because you are able to cross out variables.

3(x+y=500)

3x+5y=1860

Becomes:

3x+3y=1500

3x+5y=1860

We see that both equations now have 3x. We can cancel out 3x.

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y=180

Now that we know y=180, we can plug it back into one of our equations to find x.

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x=320

320 student tickets and 180 adult tickets were sold.

6 0
2 years ago
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SpyIntel [72]

Answer:

They are parallel because their slopes are equal

Step-by-step explanation:

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Last Sunday, the average temperature was 8\%8%8, percent higher than the average temperature two Sundays ago. The average temper
SVETLANKA909090 [29]

Answer: The two answers are 1.08<em>T</em> and (1 + \frac{8}{100} )<em>T</em>.

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