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


Related Questions

Help me make sure this is right please??!!

Answers

Answer:

[tex]2\sqrt{3} -3\sqrt{3}[/tex]

Step-by-step explanation:

We need a number that is able to be square rooted, and then we square root it and take it out so it is simplified

[tex]\sqrt{4*3} -\sqrt{9*3}[/tex]

The square root of 4 is 2, and the square root of 9 is 3.

[tex]2\sqrt{3} -3\sqrt{3}[/tex]

HELPPP!!
SIMPLIFY!!!
5x²-7y+3x²-8y​

Answers

Answer:

8

x

2

15

y

Step-by-step explanation:

Hope that helps

Pat and Julie share some money in the ratio 2 : 5 Julie gets $45 more than
Pat. How much money did Pat get? (SHOW WORKING)​

plsssss helppp ​

Answers

Answer:

Pat receives $18.

Step-by-step explanation:

Pats get 18 dollars because he only gets 40 percent of what Julie gets and 40% of 45 is 18.

(3x+4) and (2x−3). What is the perimeter of the park?

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

 2(l+w)

=2[(3x+4)+(2x-3)]

=2[3x+4+2x-3]

=2[5x-1]

=10x-2

Let f(x) = 3x² - x, find f(-3) *

Answers

Answer:

30

Step-by-step explanation:

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

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

=3*9 +3

=27+3

=30

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

Hope Thiswill be helpful for you.

describe a real-world situation using opposites

Answers

Answer:

The real world using opposite would be like calling it perfect or or saying that it is normal now days. Hope this helps!

Tina learns 2 new appetizer recipes during each week of culinary school. After 19 weeks of culinary school, how many total appetizer recipes will Tina know?

Answers

Answer:

38 recipes

Step-by-step explanation:

1 week=2 recipes

19 week=19×2 recipes

=38 recipes

Plz,marks me as a brainest ok.

What is the simplified expression for the expression below? –1(2x + 3) – 2(x – 1)

Answers

Answer:

-4x - 1.

Step-by-step explanation:

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

= -2x - 3 - 2x + 2

= -4x - 1.

Answer:

-4x -1

Step-by-step explanation:

-2x -3 -2x + 2

given the piece wise function show below, select all that are true​

Answers

Answer:

Option (C) and (D)

Step-by-step explanation:

Given piecewise function is,

f(x) = 2x, x < 1

        5, x = 1

        [tex]x^{2}[/tex], x > 1

Option (A),

x = 5 means x > 1

So the function will be,

f(x) = [tex]x^{2}[/tex]

f(5) = (5)²

     = 25

Therefore, f(5) = 1 is not correct.

Option (B),

x = -2 means x < 1

f(x) = 2x will be applicable.

f(-2) = 2(-2) = -4

Therefore, f(-2) = 4 is not correct.

Option (C)

For x = 1,

f(1) = 5

Therefore, f(1) = 5 is the correct option.

Option (D)

x = 2 means x > 1 and the function defined will be,

f(x) = x²

f(2) = 2²

     = 4

Therefore, f(2) = 4 will be the correct option.

Options (C) and (D) will be the answer.

(2ײy²)⁰ I need help with exponents ​

Answers

Answer:

1.

Step-by-step explanation:

Any real value to the power of 0 is 1.

Value to the power of 0 is 1

Really need help on this!!

Answers

Answer:

Hey there!

There are 3+4+6+3, or 16 females.

3 of the females are seniors.

Thus, the percent is 3/16, or 19%

Let me know if this helps :)

The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the width. Find the dimensions.

Answers

Answer:

The dimensions of the rectangle = 60ft by 107ft

Where 60 ft = Width of the playing field

107ft = Length of the playing field

Step-by-step explanation:

A playing field is Rectangular is shape, hence,

The formula for Perimeter of a rectangle = 2(L + W)

P = 334 ft

L = 47 + W

W = W

Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

334 = 2(47 + 2W)

334 = 94 + 4W

334 - 94 = 4W

240 = 4W

W = 240/4

W = 60

There fore, the width of this playing field = 60 ft

The length of this rectangle is calculated as:

47 + W

47 + 60

= 107 ft

The length of this playing field = 107ft

Therefore the dimensions of the rectangle = 60ft by 107ft


Triangle MNO is a right triangle with one leg = 15ft and the other leg = 18ft. Calculate the
length of the hypotenuse to the nearest hundredth of a foot (2 decimal places)

Answers

Answer:

Length of the hypotenuse = 23.43ft

Step-by-step explanation:

First leg = 15ft

Second leg = 18ft

Length of the hypotenuse = ?

In a right angle triangle,

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

Hypotenuse = 23.43ft to the nearest of a hundredth

Length of the hypotenuse = 23.43ft

What is the image of (–9,-5) after a dilation by a scale factor of 5 centered
at the origin?

Answers

Answer: (-45,-25)  

Step-by-step explanation:

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

-9 * 5 = -45

-5 * 5 = -25

(-45,-25)

Can anyone solve this word problem?

Answers

Answer:

Mrs. Davis package is 30 ounces

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:

0.25x+5=0.35x+2

5-2=0.35x-0.25x

3=0.10x

x=3/0.10

x=30 ounces

Mrs. Davis package is 30 ounces

check:

0.25x+5=0.25(30)+5= 12.5 dollars

o.35(30)+2=12.5 dollars

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

Answers

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

what is [12÷(3-1)+4]×6​

Answers

The answer should be:

60

Hoped it Helped !!

Answer:

60

Step-by-step explanation:

12 ÷ (3 - 1) = 6

6 + 4 = 10

10 × 6 = 60

A line passes through the point (4,–2) and is perpendicular to the line with the equation y = 2∕3x + 4. What's the equation of the line? Question 1 options: A) y = –3∕2x – 4 B) y = 2∕3x + 3 C) y = 3∕2x – 8 D) y = –3∕2x + 4

Answers

Answer:

Step-by-step explanation:

perp. -3/2

y + 2 = -3/2(x - 4)

y + 2 = -3/2x + 6

y = -3/2x + 4

answer is D

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $82,910, and the variable costs will be $10.75 per book. With the other method, the one-time fixed costs will total $22,110 , and the variable costs will be $23.25 per book. For how many books produced will the costs from the two methods be the same?

Answers

Answer:

When 4864 books are sold

Step-by-step explanation:

Create an equation where x is the number of books produced:

The first method will be represented by 10.75x + 82,910

The second method will be represented by 23.25x + 22,110

Set these equal to each other and solve for x:

10.75x + 82,910 = 23.25x + 22,110

82,910 = 12.5x + 22,110

60,800 = 12.5x

4864 = x

So, the costs will be the same for both methods when 4864 books are sold

At what value(s) of x does f(x) = -x4 + 2x2 have a critical point where the graph changes from decreasing to increasing?

Answers

Hope the graph helps!

what is equivalent to 5 meters

Answers

Answer:

500 centimeters

Step-by-step explanation:

cause it is

3 is multipled by the cube of a number.

Answers

Cube Root. ... a special value that when cubed gives the original number. ... 3, because when 3 is cubed you get 27.

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:






What is the value of x in the equation −x = 3 − 4x + 15?

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

Finally divide both sides by 3

x = 6

Hope this helps!

Answer:

6

Step-by-step explanation:

I dont understand hot to find g(3)

Answers

The answer to this equation is 4. This is because since the function is g(3), you plug in x with 3. 3*3 = 9. 9+7 = 16. The square root of 16 is equal to 4, so that is your answer.

Write 7*10*10*10*10 with an exponent
7*10*10*10*10=

Answers

7x10^4

Because there are 4 sets of 10
The answer is 7*10^4 i think

(6 + h​ 2​− j) ÷ 2; use h = 6, and j = 4

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

= (6 + 36 - 4) ÷ 2

= 38 ÷ 2

= 19

What is the range of these wages £140 £525

Answers

140-525 would be the range

Answer the following questions about this figure.
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

21-m=9 anyone know this ?

Answers

Answer:

m=12

Step-by-step explanation:

21-m=9

-m=9-21

-m=-12

m=12

Answer:

12

Step-by-step explanation:

21-m=9

21-9=12

m=12

-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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