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3 years ago

7

Write the prime factorization of 20. Use exponents when appropriate and order the factors from least to greatest

1 answer:

erik [133]3 years ago

4 0

I'd draw a prime factor tree for 20, so:
20 -> 10 × 2 (2 is prime)
10 -> 5 × 2 (both are prime)
So you have 2 × 2 × 5, which can also be written as 2² × 5, which is your answer. I hope this helps!

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Joseph typed a 1200- word essay in 25 minutes.at this rate,determine how many words he can type in 45 minutes.

Deffense [45]

First you divide 1200 by 25 (1200/25) it comes out to 48.
That means the he types at a rate of 48wpm. So then all you have to do is multiply 48 and 45 and you get 2160 words.

4 0

4 years ago

Read the instructions

nordsb [41]

Answer:

Step-by-step explanation:

$\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}$

Multiply the equation by 4

$4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\$

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

$\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\$

Multiply the equation by 6

$6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\$

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3 15x - 18y = 12

(II)*5 <u>-15x + 70y = 40</u> {Now add}

52y = 52

y = 52/52

y = 1

Substitute y =1 in equation (I)

5x - 6*1 = 4

5x - 6 = 4

5x = 4 +6

5x = 10

x = 10/5

x = 2

7 0

3 years ago

The class sizes of elementary school classes in a public school district are normally distributed with an unknown population mea

weqwewe [10]

Answer: $(17.14,\ 22.86)$

Step-by-step explanation:

The confidence interval estimate for the population mean is given by :-

$\overline{x}\pm ME$ , where $\overline{x}$ is the sample mean and ME is the margin of error.

Given : Sample mean: $\overline{x}=20$

The margin of error for a 98% confidence interval estimate for the population mean using the Student's t-distribution : $ME=2.86$

Now, the confidence interval estimate for the population mean will be :-

$20\pm2.86=(20-2.86,\ 20+2.86)=(17.14,\ 22.86)$

Hence, the 98% confidence interval estimate for the population mean using the Student's t-distribution = $(17.14,\ 22.86)$

8 0

3 years ago

Find the missing angle measure. PLEASE HELP ASAP

kobusy [5.1K]

Answer:

Angle 1 is 57 degrees

Angle 3 is 57 degrees

Angle 4 is 123 degrees

Step-by-step explanation:

Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57

Then for angles one you do the same maththat you do for finding angle 3

Then for angles 4 subtract 180-57=123

6 0

3 years ago

HELP ASAP PLEASE I BEG TOU

nevsk [136]

Answer:

(0,-2)

(2,-1)

(4,0)

Step-by-step explanation:

The points are the above ones.

8 0

3 years ago

Read 2 more answers