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Yuliya22 [10]
2 years ago
7

Please help me! I'd really appreciate it!

Mathematics
1 answer:
Vladimir79 [104]2 years ago
6 0

Answer:

x= -1

-46

Step-by-step explanation:

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Dog food costs 9$ per bag and cat food costs 8$ per bag. if billy spent 89$ and purchased 6 bags of dog food, how many bags of c
REY [17]
6 bags of dog food × $9 = 54
$89 total - $54 spent on dog food = $35 spent on cat food

$35 / $8 = 4.375, but you can't have decimals for cat food bags so round down.

= 4 bags of cat food
3 0
3 years ago
-10/5+2(7-9)^2
Oksana_A [137]
Answer: -4

Reasoning: so first you need to subtract the 7 from the 9 to get -2. Then you square it to get 4 because a negative 2 times -2 is 4. Then you multiply the 4 by the 2 to get 8. You can simplify the -10/5 to -1/2 and multiply that by the 8 to get -8/2 which simplified out to -4.


I hope that helps.
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to 60x^20y^24/30x^10y^12 ?
olganol [36]

Answer:

2x^(10)y^(12)

Hope This Helps!   Have A Nice Day!!

8 0
3 years ago
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4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t
Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

a_{n}=a_{1}r^{n-1}

a_{1} = the first term of the series

r = the geometric ratio

a_{1} would represent the height at which the ball is first dropped. Therefore:

a_{1} = k

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

r=\frac{3}{4}

Our general term would be:

a_{n}=a_{1}r^{n-1}

a_{n}=k(\frac{3}{4}) ^{n-1}

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

k represents the initial height:

k = 235\ ft

n represents the number of times the ball bounces:

n = 6

Plugging this back into our general term of the geometric series:

a_{n}=k(\frac{3}{4}) ^{n-1}

a_{n}=235(\frac{3}{4}) ^{6-1}

a_{n}=235(\frac{3}{4}) ^{5}

a_{n}=55.8\ ft

a_{n} represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. ​

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

S_{n}=\frac{a_{1}(1-r^{n})}{1-r}

We already know these variables:

a_{1}= k = 235\ ft

r=\frac{3}{4}

n = 12

Therefore:

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }

S_{n}=(4)(235)(1-\frac{3}{4} ^{12})

S_{n}=910.22\ ft

8 0
3 years ago
5-7:
garri49 [273]
The 3 panes would cost $7.65.
6 0
3 years ago
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