eighth grade Algebra one

Eighth Grade Algebra One

Answers

Answer 1

[tex]\Large{\red{\underline{\underline{\mathrm{ SOLUTION :- }}}}}[/tex]

Here it is given that , a postal service charges a flat rate of 11.10 and a additional rate of 3 / kg .We need to write the equation in slope intercept form . And let ,

[tex]\sf\qquad\longrightarrow Total \ cost \ = \ y\\[/tex]

[tex]\sf\qquad\longrightarrow Total\ weight\ = \ x [/tex]

So the total cost would be the sum of flat rate plus the cost of the total weight . Therefore,

[tex]\sf\qquad\longrightarrow Cost_{weight}= \$3 \times x =\pink{\$3x}[/tex]

Therefore the total cost would be,

[tex]\sf\qquad\longrightarrow Cost_{total}= Cost_{flat}+Cost_{weight}\\[/tex]

[tex]\sf\qquad\longrightarrow y = \$11 + \$ 3x [/tex]

Rearrange in slope intercept form , which is y = mx + c , as ;

[tex]\sf\qquad\longrightarrow \boxed{\pink{\sf y = \$3x + \$11}}[/tex]


Related Questions

Subtract

(3^3 − 2^2 + 7) − (5^3 − 2 − 3^2 − 8)

Answers

Answer:

-103

Step-by-step explanation:

Exponentiation: 2 ^ 2 = 4

Add: the result of step No. 3 + 7 = -4 + 7 = 3

Exponentiation: 5 ^ 3 = 125

Subtract: the result of step No. 5 - 2 = 125 - 2 = 123

Exponentiation: 3 ^ 2 = 9

Subtract: the result of step No. 6 - the result of step No. 7 = 123 - 9 = 114

Subtract: the result of step No. 8 - 8 = 114 - 8 = 106

Subtract: the result of step No. 4 - the result of step No. 9 = 3 - 106 = -103

Answer:

-76

Step-by-step explanation:

To solve this equations, we must use the order of operations, or PEMDAS, Parenthesis, exponents, multiplication, division, addition, and subtraction.

The value of the first side is 30, the value of the second side is -106

We add and subtract and our answer will be -76

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Which of the following are solutions to the equation below?
Check all that apply.
X^2-3x+ 27 = 6x + 7

Answers

[tex]\\ \rm\bull\rightarrowtail x^2-3x+27=6x+7[/tex]

[tex]\\ \rm\bull\rightarrowtail x^2-3x-6x+27-7=0[/tex]

[tex]\\ \rm\bull\rightarrowtail x^2-9x+20=0[/tex]

[tex]\\ \rm\bull\rightarrowtail x^2-5x-4x+20=0[/tex]

[tex]\\ \rm\bull\rightarrowtail x(x-5)-4(x-5)=0[/tex]

[tex]\\ \rm\bull\rightarrowtail (x-4)(x-5)=0[/tex]

[tex]\\ \rm\bull\rightarrowtail x=4,5[/tex]

♪Answer :

»x² - 3x + 27 = 6x + 7

ax² + bx + c = 0

»x² - 3x + 27 - 6x - 7 = 0

»x² - 9x + 20 = 0

»(x - 4)(x - 5) = 0

»(x - 4) = 0 V (x - 5) = 0

For [tex]\tiny x_1[/tex]

»x - 4 = 0

»x = 0 + 4

»x = 4

For [tex]\tiny x_2[/tex]

»x - 5 = 0

»x = 0 + 5

»x = 5

x = {x| 4 or 5, x€R}

Let f(x)=4x^2+5 The function g(x) is f(x) translated up for units entered the equation of g(x) in the box

Answers

Answer:

All you have to do is add 4 to the equation

This gives you g(x)=4x^2+9 which is your answer

Step-by-step explanation:

Mr. Browne works for $6.00 per hour. His wife works for $8.00 per hour. One week they each earned the same pay. If they get paid for full hours only, what is the least amount of hours worked by each? Give two other possible ways that they could both earn the same pay.

Answers

Answer:

In explanation

Step-by-step explanation:

If Mr.brown worked 20 hours and his wife wold of worked 15 hours they would both earn 120$.

Another one is if Mr.brown works 40 hours and his wife works 30 hours they each could make 240$

Hope this helps have a great day:)

Answer:

Step-by-step explanation: Browne works 4 hours and gets 24$. Wife works 3 hours and gets 24$. That's the least amount of hours for them to earn the same pay. Some other ways: Browne - 8 h and 48$, Wife - 6 h and 48$. Their hours just should be 4:3

Find the equation of a polynomial with the zeros 8, 5, 1, and -1.

Answers

Answer:

f(x) = x⁴ - 13x³ + 39x² + 13x - 40

Step-by-step explanation:

If the zeroes are 8, 5, 1 and -1, then x = 8, x = 5, x = 1, x = -1

⇒ x - 8 = 0

⇒ x - 5 = 0

⇒ x - 1 = 0

⇒ x + 1 = 0

⇒ f(x) = (x - 8)(x - 5)(x - 1)(x + 1)

⇒ f(x) = x⁴ - 13x³ + 39x² + 13x - 40

please answer quick
no explanation needed

Answers

Answer:

b, c and d are all correct

Step-by-step explanation:

if you substitute, numbers for x, it simply has to be greater than 15

Given the circle below with chords AB and CD.
Find the length of CE.
Round to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

CE × ED = AE × EB

17 CE = 14 × 18

CE = [tex]\frac{252}{17}[/tex] ≈ 14.8

what is 9−4(5x−6) and it's explanation

Answers

Answer:

The expression simplifies into 33-20x

Step-by-step explanation:

1. 9[-4(5x-6)] *Multiply the parentheses by -4

2. 9+24-20x *Combine like-terms

3. 33-20x

Mike found 74 seashells on the beach, he gave Mary some of his
seashells. He has 26 seashell left. How many seashells did he give to Mary ?

Answers

Answer:

48 seashells

Step-by-step explanation:

you subtract 74-26 to get 48. to check your answer you do 74-48 to get 26.

Answer:

48 seashells were given to mary

Step-by-step explanation:

Mike has 74 seashells, and he gave some to mary.

__ + 26 = 74

The amount of seashells given to mary is that empty spot

So, let's subtract 74 by 26 and get 48 seashells given to mary

We can double check this answer by adding 48 and 26 to get 74, the original amount of seashells that mike had.

The table shows the breakdown of the points scored in last week's basketball game.

a. Write a linear expression in simplest form to represent the total field goal points scored in the first two quarters.

b. Write a linear expression in simplest form to represent the total points scored in the game

Answers

Answer:

a. Total field goal points scored in the first two quarters, in simplest linear expression form is: 3x - 4.

b. The total points scored in the game, in simplest linear expression form is: 6x - 1.

a. The goal points scored in the first two quarters are expressed in linear forms as: 2x - 6 and x + 2.

The total field goal points in the first two quarters = 2x - 6 + x + 2

Add like terms

3x - 4

b. The total points scored in the game = 2x - 6 + x + 2 + 2x + x - 6 + 9

Add like terms and simplify the expression

2x - 6 + x + 2 + 2x + x - 6 + 9

6x - 1

Step-by-step explanation:

Solve each system using the elimination method
4x-y=-2
2x+y=2

Answers

Answer:

[tex]\left \{ {{x=0} \atop {y=2}} \right.[/tex]

Step-by-step explanation: [tex]\left \{ {{4x-y=-2} \atop {2x+y=2}} \right.[/tex]

Add the two equations

[tex]4x-y+(2x+y)=-2+2[/tex]

Remove parentheses

[tex]4x-y+2x+y=-2+2[/tex]

Cancel one variable

[tex]4x+2x=-2+2[/tex]

Apply the Inverse Property of Addition

[tex]4x+2x=0[/tex]

Combine like terms

[tex]6x=0[/tex]

Divide both sides by the equation by the coefficient of variable

[tex]x=0[/tex]

Substitute into one of the equations

[tex]2\times0+y=2[/tex]

Apply Zero Property of Multiplication

[tex]y=2[/tex]

The solution of the system is

[tex]\left \{ {{x=0} \atop {y=2}} \right.[/tex]

I hope this helps you

:)

In Pittsburgh, PA about 56% of the days in a year are cloudy. Find the mean number of
cloudy days during the month of June. Recall that the month of June has 30 days.
Enter the exact value. Do not include units.

Answers

The mean number of cloudy days that can be found in Pittsburgh during the month of June is 7 days.

How to calculate the mean?

Since about 56% of the days in a year are cloudy, the number of cloudy days will be:

= 56% × 365

= 204 days

Therefore, the mean number of cloudy days during the month of June will be:

= 204/30

= 6.8 = 7 days

The mean number of cloudy days during the month of June will be 7 days.

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What is the radius of a circle whose equation is x2 y2 8x−6y 21=0?.

Answers

The radius of the circle of the provided equation, after comparing it with the standard equation of the circle, is 2.

What is the equation of circle?

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here (h,k) is the center of the circle and (r) is the radius of the circle.

The given equation of the circle is,

[tex]x^2+ y^2 +8x-6y +21=0[/tex]

Add number 16 and 9 both sides of the equation to complete the square.

[tex]x^2+ y^2 +8x-6y +21+16+9=16+9\\x^2+8x+16+ y^2 -6y +9=16+9-21\\(x+4)^2+(y-3)^2=4\\(x+4)^2+(y-3)^2=2^2[/tex]

Compare it with the standard equation of the circle, we get,

[tex]h=-4\\k=3\\r=2[/tex]

Hence, the radius of the circle of the provided equation, after comparing it with the standard equation of the circle, is 2.

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Gianna invested \$750$750 in an account in the year 2010, and the value has been growing exponentially at a constant rate. The value of the account reached \$1,060$1,060 in the year 2015. Determine the value of the account, to the nearest dollar, in the year 2019

Answers

The value of the account in 2019 is $1398.

What is the rate of growth of the account?

The formula that can be used to determine the growth rate is:

g = (FV / PV)^1/n - 1

Where:

g = growth rate FV = future value PV = present value n = number of years

(1060 / 750)^1/5 - 1 = 7.164%

What is the value of the account in 2019?

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value P = Present value R = interest rate N = number of years

$750 x ( 1.07164)^9 = 1398

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a cone-shaped pile of sawdust has a base diameter of 26 feet, and is 8 feet tall. find the volume of the pile

Answers

Answer: before I answer this do you need it in cubic feet or inches?

Step-by-step explanation:

Answer:

1,415.09 ft3

Step-by-step explanation:

First you would start off by finding the area of the circle. 13 squared is 169. Then you would multiply it by 3.14. You now have 530.66. Then you multiply it by 8 giving you 4,245.28. Then multiply that number by 1/3 which gives you 1,415.09 ft3.

Hope this helps!

Triangle ABC is reflected across line L to create A' B' C'.

What is the area of A' B' C'?​

Answers

Answer: 6

Step-by-step explanation:

A'B' = AB, and B'C' = BC. So A = (1/2)(3)(4)=6.

8(9f+5) YOO HELP ME PLSLSLLS

Answers

72f+40. First multiply the 8 and 9 to get 72f. Then multiply the 8 and 5 to get 40
Answer: 72x + 40

Explanation:

Distribute 8 -
8x * 9x + 8 * 5

Calculate the product -
72x + 8x * 5

Multiple the numbers -
72x + 40

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

Answer:

2 vertically and -11 horizontally

Explanation:

the graph shifts 2 vertically and -11 horizontally

note: vertically is up ↑ and bottom ↓ , horizontal is right → and left ←

2 vertical and -11 horizontal.

Take one point of 1 (I chose the bottom left corner) and move up (vertical) two times, and left eleven times (horizontal).

The equation would be (x-11, y+2)

help me plssssssssssssss

Answers

Answer:

B

Step-by-step explanation:

angle 1=180°-128°=52°

angle2=128°-68°=60° or angle2=180°-68°-angle1=60°

PLEASE PLEASE help!! i’ll mark

Answers

Answer:

144620453 cubic yards

Step-by-step explanation:

the side lengths of the cube are 524.9

the equation for the volume of a cube is the side length to the third power

so V=s^3

then plug in the number

V=524.9^3 plug into a calculator to get 144620453.2 then round to the nearest cubic yard so the answer is 144620453 cubic yards

Hope this helps! :)

Which pair is equivalent?

Answers

How to verify equivalent fractions? If two fractions are equivalent, then the product of one's numerator and the other's denominator is equal to the product of one's denominator and the other numerator. 1 x 12 = 3 x 4. So, 1/3 and 4/12 are equivalent fractions.

Which table represents a linear function?
X
у
5
1
2
10
3
15
4
20
5
25

Answers

Answer:

C  

Step-by-step explanation:

the third one .. or whichever looks like this -x 1 2 3 4 5

y 5 25 125 625 3125

Table C represents a linear function. Therefore, the correct option is option C among all the given options.

What is linear function?

A straight line just on coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane. This function can be expressed as f(x) = 3x - 2 since y can indeed be replaced with f(x).

We will discover what a linear function is in this article, along with information on its graph, domain, or range. Also, we will learn how to recognize a linear function as well as calculate its inverse. A $50 one-time cost plus $7 per T-shirt are what a t-shirt firm charges to put logos on T-shirts. Table C represents a linear function.

Therefore, the correct option is option C among all the given options.

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Jennifer has a credit card with an APR of 10. 22% and a billing cycle of 30 days. The following table shows Jennifer’s credit card transactions in the month of January. Date Amount ($) Transaction 1/1 807. 94 Beginning balance 1/7 41. 81 Purchase 1/8 53. 88 Payment 1/16 75. 00 Purchase 1/20 18. 65 Purchase 1/26 25. 00 Payment How much greater will Jennifer’s January finance charge be if the finance charge is calculated using the previous balance method than if it is calculated using the adjusted balance method? a. $0. 48 b. $1. 15 c. $0. 67 d. $0. 85.

Answers

Answer:

✅C. $0.67

i got it right⬇️

Jennifer's January finance charge will be $0.6717 more if it is calculated using the previous balance method.

What is the difference between the previous balance method and the adjusted balance method?

Previous balance method: Interest charges are based on the amount owed at the beginning of the previous month's billing cycle.

Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments have been posted.

The total amount on which interest will be applied using the previous balance method = 807.94+41.81+75+18.65 = $943.4

So, interest levied on this= 943.4*10.22*(30/360)*(1/100)= $8.0346

Now, the total amount on which interest will be applied using the adjusted balance method = 807.94+41.81+75+18.65-53.88-25 = $864.52

So, interest levied on this = 864.52*10.22*(30/360)*(1/100)= $7.3628

Difference between charges by previous balance method and adjusted balance method = 8.0346-7.3628 = $0.6717

Therefore, Jennifer's January finance charge will be $0.6717 more if it is calculated using the previous balance method.

To get more about the previous balance method and the adjusted balance method please refer to the link,

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what is 6.729 x 8.3 (show ur work)

Answers

Answer:92,817,765

Step-by-step explanation:Arrange the numbers one on top of the other and line up the place values in columns. The number with the most digits is usually placed on top as the multiplicand.

Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number

Write the answer below the equals line

If that answer is greater than nine, write the ones place as the answer and carry the tens digit

Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so.

When you've multiplied the ones digit by every digit in the top number, move to the tens digit in the bottom number.

Multiply as above, but this time write your answers in a new row, shifted one digit place to the left.

When you finish multiplying, draw another answer line below your last row of answer numbers.

Use long addition to add your number columns from right to left, carrying as you normally do for long addition.

Long Multiplication with Decimals

Long multiplication with decimals using the standard algorithm has a few simple additional rules to follow.

Count the total number of decimal places contained in both the multiplicand and the multiplier.

Ignore the decimals and right align the numbers one on top of the other as if they were integers

Multiply the numbers using long multiplication.

Insert a decimal point in the product so it has the same number of decimal places equal to the total from step 1.

Answer:

Step-by-step explanation:

Line up the numbers:

[tex]\begin{matrix}\:\:&6&7&2&9\\ \times \:&\:\:&\:\:&8&3\end{matrix}[/tex]

-------------------------------
[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&2&\:\:\\ \:\:&6&7&2&\textbf{9}\\ \times \:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&7\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&\textbf{2}&\:\:\\ \:\:&6&7&\textbf{2}&9\\ \times \:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&8&7\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&2&\:\:&2&\:\:\\ \:\:&6&\textbf{7}&2&9\\ \times \:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&1&8&7\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&2&\textbf{2}&\:\:&2&\:\:\\ \:\:&\:\:&\textbf{6}&7&2&9\\ \times \:&\:\:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&0&1&8&7\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&\:\:&7&\:\:\\ \:\:&\:\:&6&7&2&\textbf{9}\\ \:\:&\times \:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&\:\:&\:\:&\:\:&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&2&\textbf{7}&\:\:\\ \:\:&\:\:&6&7&\textbf{2}&9\\ \:\:&\times \:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&\:\:&\:\:&3&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&5&\textbf{2}&7&\:\:\\ \:\:&\:\:&6&\textbf{7}&2&9\\ \:\:&\times \:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&\:\:&8&3&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&\textbf{5}&2&7&\:\:\\ \:\:&\:\:&\textbf{6}&7&2&9\\ \times \:&\:\:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&3&8&3&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&5&2&7&\:\:\\ \:\:&\:\:&6&7&2&9\\ \times \:&\:\:&\:\:&\:\:&8&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ 5&3&8&3&2&\:\:\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&6&7&2&9\\ \:\:&\times \:&\:\:&\:\:&8&3\end{matrix}}{\begin{matrix}0&2&0&1&8&7\\ 5&3&8&3&2&0\end{matrix}}[/tex]

[tex]=558507[/tex]

Add Decimal Back:

[tex]=55.8507[/tex]

how many squares would have to be shaded in so that then 2 over 9 of the shape is shaded :)

please help!

Answers

Answer:

it would be a 9 piece shape so to make it 2/9 just shade 2

Step-by-step explanation:

Which pair of numbers are both between 12 and 13?

Answers

Answer:

C. √150 and √160

Step-by-step explanation:

12 squared is 144 and 13 squared is 169, so the numbers under the radicals must be between these numbers. The question must mean that the range is exclusive so only C can be correct.

what is $262.50 of $3000

Answers

Answer: 262.50  is 8.75% of 3000

Step-by-step explanation:

Solution for 262.50 is what percent of 3000:

262.50:3000*100 =

(262.50*100):3000 =

26250:3000 = 8.75

Now we have: 262.50 is what percent of 3000 = 8.75

Question: 262.50 is what percent of 3000?

Percentage solution with steps:

Step 1: We make the assumption that 3000 is 100% since it is our output value.

Step 2: We next represent the value we seek with  x


Step 3: From step 1, it follows that 100% = 3000.


Step 4: In the same vein, x% = 262.50 .

Step 5: This gives us a pair of simple equations:

100% = 3000(1).

x% = 262.50(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100%/x% = 262.50%/3000

x = 8.75% Therefore,
262.50  is 8.75% of 3000

Mark Me Brainliest <3 Best Of Luck.

Terri owns a computer repair shop. Her revenue at the end of last month was $8,000. What is Terri's Run Rate?

Click this link to open the Business Financials Part 2 Study Guide to view the formula used for this problem!

Type a comma to separate the digits and type the $ symbol when you enter your answer as shown below:

Example: $15,300

Answers

Based on the information given Terri's Run Rate is $96,000.

Run rate

Using this formula

Run rate=Revenue for the Period × Number of months in a year

Where:

Revenue for the Period =$8,000

Number of months in a year=12 months

Let plug in the formula

Run rate=$8,000×12 months

Run rate=$96,000

Inconclusion Terri's Run Rate is $96,000.

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Answer:

$96,000

Step-by-step explanation:

took the test

An expression is shown 456/10. between which two consecutive whole numbers does this value lie ? enter your numbers in the box

Answers

Answer:

46,44

Step-by-step explanation:

divide, then round up and down

Use the figure for 10 - 12. X is the midpoint of PQ.
10: Find PX
11. Find XQ
12. Find PQ​

Answers

Answer:

see explanation

Step-by-step explanation:

since X is the midpoint of PQ , then

PX = QX ( substitute values )

4x + 15 = 7x + 6 ( subtract 4x from both sides )

15 = 3x + 6 ( subtract 6 from both sides )

9 = 3x ( divide both sides by 3 )

3 = x

Then

PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27

XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27

PQ = PX + XQ = 27 + 27 = 54

Answer:

PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27

XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27

PQ = PX + XQ = 27 + 27 = 54

Step-by-step explanation:

Since X is the midpoint of PQ , then

PX = QX ( substitute values )

4x + 15 = 7x + 6 ( subtract 4x from both sides )

15 = 3x + 6 ( subtract 6 from both sides )

9 = 3x ( divide both sides by 3 )

3 = x

Then

PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27

XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27

PQ = PX + XQ = 27 + 27 = 54

Hence, the correct answers are: PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27

XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27 PQ = PX + XQ = 27 + 27 = 54

Other Questions
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