All categories

3 years ago

How do I Simplify (5x-2)4 using the distributive property?

Mathematics

2 answers:

mafiozo [28]3 years ago

6 0

Answer:

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac

(5x - 2) · 4 = 4(5x - 2) = (4)(5x) + (4)(-2) = 20x - 8

BartSMP [9]3 years ago

4 0

Answer:

20x - 8

Step-by-step explanation:

using the distributive property to simplify (5x-2)4, you would multiply the outside term (4) by each inside term (5x-2).

for example:

4 × 5x = 20x

4 × -2 = -8

once you distribute the 4 into 5x-2, you are left with 20x - 8 which needs no further simplifying

You might be interested in

450 is shared between two workers John and Andrew if John gets 50 more than Andrew how much does John get

NemiM [27]

450 divided by 2 is 225. 225-50=175. 225+50=275

John has 275 and Andrew has 175.

In order to get this answer, first you divide the whole number by 2. Then you get the number 225. You then have to subtract 50 from 225 because John gets 50 more than Andrew. Then for John, you have to add 50 to 225. To self-check the answer, here is the formula: 175+275=450. Remember that on these kind of word problems, you first divide the whole. Then subtract and add the number that one person gets more than the other person.

3 0

3 years ago

There are 6 pieces of fruit in a basket, including 3 bananas.

mihalych1998 [28]

Answer:

1/2

Step-by-step explanation:

3/6 fruits are bananas that means that there is a 3/6 chance that a banana will be selected. 3/6 simplifies to 1/2.

3 0

2 years ago

Read 2 more answers

Amy’s Moving Supply Store sells boxes with a base that is 24 inches wide and 24 inches long. If the volume of the box is 17,280

alexandr1967 [171]

Answer:

f the answers are f and n

Step-by-step explanation:

I justified the idea myself

8 0

3 years ago

Antonio's father has a cutting form that can cut a pizza into 12 slices and another form that can cut into 8 slices.

n200080 [17]

A. 5/8
b. 3/8

sorry. I don't have enough time to do C
If you need more help then let me know

3 0

3 years ago

A fast-food restaurant has an automated beverage machine that dispenses a set amount of liquid based on a size setting. Suppose

SashulF [63]

Answer:

$n=(\frac{2.58(17)}{10})^2 =19.24 \approx 20$

So the answer for this case would be n=20 rounded up to the nearest integer would be the sample required to obatin a margin of erros or 10 ml at 99% of confidence

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =17$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =10 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.005;0;1)", and we got $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(17)}{10})^2 =19.24 \approx 20$

So the answer for this case would be n=20 rounded up to the nearest integer would be the sample required to obatin a margin of erros or 10 ml at 99% of confidence

8 0

3 years ago