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Alenkinab [10]
3 years ago
5

Eghh I'm so bad at Algebra >.< Help? The length of a rectangle is 9.7 cm more than 4 times the width. If the perimeter of

the rectangle is 91.4 cm, what are its dimensions?
Or with this one? A rental car agency charges a flat fee of $110.00 plus $46.00 per day to rent a certain car. Another agency charges a fee of $70.00 plus $54.00 per day to rent the same car.
Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole day.
Mathematics
1 answer:
lina2011 [118]3 years ago
7 0
L = 4w + 9.7
2l + 2w = 91.4
2(4w + 9.7) + 2w = 91.4
8w + 19.4 + 2w = 91.4
10w = 72
w = 72/10 = 7.2 cm
l = 4(7.2) + 9.7 = 38.5

Dimension = 38.5 by 7.2


Let x be the number of days for which the costs are the same, then
110 + 46x = 70 + 54x
54x - 46x = 110 - 70
8x = 40
x = 5
Therefore, it will take 5 days for the cost to be the same.
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Step-by-step explanation:


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4 years ago
Line segment EF has a lenth if 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.
Elina [12.6K]

A) 5 units because it was moved not changed.

4 0
3 years ago
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
Mama L [17]

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Given:

7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.

Amelia:

7.2b + 6.5 - 7.2b > 4.8b – 8.1 - 7.2b

6.5 > -2.4b - 8.1

Correct

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

7.2b + 6.5 - 4.8b > 4.8b – 8.1 - 4.8b

2.4b + 6.5 > -8.1

Incorrect

Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6

7.2b + 6.5 - 6.5 > 4.8b – 8.1 - 6.5

7.2b > 4.8b - 14.6

Correct

Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.

7.2b + 6.5 + 8.1 > 4.8b – 8.1 + 8.1

7.2b + 14.6 > 4.8b

Correct

5 0
3 years ago
HELP WILL MARK BRAINLEIST
omeli [17]

Answer: k=3

Step-by-step explanation:

33/99 divide top and bottom by 11

33/99divided by 11/11

=3/9

7 0
4 years ago
Read 2 more answers
A top-loading washing machine has a cylindrical basket that rotates about a vertical axis. The basket of one such machine starts
damaskus [11]

Answer:

n_{tot}=44rev

Step-by-step explanation:

In order to solve this problem we can make use of the following formula:

\theta=(\frac{\omega_{f}+\omega_{0}}{2})t

where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.

Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:

n=(\frac{f_{f}+f_{0}}{2})t

where n represents the number of revolutions and f is the frequency at which the basket is turning.

The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:

n=(\frac{4rev/s+0}{2})(9s)=18rev

and now let's analyze the second stage, where it decelerates, so we get:

n=(\frac{0rev/s+4rev/s}{2})(13s)=26rev

So now that we know how many revolutions the cylindrical basket will take as it accelerates and as it decelerates we can add them to get:

n=18rev+26rev=44rev

So the basket will turn a total of 44 revolutions during this 22s interval.

3 0
3 years ago
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