We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and 80% concrete mix. We want to end up with 30 pounds of a result that is 10% water and 90% concrete mix. Determine how many pounds of each variety we need.

Answers

Answer 1

Answers:

20 pounds of the 95% concrete mix10 pounds of the 80% concrete mix

=================================================

Explanation:

x = amount of the 95% concrete mix

y = amount of the 80% concrete mix

Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.

So far we have 0.95x+0.80y pounds of pure concrete from the two mixes

Divide this over 30 to get (0.95x+0.80y)/30

Setting this equal to 0.90 means we want the final mix to be 90% concrete.

Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later

-------------------------------

(0.95x+0.80y)/30 = 0.90

0.95x+0.80y = 30*0.90 .... multiply both sides by 30

0.95x+0.80y = 27

0.95x+0.80(30-x) = 27 ..... plug in y = 30-x

0.95x+0.80*30-0.80*x = 27

0.95x+24-0.80x = 27

0.15x+24 = 27

0.15x = 27-24 ..... subtracting 24 from both sides

0.15x = 3

x = 3/0.15 ........... dividing both sides by 0.15

x = 20

y = 30-x

y = 30-20

y = 10


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Answer:

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Answers

Answer:

19

Step-by-step explanation:

Given

(6 + h² - j) ÷ 2 , substitute h = 6 and j = 4 into the parenthesis

= (6 + 6² - 4) ÷ 2

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Answer:

m=12

Step-by-step explanation:

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Answer:

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Which of the following is a rational number? 79, 80, 81, 82​

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I’m thinking 81 ? Maybe but it can also be 79

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140-525 would be the range

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Answers

Answer: 10x-2

Step-by-step explanation:

I assume this is a rectangular park

Formula for perimeter: 2(l + w)

l= 3x+4

w= 2x-3

--------------------------------------------------------

Use PEMDAS to simplify (basic operation from left to right)

ParenthesesExponentsMultiplication and DivisionAddition and subtraction

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what is equivalent to 5 meters

Answers

Answer:

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Step-by-step explanation:

cause it is

Let f(x) = 3x² - x, find f(-3) *

Answers

Answer:

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Step-by-step explanation:

if f(x)=3x^2 - x then,

f(-3)=3*-3^2 -(-3)

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So, The value of f(-3) is 30

Hope Thiswill be helpful for you.

3 is multipled by the cube of a number.

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Answer:

Cube of a number is three times of the same number. Cube of any mathematical expression is represented by the superscript 3. For example a 3 of the number is a x a x a. It can also be told as the number multiplied by its square. a 3 = a x a 2 can you please help me

Step-by-step explanation:

-3, -2,-1, 0, 1, 2, 3, are called_______

Answers

Answer: Integers

Step-by-step explanation: To help introduce the set

of integers, let's use the number line shown below.

Notice that on a number line, 0 is in the middle, all numbers to the

left of 0 are negative, and all numbers to the right of 0 are positive.

The set of integers includes the set of whole numbers, {0, 1, 2, 3, ...},

which appear at 0 and to the right of 0 on the number line.

The set of integers also includes {-1, -2, -3, ...} which

appear to the left of 0 on the number line.

So the ste of integers can be written as {...-3, -2, -1, 0, 1, 2, 3...}.

Answer:

Integers

Step-by-step explanation:

a positive (+) or negative (-) number with no fractional parts. zero (0) Is also an integer

Examples: -3, 3

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Answers

Answer:

-4x - 1.

Step-by-step explanation:

-1(2x + 3) - 2(x - 1)

= -2x - 3 - 2x + 2

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Answer:

-4x -1

Step-by-step explanation:

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Answer:

Hey there!

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Answers

Answer:

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Step-by-step explanation:

A playing field is Rectangular is shape, hence,

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Can anyone solve this word problem?

Answers

Answer:

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Step-by-step explanation:

x for ounces

mailbox plus=0.25x+5

united package=0.35x+2

since Mrs.Davis noticed that she is going to pay same price then:

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Answer:

When 4864 books are sold

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Answer:

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Answers

Answer:

x = 6

Step-by-step explanation:

First of all you should collect like terms

-x = 18 - 4x

Then you should move the variable to the left

-x + 4x = 18

After that you should collect like terms

3x = 18

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6

Step-by-step explanation:

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Answers

Answer:

1.

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Any real value to the power of 0 is 1.

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Answers

The answer should be:

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Hoped it Helped !!

Answer:

60

Step-by-step explanation:

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HELPPP!!
SIMPLIFY!!!
5x²-7y+3x²-8y​

Answers

Answer:

8

x

2

15

y

Step-by-step explanation:

Hope that helps

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Answers

Answer: (-45,-25)  

Step-by-step explanation:

Multiply each coordinates value by the scale factor to find the new point.

-9 * 5 = -45

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PLS HELP ME

Answers

The answer is 143 I think

Answer:

143

Step-by-step explanation:

First, figure out the measurement of angle 2. Take 180 degrees (the total of the triangle) and subtract 90 (the right angle) and 53 (the given measurement of angle 1). 180-90-53=37      

Angle 2 measures 37 degrees. The measurements of angles 2 and 3 need to equal 180 when added together as they form a straight line, so take the total (180) and subtract the value of angle 2 (37). 180-37=143

Angle 3 measures 143 degrees


Triangle MNO is a right triangle with one leg = 15ft and the other leg = 18ft. Calculate the
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Answers

Answer:

Length of the hypotenuse = 23.43ft

Step-by-step explanation:

First leg = 15ft

Second leg = 18ft

Length of the hypotenuse = ?

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Hypotenuse^2 = opposite^2 + Adjacent^2

Let first leg and second leg of the triangle be opposite and adjacent respectively

Hypotenuse^2 = opposite^2 + Adjacent^2

= 15^2 + 18^2

= 225 + 324

= 549

Hypotenuse^2 = 549

Find the square root of both sides

√Hypotenuse^2 = 549

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Length of the hypotenuse = 23.43ft

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Answers

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