A shipping container will be used to transport several 120-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 25500
kilograms. Other shipments weighing 14500 kilograms have already been loaded into
the container. What is the greatest number of 120-kilogram crates that can be loaded
into the shipping container?

Answers

Answer 1

Answer: 91 crate

Step-by-step explanation:

weight preloaded=

14500

weight per crate=

120

weight capacity=

25500

Method 1 (Unwinding):

weight of all crates=

weight capacity−weight preloaded

=

=

25500−14500

=

11000

number of crates=

weight per crate

weight of all crates

=

=

120

11000

=

91.666666...

Technically, 91.666666... is the greatest number of crates that can be loaded into the shipping container. But you can't load part of a crate. The true maximum is the highest whole number below 91.666666..., which is 91.

Method 2 (Algebra):

c= number of crates

The greatest weight means less than 25500 kilograms can also be loaded into the container, so we will use the \leq≤ ("less than or equal to") symbol:

120c+14500≤

25500

−14500=

−14500

\color{red}{120}c\leq

120c≤

11000

120

11000

Divide both sides by 120

c ≤ 91.666666...

Technically, 91.666666... is the greatest number of crates that can be loaded into the shipping container. But you can't load part of a crate. The true maximum is the highest whole number below 91.666666..., which is 91.


Related Questions

50% of 200: fifty percent of two-hundred is?

Answers

Answer:

100

Step-by-step explanation:

Answer:

its 100

Step-by-step explanation:

x(2x + 1)^-2/3 + (2x + 1)^1/3 Factor completely

Answers

The complete factor is (2x+1)/(2x+1)^2

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

X= 1/(2x+1)^2/3+(2x+1)^1/3

(3)^-2=1/3^2

The complete factor form is

x/(2x+1)^2/3+(2x+1)^1/3

=1 x+(2x+1)^2/3×(2x+1)^1/3/

(2x+1)^2/3

x+(2x+1)^2/3+1/3 =3/3=1

/

(2x+1)^2/3

X+(2x+1)/(2x+1)/(2x+1)^2/3

3x+1/(2x+1)^2/3 (Ans)

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find the mode and median of the data 12 16 12 14 12 15 15
find the mode and median of the data 12 16 12 14 12 15 15 ​

Answers

Step-by-step explanation:

1. mode is the value which appears most

mode = 12

median is the value in the

middle

median = 14

2. mode = 12

median = 14

Write a linear equation that passes throughthe point (2, -9) and has a slope of -5 in slope-intercept form. Help pls

Answers

plug the x and y in the slop intercept form (y=mx+b) so it becomes -9= -5(2)+b solve for b. b=1 so the answer is y= -5x+1

Scientists often write very large or very small numbers using exponents. How might a scientist write the number shown using exponents?

Answers

Answer:

It makes comparing magnitudes easier. It is much easier to estimating numbers easier. you can easily say that 0.0000000009 is smaller than 0.0000001 and even say but how much, and it reduces the amount of time you have to read the number, since instead of having 0s, you have the amount of 0s.

Can anyone help solve for x? It’s additional maths so i can’t use a graphing calculator. Please explain steps

Answers

Answer:

x= 5/8 or x=3

Step-by-step explanation:

Please see the attached picture for the full solution.

So I need help because real life problems are my literal weakness..

1. You have $20 to purchase hot dogs that cost $2 and hamburgers that cost $5. The equation 2x + 5y = 20 represents all the combinations of hot dogs (x) and hamburgers (y) available. Does equation 2x + 5y = 20 represent a linear function? Make a table, and graph to justify your claim. Then clearly state your claim and provide a complete justification.

Answers

Answer:

Sorry

Step-by-step explanation:

Darryl uses a 56N force to push a boulder off a cliff that is 425m tall. What is the work done on the boulder? Show your work.

Answers

Work done = Force x Distance
= 56N x 425m
= 23,800 Joules

As society advances, what changes to the percentage sales tax structure do you envision will need to be adjusted and what would be the best way to make the adjustment?

Answers

As society gets more advanced, there would need to be a change to the percentage tax structure to make it more progressive so that the rich pay more taxes.  

The best way to make this adjustment is by passing laws.

How should taxes change as society advances?

As the society advances, there will be those who are richer and wealthier than others. They would need to take more care of society and the people who are not as fortunate as them because society would become more empathetic.

For this to happen, society would have to enact progressive tax rates where people who are wealthier pay more. This adjustment is best done by passing relevant taxation laws.

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11+x+13=40

Challenge of the day

Answers

Answer:

11+x+13=40

Step 1: Simplify both sides of the equation.

11+x+13=40

(x)+(11+13)=40(Combine Like Terms)

x+24=40

x+24=40

Step 2: Subtract 24 from both sides.

x+24−24=40−24

x=16

Answer:

x = 16

Step-by-step explanation:

11 + x + 13 = 40

x + 24 = 40

x = 40 - 24

x = 16

Thus, The value of x is 16

-TheUnknownScientist

Help fast plz 2. (04.01 LC)
Which set of ordered pairs represents a function? (1 point)
O (o, 1), (1, 3), (1, 5). (2, 8))
O (0, 0), (1, 2), (2, 6), (2, 8)}
O {(0, 0), (0, 2), (2, 0), (2, 4)}
O (o, 2), (1, 4), (2, 6), (3, 6)}

Answers

Answer:third option did test got it right

Step-by-step explanation:

Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells then for $2.00 each. What is the relationship the amount of candy sold and the amount of money earned? (Multiple answer choice)

a. The relationship is linear
b. The relationship is non-linear
c. The relationship is proportional
d. The relationship always results in a positive profit.
e. The relationship always results in a negative profit

Answers

Answer:

e. The relationship always results in a negative profit

b. The relationship is non-linear

Step-by-step explanation:

From the question above it could be found that, the relationship always result in negative profit. This is because:

To the school purchase,

Selling price of Candy bars in a box = $20.00

On the other hand,

Each Candy bar cost = $2.00

No of Candy bars in a box = 15

Total cost = $2.00 x 15 = $30.00

Loss (negative profit) = Total cost - Selling price

= $30.00 - $20.00 = $10.00

This also shows that, the relationship is non-linear because there is no direct relationship between the selling price and the expected profit that was supposed to have been earned.

A rice merchant purchased 50 bags of rice at rupees 300 per back he spent 500 rupees towards transportation due to lack of demand for the Rice incurred a loss of 30% at what price should he sell it is bag of rice.

Plz put the answer with clear explanation.​

Answers

Answer:

10500 rupees

Step-by-step explanation:

So 50 bags 300 per pack so

300*50= 15000

15000 is what he spent on the 50 bags of rice

So he spent 500 rupees on transportation

15000 + 500 = 15500 total spent which is not needed but extra information

30% loss is 30% of 15000 so

30% of 15000 = 4500

15000 - 4500 = 10500 rupees

an elevator can carry 800 of weight. A football player weighting 280 pounds gets on the elevator with a student. Write and solve an inequality to represent the remaining weight that can be added.

Answers

Answer:

[tex]425\geq x[/tex]

425 pounds or less can be added after the student and football player.

Step-by-step explanation:

let x = remaining weight

(note that >/= is greater than or equal to.)

800 - 280 - 95 >/= x

425 >/= x

please help meeeeeee​

Answers

Answer: its 1/4 per minute i took the test

Step-by-step explanation:

how to solve this. please help me ASAP. vector chapter​

Answers

Answer:

1) m = -1

2) k = -2; h = -8

Step-by-step explanation:

................

The square root of the product of the number z and itself ​

Answers

Answer:

z

Step-by-step explanation:

z . z = z² and √z² = z

Solve for y
-4(y + 5) +-18--10

Answers

Y=12

See image for step by step

the price of a 5-minute call is 1.50 what is the price of a 12-minute call

Answers

Answer:

3.70

Step-by-step explanation:

3.60

1.50/5 to figure out how much money is every minute which is $0.3

multiple 0.3 x 12 and you get $3.60

The ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, how
may are trucks?

Answers

Answer:

135

Step-by-step explanation:

3+5=8. 360÷8=45. 45×3=135

If the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, then there are 225 trucks

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The ratio of cars to trucks in the parking lot is 3:5.

there are 360 vehicles in the parking lot

(360-x)/x=3/5

Cross Multiplication

5(360-x)=3x

1800-5x=3x

1800=8x

x=225

So there are 225  trucks.

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I’mstuckkk please help

Answers

Answer:

Below -2: -2.5, -4.5

Between -2 and 1: -0.5, 0.5,

Above 1: 1.5, 4

Step-by-step explanation:

-2.5 and -4.5 are lesser than -2.

-0.5 and 0.5 are less than 1 but more than -2.

1.5 and 4 are more than 1.

Answer:

Below -2

-4.5, -2.5

Between -2 and 1

-0.5, 0.5

Above 1

1.5, 4

Step-by-step explanation:

Vertical Number line is similar to the horizontal one (Use the graph for more info)

1.5, 4, -0.5, -2.5, 0.5, -4.5

Below -2

-4.5, -2.5

Between -2 and 1

-0.5, 0.5

Above 1

1.5, 4

How do you write the difference of a number 11 and d

Answers

To find the difference between 2 values you would subtract.

You would write this as 11-d

Answer: 11-d


Explanation: We know to set up a subtraction equation because the key word difference which means we subtract have a nice day (:

The relationship below shows the relationship between players and the
average number of points they score per game. Based on the trendline, if
a male basketball player is 6 feet 5 inches tall, which is the most
reasonable prediction for the number of points her will score in a game? *

Answers

Answer: well in the chart you can see

It would be 27 parts for example with all the dots one dot is more in a diffrent form and that form would be 27

Hope I helped :)

OK NOW CAN SOME ANSWER IT

Answers

Answer:

25 coin tosses is the ans

Answer: 25 coin tosses

Step-by-step explanation: hope this helps!

The amount of money in a savings account after t years is represented by the function f(t)=500(1.015)t.

What does the value 500 represent in this situation?




The amount of money in the savings account increases by $500 each year.

The amount of money in the savings account is 500 times the amount of the previous year.

The amount of money in the savings account decreases by $500 each year.

The initial amount in the account is $500.

Answers

Answer:

It should be the amount of amount of money that increases by 500$ each year

Step-by-step explanation:

after t years is represented

Answer: I just did the test and the answer is "The initial amount in the account is $500."

Step-by-step explanation:


Sabrina made three kinds of jewelry. She made 5 bracelets, 8 necklaces, and 3 rings. Alex made twice as many pieces of jewelry as
Sabrina. How many pieces of jewelry did Alex make?

Answers

Answer:

32

Step-by-step explanation:

2 * (5 + 8 + 3) = 2 * 16 = 32

The answer is 32. 5•2= 10 8•2=16 3•2=6. 10+16+6=32

pamela ran 7/10 mile on Tuesday and 3/8 mile on Thursday. How much fatter did she run on Tuesday ?

Answers

Answer:

[tex]Difference = \frac{13}{40}[/tex]

Step-by-step explanation:

Given

[tex]Thursday = \frac{3}{8}\ mile[/tex]

[tex]Tuesday = \frac{7}{10}\ mile[/tex]

Required

How much farther is she on Tuesday

To do this, we simply calculate the difference between distance covered on both days.

[tex]Difference = Tuesday-Thursday[/tex]

[tex]Difference = \frac{7}{10} - \frac{3}{8}[/tex]

Take LCM

[tex]Difference = \frac{28- 15}{40}[/tex]

[tex]Difference = \frac{13}{40}[/tex]

Hence, she ran 13/40 mile farther on Tuesday

Suppose a radioactive substance has a half-life of 1000 years. What fraction will be left after 1000 years?

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The half life is the amount of time it takes a substance to decay to half of its original amount.

Since the radioactive substance has a half life of 1000 years, there will be half of it left after 1000 years.

So, the fraction that will be left after 1000 years is [tex]\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

so if u do the waffalineneh times by arcimate it would equivently be the answer on top

PLEASE HELP URGENTTTTT

Answers

Answer:

8

Step-by-step explanation:

Because its a 2,2

Ten students are chosen from a statistics class of 22 students. Let X be the number who got an "A" in the class. Is this a binomial distribution, and if so, what is the number of trials?

Answers

Answer:

Yes, this is a Binomial distribution, and the number of trials is 10.

Step-by-step explanation:

From the given information:

We are being told that ten students are chosen from a statistics class of 22 students.

If X represents the random variable for the number of students who got an "A" in the class.

Then we have two possible outcomes;

Number of students that got an "A" = (Success)

Number of students that did not get an "A" = (Failure)

Thus,  this is a Binomial distribution because it consists of two outcomes, and the number of trials is 10.

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