MATHEMATICS HIGH SCHOOL

Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is Xavier's number?

Answers

Answer 1
Answer:

Answer:

x=1

Step-by-step explanation:

9+4x=15-2x

9+6x=15                    Add two to both sides

6x=6                        divide by 6

x=1
Answer 2
Answer:

Answer:

-12

Step-by-step explanation:

I set it up as an equation based on the word problem you gave me

So

2n - 15 = 4n + 9

Combine like terms

-2n = 24

Isolate the variable n

-2n/-2 = 24/-2

n = -12

To check your work replace the n with -12

2(-12) - 15 = 4(-12) + 9

-24 - 15 = -48 + 9

-39 = -39

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Alison is saving for retirement. Her company matches what she puts into her 401K in a ratio of 2:3. If she puts in $400 each month, how much in total is put into her 401k each month?A) $200
B) $800
C) $600
D) $1,000

Answers

Answer:

D) $1000

Step-by-step explanation:

Her company is using a ratio of 2:3 of what she is putting into her account. That means that for every two dollars that she puts into her 401K , the put in three dollars.

Therefore, if she puts away $400 each month:

2 : 3

400 : 600

Her company will pay $600 into her 401K.

That gives her a total of:

400 + 600 = $1000
id say B...............

A group of children, 6 to 10 years old, were asked how many video games they owned. The scatter plot shows the results.What is the child’s age for the outlier?

Answers

the answer is 10.Think of the outlier as in the dot that's off-topic out of the entire graph. 

What is the value of x in the equation −6 + x = −2?8

4

−4

−8

Answers

B. = 4

How do you Find X in an equation?

angle A + angle B + angle C = 180 degrees. Solve for x in the fractions, we simply do the cross multiplication or simplify a equation by find x. For example: Solve for x for the equation ⇒ 2/5 = x/10. We could use the system of the equations solver to find the value of x when we have equations with different variables.

Given −6 + x = −2

We have to solve for x

-6 + x = -2

x = -2 + 6

x = 4

Learn more about  Find X in an equation here brainly.com/question/3413771

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-6 + x = -2

first, add 6 to both sides.

x = -2 + 6
x = 4

the gathering of information about public opinion by questioning a representative sample of the population is

Answers

Answer:

polling

Step-by-step explanation:

4. Find the distance between the two points. Round to the nearest tenth if necessary.(-2, -1) and (3, 5).

Answers

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

Distance = \sqrt{(x1-x2)^(2) + (y1-y2)^(2) }

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

x1 = -2 , y1 = -1 , x2 = 3, y2 = 5

Distance = \sqrt{((-2)-(3))^(2) + ((-1)-(5))^(2) }

Distance = √(61)

Distance = 7.8102 units

To the nearest tenth, Distance = 7.8 units

Yuto left his house at 10 a.m. to go for a bike ride. By the time Yuto’s sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, over what time period in minutes, t, starting from when Riko left the house, will Riko be behind her brother?Riko will be behind Yuto when 0 ≤ t <________ minutes.

Answers

-- When Riko left the house, Yuto was 5.25 miles ahead of her. 

-- From the time she left the house, she gained (0.35 - 0.25) = 0.1 mile on Yuto
every minute ... closing the gap at the rate of 0.1 mile per minute.

-- If she can keep it up, she'll close the gap in (5.25 / 0.1) = 52.5 minutes.

-- Riko is behind her brother when  0 ≤ t < 52.5 minutes .

Answer:

52.5

Step-by-step explanation:

e2020
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