X^2<64 find solution

What is .825252525 repeating as a fraction

masya89 [10]

Let d = 0.825252525..., then
$10d = 8.25252525...=8\frac{25}{10^2-1}=8\frac{25}{99}$

Therefore,
$d=\frac{8}{10}+\frac{25}{990}=\frac{8(99)+25}{990}=\frac{817}{990}$

5 0

3 years ago

Ving Advanced Linear Equations: Practice

Nastasia [14]

Answer:

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Step-by-step explanation:

Given:

First week

x gallons of gas at $2.39 per gallon

x gallons = $2.39x

Second week

3 fewer gallons of gas than the first week at $2.49 per gallon

x - 3 gallons = $2.49(x-3)

Total spent = $46.21

$2.39x + $2.49(x-3) = $46.21

2.39x + 2.49x - 7.47 = 46.21

4.88x - 7.47 = 46.21

Add 7.47 to both sides

4.88x - 7.47 + 7.47 = 46.21 + 7.47

4.88x = 53.68

Divide both sides by 4.88

x = 53.68/4.88

= 11

x = 11

First week = x = 11 gallons

Second week

= x - 3

= 11-3

= 8 gallons

Therefore,

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

3 0

3 years ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

Delvig [45]

Answer:

0.75 liters of 5% hydrochloric acid solution
0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

4 0

3 years ago

If CE=7 in and AE=23 in AC=

dusya [7]

I think it = 16 but then again I could be wrong

3 0

3 years ago

Read 2 more answers

The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3w^2 + 5w. What's the simplifi

alekssr [168]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3 + w^2 + 5w. What's the simplified expression for the height of the prism

V=f(w)
2w^3 + w^2 + 5w
v=w^2*l
svl l=v/w^2

V=w^2*(2*w+5)

2w^3 + w^2 + 5w=w^2*(2*w+5)
(2*w+5)= (2w^3 + w^2 + 5w)/w^2
w=5/4

5 0

3 years ago