Factor the following expression to it's lowest form. 24a-42b

Aneli [31]

There’s probably an easier way to do it like with the equation to find the area of a trapezoid but i did it this way bc it’s easier for me

i split the trapezoid into a triangle and a square
with the pythagorean theorem i found the missing side length to find the area of the square (length X width)
then found the area of the triangle (base X height divided by 2)

THE ANSWER IS 68.9 CM

6 0

3 years ago

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Researchers want to investigate if students retain more information if it printed on blue paper rather than white paper. They re

Debora [2.8K]

Answer:

Stratified design with color of paper as the blocks

Step-by-step explanation:

The experimental design that this question uses is the stratified design with color of paper as the blocks

A stratified design is one where the population has been divided into strata that are homogeneous. A good number of participants would then be picked for each of the stratum. The homogeneous strata are also known as the blocks and here in this question we have color of paper as the block here.

The students are of different school levels, elementary, high school and middle school. Each of these levels have 100 students. The students in each levels are halved and each half is randomly assigned information on either a white paper or a blue paper.

5 0

3 years ago

What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction

katovenus [111]

Answer:

$\dfrac{5}{y+5}$

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: $\dfrac{3y}{y^{2}+7y+10}$

2nd fraction: $\dfrac{2}{y+2}$

Considering the denominator of 1st fraction:

$y^{2}+7y+10$

Using factorization method:

$7y$ can be written as $(2y + 5y)$ .

$\Rightarrow y^{2}+2y+5y+10$

Taking 5 common from $5y+10$ and y common from $y^{2}+2y$ : $\Rightarrow y(y+2)+5(y+2)$

Now taking $(y+2)$ common:

$\Rightarrow (y+5)(y+2)$

$\dfrac{3y}{y^{2}+7y+10}$ can be written as $\dfrac{3y}{(y+5)(y+2)}$

Now, calculating the sum:

$\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}$

Taking LCM and solving:

$\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}$

Hence, answer is $\dfrac{5}{y+5}$ .

4 0

3 years ago

3x+1/5y=7 solve for y

Vladimir79 [104]

Hello!

First, let's write the problem.
$3x+\frac{1}{5}y=7$
Subtract 3x from both sides.
$3x+\frac{1}{5}y-3x=7-3x$
$\frac{1}{5}y=7-3x$
The opposite of division is multiplication, so we are going to multiply in order to undo the fraction.
$5\cdot \frac{1}{5}y=5\cdot \:7-5\cdot \:3x$

Our final answer would be,
$y=35-15x$

Thanks!
-TetraFish

5 0

4 years ago

Which is the best first step when solving the following system of equations?

givi [52]

Answer:

B

Step-by-step explanation:

I took the quiz

5 0

3 years ago

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