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 24000
kilograms. Other shipments weighing 5900 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:

150.833... or 150 and 5/6 crates

Step-by-step explanation:

We can create an equation to solve this.

Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.

120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)

We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.

120x = 18100

Now we just have to isolate x by dividing by 120.

x = 150.83333333333333333333333333333

If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.


Related Questions

16 31 Here is a compound shape made from two rectangles. - 6 cm 4 cm NOT DRAWN 9 cm TO SCALE 12 cm n ek NO ME (a) Calculate the perimeter of the shape. cm (1 EN UN​

Answers

Answer:

Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm

The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again

“In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides.” a. 5 cm, 12 cm, 13 cm b. 4 cm, 5 cm, 7 cm c. 3 cm, 4 cm, 5 cm d. 9 cm, 12 cm, 15 cm

Answers

The statement "the square of the longest side is equal to the sum of the squares of the two shorter sides" is true for a right-angled triangle.

(a) 5 cm, 12 cm and 13 cm

The statement is represented as:

[tex]\mathbf{13^2 = 12^2 + 5^2}[/tex]

[tex]\mathbf{169= 144 + 25}[/tex]

[tex]\mathbf{169= 169}[/tex]

Hence, the statement is true for triangle (A)

(b) 4 cm, 5 cm and 7 cm

The statement is represented as:

[tex]\mathbf{7^2 = 5^2 + 4^2}[/tex]

[tex]\mathbf{49 = 25 + 16}[/tex]

[tex]\mathbf{49 = 41}[/tex]

Hence, the statement is not true for triangle (B)

(c) 3 cm, 4 cm and 5 cm

The statement is represented as:

[tex]\mathbf{5^2 = 4^2 + 3^2}[/tex]

[tex]\mathbf{25 = 16 + 9}[/tex]

[tex]\mathbf{25 = 25}[/tex]

Hence, the statement is true for triangle (C)

(d) 9 cm, 12 cm and 15 cm

The statement is represented as:

[tex]\mathbf{15^2 = 12^2 + 9^2}[/tex]

[tex]\mathbf{225 = 144 + 81}[/tex]

[tex]\mathbf{225 = 225}[/tex]

Hence, the statement is true for triangle (D)

Read more about triangles at:

https://brainly.com/question/19182121

if 126 base n =86 base ten, find the positive value of n​

Answers

Answer:

8

Step-by-step explanation:

If a small boy in 30 days saved 1.00 to spend how much did he save each day

Answers

Answer:5 Penny's everyday for thirdy days

Step-by-step explanation:

in 4567 which number means ones?​

Answers

Answer:

7 means ones because it is the units

Step-by-step explanation:

4= thousand

5= hundred

6= tens

7=ones / unit

First number 4 thousand second number means hundred third numbers means tens and fourth number means ones

Find k if X=2 and y=1 is a solution of 2x-8y+k/2=0​

Answers

Answer:

k=2

Step-by-step explanation:

2x-8y+k/2=0

puting the values of x and y

2*2-8*1+k/2=0

4-8+k/2=0

-4+k/2=0

k/2=4

sing changes if side changed

k=4/2

k=2

We first substituted the X and Y in the equation, so 2 instead of X and 1 instead of Y.

Then I moved the K to make it the subject of the equation by algebra which gave me a -K, but I want k not negative k so I multiplied everything by -1 because, -1 × -1= +1 so K=2.

Any helpp? someone....?

Answers

Answer:

I think that the speed is 65mph, because there is the largest number of people on the graph for 65mph.

Step-by-step explanation:

A pair of adjacent angles that form a straight line

Answers

Answer:

it is called a linear pair.

mark brainliest pls

Answer:

lianer lines

Step-by-step explanation:

PLEASE HELP WITH ALL!!!

Answers

Answer:

3)x=-9

4)x=-2

5)x=-4

6)x=-5

7)x=-12

8)x=-11

Step-by-step explanation:

Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
a. compounded semiannually
b. compounded quarterly
c. compounded monthly
d. compounded continuously.

---Round answers to nearest cent

Answers

Answer:

See below

Step-by-step explanation:

Given:

Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055

a. compounded semiannually, n = 2

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88[/tex]

b. compounded quarterly, n = 4

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30[/tex]

c. compounded monthly, n = 12

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44[/tex]

d. compounded continuously

[tex]A = Pe^{rt}=20000*e^{0.055*7}=29392.29[/tex]

A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes up heads half of the trials or more. Give answer to at least three decimal points.

Answers

Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x) p = probability of success = 0.4q = 1 - p = 0.6n = number of trials = 100

P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)

Using a binomial probability calculator :

P(x ≥ 100) = 0.0271

Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271

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If a person can paint a hall in 10 hrs, what is her rate?

Answers

I don't know if this is a question that deserves an answer but I say a 2 out of 5 .

HELPPP THIS IS SO HARD Keegan and Jeff did some research and found that there are approximately 7,492,000,000,000,000,000 grains of sand on Earth. Jeff says that it is about 7 × 10(15) grains of sand. Keegan says that this is about 7 × 10(18) grains of sand.



Guys please add the step by step so they dont know im cheating

Answers

Answer:

Keegan is correct.

Step-by-step explanation:

Keegan is correct.

Put a decimal point after the first digit which is 7. Count decimal places there are after the 7, this will be your power of 10. There are 18 decimal places after the 7. This means the answer would be 7 x 10^18.

Basically, Keegan is right

when you present 7,492,000,000,000,000,000 in standard form, it is indeed, 7×10¹⁸, the reason Jeff is wrong is because he only counted Os and not the numbers 492 which Keegan rounded to Os. Ok, to simply this 7×10¹⁵ equals 7 000 000 000 000 000, and 7×10¹⁸ is 7 000 000 000 000 000 000 while is closer to thee original answer than Jeff's response.

Please mark BRAINLIEST if you're satisfied with this explanations.

Please help guys this is hard for my 3rd grader Brain

Answers

Answer:

Add/multiply the exponents first.

Step-by-step explanation:

Solve.
-3.7 =-5.4x – 5.5
Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

[tex] - \frac{1}{3} [/tex]

Step-by-step explanation:

[tex] - 3.7 = - 5.4x - 5.5 \\ - 3.7 + 5.5 = - 5.4x \\ 1.8 = - 5.4x \\ \ - \frac{1.8}{5.4} = x = - \frac{1}{3} [/tex]

Archimedes drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed. How much water was initially in the tub?

Answers

Answer:

y+zx=a (see below for variables

Step-by-step explanation:

You haven't attached an image, so I'll I assume you want the equation

y is amount of water, x is time, z is water drained per minute, and a is the original amount o water

y=a-zx

rearranging it for the original amount of water

y+zx=a

Answer:

360 liters

Step-by-step explanation:

The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.

6. Three cards are drawn from an ordinary deck and not replaced. What is the
probability of getting 3 spades?

Answers

We want to find the probability of randomly drawing 3 spades from a standard deck.

The probability of getting 3 spades is 0.0129

Let's see how to get that probability.

A standard deck has 52 cards, 13 of them are spades.

The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.

So for the first spade card, the probability is:

p = 13/52

For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:

q = 12/51

For the final card, there will be 11 spade cards and 50 cards in total, but we will have:

k = 11/50

The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:

P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129

The probability of getting 3 spades is 0.0129

If you want to learn more, you can read:

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Heyyy , help maybe please and thanks

Answers

Answer:

brian drink 7 cups of milk

Step-by-step explanation:

solve for a if 2a²+2a+1=o​

Answers

Answer:

guath math

Step-by-step explanation:

There is an app called guath math and it shows you all the steps and everything to a math problem just by scanning it. Also it is fast than asking people on brainly;

5x + 2 = 3x + 4(2x - 1)

show steps

Answers

Answer:

x=1

Step-by-step explanation:

5x+2=3x+4(2x-1)

5x+2=3x+8x-4

5x+2=11x-4

5x-11x=-4-2

-6x=-6

6x=6

x=1

Can an octagon have angles that measure 110°, 75°, 55°, 130°, 145°, 70°, 125°, and 70°?

Answers

Answer: 2.03

Step-by-step explanation:

Find the domain of Log (x-4)

Answers

Answer:Domain:  ( 4 , ∞ ) , { x | x > 4 }

Use finite approximation to estimate the area under the graph of f(x) = 5^2 and above the graph of f(x) = 0 from X(o) = 0 to x(n )= 14 using b) a lower sum with two rectangles of equal width. in) a lower sum with four rectangles of equal width. in) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width.​

Answers

Finite approximation method of estimating the area under the curve of the

given function makes use of rectangular approximation of the area.

The correct responses are;

i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.

ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.

iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.

Reasons:

The given function is f(x) = 5·x²

The given domain is x₀ to x₁₄

i) Estimate using lower sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(0) = 0

f(7) = 5 × 7² = 245

A = 0 × 7 + 245 × 7 = 1,715

The estimated area using a lower sum with two rectangles of equal width

is 1,715 square units.

ii) Estimate using lower sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(0) = 0

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25

The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) Estimate using an upper sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(7) = 5 × 7² = 245

f(14) = 5 × 14² = 980

A = 245 × 7 + 980 × 7 = 8575

The estimated area using an upper sum with two rectangles of equal width

is 8,575 square units.

iv) Estimate using an upper sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

f(14) = 5 × 14² = 980

A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25

The estimated area using a upper sum with four rectangles of equal width

is 6,431.25 square units.

Learn more here:

https://brainly.com/question/2264277

Need this by tomorrow please and thank you!​

Answers

Answer:

I think it's x=5

Step-by-step explanation:

3x+15=2x+20

-2x. -2x

x+15=20

-15. -15

x=5

sorry if is not the answer

Lena can knit 14 square inches of a blanket in 3 1/2 hours.

Find the number of square inches knit per hour and the number of hours spent knitting per square inch

Answers

Step-by-step explanation:

No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141

Step-by-step explanation:

We are given that Lena can knit 14 square inches of a blanket in hours

So, No. of square inches of knit per hour = 14

No. of hours spent in  knitting 14 square inch = 1

No. of hours spent in knitting 1 square inch = \frac{1}{14}141

So,  No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141

Please answer both of them questions please no links or you will be reported

Answers

if ur a u r so good but bot a good

What’s this answer ? will give ton of points!!!!!!!!!!

Answers

Answer:

268 cm^2

Step-by-step explanation:

Pink prism:

top: 2 cm * 2 cm = 4 cm^2

right, left, back, front: 4 * 2 cm * 6 cm = 48 cm^2

bottom: completely covered in connection to green prism

Total surface area of pink: 52 cm^2

Green prism:

bottom: 10 cm * 5 cm = 50 cm^2

front, back: 2 * 10 cm * 4 cm = 80 cm^2

right, left: 2 * 5 cm * 4 cm = 40 cm^2

top: 10 cm * 5 cm - 2 cm * 2 cm = 46 cm^2

Total surface area of green: 216 cm^2

Total surface area of composite solid:

52 cm^2 + 216 cm^2 = 268 cm^2

If a polyhedron has 11 faces and 18 edges, how many vertices does it have?

Answers

Use Euler's formula for polyhedra: V - E + F = 2  

vertices - edges + faces = 2  

So edges = vertices + faces - 2 = 18 + 11 - 2 = 27.  

Answer:

27 edges.

Select the two statements that are true about the equation y − 10 = 60(x − 40).

A. The slope of the line is 10.
B. The slope of the line is 60.
C. One point on the line is (40, 10).
D. One point on the line is (10, 60).

Answers

Answer:

The answer for this question is B and C

The answer is B and C

The equation above is in point slope form

y-y1=m(x-x1)

Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)

So thats why B and C is the answer!

brianlist me?

You save $3,260.00 in a savings account earning a 3.55% APR compounded monthly. How much is the total interest earned by the end of the third month?

A)$21.02

B)$28.59

C)$27.01

D)$23.56

Answers

Answer:

I think it would be this

Step-by-step explanation:

3,032,644 dollars left over. I am very sorry if I am wrong.

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