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mojhsa [17]
2 years ago
11

Rationalize the denominator

Mathematics
1 answer:
loris [4]2 years ago
8 0
Do u have an attachment of it ???
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Point G is the midpoint of PQ. <br> PG equals 2X plus 3 and GQ equals 5X -5. what is X?
borishaifa [10]

Answer:

x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}

Step-by-step explanation:

\overline{PG}=2x+3\\\overline{GQ}=5x-5

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

2x+3=5x-5

Adding 5 to both sides:

2x+8=5x

Subtracting 2x from both sides:

8=3x

Dividing both sides by 3:

\frac{8}{3}=x

Therefore:

x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}

6 0
3 years ago
What is the cost of one cranberry and one banana nut muffin?
Bezzdna [24]
So for the cranberry muffin, for every 12 (a dozen) it's $3
Banana nut muffin: for every 12, it's $4.32
take the $3 and divide it by 12 which is $0.25 for every cranberry muffin
take $4.32 divide by 12 and you get $0.36 for every banana nut muffin
so $0.25 + $0.36 = $0.61
Therefore the answer is B
8 0
2 years ago
Read 2 more answers
Show me how to make a 10 to solve 13-7
evablogger [386]
If you are talking about building blocks, then you would get one 10 and 3 ones, then subtract that from 7 ones and would get 6
8 0
3 years ago
Which of the following estimates at a 95% confidence level most likely comes from a small sample?
dusya [7]
<span>The <u>correct answer</u> is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.

First we <u>find the value of z</u>:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
0.05/2 = 0.025.

Subtract from 1 again:
1-0.025 = 0.975.

Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
7 0
3 years ago
The millers drove 150 miles in 3 hours at what rate how long will it take them to drive 400 miles
valentina_108 [34]
Rate = (150 miles)/(3 hrs) = 50 mph

so . . .

(50 mph)*(time) = 400 miles

*divide both sides by 50 mph

time = (400 miles)/(50 mph) = 8 hrs

time = 8 hrs
8 0
3 years ago
Read 2 more answers
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