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Vilka [71]
4 years ago
15

What is the explicit rule for the sequence? 12,6,0,−6, …

Mathematics
1 answer:
wolverine [178]4 years ago
7 0
Hello!

First you find the common difference in the sequence

6 - 12 = -6
0 - 6 = -6

The common difference is -6

We can now make the equation

-6(n - 1) + 12

we got the 12 because it is the first number in the sequence

Simplify

-6n + 6 + 12

Simplify

18 - 6n

The answer is B) an = 18 - 6n

Hope this helps!
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Buck rented a truck for $39.95 plus $0.32 per mile. Before returning the truck, he Filled the tank with gasoline, which cost $9.
wel

Answer:

Step-by-step explanation:

Let x represent the distance that the truck was driven.

Buck rented a truck for $39.95 plus $0.32 per mile. This means that the total cost of driving x miles with the truck would be

39.95 + 0.32x

Before returning the truck, he Filled the tank with gasoline, which cost $9.85. This means that the total amount that he spent is

39.95 + 0.32x + 9.85

If the total cost was $70.23, it means that

39.95 + 0.32x + 9.85 = 70.23

49.8 + 0.32x = 70.23

0.32x = 70.23 - 49.8 = 20.43

x = 20.43/0.32 = 63.8

Approximately 64 miles

5 0
3 years ago
1). 3+(10)+6 <br> 2). (-3)+3+12<br> 3). (-3)-6<br> 4). 3-(-2)<br> 5). 5-3-(-2)<br> 6). 7-(-6)-7
Alika [10]

Answer:

1) 19

2) 12

3)-9

4)5

5)4

6)6

6 0
3 years ago
Can someone please answer this question please answer it correctly and please show work please help me I need it
Serga [27]

Answer:

B

Step-by-step explanation:

|-4 + 1| = |-3| = 3

|-4 - 1| = |-5| = 5

The distance is 5, so the second equation should represent the problem.

5 0
4 years ago
Read 2 more answers
The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basket
Hoochie [10]

<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>

Answer:

<em>1300 children attended the basketball game</em>

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500           [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050            [2]

From [1]:

y = 1500 - x

Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x +  11250 - 7.50 = 6050

-4x = 6050 - 11250

Solving:

x = 1300

1300 children attended the basketball game

5 0
3 years ago
Click on the attachment &lt;3 answer, please and thank you (:​
natta225 [31]

Answer:

10

Step-by-step explanation:

x-7=?

x=17

17-7=10

7+10=17

17=17 Correct :)

5 0
3 years ago
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