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Lostsunrise [7]
3 years ago
5

Please explain your answer.

Mathematics
1 answer:
guapka [62]3 years ago
8 0
I think that the answer would be B beacuse both of them are negitive
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A truck that is 12 ft. by 10 ft. by 15 ft. carries cube
kvasek [131]

Answer: 284 boxes in the shape of the cubes can be fitted in the truck.

Step-by-step explanation:

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

                                                  = 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                             = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x =  960/3.375

x = 284.44

x ≈ 284

    Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

5 0
1 year ago
Read 2 more answers
Y=2x-3<br> y=x+2 system of equations
irina1246 [14]

Answer:

x = 5

y = 7

Step-by-step explanation:

<em>Since they are both equal to </em><em>y</em><em>, we can set them equal to each other.</em>

2x - 3 = x + 2

<em>Combine like terms and isolate the </em><em>x</em><em>.</em>

x = 5

<em>Plug in the x to either equation to get the value of </em><em>y</em><em>.</em>

y = (5) + 2

y = 7

6 0
3 years ago
Convert y =(x+1)(x-9) to vertex form
IgorC [24]

Answer:

y = (x - 4)² - 25

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

y = (x + 1)(x - 9) ← expand factors using FOIL, thus

y = x² - 8x - 9

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

y = x² + 2(- 4)x + 16 - 16 - 9

  = (x - 4)² - 25 ← in vertex form

5 0
3 years ago
X/2+1=6 i need help please
jasenka [17]

Answer:

x = 10

Step-by-step explanation: 10/2 = 5 + 1 = 6

8 0
2 years ago
Read 2 more answers
Please help me fill in the blanks :) ​
guapka [62]

Answer:

Absolute value is the distance from numbers on a number line. The absolute value of -7 is 7 b/c it is 7 units from 0. The absolute value of 5 is 5 b/c it is 5 units from 0.

A negative number is a number that is negative. On a horizontal number line negative numbers are to the left.

A positive number is a number that is positive. On a horizontal number line positive numbers are to the right.

I don't understand the last paragraph though. Hope this helped :D

Step-by-step explanation:

4 0
2 years ago
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