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poizon [28]
3 years ago
6

The following steps are used to write the polynominal expression 3(x+4y)+5(2x-y)

Mathematics
1 answer:
vichka [17]3 years ago
4 0
  1. 3(x+4y)+5(2x-y) Distrubite
  2. 3x+12y+10x-5y After Distribution
  3. 3x+10x and 12y+5y Combine like terms
  4. equals 13x+7y
  5. Hope this works

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The simplest form of sqrt 80 can be written as a sqrt b where a = and b =
Zanzabum

The square root of 80 can be broken up into the square root of 16 x square root of 5. We know that the square root of 16 is 4. So in the form (a sqrt b)

A would be 4 and b would be 5.

Answer: 4 sqrt 5

5 0
3 years ago
Read 2 more answers
Pen are shipped to the office supply store in boxes of 12 each. Write a function rule to calculate the total number of pens when
Tom [10]

p = 12x is the  function rule to calculate the total number of pens when you know the number of boxes

<em><u>Solution:</u></em>

Given that,

Pen are shipped to the office supply store in boxes of 12 each

To find: Write a function rule to calculate the total number of pens when you know the number of boxes

Let "p" be the total number of pens

Let "x" be the number of boxes

Number of pens in each box = 12

Then from given information,

Total number of pens = Number of boxes multiplied by number of pens in each box

p = x \times 12\\\\p = 12x

Thus the function rule is found

6 0
3 years ago
The slope of the line below is -2. use the coordinates of the labeled point (4,-6) to find a point - slope equation of the line
devlian [24]

Answer:

A

Step-by-step explanation:

Use the equation y-y1=m(x-x1) and sub in the values of the provided information

3 0
3 years ago
The average size of 8 farms in Indiana County, Pennsylvania, is 191 acres with standard deviation of 38 acres. The average size
Grace [21]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let μ1 be average size of farms in Indiana County, Pennsylvania and μ2 be the average size of farms in Greene County, Pennsylvania.

The random variable is μ1 - μ2 = difference in the average size of the farms in Indiana County and the average size of the farms in Greene County.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 191

μ2 = 199

s1 = 38

s2 = 12

n1 = 8

n2 = 10

t = (191 - 199)/√(38²/8 + 12²/10)

t = - 0.57

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [38²/8 + 12²/10]²/[(1/8 - 1)(38²/8)² + (1/10 - 1)(12²/10)²] = 37986.01/4677.36142857143

df = 8

We would determine the probability value from the t test calculator. It becomes

p value = 0.58

Let us assume a significance level of 0.05

Since alpha, 0.05 < than the p value, 0.58, then we would accept the null hypothesis. Therefore, at a significance level of 5%, there is not sufficient evidence to conclude that the average size of the farms in Indiana County and the average size of the farms in Greene County are different.

4 0
3 years ago
Sandra bought a new coat for $49.99 and 3 skirts for $24.99 each . If the Sale tax rate is 7% to the nearest cent what is the am
Sliva [168]

Answer:

$133.71

Step-by-step explanation:

49.99 + 3(24.99)

49.99 + 74.97

124.96 (1.07)   <----- sales tax

about 133.71

4 0
3 years ago
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