Point P is on line segment OQ. Given OQ = 4x + 2, PQ = 4x – 10, and
OP = 3x – 3, determine the numerical length of OQ.

Answers

Answer 1

Answer:

22

Step-by-step explanation:

Since, Point P is on line segment OQ.

[tex]\therefore O - P - Q\\\\

\therefore OP + PQ = OQ\\\\

\therefore 3x - 3 + 4x - 10 = 4x + 2\\\\

\therefore 7x - 13 = 4x + 2\\\\

\therefore 7x - 4x = 2 + 13\\\\

\therefore 3x = 15\\\\

\therefore x = \frac{15}{3}\\\\

\huge \purple {\therefore x = 5} \\\\

OQ = 4x + 2 = 4\times 5 + 2 = 20 + 2\\\\

\huge \orange {\boxed {OQ = 22}} [/tex]

Answer 2

Answer:

OQ=5

Step-by-step explanation:

The formula:

OP+PQ=OQ

Fill in the values for each segment using the values given:

3x-3+4x-10=4x+2

OP^   PQ^    OQ^

Simplify by adding like terms:

3x-3+4x-10=4x+2

7x-3-10=4x+2

add 13 to the right to isolate the variable:

7x-13=4x+2

   +13     +13

7x=4x+15

subtract 4x to the left to isolate the variable:

7x=4x+15

-4x -4x

3x=15

Divide both sides by 3 to get the variable by itself:

3x=15

3    3

x=5 so OQ=5


Related Questions

Which linear function represents the line given by the point-slope equation y + 7= -2/3 (x+6)

A) f(x) = -2/3x – 11

B) f(x) = -2/3x -1

C) f(x) = -2/3 + 3

D) f(x) = -2/3 + 13

Answers

[tex]y + 7 = - \frac{2}{3}(x + 6) \\ [/tex]

[tex]y + 7 = - \frac{2}{3}x - 4 \\ [/tex]

Subtract sides -7

[tex]y = - \frac{2}{3}x - 4 - 7 \\ [/tex]

Thus ;

[tex]y = f(x)= - \frac{2}{3}x - 11 \\ [/tex]

So the correct answer is (( A )) .

is 800 cm greater than 8 cm

Answers

Answer:

100

Step-by-step explanation:

Simplify the following equations please:)
1. 2n - 4 + 6n
2. -15 + 9m
3. 19a - 7 - 3a + 12a
4. 6(x - 3) + ( 2x - 9)
5. (3x + 8) - 6 (2.5x - 3)

Answers

Answer:

1. n = 1/2

2. m = 5/3 or 1 2/3

3. a = 1/4

4. x = 27/8

5. x = 13/6

Step-by-step explanation:

I'm just going to explain step 5 as that is what you specifically needed help with.

First, simplify the second term of the equation:

-6(2.5x-3)

= -15x + 18

(this was done by multiplying -6*2.5x which is 15x and -6(-3) which is 18)

Now, add this simplified second term back to the first term:

3x + 8 - 15x + 18

(the parentheses are unnecessary now because it is all just addition and subtraction, so the order doesn't matter)

Simplify:

-12x + 26 = 0

= -12x = -26

= x = -26/-12

=   x = 13/6

2) y>-x+3
3
y<-x-1
Graph

Answers

Answer:

 

lokjhbvcvbnmjkl;;lkhhhvfbbbbbbbbbbbbbbbbbbbbbbbb

 

I need help fast thank you

Answers

9/50 is the simplest form because you can’t make it any smaller

21 is what percentage of 30?

Answers

Answer:

.7

Step-by-step explanation:

30/.7 is 21

Answer:

.7

Step-by-step explanation:

21/30=.7

What’s the answer to this

Answers

Answer:

√3

Step-by-step explanation:

√1 is an imaginary number, not lying anywhere on a real numberline

√2 is an irrational number

√3 is an irrational number, but can be expressed as a fraction; 3=31=62=124 (so yes, it is a rational number)

√5 is an irrational algebric number

answer is √3, you welcome

Help, please
Giving you 39 points!!

Answers

Answer:

n = 10

Step-by-step explanation:

The triangles are equal by SSS theorem, therefore the 2 angles given with a variable must be equal.

Blueberries cost $4.00 per pound.

1. How many pounds of blueberries can you buy for $1.00?

Answers

Answer:

1/4 of a pound

Step-by-step explanation:

Because if 1 pound costs 4 dollars then you want to buy some blueberries for 1 dollar, you split the blueberries into fourths

To graph ( -5,-8 ) after you go left 5 units what direction will.you have to go

Answers

Answer:

next direction would be 8 units down

The equation = ( + ) can be used to calculate the distance, , traveled by a body moving with a stv0atsuniform acceleration, , in time, , where is the initial velocity of the body. The steps to solve the equation atv0for are:v0Step 1: = + v0atStep 2: − = atv0Which properties are applied to obtain step 1 and step 2?multiplication property of equality and subtraction property of equality
(A) division property of equality and addition property of equality
(B) multiplication property of equality and addition property of equality.
(C) division property of equality and subtraction property of equality

Answers

RIGHT ! Somebody help

convert 96 ounces into pounds and explain how you determined your answer.

Answers

96 oz = 6 pounds. 1 pound equals 16 oz. you can find the answer for this problem by 96 divided by 16 = 6 POUNDS. If you could mark me brainliest it would be amazing for my work

96 oz is equivalent to 6 pounds .

Given,

96 ounces.

Conversion of ounces to pounds ,

Now the conversion is as follows:

For this case we have to know the following conversions:

1 ton = 2204.62 pounds

1 oz = 0.0625 pounds

Here,

1 oz = 0.0625 pounds

96 oz = 96 *0.0625 pounds

96oz = 6 pounds .

Hence 96 ounces is equal to 6 pounds .

Know more about conversion,

https://brainly.com/question/10513954

#SPJ6

For the expression 34- 34a to have a negative​ value, what must be true about the value of a ​?

Answers

Answer:

a>0

Step-by-step explanation:

if a is negative then the subtraction sign would switch. therefore, for the expression to have a negartive value a must be greater than 0

plz help i'm adding some extra points will report if u don't actually answer the question

Answers

Answer:

[tex]-4x^2-x-19=0[/tex]

Step-by-step explanation:

Standard Form:

[tex]ax^2+bx+c=0[/tex]

Solve:

[tex]-4x^2-19=x[/tex]

Subtract x from both sides, then make standard form:

[tex]-4x^2-x-19=0[/tex]

To rent a jet ski the Delta Water company charges a flat fee of $25 plus $7.50 per hour. If you rented a jet ski for a day of fun and were charged $70, how many hours did you rent the jet ski for?

ASAP!!! BRAINLIEST!!
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!

Answers

You were using it for 6 hours because 70-25 is 45 and if you divide 7.50 and hour and 45 it’s 6

Answer:

6 hours

Step-by-step explanation:

$25 + $7.50x = 70

first subtract the flat fee of 25 from 70 to get $45.

then divide 45 by $7.50 to get the total hours spent

45 divided by 7.50 is 6

Hope this helps!

Which is better tacos or cheeseburgers

Answers

Answer:

tacos bro :P

Step-by-step explanation:

Answer:

I like taco's better.. :D

Step-by-step explanation:

You can send and receive text messages on your cellphone for $0.12 a message your cellphone provider also offers a plan for an unlimited number of messages for $4 per month. How many text messages must you send and receive a month to make the unlimited plan a better buy?

Answers

Answer:

33.333

Step-by-step explanation:

Lena told her mother that the jeans that she bought were on sale for 10 percent off and she had saved $8.25 on them.

Percents
Total
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
100%
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25
$8.25


Lena’s mother wanted to know the price of the jeans before the discount to determine if Lena was shopping for jeans that were too expensive. What was the price of the jeans before the discount?
$41.25
$74.25
$82.50
$90.75

Answers

Answer:

The answer 80.25! Let me know if it is wrong!

Hope you do great!

Step-by-step explanation:

Answer:

82.25 but on the quiz it says 82.50

Step-by-step explanation:

Which of the following could be scaled copies of rectangle A with measures 8 in by 12 in?.
A. 16 in by 28 in
B. 4 in by 6 in
C. 36 in by 48 in
D. 24 in by 40 in
E. 16 in by 9 in

Answers

Answer:

B: 4in by 6in

Step-by-step explanation:

4 is half of 8 and 6 is half of 12

The number can be best described as a(n)

Answers

Answer:

Fraction

Step-by-step explanation:

Given m|| n, find the value of x.

Answers

Answer:

125

Step-by-step explanation:

A straight angle os 180 degrees if you subtract 180 to 55 you get 125 degrees its basic math really.

10000 rounded nearest 10

Answers

10000 is already a whole number, you can’t round it anymore

I don’t know if you meant scientific notation, which would be

10000 = 1 x 10^4

if k = -3 what is the value of k + (2k - 10) ?

A. –19
B. –7
C. 1
D. –14

Answers

Answer:

A

Step-by-step explanation:

We have the expression [tex]k+(2k-10)[/tex]

We want to find the value when k is -3. So, substitute -3 for k and evaluate:

[tex]\Rightarrow (-3)+(2(-3)-10)[/tex]

Multiply:

[tex]=-3+(-6-10)[/tex]

Subtract:

[tex]=-3+(-16)[/tex]

Add:

[tex]=-19[/tex]

Therefore, our answer is A.

Juan chooses 4 items for his main course, 1 drink, and 1 dessert in a restaurant. The total cost of the meal is $9.80. Each main course item costs $1.10 and the dessert costs 50¢ more than the drink.

Let d represent Juan's dessert and r represent his drink.

Select True or False for each statement

Answers

Answers:

A) TrueB) FalseC) FalseD) TrueE) True

===========================================

Explanation:

The two items given

"Juan choses 4 items for his main course""each main course item costs $1.10"

tells us that he spends 4*1.10 dollars on just the main course items. So that's why choice A is true.

-----------

From part A, we know that Juan spends 4*1.10 = 4.40 dollars on just the main course items. We also know the total cost of the meal is $9.80

This leaves 9.80 - 4.40 = 5.40 left over

Meaning that $5.40 is spent on dessert and drinks

The equation in part B is close, but the 4.40 should be 5.40 instead.

Choice B is false

-----------

"The dessert costs 50 cents more than the drink" means

r = d+0.50

Whatever the drink costs (d), we add on 50 cents or $0.50 to get the cost of the dessert (r). This is why choice C is false.

-----------

The system of equations we have so far is

[tex]\begin{cases}5.40 = d+r\\r = d+0.50\end{cases}[/tex]

Start with the first equation, plug in r = d+0.50, and solve for d

5.40 = d+r

5.40 = d+d+0.50

5.40 = 2d+0.50

2d+0.50 = 5.40

2d = 5.40-0.50

2d = 4.90

d = 4.90/2

d = 2.45

Each drink costs $2.45, so choice D is true because Juan only bought one drink.

-----------

Lets use this value of d to find r

r = d+0.50

r = 2.45+0.50

r = 2.95

Each dessert costs $2.95, making choice E true as well (since he only bought one dessert).

What’s the equation of the line?

Answers

Answer:

where's the line?

There is no picture uploaded

Step-by-step explanation:

Explique, de forma resumida, o significado dos números que expressam porcentagens nas orações a seguir. A) 10% dos alunos de uma escola não têm animal de estimação. B) 19% dos livros de uma biblioteca precisam ser catalogados. C) Segundo a Pesquisa Nacional por Amostra de Domicílio (Pnad), divulgada pelo Instituto Brasileiro de Geografia e estatística (IBGE), 51% da população brasileira é constituída por mulheres.

Answers

Answer:

Hola como esta xd lol what

The formula to convert temperature measurements from degrees Fahrenheit (F) to degrees Celsius (C) is shown below.

C = 5/9(F - 32)

What is the Celsius equivalent of 90 degrees Fahrenheit? Round the answer to the nearest degree.

A. 16
B. 32
C. 64
D. 88

Answers

Letter B could possibly be the answer
I think it’s b
I could be wrong

5y + 2(11 - 4y) = 82 + y
Help Needed Asap

Answers

Answer:

y=−15

Hope this helps! Please mark Brainliest!

Answer:

y = -15

Step-by-step explanation:

5y + 2(11 - 4y) = 82 + y

open parenthesis

5y + 22 - 8y = 82 + y

-3y + 22 = 82 + y

add 3y to both sides of the equation

-3y + 22 + 3y = 82 + y + 3y

22 = 82 + 4y

subtract 82 from both sides of the equation

22 - 82 = 82 + 4y - 82

-60 = 4y

divide both sides by 4

-60/4 = 4y/4

-15 = y

I need Your help plish​

Answers

Answer:

5

Step-by-step explanation:

Because there is zones

How do you understand
% ahh!!!

Answers

Answer:

what

Step-by-step explanation:

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