There are two numbers that are twice as far away from 13 than 22. The sum of those numbers are?

Answers

Answer 1

Answer:

Sum of those numbers are 50

Step-by-step explanation:

Let x represent a number that is twice as far away from 13 than 22.

The number can't be less than 13 but will be between 13 and 22 or slightly more than 22 otherwise it will be far away from both.

Thus;

|x - 13| = 2|x - 22|

It's in absolute form, so we will square both sides to get rid of the absolute brackets.

Thus;

(x - 13)² = 4(x - 22)²

x² - 26x + 169 = 4(x² - 44x + 484)

x² - 26x + 169 = 4x² - 176x + 1936

4x² - x² - 176x + 26x + 1936 - 169 = 0

3x² - 150 + 1767 = 0

Using quadratic formula, we have;

x = 19 or x = 31

Thus,the sum of the 2 numbers = 31 + 19 = 50


Related Questions

PLEASEEEEE I NEED HELP!!!!!

Answers

Im pretty sure the answer is d

please please help me out no one helps me and i really need a lot of help this is due today!!!

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Answer:

here u go:

m-a-t-h-w-a-y is a good site if you need fast answers but it doesnt explain anything btw

2 Name a point that is in the solution set of the quadratic inequality shown
below.

Answers

Answer:

Point (3, 2) is in the solution set of the quadratic inequality

Step-by-step explanation:

If the sign of the inequality is > OR <, then the line represents the inequality is a dashed line and all the points on the line do not belong to the solution set of the inequality If the sign of the inequality is ≥ OR ≤, then the line represents the inequality is a solid line and all the points on the line belong to the solution set of the inequality

From the given figure

∵ The line the inequality is a solid line

The solution set of inequality have all the points on the line and

   the points on the shaded area

→ We can choose any point on the line or on the red area

∵ Point (3, 2) is the vertex of the parabola

Point (3, 2) is in the solution set of the quadratic inequality



What is the slope for the following equations? (use the format m=#)
(1 Point)
y = 1/5x -2
Enter your math answer

Answers

the slope of the equation is 1/5! when it is written in y=mx+b form, the slope will always be the term before x :)

Paris downloaded 14 songs priced at $0.99 each and 1 song for $ 1.29. She had a coupon for $ 2.50. What was the total amount Paris paid?


What do you need to find first?

Write an equation to represent the problem.

What is the solution to the problem?

Answers

Answer:

12.65$

Step-by-step explanation:

(14*0.99)+(1*1.29)-2.50=x

13.86+1.29-2.50=x

12.65=x

what is the exact amount of water our body contains?​

Answers

Answer:

Up to 60% of the human adult body is water.

Step-by-step explanation:

Answer:

73% water, and the lungs are about 83% water. The skin contains 64% water, muscles and kidneys are 79%, and even the bones are watery: 31%.

Step-by-step explanation:

What is the answer giving brainliest

Answers

Answer: im pretty sure it should stay the same so 125

Step-by-step explanation:

Angle of CBA is the angle

help me i need to finish this

Answers

Answer:

its both C and D

Step-by-step explanation:

Answer:

Please help me with my question no one has answered, and I have a whole module due by 3:45 that I haven't even started on.

What type of triangle has an exterior angle that is obtuse at two vertices? Explain your reasoning.​

Answers

Answer:

A right triangle

Step-by-step explanation:

A right triangle would meet these characteristics. A triangle's inner angles always add up to be 180 degrees. A right triangle has one angle at 90 degrees meaning the other two angles need to be less than 90 degrees and sum up to be 90 degrees. This would indicate that both of these angles' exterior angles would be obtuse because they would be wider than 90 degrees.

For the sequence below, explain the pattern in words.
14. 11. 8. 5....

Answers

Answer:

you subtract the number by 3

Step-by-step explanation:

the pattern is x-3 so the pattern is subtracting the number by 3 every time

Determine if the situation is linear or exponential and choose the correct equation to represent the situation. "Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. "​

Answers

Answer:

It's exponential and  the fiftth option, y = 128(1/2)^x

Step-by-step explanation:

can someone please help i’ve been stuck for like 30 minutes

Answers

Answer;

Angle EGF is 180-10x+15=195-10x. From the sum of angles in a triangle we know that 6x+15+195-10x+40=180. Thus the answer is x=35/2

The person above me is correct ^^ you should brainliest them !!

Which two lines are perpendicular?

A
2x−6y=−12

and

3x−y=−5

B
6x−15y=−60

and

2x−5y=10

C
2x+5y=7

and

−6x−15y=−21

D
y=2

and

2x−3y=10

E
2x−3y=12

and

3x+2y=10

Answers

Answer:

A

2x−6y=−12

Step-by-step explanation:

You start at -1, 1. Move left three units and right eight units. Where do you end?

Answers

Answer:

-1.1-.3=-1.4 -1.4+.8=-0.6

Step-by-step explanation:

4,1
Once you move 3 units to left you’re at -4,1 then 8 units to the right you’re at 4,1

what's the ANSWER to -5x+y+9-4x-8y+11

Answers

Step-by-step explanation:

-5x+y+9-4x-8y+11

-9x-7y+20

Please help me on this I-Ready task, I have no clue

Answers

Answer:

4.2 miles

Step-by-step explanation:

Using the pythagorean theorem, a^2 + b^2 = c^2

youll get 3.6^2 + 2.2^2 = 17.8

sqrt of 17.8 = 4.2

4.2, please mark the other person’s brainliest!

it's not 30 that's not an answer also i need help figuring it out please

Answers

Answer:

its $24 x 1.20 because 20%= 0.2. the answer is 28.8

Step-by-step explanation:

Answer:

28.80 (answer choice 3)

Step-by-step explanation:

20% of 24 is 4.8 not 9.6

4 questions 20 points please help

1) Identify whether the following situation represents causation: As the weather gets hotter, more bottled water is consumed.
A. yes
B. no
C. there is correlation not
causation
D. cannot tell

2) As the number of hours of watching TV increase, the scores students received on tests decrease. Is this an example of causation?
A. no
B. yes
C. this is an example of
correlation not causation
D. cannot tell

3) Identify whether the following situation represents causation: Exercising 45 minutes a day leads to weight loss.
A. yes
B.no
C. this is an example of
correlation
D. cannot tell

4) Identify whether the following situation represents causation: The price of a limited edition toy increases as demand increases.
A. yes
B. no
C. this is an example of
correlation
D. cannot tell

Answers

Answer:

1, A 2, b 3,D 4, c

Step-by-step explanation:

I think this are the answers

There are 120 slices of pizza in 12 pizzas. If there are the same number of slices in each pizza, how many slices of pizza are in 5 pizzas?

Answers

Answer:

50 slices

Step-by-step explanation:

120/12 is 10 per pizza, and there are 5 pizzas. 5pizzas x10 slices is 50 slices.

Hope this helps :D plz mark brainliest if correct

Answer:

50 slices

Step-by-step explanation:

Question 2 of 10
Simplify this expression:
(Look at the picture)

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

sqrt9= 9^1/2

9^1/2*2=9^1

=9

Don’t answer unless you’re 100% sure
Also, explain how you also got the answer.

Answers

Answer:

a ( copper and nickel

b ( 1034.9

Step-by-step explanation:

Add all the values of melting points

2,651 + -37.89 = 2613.11

2613 + -458 = 2155.11

2155.11 + 1984.32 = 4139.43

Divide the number by the number of numbers: 4139.43/4 = 1034.8575

1034.8575 rounded to the nearest tenth is 1034.9, thats how you find the mean, or the average.

The circumference of a circle is 78.5 inches.
What is the diameter of the circle? (Use 3.14 for pi)

Answers

Answer:

about 490.38

Step-by-step explanation:

Which value is an input of the function?

Answers

Answer:

x

Step-by-step explanation:

the value of x is the input and value of y is the output

Henry is making a corn grits recipe that calls for 14 cup of corn grits for every 12 cup of water.
How much water will he need if he uses 1 1/2 cups of corn grits?

Answers

Answer:

Im not sure right now ill answer back when i know

Step-by-step explanation:

Answer:

3/2 cups

pls give brainliest

simplify:6/root3
pls answer fast

Answers

2root3 should me your answer

Answer:

[tex]2 \sqrt{3} [/tex]

Step-by-step explanation:

[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{6 \sqrt{3 } }{3} = 2 \sqrt{3} [/tex]

d – 8 = 6

Don’t forget to show work

Answers

Answer:

d = 14

Step-by-step explanation:

d = 6 + 8

d = 14

I hope it helps you

Answer:

d = 14

Step-by-step explanation:

d - 8 = 6

  +8    +8

    d = 14

You basically do backwards PEMDAS but you do the opposite of each thing and when you do the opposite you cancel it out on the side it is on.

Plz help! Question is below! The first number is a negative (-1 4/5)

Answers

Answer issssss jajaj an 2 4/5

There are 20 girls and 26 boys on the tennis team,what is the ratio of numbers of girls to the total numbers of players on the team​

Answers

Answer:

20:46 or 20 to 46

Step-by-step explanation:

There are 20 girls on the team so theres your first number then you add the girls and boys to get the total number of players (46) and write out your ratio

Answer:

The answer is 20:46

Edward deposited $9,000 into a savings account 2 years ago. The simple interest rate is 4% How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest=$ 3.0. years
Please help

Answers

Answer:

$734.40

Step-by-step explanation:

y=9,000(1.04)^t is our equation for this.

The 9,000 is the starting amount.

1.04 is the 4% since 4% is 4/100 which equals 0.04, then we add 1 to that since it's increasing in value.

y represents our output.

t represents time (in years for this equation)

Since they give us the amount of years since he deposited the $9,000, we put the number they gave us (2 years) into the equation, replacing t.

y=9,000(1.04)^2

Put the right side into a calculator and it gives you 9734.4.

That's the total amount he has now, so to find how much he earned we subtract the starting amount (9000).

734.4.

Edward earned $734.40.

if E(3,6), F(1,0), G(-1,3) translated along the vector <-3,-2> what would be the new plots

Answers

Answer: need the options you choos frome

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The translation < - 3, - 2 >

Means subtract  3 ( a shift left ) from the x- coordinate and subtract -2 ( a shift down ) from the y- coordinate.

E(3, 6 ) → E'(3 - 3, 6 - 2 ) → E'(0, 4 )

F(1, 0 ) → F'(1 - 3, 0 - 2 ) → F'(- 2, - 2 )

G(- 1, 3 ) → G'(- 1 - 3, 3 - 2 ) → G'(- 4, 1 )

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