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4 years ago

5

To make purple paint, Mya mixed 2/5 cup of red paint with 5/8 cup of blue paint. She wants to make a larger batch of the purple

paint. How much red paint is needed to mix one cup of blue paint?

1 answer:

Ksivusya [100]4 years ago

6 0

All you have to do is Dubble the equation

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I'm really not sure how to go about solving this algebraic equation, please help! .513 = (2x)^2 / (.05-x)

LiRa [457]

Let's set it up like this:
$0.513=\frac{\left(2x\right)^2}{\left(0.05-x\right)}$
Multiply both sides by $0.05-x$
$0.513\left(0.05-x\right)=\frac{\left(2x\right)^2}{0.05-x}\left(0.05-x\right)$
$0.513\left(0.05-x\right)=4x^2$
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
$x=-\frac{0.513+\sqrt{0.673569}}{8},\:x=\frac{\sqrt{0.673569}-0.513}{8}$
The variable $x$ can be both positive or negative.
We have found successfully our answer.

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />

4 0

3 years ago

The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?

gladu [14]

We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub

p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
$p= \frac {(x-6)(x+1)(x+4)}{(x-2)}$

7 0

3 years ago

Mark borrowed $600 at an intrest rate of 8% per year for 4 years. How much simple intrest will he have to pay?

miv72 [106K]

Answer:

He will have to pay $192 in simple interest.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the interest, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

P = 600, r = 0.08, t = 4

So

E = P*I*t = 600*0.08*4 = 192

He will have to pay $192 in simple interest.

6 0

3 years ago

In a class, 45 students take the SAT exam. The number of boys is 7 more than the number of girls

velikii [3]

There are 26 boys and 19 girls,
Take away 7 from 45 to get 2g(# of girls)
45-7=38 38=2g To get to # of girls,find just one g
38/2=19 so 19 girls
45-19=boys 45-19=26 boys

6 0

3 years ago

Read 2 more answers

5. Which operation should be used to solve x + 7 = 19?<br> - 7<br> : 7<br> x 7<br> + 7

Goshia [24]

Answer:

the answer for the operation that should be used to solve x+7 is -7

4 0

3 years ago