Find the value of PR if Q is between P and R
when PQ=25, PQ=2x+1, and QR=x.
X
ат
X=8

Answers

Answer 1

Answer:

[tex]PR = 37[/tex]

Step-by-step explanation:

Given

[tex]PQ = 25[/tex]

[tex]PQ = 2x +1[/tex]

[tex]QR = x[/tex]

Required

PQ

Since Q is between the given points, then:

[tex]PR = PQ + QR[/tex]

This gives:

[tex]PR = 2x + 1 + x[/tex]

Collect like terms

[tex]PR = 2x + x+ 1[/tex]

[tex]PR = 3x + 1[/tex]

Next, solve for x

We have:

[tex]PQ = 25[/tex]

[tex]PQ = 2x +1[/tex]

This gives:

[tex]2x + 1 = 25[/tex]

Collect like terms

[tex]2x = 25 -1[/tex]

[tex]2x = 24[/tex]

Divide by 2

[tex]x = 12[/tex]

So:

[tex]PR = 3x + 1[/tex]

[tex]PR = 3 * 12 + 1[/tex]

[tex]PR = 37[/tex]


Related Questions

The first five terms of a sequence are 34, 35, 36, 37, 38.
Write down the general term of the sequence

Answers

33+n

Hope it helps you...

PLEASE HELP WILL MARK BRAINLIEST‼️‼️‼️
Question: Write the equation of the piece wise function that is represented by its graph.
(Graph and Answers Pictured)

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The left portion of the curve is defined for x < 1, except x=0. The right portion of the curve is defined for x ≥ 1. The only answer choice with these domain segments is the last one.

Please help me Thank you​

Answers

Step-by-step explanation:

help me you nedd to add position

The transformations to the parent function of a quadratic equation are given below. write an equation of the new function in vertex form

Answers

Answer:

11.f(x)=^2-3

Step-by-step explanation:

12.And slide everything five units down. So a over here that's negative three negative one. So if we slide at five you just down we go one two three four five and get here.

Hope it helps

Use interval notation to express the following:
The set of all numbers less than 2.

Answers

Answer:

( - infinity, -3 ] [ -2, infinity )

square bracket means it includes the end point.

Step-by-step explanation:

(-∞, -3]U [-2,∞)

Graph the image of Kite BCDE after a translation 5 units down.​

Answers

Answer:

See attachment for the translated kite

Step-by-step explanation:

Given

The attached image of BCDE

Required

Translate 5 units down

From the attachment;

[tex]B = (-7,0)[/tex]

[tex]C = (0,5)[/tex]

[tex]D =(-7,10)[/tex]

[tex]E = (-10,5)[/tex]

The rule to translate 5 units down is:

[tex](x,y) \to (x,y-5)[/tex]

So:

[tex]B' = (-7,-5)[/tex]

[tex]C' = (0,0)[/tex]

[tex]D' = (-7,5)[/tex]

[tex]E' = (-10,0)[/tex]

See attachment for the translated kite

Write the following as an algebraic expression. Then simplify.

The total amount of money​ (in cents) in x nickles​, (x+3) quarters​, and 3x dimes. ​(Hint: The value of a nickel is 5 ​cents, the value of a quarter is 25 ​cents, and the value of a dime is 10 ​cents.)

The total amount of money is ___ cents.
​(Simplify your answer. Do not​ factor.)

Answers

Answer:

[tex]60x+75[/tex]

Step-by-step explanation:

We want to find the total amount of money (in cents) of the expression:

[tex]\text{$x$ nickels, $(x+3)$ quarters, and $3x$ dimes}[/tex]

Since each nickel is worth five cents, each quarter 25 cents, and each dime ten cents, we can write that:

[tex]\displaystyle \text{Total}=5(x)+25(x+3)+10(3x)[/tex]

Simplify. Distribute:

[tex]T=5x+25x+75+30x[/tex]

Combine like terms. Therefore, the total amount of money (in cents) is represented by:

[tex]T=60x+75[/tex]

Use I = PRT to solve.

Answers

Answer: 11%

Step-by-step explanation:

Since the formula for interest is:

I = PRT

where.

P = 1200

I = 99

T = 0.75

I = PRT

R = I/PT

R = 99/(1200 × 0.75)

R = 99/900

R = 11%

Therefore, the rate is 11%

20. What is the next term in the following sequence:
Please hurry

Answers

9514 1404 393

Answer:

  (a)  -1215/32

Step-by-step explanation:

The sequence is apparently geometric. The common ratio is ...

  (-135/2)/90 = -135/180 = -3/4

Then the next term is ...

  (405/8)(-3/4) = -1215/32

Answer:

abcdefg omlllfffg

Step-by-step explanation:

1. Find the least common multiple of 6 and 9. oct common multiple of​

Answers

The least common multiple is : 18

It is the lowest amount that can be reached.

I have 8 carrots my Brother Ate 2
How Much I have left?​

Answers

Answer:

6?

Step-by-step explanation:

..........................

Pls I don’t know what to do

Answers

Answer:

[tex]{ \bf{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( {8.1}) }^{2} }} \\ = { \tt{206.1 \: {cm}^{2} }}[/tex]

A college has 7 science batches and each batch has 48 students, It is compulsory for each student to do 24 hours of community service in a year. How many hours of community service does the college contribute in a year ?​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Firstly, find out how many students there are in 7 batches. You can do this by timesing 48 by 7 to get 336. So there are 336 students in 7 batches. Each student does 24 hours of community service in a year so do 336 times by 24 which is 8,064. Therefore,the college contributes 8,064 hours of community service in a year.

hope this helps,have a great day!!

~Pinky~

Please show work thank you

Answers

Answer

No solution

Step-by-step explanation:

4y + 2x = 18

3x + 6y = 26

You need either the x's or the y's to have the same coefficients.

let's line things up first.

4y + 2x = 18   (multiply by 3)

6y + 3x = 26  (multiply by 2)

to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.

12y + 6x = 54

12y + 6x = 52

So, if you subtract them from each other you get :

0 = 2

When this happens the solution set is : no solution

Answer:

Impossible

Step-by-step explanation:

Ok, so we first rearrange for convenience:

2x+4y=18

3x+6y=26

We multiply the two equations to eliminate x:

2x+4y=18 * -3

3x+6y=26 * 2

So:

-6x-12y=-54

6x+12y=52

And now we add the two equations:

0+0= -2

Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.

Assume that the tunnel in Exercise 3.132 is observed during ten two-minute intervals, thus giving ten independent observations Y1, Y2,..., Y10, on the Poisson random variable. Find the probability that Y > 3 during at least one of the ten two-minute intervals

Answers

Answer: hello the exercise is missing from your question below is the missing exercise for reference

answer:

0.1745

Step-by-step explanation:

Determine  P ( Y > 3 )

Given that y follows Poisson distribution with mean

P( Y = y ) = [tex]\frac{e^{-1} }{y!}[/tex]

assuming that yi represents number of autos that will enter the tunnel and

also let A represent Y > 3 at one of the ten two-minute interval

step 1 : hence finding  P(A )

= P(Y > 3 ) = 1 - P( Y≤ 3 )

= 1 - [ [tex][\frac{e^{-1} }{0!} +\frac{e^{-1} }{1!} +\frac{e^{-1} }{2!} +\frac{e^{-1} }{3!} ][/tex]

= 0.018988

since the ten observations are independent

P(X≥ 1 ) = 1 - P( X = 0 )

            = 1 -  [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right][/tex]  * (0.018988)^0 ( 1 - 0.018988)^10-0

            = 1 - 0.8255 = 0.1745

                 

Find the quotient of 4x^3-12x² + 8x/ - 4x
O x2 + 3x - 2
O x²-12x + 4
O -x2 – 3x + 2
O x² + 12x - 4​

Answers

Answer:

-x^2+3x-2

Step-by-step explanation:

I think one of the signs are wrong in the equation.

Tom had some blocks that were all the same size and shape. He used two of them to make this regular hexagon He placed six more blocks around this hexagon to make a bigger regular hexagon
How many more blocks does he need to place around this shape to make the next bigger regular hexagon?
(A) 6
(B) 10
(C) 12
(D) 18

Answers

Answer:

Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...

The mean score in an exam given to 40 students is 70. What is the sum of the 40 exam scores? A. 1500 B. 2000 C. 2800 D. 3000​

Answers

Answer:

C

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{40}[/tex] = 70 ( multiply both sides by 40 )

sum = 40 × 70 = 2800 → C

 

The answer do be c doe

What is the graph of 4x + 2 < 10

Answers

The first answer is correct.

It can be written as (-3, 2)
The endpoints are circles because |4 x -3 + 2| = 10 which is NOT < 10
and |4 x 2 + 2| = 10

Any values between -3 and 2 are valid
|4 x -2.9 + 2| = +9.6 which is less than 10
|4 x 1.5 + 2| = 8 which is less than 10

can anyone solve 3?

Answers

9514 1404 393

Answer:

  a) $7715.10

  b) $6022.02

  c) 15263.10

Step-by-step explanation:

A calculator or spreadsheet can evaluate the formulas for you using the given parameters.

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual rate, n is the number of times interest is compounded per year, and t is the number of years.

The continuously compounded interest formula is ...

  A = Pe^(rt) . . . . where P, r, t are defined as above

Often the function e^x is defined as the exp(x) function.

__

A calculator or spreadsheet can perform rounding for you, but we elected not to confuse the issue with that step. The calculator results below are rounded in the answer list above.

For part (a), we have ignored the fact that 7 years will have an additional week, since there are 1 or 2 extra days (beyond 52 weeks) in each year. Taking that into account adds a penny to the account balance.

The extra day in a leap year affects the account balance in the 8th significant figure. Our balance has only 6 significant figures, so we do not need to be concerned with the effect of a possible leap year in the 3-year period of part (b).

Find h.
9 ft
h =
= [?] ft
4 ft

Hemp me solve

Answers

Answer:

9ft =2.743m

kjhgfdfvhhgddfcvh

PLEASE HELP WKLL MARK IF YOU HELP ME !!!

Answers

Answer :

Let in Triangle abc,

a=90,

b = (we have to find)

c = (we have to find)

c + 144=180 (linear pair)

c = 180 - 144

c = 36

a + b + c = 180 (Angle sum property)

90 + b + 36 = 180

126 + b = 180

b = 180-126

b = 54

what does $42,690e(0.03)(20) equal​

Answers

Answer:

77,786.251

Step-by-step explanation:

Urgent!!!!! please help ​

Answers

Answer:

A

Step-by-step explanation:

I will edit and add my explanation

The 3 and 2 are both positive if the information that was given in the screenshot is standalone.

So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.

We can narrow the choices down to A and C because they both move right.

Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.

3 * 2 is also 6, so it must end on 6.

Which of the following is most likely the next step in the series?
B

Answers

Answer:

C

Step-by-step explanation:

The pattern seems to go as follows:

1. Top left portion is in blue

2. Top left portion is in blue as well as the rest of the upper half filled with red.

3. Another portion of blue is added directly underneath the red.

This leads me to believe that the colors are alternating from blue to red to blue to finally, red. This makes your answer C. Please let me know if you still need help!

The answer would be C because if you match the color with the number, then C would make the most sense and would be the correct answer. For example, the circle started of with a blue triangle and with number 1 then it had a red triangle with number 2 , and hence if you follow and match the color and the numbers. It would lead you to your answer.

Therefore, the correct answer is C. Hopefully this helps.

Which of the following theorems verifies that DEF = XYZ?

Answers

Answer:

AA

Step-by-step explanation:

HL = requires actual measurements of sides

LL = There are no measurements for the legs

HL = There are no measurements for the legs or hypotenuse

HA = Doesn't exist

 please helpppp!!! it’s timed!!!! thank u for helping!!!!!

Answers

Answer:

[tex]4 \pi {?}^{2} [/tex]

hope it is helpful to you

‼️‼️need help asap ‼️‼️

Answers

Answer:

D

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

=3x^3+8x^2-7x-4-(2x-6)

=3x^3+8x^2-9x+2

2/5+3/7 is the same as?​

Answers

Answer:

29/35

Step-by-step explanation:

Least common denominator of 5 and 7 is 35

[tex]\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\ \ = \frac{14+15}{35}\\\\ = \frac{29}{35}[/tex]

HELPPPPP PLEASEEEE ASAPPPP WILL GIVE POINTS/BRAINLIEST

A function is shown in the table.

x g(x)
−3 17
−1 −3
0 −4
2 13

Which of the following is a true statement for this function? (5 points)

The function is increasing from x = −3 to x = −1.
The function is increasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.
The function is decreasing from x = −3 to x = −1.

Answers

Answer:

2nd

Step-by-step explanation:

i know I don't have an exlanation'

Other Questions
I need 40 people to enter this link and Singh up, can you please help mehttps://xzjob.xyz/ba36399822546/ Click to read the passage from The Metamorphosis, by Franz Kafka. Thenanswer the question.How does Gregor's appearance affect his mother?A. Mournful, she begins to cry.B. Excited, she says she loves him.C. Frustrated, she yells at him.D. Frightened, she faints.SUBMIT What is a number divided by 3gives a remainder of 1, divided by 4gives a remainder of 2, divided by5 gives a remainder of 3? Mandy borrows $10,000 for 3 years at a 6% interest. What is the cost of the loan, or total interest? Peggy had four times as many quarters as nickles. She had $2.10 in all. How many nickles and how many quarters did she have?Which of the following equations could be used to solve the problem?n+4n=2.10n+4n=2105n+100n=2.105n+100n=210 The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited Give any two examples for each. 1. Floating plants 2. Underwater plants 3. Fixed plants 4. Emergent plants 5. Insectivorous plants 6. Mangroves 7. Desert plants 8. Coniferous trees 9. Deciduous trees 10. Grass 11. Evergreen trees Write down in terms of n, an expression for the nth termof the following sequences:a) 4 1 -2 -5 -8b) -7 -12 -17 -22 -27 Sycopation is an ___ accent note.The letters to unscramble are ETECUPENDEX We depend on the sea, economically, social well-being, and for the quality of our lives, yet direct and indirect human activities have affected the marine environment, causing many problems such as overfishing and pollution. What can we do to correct these problems? I don't get how to do this. 4) Last week Kathryn ran 8.6 miles morethan Jaidee. Kathryn ran 22.3 miles. Howmany miles did Jaidee run? Linda is doing car wash with her teammates to collect money for their trip. They canget $12 for the car that they wash. In order to start their work, they spent $155 to buysupplies needed for the work.Part A:Create a function f(c) to represent the profit that they make for washing c cars.f(c) =(b)Part B:Use the function rule that you created on Part A to find the value of f '(145)f-? (145) I kinda need help What is the fraction 1/4 in decimal form?I need help with this one to Solve 3^3 Help ASAP please!!!!!!!!! A graph is shown below:A graph is shown. The values on the x axis are 0, 4, 8, 12, 16, and 20. The values on the y axis are 0, 16, 32, 48, 64, and 80. Points are shown on ordered pairs 0, 64 and 4, 48 and 8, 32 and 12, 16 and 16, 0. These points are connected by a line.What is the equation of the line in slope-intercept form? On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite directionThe number b varies directly with the number a. For example b= 2 when a = -2-2. Which equation represents thisdirect variation between a and b?ObraO b = aOb-a= 0Ob(-a) = 0 answer only one question No 1 only Brain to first correct answer Which expression is equivalent to f+f+8ff+f+8f?