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klemol [59]
3 years ago
13

Joe spent $4.36 for gasoline in driving 68 miles. How much would he spend in driving 85 miles?

Mathematics
2 answers:
Mariulka [41]3 years ago
5 0
($4.36/68miles)*85miles=$5.45
Wewaii [24]3 years ago
4 0

Answer:

$5.45

Step-by-step explanation:

68 miles -$4.36

85 miles -?

[85×4.36]68

5.45

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A line with a slope of 10 passes through the points ( -5, - 9) and ( - 4,a). What is the value of a?
Setler79 [48]
The slope is 10
(-5,-9)
(-4,-a)
a=-19
Because the slope is 10, that means when the input increases, the output will increases 10.
4 0
3 years ago
The graph for the equation y=-2x+1 is shown below. If another equation is graphed so that the system has no solution, which equa
12345 [234]
Y=-2x+3 (could be any y-int as long as it has the same slope)

This line is parallel to the original line so they never intersect

Therefore the answer is no solution
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3 years ago
I need help with number 8 please. if you don't mind can you show your work so I know how to do it? Thanks in advance! :)
Trava [24]
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7 0
3 years ago
Jada was using square stickers that were 3/4in long to decorate the spine of a photo album. The spine is 10 and 1/2in long. If s
nevsk [136]

Answer:

13

Step-by-step explanation:

Given:

  1. Square stickers that were 3/4 in long
  2. The spine is 10 and 1/2 in long

If she laid the stickers side by side without gaps or overlaps so the number of sticker to cover the length of the spine:

\frac{The length of the spine}{the length of the sticker}

10 : \frac{3}{4} ≈13  

She needs 13 stickers cover the length of the spine

7 0
3 years ago
Read 2 more answers
A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther
mariarad [96]
<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\

Therefore, on checking, we observe that,

a_{n}=a_{n-1}+(n-1)^{2}

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

<u>At, </u>

<u>n = 1</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0

which is true.

<u>At, </u>

<u>n = 2</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1

Which is also true.

<u>At, </u>

<u>n = 3</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5

Which is true.

<u>At, </u>

<u>n = 4</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

3 0
3 years ago
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