Mathematics, 26.09.2021 14:00, aliyahgregory
Point Q is the midpoint of segment PR. QR = 18 and PR = 5x+6.

Answers

Answer 1

Applying the definition of the midpoint of a segment, we have:

x = 6

PR = 36 units

What is the Midpoint of a Line Segment?

If point Q is the midpoint of segment PR, it therefore means that point Q bisects (divides) line segment PR into two equal parts, namely: PQ = QR.

Also, PQ + QR = PR

Given the following:

QR = 18

PR = 5x + 6

Thus, we can create the following equation:

2(QR) = PR

Substitute

2(18) = 5x + 6

36 = 5x + 6

36 - 6= 5x + 6 - 6

30 = 5x

30/5 = 5x/5

6 = x

x = 6

PR = 5x + 6

Plug in the value of x

PR = 5(6) + 6

PR = 36 units

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Related Questions

\(2x^{2} +12x=66\)

Answers

Answer:

x=−3±42=−3±42√

Step-by-step explanation:

I got u bro

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Question in the picture

Pls help!!!Question in the picture

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Answer:

-7, -\(\pi\) -\(\sqrt{3}\) , 9

Step-by-step explanation:

Answer:

The answer will be... -7, -\(\pi\), -\(\sqrt{3}\), 9

Step-by-step explanation:

Hope this helped you.

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Stuck on this question ​

Help plsStuck on this question

Answers

Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

Complete the table of values for y.

1. y=-2x

Answers

Answer:

when y=0,X=0,,

y=1,X=-2

y=2,X=-4

Answer:

5: -4

4: -2

3: 0

2: 2

1: 4

0: 6

The height of a triangle is 2 more than
four times its base. If the area of the
triangle is 21 square units, find the
length of the base of the triangle

Answers

Answer:

the length of base triangle is 42cm

Find the area of this triangle

Find the area of this triangle

Answers

Answer:

50.32

Step-by-step explanation:

please I need to answer three brainliest questions​

Answers

what question? where is the question???????????????????????????????????????????????????

An online camping supplies outlet charges $14 for a canteen,
and shipping is $2 per order.
Part A
Write an expression that CJ can use to find the total cost in
dollars for ordering n canteens.

Part B
CJ orders 2 canteens and his friend Cameron orders 4 canteens.
What is the total cost, including shipping, for both orders?
Show your work.

Answers

Answer:

Part A: 14x + 2

Part B: CJ's order is $30, and Cameron's order is $58.

Step-by-step explanation:

Part A: The total cost of the order would be $14 multiplied by the amount of canteens, plus the shipping price of $2. This is what my expression represents.

Part B:

CJ's Order:

14(2) + 2 =

28 + 2

$30

Cameron's Order:

14(4) + 2 =

56 + 2 =

$58

Hope this helps! :D

Calculus please help

Calculus please help

Answers

f(x) is discontinuous.

Since LHS ≠ RHS ≠ f(x).

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

here, we have,

We have,

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Now,

A x = 1

LHS of f(x) = lim f((h - 1)) =  (h - 1 - 1) = 0 -2 = -2

RHS of f(x) = lim  f(h + 1) =  (2(h + 1) - 1) = 2h + 2 - 1 = 0 + 1

f(1) = x + 1 = 1 + 1 = 2

We see that,

LHS ≠ RHS ≠ f(x)

So,

f(x) is not continuous, it is discontinuous.

Thus,

f(x) is discontinuous.

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The complete question.

Show that the following functions are continuous or discontinuous at x = 1.

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

A car travels 350 miles on 20 gallons of gasoline. How many gallons will be used to travel 875 miles under the same conditions?

Answers

Answer:

43.75 gallons will be used

Step-by-step explanation:

I need help asap please

I need help asap please

Answers

Answer:it won't let me see the pic so type it out plz am very good at math am number 1 in my math class

Step-by-step explanation:

Distributive Property and associative Property

What is the meaning of conditionally promoted in school​

Answers

Conditionally promoted is the status of a learner who did not meet expectations in at most two learning areas

find the expected value of the winnings from a game that has the following payout I cannot proceed without your help :)

find the expected value of the winnings from a game that has the following payout I cannot proceed without

Answers

The expected value of the winnings from the game is $3.24.

To find the expected value of the winnings, we multiply each possible payout by its corresponding probability and sum them up.

Expected Value = (2 x 0.64) + (4 x 0.18) + (6 x 0.12) + (8 x 0.04) + (10 x 0.02)

Expected Value = 1.28 + 0.72 + 0.72 + 0.32 + 0.20

Expected Value = 3.24

Therefore, the expected value of the winnings from the game is $3.24.

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alice sold 3 more than 2 times the number of magazines Josh sold. Alice sold a total of 27 magazines. How many magazines does Josh sell?

Answers

Answer:  12

Step-by-step explanation:

you can check this by doing this 12 x 2 = 24 + 3 = 27

What is the y-intercept of the line y = -x-5?
OA. -5
OB. 5
OC.
1/2
O D.-1/2

Answers

Answer:

A. -5

Step-by-step explanation:

In a slope-intercept equation, the form goes this way:

y = mx + b ---> y intercept

    |

    |

     > slope / gradient / constant of variation / rate of change

So in the line y = -x - 5 the -5 keeps its symbol and is the y-intercept.

Therefore, the y-intercept of the line is -5.

Answer:

-5

Step-by-step explanation:

● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.

Answers

The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

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Identify the method that will be used in solving for X
5+x=3/4
A• distributive property
B• multiplication property of equality
C• division property of equality
D• subtraction property of equality

Answers

Answer:D• subtraction property of equality

Step-by-step explanation:subtract 3/4  on both sides?????

D. Subtraction property of equality

what is 1 ??........?

what is 1 ??........?

Answers

Answer:

b

Step-by-step explanation:

Answer:

1 is 1

Step-by-step explanation:

what is 1 ??........?

Identify the slope and y-intercept of the function y=-5x+4.O A. The slope is -5.The y-intercept is (0,4).O B. The slope is 5.The yintercept is (0,4).O C. The slope is 4.The y-intercept is (0,5).O D. The slope is 4.The y-intercept is (0,-5).

Answers

In the equation

The slope is m = -5x

Y-intercep is b = (0,4)

The answer would be A

The slope is -5.

The y-intercept is (0,4).

PLEASE HELP I WILL GIVE BRAINLIST PLEASE

PLEASE HELP I WILL GIVE BRAINLIST PLEASE

Answers

Answer: D: 4.5

Step-by-step explanation:

So the Equation I used for this would be

6(2x+3) = 3(6x-3)

In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with

12x+18=18x-9

-12x            +9

27=6x

Divide to get X by itself

and your left with

4.5 = x

Hope it helped.

Help I need help this is hard

Help I need help this is hard

Answers

The answer is transcription, transcription defines the transfer of genetic instructions

Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?

Answers

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 32 of the 44 online courses at this particular community college were taught by full-time faculty.
Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.

Answers

Answer:

The p-value of the test is 0.5028>0.05, which means that there is sufficient evidence to determine that 68% represents the state in question.

Step-by-step explanation:

Test if 68% represents the state in question.

This means that at the null hypothesis, we test if the proportion is 68%, that is:

\(H_0: p = 0.68\)

At the alternate hypothesis, we test if the proportion is different of 68%, that is:

\(H_a: p \neq 0.68\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.68 is tested at the null hypothesis:

This means that \(\mu = 0.68, \sigma = \sqrt{0.68*0.32}\)

32 of the 44 online courses at this particular community college were taught by full-time faculty.

This means that \(n = 44, X = \frac{32}{44} = 0.7273\)

Test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.7273 - 0.68}{\frac{\sqrt{0.68*0.32}}{\sqrt{44}}}\)

\(z = 0.67\)

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion differing by the population proportion by at least 0.7273 - 0.68 = 0.0473, which is P(|z| > 0.67), which is 2 multiplied by the p-value of z = -0.67.

Looking at the z-table, z = -0.67 has a p-value of 0.2514

2*0.2514 = 0.5028

The p-value of the test is 0.5028>0.05, which means that there is sufficient evidence to determine that 68% represents the state in question.

help me for 50 points​

help me for 50 points

Answers

Answer:

I hope it helped U

stay safe stay happy

help me for 50 points

Answer:

Step-by-step explanation:

There are 8 triangles and 12 circles. What is the simplest ratio of triangles to circles?

Answers

Answer:

8:12

Step-by-step explanation:

Answer:

8/12=2/3

Step-by-step explanation:

simplest ratio of triangles to circles=8/12

=2/3

Factor.
3x² +7x

I don’t know what to do

Answers

Answer:

Most you can do is factor out the x and turn it into   x (3x + 7)

roots would be x = 0 and x = -7/3

Answer:  x(3x+7)

Step-by-step explanation:

You would factor the x out of both of your values and put on the outside of the parenthesis. And you put the two numbers that you have left inside of the parenthesis. And that is as far down as this function can be factored.

Find the value of x in the equation
X+2.37=5.94

Answers

Answer:

x = 3.57

Step-by-step explanation:

5.94 - 2.37 = 3.57

Hope this helped

Answer:

3.57

Step-by-step explanation:

Subtract 2.37 from both sides.

5.94 - 2.37 = 3.57

if you take away 25 from a number you will be left with two and halftimes 30. what is the number?​

Answers

The answer would be 100.
If you take away 25 from (100) you get 75.
70 also equals 2.5*30

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?

Answers

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Aiden is trying to pick up some lawn mowing jobs over the weekend to make extra money for a school trip. Each lawn in his neighborhood takes an average of 40 minutes to mow, and Aiden has no more than 11 hours, or 660 minutes, of available time to mow lawns. If Aiden mows his grandparents' farm which takes him 110 minutes, and x represents the number of lawns he mows in his neighborhood, which inequality represents this situation?
A.
40x + 110 ≤ 660
B.
110x + 40 ≤ 660
C.
110x + 40 ≥ 660
D.
40x + 110 ≥ 660

Answers

Answer:

A.

Step-by-step explanation:

40x is the number of lawns he can do, less the time to do his grandparents time (added to other law time) and he has 660 mins of less to complete them.

Answer:

a. 40x + 110 ≤ 660

Step-by-step explanation:

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