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3 years ago

13

Write an equation that could be used to solve the given problem: if twice a number is increased by 15 , the result is the same a

s when 10 is subtracted from the number.

2 answers:

Semmy [17]3 years ago

7 0

Equation 2X+15= X-10

X=-25

My name is Ann [436]3 years ago

5 0

2x+15=x-10 . It helps to read these problems out loud and then try to write out the equation :)

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The sum of the area of 2 circles is 80pi square meters. Find the length of a radius of each circle if one of them is twice as lo

IgorC [24]

80p=pr^2+p(2r)^2
80p=pr^2+4pr^2
80=r^2+4r^2
80=5r^2
16=r^2
r=4 for the smaller circle´s radius, and 8 is the larger circle´s radius.

Have a nice day, I hope this was helpful :D

8 0

3 years ago

Read 2 more answers

Match each radical equation with the corresponding value of x

Radda [10]

64^(4/3)
= 256

32^(3/5)
= 8

625^(3/4)
= 125

81^(5/4)
= 243

4 0

3 years ago

Read 2 more answers

What is the value of n in the equation 0.2(n - 6) = 2.8?<br> (1) 8 (3) 20<br> (2) 2 (4) 44

Vera_Pavlovna [14]

So,

0.2(n - 6) = 2.8

Distribute.
0.2n - 1.2 = 2.8

Add 1.2 to both sides.
0.2n = 4

Divide both sides by .2.
n = 20

Check.
0.2(20 - 6) = 2.8

Simplify inside parentheses.
0.2(14) = 2.8

Multiply.
2.8 = 2.8 This checks.

S = {2.8}

3 0

2 years ago

According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and st

Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 507, \sigma = 111$

Find the actual SAT-M score marking the 98th percentile

This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So

$Z = \frac{X - \mu}{\sigma}$

$2.054 = \frac{X - 507}{111}$

$X - 507 = 2.054*111$

$X = 735$

8 0

3 years ago

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the

maxonik [38]

The students rented 4 small cars and 8 large cars.

Step-by-step explanation:

Given,

Number of people in small car = 4

Number of people in large car = 7

Total people in both type of cars = 72

Let,

x represent the number of small cars rented.

y represent the number of large cars rented.

According to given statement;

4x+7y=72 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$4x+7(2x)=72\\4x+14x=72\\18x=72$

Dividing both sides by 18

$\frac{18x}{18}=\frac{72}{18}\\x=4$

Putting x=4 in Eqn 2

$y=2(4)\\y=8$

The students rented 4 small cars and 8 large cars.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago