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3 years ago

Use the distributive property to simplify the algebraic expression. (n + t)r

1 answer:

5 0

When it says to use distributive property, it means that you are going to "distribute" a variable and/or number to others.
To solve this (n+t)r .... then you would multiply "r" to "n" and then to "t".
It would end up looking like this... nr+tr .
This is your final answer because nothing else can be done to it. :)
I hope I helped you understand.

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Find the value of x.

Colt1911 [192]

Answer:

x = 16 2/3

Step-by-step explanation:

The altitude divides the triangle into similar triangles. We can form the ratio between the hypotenuse and the short leg for two of the triangles. Those ratios will be a proportion:

10/6 = ((x-6) +6)/10

100/6 = x . . . . . multiply by 10 and simplify

x = 16 2/3

7 0

3 years ago

Solve this right now for a billion dollars

Tema [17]

Answer:

Step-by-step explanation:

Simplifying

2.1x + -5.7 = 3.9(4.3 + -1.8x)

Reorder the terms:

-5.7 + 2.1x = 3.9(4.3 + -1.8x)

-5.7 + 2.1x = (4.3 * 3.9 + -1.8x * 3.9)

-5.7 + 2.1x = (16.77 + -7.02x)

Solving

-5.7 + 2.1x = 16.77 + -7.02x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7.02x' to each side of the equation.

-5.7 + 2.1x + 7.02x = 16.77 + -7.02x + 7.02x

Combine like terms: 2.1x + 7.02x = 9.12x

-5.7 + 9.12x = 16.77 + -7.02x + 7.02x

Combine like terms: -7.02x + 7.02x = 0.00

-5.7 + 9.12x = 16.77 + 0.00

-5.7 + 9.12x = 16.77

Add '5.7' to each side of the equation.

-5.7 + 5.7 + 9.12x = 16.77 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0

0.0 + 9.12x = 16.77 + 5.7

9.12x = 16.77 + 5.7

Combine like terms: 16.77 + 5.7 = 22.47

9.12x = 22.47

Divide each side by '9.12'.

x = 2.463815789

Simplifying

x = 2.463815789

5 0

3 years ago

Read 2 more answers

450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (

umka21 [38]

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.7}{2} = 0.15$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.15 = 0.85$ , so Z = 1.037.

The margin of error is of:

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that $\sigma = 0.21$

Sample of 450:

This means that $n = 450$

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.037\frac{0.21}{\sqrt{450}}$

$M = 0.01$

The margin of error is of 0.01.

4 0

3 years ago

I desperately need help ILL GIVE BRAINLIEST AND 50 points

otez555 [7]

is this like Algebra 1 or 2? you can try to use a graph generator to help

5 0

3 years ago

On your tenth birthday, you received 500 which you invested at 9.5% interest, compounded annually. your investment is worth $250

igomit [66]

Compounded once a year: A=P(1+r)^t
2500=500(1+0.095)^t
1.095^t=5
because the unknown number is an exponent, use log to find the unknown:
log(1.095^t)=log5
tlog1.095=log5
t=log5/log1.095
use your calculator, t=17.734
so this person is about 28 years old.

6 0

3 years ago