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mario62 [17]
2 years ago
9

If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find the value of x and the measure of RS.

Mathematics
2 answers:
Taya2010 [7]2 years ago
7 0

5x+17=8x-31

-5x to both sides

17=3x-31

+31 to both sides

48=3x

48 divided by 3

x=16

RS=5(16)+17

RS=97

Leto [7]2 years ago
4 0

Answer: 13x-14

Step-by-step explanation:

5x+17+8x-31

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Can you simplify before multiplying 14×25/27​
castortr0y [4]

Answer:

No.

Step-by-step explanation:

You can not simplify this expression before multiplying it, because no whole numbers go into both 14 and 27, and also no whole numbers go into both, 25 and 27. This is the correct answer to this question.

Hope this helps!!!

Kyle.

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PLS HELP, 50 POINTS!!!
Sedaia [141]

Answer:

Part A: From 0 to 2 seconds, the height of the water balloon increases from 60 to 75 feet, therefore the water balloon's height is increasing during the interval [0,2]

Part B: From 2 to 4 seconds, the height of the water balloon stays the same at 75 feet, therefore the water balloon's height is the same during the interval [2,4] From 10 to 12 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [10,12] From 12 to 14 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [12,14] 

Part C: The interval, [4,6] of the domain is when the water ballon's height decreases the fastest. The interval [4,6] decreases by 35 feet. The two other intervals that decrease are [6,8] and [8,10] which both have the same slope. They decrease by 20 feet. Therefore, this helps us conclude that the interval [4,6] decreases the fastest because 35 feet is a more significant decrease than 20 feet. 

Part D: I predict that the height of the water balloon at 16 seconds is 0 feet. This is because at 10-14 seconds, the water balloon's height is 0 feet. In read-world situations, if the water balloon is on the ground which is 0 feet, it stays on the ground due to gravity. 

Step-by-step explanation:

I hope this helps! I also do not know if it is all correct but I did research and everything so hopefully it is correct! Good luck!

8 0
2 years ago
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Winston earns $140.00 by selling 56 hot dogs at the concession stand at school. Using the same rate for
Free_Kalibri [48]

Answer:

140/56= 2,5$ every hot dog

175/2,5=70 hot dogs

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Step-by-step explanation:

7 0
2 years ago
A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that on
Flura [38]

Answer:

28/55

Step-by-step explanation:

The probability of taking a red bead first and a white bead second is:

P(red, white) = (7/11) (4/10)

P(red, white) = 14/55

The probability of taking a white bead first and a red bead second is:

P(white, red) = (4/11) (7/10)

P(white, red) = 14/55

So the probability that one bead of each color is taken is:

P = P(red, white) or P(white, red)

P = 14/55 + 14/55

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4 0
2 years ago
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What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.
slega [8]

Answer:

The approximate length of arc s is 14.1 inches

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the circumference of the circle

The formula to calculate the circumference is equal to

C=2\pi r

we have

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substitute

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step 2

Find the approximate length of arc s

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

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\frac{37.68}{360}=\frac{x}{135}\\\\x=37.68(135)/360\\\\x= 14.1\ in

4 0
2 years ago
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