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2 years ago

I have to factor 14 and 22 to find the greatest common factor

Mathematics

2 answers:

Monica [59]2 years ago

8 0

Answer: The GCF is 2

Bond [772]2 years ago

5 0

Answer:

Step-by-step explanation:

Solution by Factorization:

Hope this helps u :D

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7 times as much as the sum of 1/3 and 4/5

Jet001 [13]

First of all, you add 1/3 and 4/5, so you get:
$\frac{1}{3} + \frac{4}{5}$

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:
$\frac{1*5}{3*5} + \frac{4*3}{5*3}$
$\frac{5}{15} + \frac{12}{15}$

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:
$\frac{5+12}{15}$
$\frac{17}{15}$

That's the sum of 1/3 + 4/5.

Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:
$\frac{17}{15} * \frac{7}{1}$

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:
$\frac{17*7}{15*1}$
$\frac{119}{15}$

Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15.

Hope this Helps! :D

7 0

3 years ago

Read 2 more answers

Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students r

BaLLatris [955]

<h2>Answer with explanation:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

$H_0: p=0.39\\\\H_a :p\neq0.39$

Sample size : n= 1055

Sample proportion : $\hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44$

Critical value for 95% confidence : $z_{\alpha/2}=1.96$

Confidence interval : $\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

$0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)$

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95% confidence interval represents evidence that parents' attitudes toward the quality of education have changed.

8 0

3 years ago

Choose the situation which would best be modeled by an exponential decay function.

Softa [21]

A) is the answer. The island in decaying by 10% each year, which means the amount will change within the period of the decay.

Hope this Helps! :)

7 0

2 years ago

Read 2 more answers

Your closet has 5 shirts for every 4 sweaters. Your closet has 15 shirts. How many sweaters are in your closet?

Mnenie [13.5K]

Since it is a 5:4 it would be 15:12

3 0

2 years ago

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5. Explain how you could use compatible numbers to estimate 245 ÷ 3. Then estimate the quotient.

sdas [7]

Answer:

Step-by-step explanation:

Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.

In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.

So, estimating 245 as 240 and 3 as 30.

Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.

We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.

Then we add on the zero if there were left in the problem to get your estimate.

Therefore,

240 / 30 = 8

So here, the quotient is estimated as 8.

4 0

2 years ago

I have to factor 14 and 22 to find the greatest common factor​

I have to factor 14 and 22 to find the greatest common factor