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3 years ago

Find the area of the trapezoid.

Mathematics

1 answer:

UkoKoshka [18]3 years ago

4 0

The answer is 68cm^2. Hope this helps!

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Find the selling price of a $20 item after a 20% markup.

nevsk [136]

Answer:

$24

Step-by-step explanation:

For a markup, use the formula a = ( 1 + p ) × w.

!!! Remember, a is the selling price, and w is the original price !!!

!!! The p is the percent in decimal form. 20% as a decimal is 0.20 (move the decimal twice to the left) !!!

Inserting the values, it should look like a = ( 1 + 0.20 ) × 20

a = 1.20 × 20

a = 24

Hence, the new selling price is $24.

Hope this helps! :)

4 0

3 years ago

Use long division to divide x^3+x^2-2x+14 by x+3

bekas [8.4K]

First, $x^3=x^2\cdot x$ , and if we multiply $x+3$ by $x^2$ we get

$x^3+3x^2$

Subtracting this from the numerator gives a remainder of

$-2x^2-2x+14$

Next, $-2x^2=-2x\cdot x$ , and if we multiply $x+3$ by $-2x$ we have

$-2x^2-6x$

and subtracting this from the previous remainder, we end up with a new remainder of

$4x+14$

Next, $4x=4\cdot x$ , and if we multiply $x+3$ by $4$ we get

$4x+12$

Subtracting from the previous remainder, we get a new remainder of

$2$

which contains no more factors of $x$ , so we're done.

So,

$\dfrac{x^3+x^2-2x+14}{x+3}=x^2-2x+4+\dfrac2{x+3}$

8 0

3 years ago

Graphing using the y intercept and slope: y = - 3x + 5 b(y - intercept) = m(slope) =

babymother [125]

The answer is 3x- I just took the text

6 0

3 years ago

Theo buys 5 packages of paper. There are 500 sheets of paper in each package. How many sheets of paper does Theo buy?

anzhelika [568]

Theo buys 2,500 sheets of paper

3 0

3 years ago

Read 2 more answers

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her universi

romanna [79]

Answer: The p-value is 0.154.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis :

$H_0:\mu=20$

Alternate hypothesis :

$H_1:\mu$

Population mean = 20 hours

Sample mean = 18.5 hours

Sample standard deviation = 4.3 hours

Sample size n = 35

So, test statistic would be

$z=\dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{18.5-20}{\dfrac{4.3}{\sqrt{35}}}\\\\z=\dfrac{-1.5}{0.726}\\\\z=-2.066$

So, the p value would be 0.154.

Hence, the p-value is 0.154.

4 0

3 years ago