1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tresset_1 [31]
3 years ago
13

The Sureset Concrete Company produces concrete. Two ingredients in concrete are sand (costs $6 per ton) and gravel (costs $8 per

ton). Sand and gravel together must make up exactly 75% of the weight of the concrete. Also, no more than 40% of the concrete can be sand and at least 30% of the concrete be gravel. Each day 2000 tons of concrete are produced. To minimize costs, how many tons of gravel and sand should be purchased each day
Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

The Sureset Concrete Company

The tons of gravel and sand that should be purchased each day are:

Sand = 800 tons

Gravel = 700 tons

Step-by-step explanation:

Two ingredients for producing concrete = sand and gravel

Cost of sand per ton = $6

Cost of gravel per ton = $8

Sand and gravel = 75% of the concrete

Therefore 25% (100 - 75%) will be made up of cement and water

Tons of concrete produced each day = 2,000

Sand and gravel = 1,500 (2,000 * 75%)

Sand <= 40% of 2,000 = 800 tons

Gravel => 30% of 2,000 = 700 (1,500 - 800) tons

To minimize costs,  800 tons of gravel and 700 tons of sand should be purchased each day.

Total cost incurred daily for both sand and gravel = $10,400 (800 * $6 + 700 * $8)

You might be interested in
What is the result when the number 48 is decreased by 89%?
sveta [45]

Answer:

42.72

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Given that 2x³-5x² - 4x+8 = (Ax - 1)(x-B)(x + 1) + C for all values of x, find the
vfiekz [6]

Answer:

A=2, B=3, C=5

Step-by-step explanation:

Two polynomials are equal for all values of the variable if the corresponding coefficients are the same. The way to solve the problem is to multiply the RHS, rewrite it in a more orderly way

(Ax-1)(x-B)(x+1)+C = \\Ax^3+(A-AB-1)x^2+(B-AB-1)x +B+C

Now, for the two polynomials to be the same we need to have, at the same time

x^3: A=2\\x^2: A-AB-1= -5\\x:B-AB-1=-4\\1: B+C=8

You might notice that we have more conditions than variables, but you can consider one of the two in the middle as a "check" option.

Now, grabbing the value from the first condition into the second we get B=3. Replacing both value in the third we see that the equality still holds, and replacing into the fourth we get C =5.

8 0
1 year ago
The sum of 4 consecutive integers is 130
gogolik [260]

x + x + 1 + x + 2 + x + 3 = 130

Combine like terms.

4x + 6 = 130

Subtract 6 from both sides.

4x = 124

Divide both sides by 4.

x = 31

<h3>The first digit is 31.</h3><h3>The second is 32.</h3><h3>The third is 33.</h3><h3>The fourth if 34.</h3>
7 0
3 years ago
Find the percent of change. Original: 80, new: 64
lara31 [8.8K]
Hi there!

To find the percent of change we can use the following formula:
\frac{new - old}{old} \times 100\%

Let's fill in our data
\frac{64 - 80}{80} \times 100\% =

Subtract
\frac{ - 16}{80} \times 100\% =

Divide
- 0.2 \times 100\%

And finally multiply
- 20\%

Hence, the percent of change is negative 20%.
~ Hope this helps you!
3 0
2 years ago
Please help! I need this ASAP!!! + Brainliest to first correct answer!
Levart [38]

Answer:

\text{C. } 2

Step-by-step explanation:

Proportional functions can be represented by y=kx, where k is a constant of proportionality and (x, y) represents any point the line passes through.

In the graph, we can see the line passes through (20, 40). Therefore, we can plug in these coordinates to find the constant of proportionality:

y=kx,\\40=k(20),\\k=\frac{40}{20}=\boxed{\text{C. }2}

5 0
3 years ago
Read 2 more answers
Other questions:
  • The point (12,5) is on the terminal side of angle 0. Cos 0 = Cot 0 =
    6·1 answer
  • When looking at a rational function f of x equals the quantity x plus three times the quantity x minus two times the quantity x
    12·1 answer
  • Which values for Theta have the same reference angles?
    14·2 answers
  • Combine like terms.<br> 2x^2+7+6x-1-7x-6x^2+1<br> 2x <br> 2<br> +7+6x−1−7x−6x <br> 2<br> +1
    15·1 answer
  • A velocity-time graph shows how<br> changes over<br> time.
    14·2 answers
  • How often should you study
    14·1 answer
  • How do I factor this equation fully?
    6·1 answer
  • What value of x makes 3x+7=22
    5·2 answers
  • The question is about trigonometry solving two sides it is a right triangle hypotenuse is X left side is 20 bottom side is 21 i
    12·1 answer
  • When a number is decreased by 47%, the result is 20. What is the original number to the nearest tenth?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!