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3 years ago

Combine the like terms to make a simpler expression: -n + (-3) + 3n +5

1 answer:

3 0

Like terms are terms that have the same variable. In this equation, your like terms are terms with n and terms without n. Put the like terms next to each other in the expression.

-n + 3n + (-3) + 5

Now, combine -n and 3n the same way you would combine -1 and 3.

2n + (-3) + 5

Next, combine -3 and 5.

2n + 2

Since 2n and 2 aren't like terms, your final answer will be 2n + 2.

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a corner shelf is 1/4 of a circle and has a radius of 10.5 inches . Enter the area of the shelf in square inches . round your an

schepotkina [342]

First, find the area of the shelf if it were a full circle.
the formula for the area of a circle is a=pi(r squared)
a=pi (10.5 squared)
a=pi x 110.25
a=3.14 x 110.25
a=346.185
now, you have to divide that area by 4 to get the area of the 1/4 circle
346.185/4=86.55

5 0

3 years ago

Part A: Clancey and Ethan are starting new books. So far, Clancey has read 1/4 of his book, which has 240 total pages and Ethan

Nonamiya [84]

In order to find who has read more pages, let's find the number of pages read by each one.

The number of pages read by Clancey is:

$\frac{1}{4}\cdot240=\frac{240}{4}=60$

The number of pages read by Ethan is:

$\frac{2}{5}\cdot170=\frac{340}{5}=68$

So Ethan read more pages.

The combined number of pages in both books is 240 + 170 = 410.

The combined number of pages read is 60 + 68 = 128

So the fraction is:

$\frac{128}{410}=\frac{64}{205}$

5 0

1 year ago

30 yd wide and 50 yd long find the length of the diagonal

Troyanec [42]

It's the same as finding the hypothenuse of a right triangle. Let c be the hypothenuse.

30 squared+ 50 squared= c squared.

900+ 2500= c squared
3400= c squared

Then find the square root of 3400 and that will equal c.

So, depending in what form the teacher was the answer. The answer will be square root of 3400 ft squared or 58.3 ft squared.

8 0

3 years ago

SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SA

kotegsom [21]

Answer:

I should use at least 304 students

Step-by-step explanation:

Margin error (E) = t × sd/√n

E = 40

sd = 300

confidence level (C) = 98% = 0.98

significance level = 1 - C = 1 - 0.98 = 0.02 = 2%

t-value corresponding to 2% significance level and infinity degree of freedom is 2.326

n = (t×sd/E)^2 = (2.326×300/40)^2 = 17.445^2 = 304 (to the nearest integer)

3 0

3 years ago

Find the value of x.

stiv31 [10]

Answer:

9 is the value of x.

3 0

2 years ago