MATHEMATICS MIDDLE SCHOOL

Which of the following are solutions to the equation below? Check all that apply.(3x + 4)2 = 14

A. x= - √14/3 -4
B. x= - √10/3
c. x= √14-4/3
d. x=√10/3
e. x= - √14-4/3
f. x= √14/3-4

Answers

Answer 1
Answer:

(3x + 4)2 = 14

(3x + 4)2 means that 2 will multiply both 3x and 4

2 * 3x = 6x 2 * 4 = 8

6x + 8 = 14

Move +8 to the other side of the equation

6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -

6x = 14 - 8

6x = 6

Divide both sides by 6 because of the 6 beside the x : 6x

6x/6 = 6/6

x = 1

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The ratio of adults to children at a picnic is 4 to 5. The total number of people at the picnic is 27. How many adults and children are at the picnic? Include steps.

Answers

There are 12 children and 15 adults at the picnic.

Add together the ratios 4 and 5 and divide the amount of people by that number (so 27 divided by 9)

You then get 3. So then multiply both sides of your ratio by 3. (4:5 ----> 12:15)

Hope this helps a little.

Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours explain why the relationship between how much Steven charges and time is a proportional relationship.

Answers

The relationship between the amount of money Steven charges and the time he spends babysitting is proportional because the hourly rate remains constant.

What is the proportional relationship?

A proportional relationship between two variables means that the ratio of the two variables is constant. In other words, if the independent variable (time in this case) increases, the dependent variable (the amount of money Steven charges) will increase proportionally.

In this situation, we can see that the relationship between the amount of money Steven charges and the time he spends babysitting is proportional because the rate of change between the two variables is constant.

For example, Steven charges $31.25 for 5 hours, so his hourly rate is $31.25/5 = $6.25/hour.

And he charges $50 for 8 hours, so his hourly rate is $50/8 = $6.25/hour.

Since the hourly rate remains constant, the relationship between the amount of money Steven charges and the time he spends babysitting is proportional.

Learn about the proportional relationship here :

brainly.com/question/29765554

#SPJ5
You should divide $31.25 by 5 and $50 by 8 and then see how the realationship are similar

(0,9) is rotated 90 degrees clockwise about (0,0). What is the new point?

Answers

(9,0)...................

Sam is moving into a new apartment. Before he moves in, he has to pay his landlord the first month's rent and a security deposit 1.5 times that of the monthly rent. If he pays the landlord $3275 before he moves in, what is the monthly rent?

Answers

The monthly rent will be $1310

Let the monthly rent be represented by x.

Since the security deposit is 1.5 times that of the monthly rent, then the security deposit will be: = (1.5 × x) = 1.5x

Then the monthly rent will be calculated thus:

(1.5x + x) = $3275

2.5x = $3275

Then, we'll find the value of x

x = $3275/2.5

x = $1310

Therefore, the monthly rent will be $1310.

Read related link on:

brainly.com/question/16450098
x = monthly rent
x + 1.5x = 3275
2.5x = 3275
x = 3275/2.5
x = 1310 <== rent

1.5(1310) = 1965 -- security deposit


check...
1310 + 1965 = 3275
3275 = 3275 (correct)

so his monthly rent is : $ 1310

Please help, I attached a photo.

Graph x<2

Answers

Your answer is the one on the top left

If 4x+5=0 what is the value of x​

Answers

Answer:

-5/4

Step-by-step explanation:

4x=-5

x=-5/4
The value of x is -5/4

Explanation:

4x+5=0 subtract 5 from both sides
4x=-5 divide both sides by 4
x=-5/4

Brainliest my answer if it helps you out?
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