to find the value of r, Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). How could this help Stephen reason the value of r? Explain your reasoning.

PLZ HELP ASAP

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

We are informed that Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). This is quite thoughtful of Stephen and it's an easier way to solve the question.

In this case, 3 is a common factor to 3r, 18 and 27. Therefore, we will then have: 3(r - 6) = 3(9).

Since 3 is a common base to both, we are more concerned with the values inside the brackets. This will be:

r-6 = 9

r = 9 + 6

r = 15

Check: 3r - 18

3(15) - 18 = 45 - 18 = 27


Related Questions

Coniya
The owner of Wayne's Auto Repair charges a
customer $285 for parts plus an hourly labor cost.
The customer paid for 2.5 h of labor and paid a total of
$490.
What is the hourly labor cost?
O $80.00 per hour
$82.00 per hour
0 $86.00 per hour
O $89.00 per hour

Answers

Answer:

$82 per hour

Step-by-step explanation:

Total cost to customer: $490

Cost for parts: $285

$490-$285 = $205

There is a total labor charge of $205.

The problem tells us that the customer paid for 2.5 hours of labor.

$205/2.5 hours = $82.00 per hour.

Consider the line 2x-3y=-3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answers

Perpendicular slope=-3/2
Parallel slope=2/3

pls plz plz i need the answers help me

Answers

Answer:

24 units squared

Step-by-step explanation:

Answer:

24 square units

Step-by-step explanation:

Hope that helps and good luck on your Quizizz!

To test the effectiveness of a drug proposed to relieve symptoms of depression, psychiatrists recruited volunteers for clinical tests. All of the volunteers were diagnosed with symptoms of depression. The psychiatrists provided the drug to first group and a sugar pill to the second group. In the description of the above situation, determine the control group.

Answers

Answer:

The control group is the group that takes the sugar pill

Step-by-step explanation:

In drug testing, to determine the efficacy of a drug, different groups of experimental subjects are recruited, one group is given the drug to be tested (treatment group) while another group is given a placebo.

A placebo is a fake version of the drug to be tested that does not have any therapeutic effect on the test subjects that receive it. In this case, the control group receives the placebo which is the sugar pill. They serve as the baseline of measurement when the outcome of the effect of the drug testing is done. The groups that received the actual drugs are compared against the groups that received the hoax treatment, and any change occuring  in the test subjects become the changes occuring as a result of the test drug used, when the observations on the control group has been ruled out.

y + 51 = 99, what is y?

Answers

Answer:

y + 51=99

replace the y with 99

then it becomes 99 - 51

y=48



In addition to the information given in the drawing, which statement would be sufficient to prove

that STW-XYZ?

Number 5

Answers

Answer:

[tex]SW= 15[/tex] and [tex]TW= 24[/tex]

Step-by-step explanation:

Given

See attachment for the triangles

Required

Which additional statement proves the similarity of both triangles

From the attachment:

[tex]ST = 27\\XY = 9\\YZ = 8\\XZ = 5[/tex]  

The similar sides of both triangles are: ST and XY

So:

[tex]Ratio = ST : XY[/tex]

[tex]Ratio = 27 : 9[/tex]

Divide by 9

[tex]Ratio = 3 : 1[/tex]

Another similar sides are: TW and YZ

So:

[tex]TW : YZ = TW : 8[/tex]

Equate both ratios:

[tex]TW : 8 = 3 : 1[/tex]

Represent as fraction

[tex]\frac{TW }{ 8 }= \frac{3 }{ 1}[/tex]

[tex]\frac{TW }{ 8 }= 3[/tex]

Multiply both sides by 8

[tex]8 * \frac{TW }{ 8 }= 3*8[/tex]

[tex]TW= 3*8[/tex]

[tex]TW= 24[/tex]

Another similar sides are: SW and XZ

So:

[tex]SW:XZ = SW:5[/tex]

Equate both ratios:

[tex]SW:5 = 3:1[/tex]

Represent as fraction

[tex]\frac{SW}{5} = \frac{3}{1}[/tex]

[tex]\frac{SW}{5} = 3[/tex]

Multiply both sides by 5

[tex]5*\frac{SW}{5} = 3*5[/tex]

[tex]SW = 3*5[/tex]

[tex]SW = 15[/tex]

So, the statement that proves the similarity of the triangles is:

[tex]SW= 15[/tex] and [tex]TW= 24[/tex]

Item 9
John has $50 in his bank account. He gets his usual allowance of $20 and mows two lawns,eaming $10 each. He puts that money in the bank
Then John spends $45 on a video game
How much money does he have after that purchase? Use the number line to help you find the answer

Answers

Answer:

$45

Step-by-step explanation:

bank account=$50

Allowance=$20

mows two lawns at $10 each=$20

$50+$20+$20=

money in bank=$90

video game=$45

$90-$45=$45

               10  20 30  40 45

·___ _ ·_∩_·∩__∩·_∩_∩_·___·_ ·__·___·___·___·___·__

$100  90  80 70  60  50 45  40   30   20   10     0                                                  

Pls help I’ll give you branliestttttt

Answers

sorry i’m not sure but submit this question again and change your subject from math to another subject so ppl who are good with answering questions like this, answer xx

No answer text provided.
No answer text provided.
HA < CH
HM > CH
AM = CK
MH < HC

Answers

Answer:

HM > CH

Step-by-step explanation:

You are correct, I didn't see the option HM > CH, which is correct, since the angle 90 degrees is larger than the angle 73, and then the sides opposite to them must follow suit.

Therefore, the correct answer is: HM > CH

The true statement from the triangles is (b) HM > CH

How to determine which must be true

From the question, we have the following parameters that can be used in our computation:

The figures

Next, we have

Angles at corresponding points = 90 degrees and 73 degrees

Since the angle 90 degrees is larger than the angle 73 degrees, and then the sides opposite to them must also have the same relationship

Using the above as a guide, we have the following:

The true statement is (b) HM > CH

Read more about triangles at

https://brainly.com/question/32215211


#SPJ6

The ages of the 11 players of a soccer team on the soccer field are shown.
21, 32, 22, 28, 26, 30, 29, 24, 22, 24, 26
What would cause the median age of the players on the field to decrease?
A. replace a 24-year-old player with a 22-year-old player
B. replace a 26-year-old player with a 24-year-old player
C. replace the 21-year-old player with a 20-year-old player
D. replace the 30-year-old player with a 26-year-old player

Answers

Answer:

A

Step-by-step explanation:

Sarah makes 1/2 pound of caramel popcorn and puts it in a bags that hold 1/8 of a pound which equation can used to find how many bags she can fill

Answers

Answer:

1/2 ÷ 1/8 =b

Step-by-step explanation:

9+3+8+100+12+100+12+34+28+​

Answers

Answer:

306

Step-by-step explanation:

LOL

Answer:

306

Step-by-step explanation:

so 9+3=12+8+100=108+12=120+34=154+28=182 then u add it all together

The graph of the function f is shown. f(5) =

Answers

9514 1404 393

Answer:

  f(5) = 0

Step-by-step explanation:

At x=5, the graph is on the x-axis, so the function value is 0 at that point.

  f(5) = 0

Math will give brainliest

Answers

Answer: 312

Step-by-step explanation: i just times it

Answer:

Mutiply 24 and 13

24×13=312

312cm3

Maria has 6 pizza slices and wants to split them among her and 8 other friends. If each person gets the same amount, how much of the pizza slice will each person get?

Answers

Answer:

1 if u cut  all of them in half

Step-by-step explanation:

1 if you cut them in half ok

Plz help! I don’t know how to do these!

Answers

Step-by-step explanation: x = 120 x= 65x= 24

4. x= 40

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

☺️

4 3
10 x 2.43 = 10x2++
10 100
100)

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

hope i can help bbg / bbb :

) !!!

please answer this quick. will give brainliest

Answers

Answer:

the time Ari spent to walk is

[tex]1 \frac{3}{4} \div 1 \frac{1}{4} = 1.4(h)[/tex]

the time Beth spent to walk is

[tex]1 \frac{1}{2} \div 1 \frac{1}{8} = 1.(3)(h)[/tex]

the time Cathy spent to walk is 1h21' = 1.35(h)

so the time Ari spent > Cathy > Beth

=> list: Beth, Cathy, Ari

Si un jarrón tíene 80 cm de altura ¿ cuantos milímetros mida​

Answers

Si tiene 80 cm de altura mier 800 milímetros de altura

An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes. A junior high school class ran 1 mile in an average of 9 minutes, with a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes. A high school class ran 1 mile in an average of 7 minutes with a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.

Required:
a. Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he?
b. Who is the fastest runner with respect to his or her class? Explain why.

Answers

Answer:

Step-by-step explanation:

a.

Kenji ran faster than the class average by 0.25 of a standard deviation while Nedda was slower than the average in her class.

b.

Rachel: average - 1st deviation

Kenji: average - 0.25 standard deviation

Nedda: slower than average so it's definitely not her.

Since Rachel is faster than the average and differs by the most standard deviations compared with Kenji,

So, Rachel is the faster one.

Neeed help please...

Answers

Answer: A

Step-by-step explanation:

Select ALL the values that make the inequality true: n>-6
А. -8
B.-5
C.6
D-1

Answers

Answer:

The answer to the question is A.-5 D.-1

How is tha main carecter of the rear ​

Answers

U spelt carecter wrong its character

Sum of the second and third consecutive odd integers, simplified

Answers

If you know how to solve word problems involving the sum of consecutive even integers, you should be able to easily solve word problems that involve the sum of consecutive odd integers. The key is to have a good grasp of what odd integers are and how consecutive odd integers can be represented.

Odd Integers

If you recall, an even integer is always
2
2 times a number. Thus, the general form of an even number is
n
=
2
k
n=2k, where
k k is an integer.
If I am incorrect I am so sorry.:(

find the value of x and round

Answers

Answer:

X=80.4

Step-by-step explanation:

Lol

Step-by-step explanation:

x= 78 approximately

hope this is correct

Shani has 2 chocolate bas. One has 60% cacao and the other 92% calco
What mass of each bar must she mix to obtain 400g of chocolate
with 72% cacao

Answers

Answer:

250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

Step-by-step explanation:

Given that Shani has 2 chocolate bars, one that had 60% cocoa and the other that had 92% cocoa, to determine what mass of each bar must she mix to obtain 400g of chocolate with 72% cocoa, the following calculation must be performed:

100 x 0.6 + 0 x 0.92 = 60

90 x 0.6 + 10 x 0.92 = 63.2

80 x 0.6 + 20 x 0.92 = 66.4

70 x 0.6 + 30 x 0.92 = 69.6

65 x 0.6 + 35 x 0.92 = 71.2

63 x 0.6 + 37 x 0.92 = 71.84

62.5 x 0.6 + 37.5 x 0.92 = 72

400 x 0.625 = 250

Thus, 250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

Solve for the indicated variable
for x: d=ax+bx

Answers

Answer:

d/ ( a+b) = x

Step-by-step explanation:

d=ax+bx

Factor out x

d = x( a+b)

Divide each side by (a+b)

d/ ( a+b) = x (a+b)/ (a+b)

d/ ( a+b) = x

hi everyone i know all the ansers but i wanna help people too 9x8 2x12

Answers

First answer is 72 and second is 24

Need help can someone plz help me

Answers

Answer:

16.67%

Step-by-step explanation:

part: 400

percent: x

whole: 2,400

400=x(2,400)

divide both sides by 2,400 to get .1666

.1666=x

move the decimal inwards two times to make it a percentage, and round up the last didget

16.67%

Question 18 of 25 Which of the following statements are not true regarding functions? Check all that apply. O A. A function is a relation in which each value of the input variable is paired with at least one value of the output variable. B. A sequence is a function whose domain is the set of natural numbers. I C. The vertical line test may be used to determine whether a function is one-to-one. OD. The horizontal line test may be used to determine whether a function is one-to-one.​

Answers

the answer is I C and OD. I hope this helps

the answer is OCD and i don’t unfollow me
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