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
gavmur [86]
3 years ago
14

⦁ Three boxes weighing 128 pounds each and one box weighing 254 pounds were loaded onto the back of an empty truck. A crate of a

pples was then loaded onto the same truck. If the total weight loaded onto the truck was 2,000 pounds, how much did the crate of apples weigh?
Mathematics
1 answer:
maria [59]3 years ago
5 0
128 x 3 = 384
384 + 254 = 638
2,000 - 638 = 1,362
The crate of apples weighed 1,362 pounds.
You might be interested in
Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys
il63 [147K]

Answer:

a)  P(x)=-0.042x^2+530x-18000

b)  P'(x)=-0.084x+530

c)

P'(4000)=194

P'(9500)=-268

Step-by-step explanation:

a)

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000

This is the profit function.

b)

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

\frac{d}{dx}(x^n)=nx^{n-1}

Now, we differentiate the profit function to get the marginal profit function (P'):

P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530

This is the marginal profit function , P'.

c)

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194

and

P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268

6 0
3 years ago
will give brainliest!!!! The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the number
PilotLPTM [1.2K]

Answer:

It's 10 times larger.

Step-by-step explanation:

If you just have 500,000, and the other one is 50,000, That means 50,000 x 10 is 500,000.

6 0
3 years ago
Choose the model for the problem 2/3 divided by 2.<br> 4/6<br> 1/6<br> 1/3<br> 2/3
olasank [31]

2/3 : 2 = 2/3 x 1/2 = 2/6 = 1/3

6 0
2 years ago
Read 2 more answers
The distance travelled in (m) by a ball dropped from a height are 128/9,32/3,8,6,...
Allushta [10]

Answer: it will trave 56.89 meters before coming to rest.

Step-by-step explanation:

This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as

S = a/(1 - r)

where

S = sum of the distance travelled by the ball

a = initial distance or height of the ball

r = common ratio

From the information given,

a = 128/9

r = (32/3)/(128/9) = 0.75

Therefore,

S = (128/9)/(1 - 0.75) = 56.89 meters

7 0
3 years ago
Ross is shopping for mulch that costs $1.29$1.29 per cubic foot. During his first trip to the store, he bought 16.516.5 cubic fe
stich3 [128]
You add $1.29 and $1.29 and 16.5 and 16.5 and 4.5 and 4.5 and that equals $44.58.


I hope I helped you! :)


$1.29 + $1.29 + 16.5 + 16.5 + 4.5 + 4.5 = $44.58.

- Shelly O
8 0
3 years ago
Read 2 more answers
Other questions:
  • Mary is wrapping a can of paint as a gag gift for a friend. If the can is 11 inches high and has a diameter of 7 inches. How man
    7·1 answer
  • Solve for n. Please explain if you can
    15·1 answer
  • the three inside angles (A, B and C) of the right-angled triangle are in the ratio 7 to 18 to 11 the smallest angle is 35° burge
    10·1 answer
  • Someone please help me on this question!!!!!
    12·1 answer
  • Help!!! please! im on my last try!
    14·2 answers
  • What is the solution to the system of equations y=x+4 and y=-4+x
    5·2 answers
  • It isnt blurry, free brainlist
    6·2 answers
  • What is the approximate value of V 42 ?<br> A) 5.5<br> B<br> 6.5<br> C) 7.5<br> D<br> 21
    8·1 answer
  • Please can someone help me with this question
    13·2 answers
  • 1.5x - 2.5. x=3. (show work)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!