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Artyom0805 [142]
3 years ago
14

Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she

had 40 coins, all of them dimes and quarters. When she added them up, she had a total of $7.75. Let d= number of dimes and q= number of quarters
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0
A) .10 d + .25 q = 7.75
B) d + q = 40

Multiplying B) by -.10
B)  -.10d -.10q = -4.0
Then adding this to A)
A) .10 d + .25 q = 7.75
.15q = 3.75

Quarters = 25
Therefore, dimes = 15
***************************************************
Double-Check
A) .10 d + .25 q = 7.75
A) .10 * 15 d + .25 * 25 = 7.75
A) 1.50 + 6.25 = 7.75

Correct!!


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Step-by-step explanation:

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Assume that y varies inversely with x. If y= 1.6 when x= 0.5, find x when y= 3.2
solniwko [45]

Answer:

x = 0.25

Step-by-step explanation:

If y varies inversely with x, then:

y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x} \quad \textsf{(for some constant k)}

Given:

  • y = 1.6 when x = 0.5

Substitute the given values into the found equation and solve for k:

\implies 1.6=\dfrac{k}{0.5}

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\implies k=0.8

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To find the value of x when y = 3.2, substitute y = 3.2 into the found equation and solve for x:

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7 0
3 years ago
Read 2 more answers
Jason owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and each burrito for $7.50. Yesterday Jason
Dahasolnce [82]

Answer:

The system of equations are;

4.75t + 7.50b = 790

t = 2b

where t is the number of tacos and b is the number of burritos

Step-by-step explanation:

In this question, we are concerned with writing the system of equations that could help us determine the number of tacos and burritos sold.

Firstly, we start with defining variables. Let the number of tacos sold be t and the number of burritos sold be b

*there we twice as many burritos as tacos sold. What this simply means is that the number of tacos sold is twice the number of tacos.

Mathematically that could be written as ;

t = 2b ••••••••••(i)

Now, let’s work with the revenue;

Each taco is sold at $4.75 and he sold a total of t tacos. The revenue realized from tacos sold is thus $4.75 * t = $4.75t

The money realized from selling b burritos at $7.50 each would be $7.50 * b = $7.50b

The addition of both of these will give the total revenue of $790

Thus, we have;

4.75t + 7.50b = 790 ••••••• (ii)

5 0
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