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Scrat [10]
4 years ago
14

Julio has 5 more dollars than Dan. Altogether, Julio and Dan have $19. Write and solve an equation to represent the situation. H

ow much money does each boy have?
Mathematics
1 answer:
cluponka [151]4 years ago
8 0

Answer:

Dan has $7 and Julio has $12

Step-by-step explanation:

Julio = x

Dan = y

They both have a total of $19:

x + y = 19

Julio has 5 more dollars than Dan:

(Therefore Dan would need 5 more dollars to catch up to what Julio has)

y + 5 = x

We now plug in one equation into the other and get:

y + (y+5) = 19

2y+5 = 19

2y = 14

y = 7

Plug in Dan's amount into the initial equation and we get:

7+5 = x

x =12

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2 years ago
What value of w makes the equation 3(-4W - 5) = -7(5 + w) true?
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3 0
3 years ago
Which of the following is equivalent to the expression below?
AfilCa [17]

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Solving like terms

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5 0
3 years ago
Read 2 more answers
Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16
IrinaK [193]

Answer:

Jogging 6th time.

Step-by-step explanation:

We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.

We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.

We know that an arithmetic sequence is in form a_n=a_1+(n-1)d, where,

a_n = nth term of sequence,

a_1 = 1st term of sequence,

n =  Number of terms in sequence,

d = Common difference.

Let us find common difference of our given sequence as:

\frac{3}{8}-\frac{3}{16}\Rightarrow \frac{6}{16}-\frac{3}{16}=\frac{3}{16}

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

1

Let us solve for n.

1

1

1\cdot \frac{16}{3}

5.333

n>5.333

We can also write next terms of our sequence as:

\frac{3}{16},\frac{6}{16}, \frac{9}{16},\frac{12}{16},\frac{15}{16},\frac{18}{16}

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.

7 0
3 years ago
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