What if the 360 cubic-inch paving stones are 4 inches thick and any whole number length and width are possible? How many different paving stones could be made? Suppose that the cost of having stone is $2.50, plus $0.18 for every 4 cubic inches of concrete how much would each paving stone cost?

Answer:

First place would pay $60

Answer:

66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed.

Step-by-step explanation:

Let 200 ml of 6% solution is formed by mixing x ml of 5% solution and y ml of 6.5% solution.

We can write the equation x + y = 200 ........ (1)

Now, x ml of 5% solution will contain ml of acid  

Again, y ml of 6.5% solution will contain ml of acid.

So, mixing them together will give (0.05x + 0.065y) ml of acid in 200 ml of solution.

So, from the condition given we can write  

⇒ 0.05x + 0.065y = 12  

⇒ x + 1.3 y = 240 ........... (2) {Dividing both sides by 0.05}

Now, solving equations (1) and (2), we get

0.3y = (240 - 200) = 40

⇒ y = 133.33 ml  

From equation (1) we get, x = 200 - 133.33 = 66.67 ml

Therefore, 66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed. (Answer)

The 100% correct answer is:

2,-4 is a solution to the equation

(This is a little difficult but I've got it)

((x - 45)/12) + 20 = 5(32 - x)

(I made the equation a little more complex than I should have but that equation should still work if you were to solve for x)

Hey there!!

Let's get this step by step

x is decreased by 45 = x - 45

Result is divided by 12 = ( x - 45 ) / 12

Then, 20 is added to the result

[ ( x - 45 ) / 12 ] + 20

Result =

Five times the difference of 32 and x = 5 ( 32 - x )

Hence, the equation

[ ( x - 45 ) / 12 ] + 20 = 5 ( 32 - x )

( x - 195 ) / 12 = 160 - 5x

Multiply 12 on both sides

x - 195 = 12 ( 160 - 5x )

x - 195 = 1920 - 60x

Add 60x on both sides and add 195 on both sides

61x = 2115

divide by 61 on both sides

x = 34.67

x = 34.7

Hence, the required answer is 34.7 this can be rounded to 35

Hope my answer helps!