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3 years ago

Factor completely, 0.2x + 0.8 a. x b. 0.8(x + 1) c. 0.2(x + 1) d. 0.2(x + 4)

Mathematics

1 answer:

Zepler [3.9K]3 years ago

5 0

Answer:

d. 0.2 ( x + 4 )

Step-by-step explanation:

0.2x + 0.8

Both 0.2x and 0.8 have a common factor of 0.2, hence pull 0.2 out.

0.2x + 0.8

0.2 ( x + 4 )

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Shauna spent $175 on a pair of shoes.She spent 1/9 of the remaining money on a shirt.If he still had 4/7of his moneyleft,how muc

KIM [24]

Answer:

$490

Step-by-step explanation:

Shauna spent $175 on a pair of shoes.

She spent 1/9 of the remaining money on a shirt.

If he still had 4/7 of his money left,how much did he have at first ?

Solution:

Let at first, Shauna have = $x$

Money spent on a pair of shoes = $175

Remaining money = $x-175$

<u>As she spent 1/9 of the remaining money on a shirt.</u>

Money spent on shirt = $\frac{1}{9} \times(x-175)=\frac{x}{9} -\frac{175}{9}$

As he still had $\frac{4}{7}$ of his money left:-

Money left = $\frac{4}{7}\ of\ his\ money=\frac{4x}{7}$

Money left with Shauna = Total money, she had at first -(Money spent on a pair of shoes + Money spent on shirt )

$\frac{4x}{7} =x-(175+{\frac{x}{9} -\frac{175}{9} )\\\\\\$

$\frac{4x}{7} =x-(\frac{175}{1} -\frac{175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7} =x-(\frac{1575-175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7}=x-(\frac{1400}{9} +\frac{x}{9} )\\ \\ \frac{4x}{7}=x-\frac{1400}{9} -\frac{x}{9}$

Subtracting both sides by $x$ and adding both sides by $\frac{x}{9}$

$\frac{4x}{7} -x+\frac{x}{9} =-\frac{1400}{9} -x+\frac{x}{9} +x-\frac{x}{9}$

Taking LCM of 7 and 9, we get 63

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ -\frac{20x}{63}=-\frac{1400}{9}$

Adding both side by -

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ \frac{20x}{63}=\frac{1400}{9}$

By cross multiplication:

$20x\times9=1400\times63\\180x=88200\\$

Dividing both sides by 180

$x=490$

Therefore, total $490, she had at first.

3 0

4 years ago

Triangles are similar. solve for x

stepan [7]

Answer:

Value of x = 7/5

Step-by-step explanation:

Given:

ΔVUW ≅ ΔUST

Find:

Value of x

Computation:

We know that;

ΔVUW ≅ ΔUST

So,

VU = US (By CPCT)

So,

5x + 11 = 18

5x = 7

Value of x = 7/5

3 0

3 years ago

What is the slope of the trend line in the scatterplot? Show work

Tom [10]

Answer:

y = -5x + 90

Step-by-step explanation:

y = mx + b is slope intercept form

b is the y intercept, meaning that 90 is the y-intercept

m is the slope (rise over run), 20/4, 5/1, 5

y = -5x + 90

this wasnt the best explanation but I hope it helped

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=2%20%5Cdiv%203%20%2B%202%20-%206%20%5Cdiv%205%20-%202%20-%202%20%5Ctimes%203%20%5Cdiv%206%20-%

dimulka [17.4K]

I think its 721.6666667

4 0

3 years ago

In the figure. d=4 yd, h=6 yd, and H=8 yd. What is the approximate volume of the figure? Use 3.14 to approximate

Nesterboy [21]

Check the picture below.

so is really just a cylinder with a cone on the side, notice, since the diameter of the base is 4, the radius is half that then.

so we just simply get the volume of the cylinder, and the cone, and sum them up

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2\\
h=6
\end{cases}\implies V=\pi \cdot 2^2\cdot 6\\\\
-------------------------------\\\\
\textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2\\
h=2
\end{cases}\implies V=\cfrac{\pi \cdot 2^2\cdot 2}{3}\\\\
-------------------------------\\\\
\stackrel{cylinder's~volume}{24\pi }~~+~~\stackrel{cone's~volume}{\cfrac{8\pi }{3}}$

5 0

3 years ago

Read 2 more answers