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Agata [3.3K]
1 year ago
12

Watch help videoA shipping container will be used to transport several 50-kilogram crates across thecountry by rail. The greates

t weight that can be loaded into the container is 24000kilograms. Other shipments weighing 11600 kilograms have already been loaded intothe container. Write and solve an inequality which can be used to determine x, thenumber of 50-kilogram crates that can be loaded into the shipping container.
Mathematics
1 answer:
Andreas93 [3]1 year ago
7 0

Total weight >= Already loaded weight + 50x

24000 >= 11600 + 50x

Inequality: 11600 + 50x <= 24000

Solving for x:

11600 + 50x <= 24000

50x <= 24000 - 11600 = 12400

50x <= 12400

x <= 12400/50 = 248

x <= 248

Answer:

Fist box.............. Inequality: 50x + 11600 <= 24000

Second box....... x <= 248

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If lateral surface area of cube is double then the ratio of volume of new cube to original cube ​
Solnce55 [7]

Answer:

  2√2

Step-by-step explanation:

The area ratio is the square of the side length ratio, so the ratio of side lengths is √2.

The volume ratio is the cube of the side length ratio, so the new cube has a volume that is (√2)³ times that of the original.

The volume ratio is 2√2.

3 0
3 years ago
Whats 15-b=4b-5(5-3)
Gala2k [10]

15-b=4b-5(5-3)

Multiply the bracket by -5

(-5)(5)=-25

(-5)(-3)=15

15-b=4b-25+15

15-b=4b-10

Move 15 to the other side

Sign changes from +15 to -15

15-15-b=4b-10-15

-b=4b-25

Move 4b to the other side.

-b-4b=4b-4b-25

-b-4b=-25

-5b=-25

divide both sides by -5

-5b/-5=-25/-5

Answer: b=5

5 0
3 years ago
A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what i
Usimov [2.4K]

Answer:

The area is: 77x^2 + 105x + 28, option b.

Step-by-step explanation:

Rectangular area:

The area of a rectangular space is given bt the multiplication of its measures.

Area of the roof:

Dimensions of 10x + 8 and 8x + 6. So

A_{r} = (10x+8)(8x+6) = 80x^2 + 60x + 64x + 48 = 80x^2 + 124x + 48

Area of the skylight:

Dimensions of x + 5 and 3x + 4. So

A_{s} = (x+5)(3x+4) = 3x^2+4x+15x+20 = 3x^2 + 19x + 20

What is the area of the remaining roof after the skylight is built?

Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So

A_{r} - A_{s} = 80x^2 + 124x + 48 - (3x^2 + 19x + 20) = 80x^2 - 3x^2 + 124x - 19x + 48 - 20 = 77x^2 + 105x + 28

The area is: 77x^2 + 105x + 28, option b.

3 0
3 years ago
3 &lt; -5n + 2n Please show your work! Just in number form!
vovangra [49]

Answer:

[See Below]

Step-by-step explanation:

✦ Combine like terms:

  ✧ -5n + 2n = -3n

✦ Rewrite:

  ✧ 3 < -3n

✦ Divide:

  ✧ 3 / -3 = -1

So n = -1.

~<em>Hope this Helps Mate. If you need anything feel free to message me. </em>

8 0
3 years ago
Read 2 more answers
X+2(x+y)=7<br> 3(x-y)=1-2y<br><br> What is x&amp;y????<br><br><br><br> Please answer asap!!!!
Shkiper50 [21]
X= -x over 2 (negative x as a fraction and 2 is the denominator) minus y+ (seven as the numerator over 2 as the denominator).
Solve for y by simplify both sides with inverse operations, then isolate the variable and you get,  y = 3x - 1.
4 0
3 years ago
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