K is between P and Q. Suppose PQ- 10x - 16, PK - 6x + 8, and KQ-8. What is PQ?

Answers

Answer 1

Answer:

PQ = 64

Step-by-step explanation:

PQ = PK + KQ

10x - 16 = 6x + 8 + 8

10x - 16 = 6x + 16

4x = 32

x = 8

PQ = 10(8) - 16

     = 80 - 16

     = 64


Related Questions

A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the same amount of bird food as hamster food. He needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Byron orders 600 packages of animal food, how much dog food does he buy? Let b represent the number of packages of bird food Byron purchased for the pet store.

Answers

Answer:

300 bags of dog food

Step-by-step explanation:

4b + 2b + b + b = 600

(dog) + (cat) + (bird) + (hamster) = 600

8b = 600

b = 75

Byron purchased 75 bags of bird food. He needs 4 times that of dog food. So, he purchased 300 bags of dog food.

Cara monitors a snail in her aquarium. She notes that this morning it crawled 1 inch up the glass. A few hours later it crawled another 2 inches up the glass. Later it crawled 4 inches down the glass. How far is the snail from where it started?

Answers

1" below where it started

The equation needs to be fully factored and I need some help

Answers

Answer:

4y^2(y+4)(y-4)

Step-by-step explanation:

Answer:

[tex]4y^2(y+4)(y-4)[/tex]

Step-by-step explanation:

Factor [tex]4y^2[/tex] out of the equation

[tex]4y^2(y^2-16)[/tex]

Rewrite 16 as [tex]4^2[/tex]

Factor.

[tex]4y^2(y+4)(y-4)[/tex]

hope this helps :)

Plsssssssssssssss help

Answers

Answer:

B

Step-by-step explanation:

The sum of two numbers is 55. The smaller number is 13 less than the larger number. What are the numbers?

Answers

Answer:

21 and 34.

Step-by-step explanation:

21 is 13 less than 34 and the sum of them is 55.

workout 4 1/7 + 1 1/2

Answers

Answer:

Take 2 1/7 - first multiply the denominator by the whole number to give 14 and now add the numerator to this number to get 15 - the fraction in improper form is 15/7. Do the same process with 1 1/4 - so 4 x 1 = 4 and now 4 + 1 = 5 - the new fraction is 5/4.

Step-by-step explanation:

Sum of given fraction is [tex]5\frac{9}{14}[/tex]

Given fraction;

[tex]4\frac{1}{7} + 1\frac{1}{2}[/tex]

Find:

Sum of given fraction

Computation:

[tex]4\frac{1}{7} + 1\frac{1}{2}\\[/tex]

Simplify given mixed fraction into simple fraction

[tex]\frac{29}{7} + \frac{3}{2}[/tex]

By taking LCM of Denominators

[tex]\frac{58 + 21}{14}[/tex]

[tex]\frac{79}{14}[/tex]

Change simple fraction into mixed fraction

[tex]5\frac{9}{14}[/tex]

Learn more:

https://brainly.com/question/18134643?referrer=searchResults

Multiply. Enter the product in simplest form.
uIN
=
9/10 multiplied 2/5

Answers

Answer:

When multiplying fractions, multiply the top number by the top number, and the bottom number by the bottom number.

So we have: (9x2)/(10x5).

This simplifies to: 18/50, or 9/25.

Let me know if this helps!

Can someone please help me with this

Answers

4, 5, and 7 are correct answrts :)

Answer:

I would say 7, because if you think about you would know that your answer is 7

Hello I'm Chloe Can you Help me, Thank you :)
y varies proportionally with x. When x = 2, y = 18.
What is the constant of proportionality for this relationship?

Answers

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

Zara bought 150 pairs of shoes
for $6000 , She sold 100 of them
for $50 each and the remaining 50 for $55 each - How much profit
did she make altogether

Answers

zara profited 1750 dollars

required profit=$1750

cp=$6000

sp1=100×$50=$5000

sp of remaining sp2={150-100}×$55=50×55=$2750

profit={sp1+sp2}-cp=$5000+$2750-$6000=$1750

Which function is f(5) for the function -2x^2+2x-3

A: -107
B: -63
C: -43
D: -37

Answers

Answer:

The answer is C.

Step-by-step explanation:

It’s so early my mind can’t comprehend basic math, what does this mean.

Answers

Answer:

Explanation: The words "more than" in mathematical terms refer to the process of addition. In this case, we need to have 8 more than x , or x+8 . Hence, the answer, x+8

f(x) = 3x + 8
fl-1) = ?

Answers

3(-1)+8=5
The answer is x=5

the product of 3 and 12

An expression is .

Answers

Answer:

36

Step-by-step explanation:

Answer:

do gk his to him hif to ycj be ljpidtzu

Step-by-step explanation:

Visit us at our website at the time of year again in the United Arab Republic and the best in the United States is the youngest daughter is in no uncertain future of our most important your own badge showing photos in. The time to get aoajjwhsja

i need help with the last questions I posted

Answers

How do I go to see them? Or is there a way to put them under this comment

Can someone tell me what 5/6 x 9/10 is and explain it please don’t just give me a answer

Answers

How this is solved is by

Multiply 5/6 with 9/10
This multiplication involving fractions can also be rephrased as "What is 5/6 of 9/10?"

5
6
×
9
10
is
3
4
.

Steps for multiplying fractions

Simply multiply the numerators and denominators separately:
5
6
×
9
10
=
5 × 9
6 × 10
=
45
60
After reducing the fraction, the answer is
3
4
Or 3/4

PLEASE HELP WITH MY MATH ON MY PAGE/ACCOUNT

Answers

Answer:

what you need help with

Step-by-step explanation:

Which of the following will NOT make a triangle? *
5 inches, 5 inches, 5 inches
4 inches, 4 inches, 3 inches
16 cm, 17cm, 18cm
4 cm, 12 cm, 25 cm

Answers

16mc, 17cm, 18cm. because they are big numbers it will probbably go over

Zena wants to paint a rectangle on a wall to serve as the background for a mural. She has enough paint to cover 38.25 square feet of wall space. If the width of the rectangle is 4.5 feet, what is its maximum length? a 33.75 ft b 8.5 ft c 38.25 ft d 4.5 ft

Answers

Answer:

8.5 feet.

Step-by-step explanation:

it is 38.25 / 4.5

Answer:

8.5

Step-by-step explanation:

(I’ll give brainliest) Jack designed a bridge that would be 0.2 miles long and 3/5 of the bridge has been built. How long is the section of the bridge that is finished? Show how you know.

Answers

Answer: 0.12

Step-by-step explanation: Well since 5/5=1 and in this case 3/5 of 0.2 or

3/5 x 0.2 = 0.12miles of the bridge is finished. to check do 0.2*2/5 since 2/5+3/5=5/5 or the total 0.2miles. so 0.2*2/5 =0.8 and 0.8+0.12= 0.2

HELP PLEASE


Select the equivalent expression.

Answers

Answer:c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Express with positive exponent:

(6^2/z^4)^3

Evaluate:

6^6/z^12

7. Which set of ordered pairs represents a function?
A) {(-2,1),(-1,0). (1,-1), (2,-2), (3,-3)}

B) {(-2,57, (-2,5), (-2,7),(-2,9), (-2,11)}

C) {(1,5), 7,2), (9,1), (9,7), (2,7)}

D) {(-4,0), (-2,1),(0,2), (-2,4), (-4,6)}

Answers

C I hope it’s right :)

1_Escribe cómo se lee los siguientes números.


789.406=

973.002=

1003.576=

3.322.010=​

Answers

Answer:

setesientos ochenta y nueve mil cuatrosientos seis

novecintos setenta y Tres mil dos

un millon Tres mil quinientos setenta y seis

tres millones tresientos veintidos mil diez

:)


f(x) = 2(x + 3)^2 – 6
Find the standard form and the y intercept. Please

Answers

Answer:

f(x) = 2x² + 12x + 12; y-intercept is 12

Step-by-step explanation:

f(x) = 2(x + 3)² - 6

This equation is in point slope form. We want to put it in standard form.

According to PEMDAS (parentheses/exponents | multiplication/division | addition/ subtraction), we should solve the exponent first. (the expression in the parentheses is as simplified as possible).

(x + 3)² → (x +3)(x + 3)

To solve this, we need to FOIL (first | outer | inner | last)

F: x²

O: 3x

I: 3x

L: 9

Combine these terms.

x² + 3x + 3x + 9

x² + 6x + 9

Plug this expression back into your original equation.

f(x) = 2(x + 3)² – 6 → f(x) = 2(x² + 6x + 9) - 6

Next, we will distribute the 2 across the parentheses.

f(x) = 2x² + 12x + 18 - 6

Then, combine like terms. (18 & 6)

f(x) = 2x² + 12x + 12

This is your equation in standard form.

Now we want to find the y-intercept. The y-intercept is the y-value when x = 0. Therefore, we need to plug in x = 0 to the equation.

f(x) = 2x² + 12x + 12

f(x) = 2(0)² + 12(0) + 12

Follow PEMDAS again.

[exponents] → f(x) = 2(0) + 12(0) + 12

[multiplication] → f(x) = 0 + 0 + 12

[addition] → f(x) = 12

Your y-intercept is 12.

Hope this helps!

While shopping at Best Buy, you find the brand new laptop you have been wanting. The laptop originally costs $189.99 but is marked for 25% off. Find the discount amount and the new purchase price of the laptop before taxes.

Answers

Answer:

$142.49

Step-by-step explanation:

1. 25% = 0.25

2. 189.99 × .25 = 47.4975

3. 189.99 - 47.4975 = 142.4925

4. $142.49

Quadrilateral GHIJ is a square. What is the measure of angle FGJ?

Answers

Answer:

its symetrical i think

Step-by-step explanation:

Answer: itis a triangle

Step-by-step explanation:

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic books is 4 more than the number of $0.75 comic books. Find the number of each type in the pack.

Answers

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

[tex]\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.[/tex]

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

What is the slope that is parallel to -2x + 7y = 12?

Answers

Answer:

I love math anyways

The ans is in the picture with the steps how i got it

(hope it helps i plz have brainlist :D hehe)

step-by-step explanation:

what are two fractions that equal -7/10?

Answers

Answer:

-14/20

-21/30

Step-by-step explanation:

-7/10

-7x2=-14 and -10x2=-20

-14/20

-7/10

-7x3=-21 and -10x3= -30

-21/30

I NEED HELP PRONTO!! THIS IS FOR A MIDTERM!!!!


The Johnson and Sloan families went to Taco Mania for lunch. The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How much does each meal cost?

Answers

Answer:

Each burrito meal cost 8$

Each taco meal cost 6$

Step-by-step explanation:

Johnsons= 3b +4t =48

Sloans= 6b+2t=60

multiple johnsons by -2

so, now the johnsons are -6b+-8t=-96

add that to the sloans so, -6b+6b-8t+2t=-96+60

the b's cancel eachother out, so you are left with -6t= -36

divide each side by -6 and you will get t=6

then you can pick either formula, lets say sloans this time

so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48

so 6b=48, divde each side by 6 and you will get b=8

Step-by-step explanation:

Answer:

Tacos-6

Burritos-8

Step-by-step explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3b+4t=48)

1(6b+2t=60)

Becomes:

−6b−8t=−96

6b+2t=60

Add these equations to eliminate b:

−6t=−36

Then solve−6t=−36for t:

−6t=−36

−6t

−6

=

−36

−6

(Divide both sides by -6)

t=6

Now that we've found t let's plug it back in to solve for b.

Write down an original equation:

3b+4t=48

Substitute6fortin3b+4t=48:

3b+(4)(6)=48

3b+24=48(Simplify both sides of the equation)

3b+24+−24=48+−24(Add -24 to both sides)

3b=24

3b

3

=

24

3

(Divide both sides by 3)

b=8

Answer:

b=8 and t=6

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