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ivolga24 [154]
3 years ago
5

I REALLY NEED HELP!! PLEASE DO IT FAST!! 8,000÷(28x+4)−15=25

Mathematics
1 answer:
Ivenika [448]3 years ago
6 0

Answer:

x = 7

Step-by-step explanation:

Order of operations rules require that we do multiplication and division BEFORE addition and subtraction.

Let's start by simplifying the expression.  Adding 15 to both sides results in:

8,000÷(28x+4) = 40.

Multiplying both sides by (28x + 4) results in the simpler:

8000 = 40(28x + 4).

Dividing both sides by 40 results in:

200 = 28x + 4, or

196 = 28x

Solve for x by dividing both sides by 28:

x = 7

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Answer:

C

Step-by-step explanation:

If you think about it hard enough, and look at it real hard, you can see. Think of like a capital L. 7 tall and 7 wide. I'm not sure but thats what I think.

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if 1/4 of a gallon of paint is needed to paint 2/3 of a fence, how many gallons are needed to paint the entire fence? site:socra
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\bf \begin{array}{ccll} \stackrel{paint}{gallons}&fence\\ \cline{1-2} \\\frac{1}{4}&\frac{2}{3}\\\\ x&1 \end{array}\implies \cfrac{~~\frac{1}{4}~~}{x}=\cfrac{~~\frac{2}{3}~~}{1}\implies \cfrac{~~\frac{1}{4}~~}{\frac{x}{1}}=\cfrac{2}{3}\implies \cfrac{1}{4}\cdot \cfrac{1}{x}=\cfrac{2}{3} \\\\\\ \cfrac{1}{4x}=\cfrac{2}{3}\implies 3=8x\implies \cfrac{3}{8}=x

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3 years ago
Read 2 more answers
in Cranston taxis charge $4 plus $0.90 per mile for an airport pickup how far from the airport can Ralph travel for $17.50​
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14.4444 miles

Step-by-step explanation:

y=4+0.9x

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3 years ago
Draw a diagram to show that the square root of 121 is 11.​
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1 year ago
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
2 years ago
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