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DanielleElmas [232]

3 years ago

12

Which of the following operations could you perform on both sides of the given equation to solve it? Check all that apply. 8x -

6 = 2x + 24

1 answer:

rodikova [14]3 years ago

7 0

It equals 26x because you add the 24 to the 2x

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Mkey [24]

Answer:

Option: A is correct.

A) a part of a line that has one endpoint and extends indefinitely in one direction

Step-by-step explanation:

" A ray is a line that starts at a given point and goes off for ever in some direction. It may pass through another point as it does so "

Hence, option A is correct.

( The definition of Ray is:

A) a part of a line that has one endpoint and extends indefinitely in one direction )

4 0

4 years ago

Multiply. {}=3\dfrac{1}{2} \times 3\dfrac12=3 2 1 ×3 2 1

Inessa [10]

I assume you mean the product of mixed numbers,

3 1/2 × 3 1/2

If we write this as

(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²

we can use the identity

(a + b)² = a² + 2ab + b²

so that

3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²

3 1/2 × 3 1/2 = 9 + 3 + 1/4

3 1/2 × 3 1/2 = 12 1/4

Alternatively, we can first write 3 1/2 as a mixed number:

3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2

Then

3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4

and

49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4

4 0

2 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

What is the value of the y in te equation y-13=57

12345 [234]

70 because 70 - 13 = 57

5 0

3 years ago

Read 2 more answers

On the graph of the equation 5x - y = 8, the point whose y-coordinate is 7 has an x-coordinates of ?

Lemur [1.5K]

Answer:

x = 3

Step-by-step explanation:

To find the x-coordinate, substitute y = 8 into the equation abd solve for x

5x - 7 = 8 ( add 7 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Thus (3, 7) is a solution to the equation

3 0

3 years ago

Read 2 more answers