Use the number line to answer the question below:
<—A——————-B————C—->
If AB = 7x - 24 and BC = 6x - 2, what is the value of AC?
a. 13x - 22
C. 13x - 26
b. 33
d. 46

Answers

Answer 1
Answer:   13x - 26

Work Shown:

AC = AB + BC

AC = (7x-24) + (6x - 2)

AC = (7x+6x) + (-24-2)

AC = 13x - 26

This works because segment AC is split up into two parts AB and BC which don't overlap. Refer to the segment addition postulate.


Related Questions

If it takes you 2 1/2 hours to assemble one unit, how many units will you complete in 15 hours? (Change 2 1/2 to improper fraction first)

Answers

Answer:37.5

Step-by-step explanation:

2 1/2 as an improper fraction is 5/2

If i'm wrong tell me please i hope this helped you

Does this graph represent a function? Why or why not?
Ay
10
8
8+
2+
1
-10-8-64
2
+ c
240
-
ON
10
4
-8-
-8-
-10
O A. No, because it fails the vertical line test.
O B. Yes, because it passes the vertical line test.
O C. No, because it is not a straight line.
O D. Yes, because it passes the horizontal line test.

Answers

The answer would e number B.

help on math review edu

Answers

Answer:

Answer is A

Step-by-step explanation:

Subtract 47 from both sides to get 0

3x² - 18x - 42 = 0

Use Quadratic formula to get

[tex]3+\sqrt{23} \\3-\sqrt{23}[/tex]

Answer:

Step-by-step explanation:

Octavia is making cotton candy. She uses 17.5 cups of sugar to make 5 bags of cotton candy. At this rate, how many cups of sugar are used to make 1 bag of cotton candy?

Answers

Answer:

3.5 cups of sugar per bag.

Step-by-step explanation:

17.5/5

3.5 cups of sugar are used to make 1 bag of cotton candy

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For 5 bags of candy = 17.5 cups of sugar needed

and, For 1 bags of candy

=17.5/ 5

=3.5 cups of sugar needed

hence, 3.5 cups of sugar are used to make 1 bag of cotton candy

Learn more about unitary method here:

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PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

(x-1) (x-4) is the answer

A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories. Determine how many calories 14 brownies would have. Round to the nearest calorie

Answers

14 brownies would have about 233.0 calories

The number of calories in 14 brownies is 233 calories.

The first step is to determine the average calorie in 1 brownie.

Average calorie = 50 calories / 3 = 16.667 calories

In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.

Total calories = 16.67 x 14 = 233 calories

A similar question was answered here: https://brainly.com/question/15420908

At a concert the ratio of adults to children is 4:5. There are 720 children in a concert how many adults are there?

BRAINLIEST QUEATION !!

Answers

Answer:

576 adults

Step-by-step explanation:

The 5 part of the ratio relates to 720 children, then

720 ÷ 5 = 144 ← value of 1 part of the ratio , then

4 parts = 4 × 144 = 576 ← number of adults

Answer:

576

Step-by-step explanation:

Adults : Children

      4  :  5

     x   :  720

Let the number of adults be x.

Use cross multiplication.

  [tex]4 : 5\\ x : 720\\[/tex]

[tex]4 *720=5*x[/tex]

[tex]\frac{4*720}{5} =\frac{5x}{5}[/tex]

4 × 144  = x

576 = x

Hope this helps you.

Let me know if you have any other questions :-)

Type the correct answer in each box

The point on the number line shows the opposite of ____, or the opposite of the opposite _____.

Answers

If your answers are supposed to be numbers then it'd be 2.5 and -2.5

Helps me please help help me

Answers

Answer:

(2, -6)

Step-by-step explanation:

1. The rule for reflecting a point across the y-axis is (x, y) -> (-x, y)

This means that when reflecting across the y-axis, the x-coordinate changes signs.[tex](-(-2),-6)[/tex] [tex](2,-6)[/tex]

Therefore, the ordered pair that describes the location of C' is (2, -6).

Answer:

(2, -6)

Step-by-step explanation:

Subtract and simplify. 12 3\8 − 9 1\8 =

Answers

Answer:

[tex]3\dfrac{1}{4} \ \ or \ \ 3,25[/tex]

Step-by-step explanation:

[tex]\displaystyle12 \frac{3}{8} -9\frac{1}{8} =12-9+\frac{3}{8} -\frac{1}{8} =3+\frac{2}{8} =3\frac{1}{4} \ \ or \ \ 3,25[/tex]

1. The following sets of data shows the mean marks of 43 interviewees from a certain job interview that was conducted by a HR Consulting Firm in Mombasa: 23, 45, 79, 15, 47, 64, 33, 26, 34, 46, 31, 29, 49, 25, 45, 43, 39, 45, 22, 26, 28, 36, 42 Using the concept of sampling distribution, what sample size will give at least a 0.95 probability that the sample mean is greater than $8 of the population mean? ​

Answers

Using the Central Limit Theorem, it is found that a sample size of 13 is needed.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For this problem, using a calculator:

The mean is [tex]\mu = 37.9[/tex]The standard deviation is [tex]\sigma = 14.07[/tex]

The sample size needed is n when [tex]s = 4[/tex], as by the Empirical Rule, 95% of the measures are within 2 standard errors of the mean, hence [tex]2s = 8 \rightarrow s = 4[/tex]

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

[tex]4 = \frac{14.07}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 14.07[/tex]

[tex]\sqrt{n} = \frac{14.07}{4}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{14.07}{4}\right)^2[/tex]

[tex]n = 12.37[/tex]

Rounding up, a sample size of 13 is needed.

A similar problem is given at https://brainly.com/question/24663213

use a calculator to find the square for 7.6​

Answers

Answer:

Using a calcuator, [tex]7.6^{2} =57.76[/tex]

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Shows me 57.76 well....

Hope it helps!

Brainliest pls!

Follow me! ♧


Steve drives at a constant speed of 59.3 mph. How far should he expect to drive in 7/8 hr?

Answers

Answer:

51.9 miles

Step-by-step explanation:

distance  = speed * time

d = 59.3 * 7/8

d = 51.8875 miles

rounded

51.9 miles

Which expressions are equivalent to (13x+x−53x)−(−43x+2) ?

Answers

Answer:

4x+2

Step-by-step explanation:

(13x+x−53x)−(−43x+2)

Group all the same variables on each side.

(-39x)-(-43x+2)

-39x+43x+2

4x+2

Hope this helps :)

Answer:   x-2   &    -2-x+2x

Step-by-step explanation:

Simplify the following expression
3x + 2(x +6) -4 -2x

A. 3x + 2
B. 7x + 8
C. 3x + 8
D.7x + 10

Answers

Answer:

C

Step-by-step explanation:

3x+2(x+6)-4-2x.

First, we do the parenthesis.

This gives us: 3x+2x+12-4-2x.

Then, we reorder so like terms are together.

This gives us: 3x+2x-2x+12-4.

Then, we combine like terms.

This gives us: 3x+8, which is C.


Select the correct answer
Consider the given solids with the dimensions shown. Which solids are similar?
Aonly figure 1 and figure 2
B.only figure 2 and figure 3
c.only figure 1 and figure 3
D. all three figures
E none of the figures

Answers

only figure 1 and figure 3 are similar.

What is similarity?

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

In figure 1, two of the sides (16 and 9 ) are perfect square and third is not.

If we take the ratio of three side as

16:9:12

(4)²:(3)²:(2√3)²

Similarly, In figure 3 two of the sides (64 and 36 ) are perfect square and third is not.

If we take the ratio of three side as

64:36:48

(8)²:(6)²:(4√3)²

Comparing the ratios of both figure, the figure 3  has twice the measurement of figure 1 sides.

Hence, only figure 1 and 3 are similar.

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50 pencils cost £3. How much would 8 pencils
cost
What is the answer

Answers

50/3 = 8/x

X = 12/25 or 0.48

Answer:

0.48£

Step-by-step explanation:

(3x8)/50=0.48£

Round to 2 decimal places 0.966

Answers

Answer:

Step-by-step explanation:

round to 2 places 0.966: 1.00

A dealership is allowing residents to test drive the following vehicles: 2 sports cars, 3 vans, and 3 trucks. If you select a random car to test drive, what are the odds it is not a sports car? Write your answer in the form a:b as a fully reduced ratio.

Answers

It would be 2:8- 1:4

Answer:3:1

Step-by-step explanation:

There are 2 sports cars out of a total of 8 total cars, so there are 2 favorable outcomes, and 8−2=6 unfavorable outcomes.

The odds against choosing a sports car are 6:2.  

Both numbers are divisible by 2, so this ratio can be simplified to 3:1.

what is perpendicular lines​

Answers

Perpendicular lines are lines, segments or rays that intersect to form right angles. The symbol ⊥ means is perpendicular to . In the figure, PR⊥QS. The right angle symbol in the figure indicates that the lines are perpendicular. PLS MARK BRAINLIEST :D

After watching some fish 55 feet below the surface of the water, a scuba diver went up 25 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface.︎︎︎︎︎︎︎ ︎︎︎︎​

It might be A
I really dont know lol

Answers

Answer:

The answer is C.

Step-by-step explanation:

Consider 5 1/2 as 5.5 to make it less confusing. Now, subtract 8 from 5.5.

5.5 - 8

=> -2.5

Now, let's turn -2.5 back in fraction form.

=> -2 1/2

Therefore, C is the answer

When bisecting segments and angles, which step is the same?

Answers

Draw a ray with one endpoint

Help help help help help help help help

Answers

Answer:

7

Step-by-step explanation:

15-8 is 7

16-8 is 7

17-10 is 7

18-11 is 7

this fits the eqation.

hope this helps you

Calculate the difference and enter it below. -9-(-10) Answer here​

Answers

Answer:

-9-(-10)

=-9+10

=1

it’s 1 because you pretend that the two negatives signs between rhe parentheses and the 9 and 10 that they’re the plus sign and then you follow the rules which is when signs are different you subtract and 10-9 = 1

plzz help asap plzzzzz

Answers

Answer:

5.45 then 6.454 then 5425 then 12825

Step-by-step explanation:

Yesterday, there were 96 problems assigned for math homework. Hanson got 72 out of 96 problems correct. What percentage did Hanson get correct?​

Answers

Answer:

He got 75% correct

Step-by-step explanation:

72/96 = 3/4 = 0.75

0.75 × 100 = 75%

share £650 in the ratio of 4:9

Answers

Answer:

200:450 that would be the answer i believe

Look at UVZ and WVZ in the image below.

Which of the following is the best description for this pair of angles?

A) supplementary

B) acute

C) straight

D) complementary

Answers

Answer:

A Supplementery

Step-by-step explanation:

they show on usa test prep

The best description for the given pair of angles is supplementary as shown in the figure. which is the correct answer would be an option (A).

What are supplementary angles?

Supplementary angles are two angles that add up to 180 degrees. In other words, if you have two angles and you add their measures together, the sum will be 180 degrees if the angles are supplementary.

For example, consider the following pair of angles:

Angle A measures 80 degrees.

Angle B measures 100 degrees.

The sum of the measures of these two angles is 80 + 100 = 180 degrees, so angle A and angle B are supplementary angles.

As per the given figure, we have two angles UVZ and WVZ

As indicated in the image, the best description for the given pair of angles is supplementary.

Learn more about supplementary angles here:

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The graph of g(x) = x + 2 is a translation of the graph of the parent function 2 units [ A. right , B. left , C. up , D. down ].
The graph of g(x) = 3(–x) is the graph of the parent function stretched vertically and reflected across the [ A. x-axis, B. y-axis ].
The graph of g(x) = (5x) is a [ A. vertical stretch, B. vertical compression, C. horizontal stretch ,D. horizontal compression ] of the graph of the parent function.

Answers

Answer:

Step-by-step explanation:

1. C

2. B

3. D

Moneysaver's Bank offers a savings account that earns 5% interest compounded continuously. If Ravi deposits $3200, how much will he have in the account
after six years, assuming he makes no withdrawals?
Do not round any intermediate computations, and round your answer to the nearest cent
x
5
?

Answers

the answer is 4160$

     After 6 years of investment of $3200 compounded continuously, final amount in the account will be $4319.55.

Moneysaver's Bank offers a saving account with the features as,

Rate of interest = 5% annualTime of investment = 6 yearsPrincipal amount = $3200

Expression to calculate the final amount when compounded continuously,

Final amount = [tex]P.e^{rt}[/tex]

Here, P = Principal amount

r = Rate of interest

t = Duration of investment

By substituting the values in the expression,

Final amount = [tex]3200.e^{0.05\times 6}[/tex]

                      = 3200(1.3498588)

                      = 4319.548

                      ≈ $4319.55

  Therefore, after 6 years of investment of $3200, final amount in the account will be $4319.55.

Learn more,

https://brainly.com/question/2141828  

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