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

Answers

Answer 1

Answer:

97

Step-by-step explanation:

Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.

5x + 17 = 8x - 31

Now simply just solve for "x"

5x + 17 = 8x - 31

5x + 48 = 8x

48 = 3x

48/3 = 3x/3

16 = x

Once you get x, plug it into the equation "RS = 5x + 17"

5(16) + 17

80 + 17

97, which is our final answer.


Related Questions

Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?

Answers

I believe the answer would be 75+25= so $100

Evaluate-2 xy, if x= - 4 and y= 1.

Answers

Answer:

8

Step-by-step explanation:

-2 xy

Let x = -4 and y = 1

-2 (-4)*(1)

8(1)

8

Câu hỏi
6 : (x -1 )
-----------------

Answers

Answer:

i don't

Step-by-step explanation:

know spanish

Find f(2) if f(x) = (x + 1)^2

Answers

Answer:

9

Step-by-step explanation:

Plug in 2 for x

You should get f(2)=(2+1)^2

Add 2+1 inside the parenthesis to get 3

Finally do (3)^2 to get 9

Quickly please help

Answers

Answer:

6

Step-by-step explanation:

f(x)=2x^3-5x when x=2. So f(2)=6

What is the surface area of the cylinder with height 5 ft and radius 2 ft? Round your
answer to the nearest thousandth.

Answers

Answer:

87.965

Step-by-step explanation:

surface area of a cylinder,

2πr²+2πrh (where r = radius, h = height)

given, h = 5, r = 2

so,

2πr²+2πrh

= 2π×2²+2π×2×5

= 8π+20π

= 28π

= 87.9645943..

= 87.965 (rounded to the nearest thousand)

please help!! will give brainliest

Answers

Answer: 320

Step-by-step explanation:

Step 1) Identify Number of options for each set

For the entree, you have 4 options, for the sides, you have 4 options, and for the drink you have 5

Step 2) Find all possible outcomes

4 options for the entree × 4 options for the first side × 4 options for the second side × 5 options for the drink

Step 3) Solve

4 × 4 × 4 × 5 = 320

Solve for x in the diagram below.

Answers

Answer:

x = 45

Step-by-step explanation:

180 = (2x + 45) + x

135 = 2x + x

135/3 = 3x/3

45 = x

Answer:

x = 45

Step-by-step explanation:

The 2 given angles are adjacent snd sum to 180° , then

2x + 45 + x = 180 , that is

3x + 45 = 180 ( subtract 45 from both sides )

3x = 135 ( divide both sides by 3 )

x = 45

12. solve for a.
help please

Answers

Answer:

okay so given :-

R = x(A+B)

now open bracket =>

R = Ax + Bx

shifting Bx

R - Bx = Ax

so now shift x to lhs and finally we get

A = (R - Bx)/x option d is correct

please brainliest <3

ASAP!! Photo attached

Answers

Answer:

FG = 120 cm

Step-by-step explanation:

The explanation is in the picture!

Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?

Answers

Answer:

540

Step-by-step explanation:

546-56=490

490+17+30=537

537+3=540

100 points for you if you help me

Answers

Answer:

see below

Step-by-step explanation:

It is given that m<A +m<B = m<B + m<C.  We can subtract angle B from each side using the subtraction property of equality.  That leaves m<A = m<C  We can use the symmetric property so that m<C = m<A

Answer:

[tex]thank \: you[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE QUESTION!!

Answers

Answer:

(base x height x length)/2 = volume

6x8x8 = 384/2 = 192in^3

hope that answers your question

9. Raul's teacher purchases two rectangular paintings. The dimensions of the first painting are proportional to the
dimensions of the second painting. The dimensions of the first painting are 8 inches by 20 inches. One of the
dimensions of the second painting is 24 inches. Which length, in inches, could be the unknown dimension of the
second painting?

(A) 4
(B)6 2/4
(C)9 3/5
(D)12

Answers

Answer:

(c) 9 3/5

Step-by-step explanation:

This is a ratio question. We can work with the dimensions as fractions and solve through cross-multiplication.

Dimensions of the first painting:

8/20 in.

Possible dimensions of the second painting:

24/x in.

x/24 in.

There are two options, because the given 24 inches may be either a length or width of the painting.

Now, we can use cross-multiplication to try to find x in both scenarios.

Scenario #1

8/20=24/x

8x=480

x=60 in.

60 in. is not an answer. Let's try the other scenario.

Scenario #2

8/20=x/24

192=20x

9.6 in.=x

9.6 can also be written as 9 3/5, which is option C.

STAT question please help me TT

Answers

Answer:

C

because if you arrange orderly ie in an ascending order or a descending order,the middle number is the median and median means average

6cos(20πt-π)+6√3cos(20πt-π\2)

Answers

Answer:

Answer is -6t

Step-by-step explanation:

[tex]{ \tt{ = (6 \cos(20\pi t) \cos(\pi) + 6\sin(20\pi t) \sin(\pi) ) + 6 \sqrt{3} ( \cos(20\pi t) \cos( \frac{\pi}{2} ) + \sin(20\pi t) \sin( \frac{\pi}{2} )) }} \\ = { \tt{ (- 6t + 0) + (0 + 0)}} \\ = { \tt{ - 6t}}[/tex]

Note that π is 180°

Explain how to find the middle quartile of a box-and-whisker plot.

Answers

Step-by-step explanation: The middle quartile or second quartile as I like to call it is the median of the entire data set. Remember that the median is the middle number when the data is written from least to greatest.

in june , john withdrew 1/5 of the money in his savings account. in july he withdrew 1/3 of what remained. in august, he withdrew 1/4 of the remaining balance.if he made no other transactions and ended up with $480 in her account, what did he start with?

Answers

Answer

28,800$

Step-by-step explanation:

480 x 4 = 1920 x 3 = 5760 x 5 = 28800

The water level was - 4
feet before rainy season.
After rainy season the
water level was 4 feet.
By how much did the
water level change?
Any help is appreciated!!!

Answers

5 feet, round back and forth to get your desired answers

A sum of Rs 600 amount to Rs 735 ins years at a certain rate of interest. If the rate of interest is increased by 2%. what will be the amount? ​

Answers

Answer:

the amount will 26.7 ......hope this may help you

(a/b)^x-1 = (b/a)^x-3​

Answers

Answer:

x = 2

Step-by-step explanation:

anyone know if its a b c or d?

Answers

Answer:The right answer is B

Step-by-step explanation:

If it's negative then it should be on the other side with one side down on the graph and one side on the left.(hope this helped you) :)

A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price of the bicycle​

Answers

[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}[/tex]

We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

[tex] \large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}[/tex]

[tex] \large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}[/tex]

[tex] \large{ \tt{⇢ \: 113 \: SP = 406800}}[/tex]

[tex] \large{ \tt{⇢ \: SP = \frac{406800}{113} }}[/tex]

[tex] \large{ \tt{⇢ \: SP = 3600}}[/tex]

Hence , SP = Rs 3600

[tex] \large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}[/tex]

Let Marked Price [ MP ] be x.

[tex] \large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}[/tex]

[tex] \large{ \tt{⇾ \: 90x = 360000}}[/tex]

[tex] \large{ \tt{⇾ \: x = \frac{360000}{90} }}[/tex]

[tex] \large{ \tt{⇾ \: x = Rs \: 4000}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}[/tex]

Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)

One number is three times another number. If the sum of the numbers is 36, determine the two numbers.

Answers

Step-by-step explanation:

A=3B

A+B=36

3B+B=36

4B=36

B=36/4

Step-by-step explanation:

let x represent the smaller number

3x is the second number

x+3x=36

4x=36

4x/4=36/4

x=9

the second number is 3(9)

=27

15. Determine the y-intercept for the following equation
4x + 2y = -12

Answers

Answer:

Step-by-step explanation:

Subtract 4x from both sides

4x-4x + 2y = -4x - 12

2y = - 4x - 12            

Divide by 2

2y/2 = -4x/2 - 12/2

y = -2x - 6

The y intercept happens when x = 0

y intercept is - 6

or 0,-6

Answer:

y intercept = -6

x intercept = -3

Step-by-step explanation:

What is the volume of this figure?

Answers

Answer:

88 ft^3

Step-by-step explanation:

First find the volume of the rectangular prism on the left

V = l*w*h = 2*(4)*8 = 2*4*8= 64 ft^3

Then find the volume of the rectangular prism on the bottom

The base is not 5 but 5-2 since we used 2 on the left side

V = l*w*h = (5-2) *4*2 = 3*4*2 = 24 ft^3

Add them together

64+24=88

help me please!! first write the subtraction with a common denominator then subtract

Answers

Answer:

hope it helps you

Step-by-step explanation:

pls kindly mark it brainliest answer

Answer:

[tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac4{15}[/tex]

Step-by-step explanation:

3/5 - 1/3

Multiply 3/5 by 3/3 to keep the fraction equivalent and have a common denominator

3/5 times 3/3 = 9/15

Multiply 1/3 by 5/5 to keep the fraction equivalent and have a common denominator

1/3 times 5/5 = 5/15

9 / 15 - 5 / 15 = 4/15

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Please help, need to find f^-1 (x)

Answers

The inverse function [tex]f^{-1}(x)[/tex] is such that

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Plugging [tex]f^{-1}(x)[/tex] into [tex]f(x)[/tex] gives us

[tex]f\left(f^{-1}(x)\right) = \dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x[/tex]

Solve for [tex]f^{-1}(x)[/tex] :

[tex]\dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x \\\\ 3f^{-1}(x)+3=x\left(5f^{-1}(x)+6\right) \\\\ 3f^{-1}(x) + 3 = 5x f^{-1}(x)+6x \\\\ 5xf^{-1}(x)-3f^{-1}(x) = 3 - 6x \\\\ (5x-3)f^{-1}(x)=3-6x \\\\ \boxed{f^{-1}(x)=\dfrac{3-6x}{5x-3}}[/tex]

The temperature falls from 0 degrees to - 123 degrees in 3 hours. Which expression finds the change in
temperature per hour? ?
7 49
024
-
7 49
0 -24
49 7
0 -1
0
49 7
4 -

Answers

Answer:

D

Step-by-step explanation:

Change=Temperature/Time

Change=(-49/4)/(7/2)

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

O A. 708.01

Step-by-step explanation:

Volume of a cone = 3.14 r^2 h/3

Volume of a cone = 3.14 7^2 14/3

Volume of a cone = 3.14 (49) 14/3

Volume of a cone = 3.14 (686)/3

Volume of a cone = 2154/3

Volume of a cone = 718.01
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