Alana bought some cans of paint and 1/2 of a liter of special paint additive formulated to reduce mildew. Before painting her house, she used all of the additive to put 1/8 of a liter of additive in each can. How many cans of paint did Alana buy?

Answers

Answer 1
Answer:

Answer:

Alana bought 4 cans of paint additive

Step-by-step explanation:

Proportions

If a proportional amount of x is to be distributed between y elements, each one of them gets x/y portions.

For example, if we have 100 coins and distribute evenly between 20 boxes, each box will receive 100/20=5 coins.

Alana bought 1/2 of a liter of the special paint additive and evenly distributed it between an unknown number of cans, let's call it C. We also know each can received 1/8 of a liter of the additive. That is the proportion of the 1/2 liter of additive.

We can establish the following condition:

\displaystyle (1/2)/(x)=(1)/(8)

Solving for x:

\displaystyle (1/2)/((1)/(8))=x

Transform the division into a product:

\displaystyle x=(1)/(2)\cdot(8)/(1)=4

Alana bought 4 cans of paint additive


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Which of the following binomials is Not prime? a. 2x+1  , b. 3x+2  , c. x2-4  , d. x2+8

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I believe you answer is c.x2-4 because of its form

The opposite of x squared plus 5?

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f(x)=- x^(2) +5\n\nx=0,\ so\ f(x)=-0^2+5=5\nx=1,\ so\ f(x)=-1^2+5=4\nx=2,\ so\ f(x)=-2^2+5=1\nx=3,\ so\ f(x)=-3^2+5=-4

Which is bigger:
3/8 or 0.38.
Can you tell me how to work it out?please!

Answers

You do 3 x 8 / 100 to work out 3/8 as a decimal. So its 0.24. 0.38 is bigger

Can someone please help I really need help

Answers

Answer:

  see below

Step-by-step explanation:

Each point and line moves to half its previous distance from the center of dilation, the origin. So, the point (-10, -10) moves to (1/2)(-10, -10) = (-5, -5). The dilation factor applies in the same way to other coordinates.

I find it easy enough just to spot the points on the graph and draw the lines between them.

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Answers

If you are talking about using a factor tree, then it would go into 5 and 10
5 is a prime number so you'll divide 10 into 5 and 2. So 2x5x5=50 :)