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guapka [62]
4 years ago
9

Is 4y=2x Proportional or Non-proportional

Mathematics
1 answer:
Ilia_Sergeevich [38]4 years ago
3 0
This is proportional since rearranging it would get x/y = 2, which is an example of direct proportionality.
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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
X=-y+3,3x-2y=-1 use substitution to solve the equation
4vir4ik [10]

Answer:

{x,y} = {1,2} I believe <3

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Help Plzzzzzzzzzzzzzzzzzzz
svetlana [45]

Answer:

C

Step-by-step explanation:

"binomial" the operation between two terms (B or C)

"3rd degree binomial" the highest degree of the polynomial's monomials (individual terms) with non-zero coefficients have to be "3"

6 0
3 years ago
Rachel read 30 minutes for every 10 minutes that she spent watching television. Nicolas read 45 minutes for every 15 minutes tha
stich3 [128]

Answer:

B.different

Step-by-step explanation:

Rachel read 30 minutes for every 10 minutes that she spent watching television

30 - 10 = 20

Nicolas read 45 minutes for every 15 minutes that he watched television

45 - 15 = 30

Hope It Helps Friend :)

4 0
3 years ago
Factor 9x^2+66xy+121y^2
Korvikt [17]
Answer: (3x + 11y)^2

Demonstration:

The polynomial is a perfect square trinomial, because:

1) √ [9x^2] = 3x

2) √121y^2] = 11y

3) 66xy = 2 *(3x)(11y)

Then it is factored as a square binomial, being the factored expression:

 [ 3x + 11y]^2

Now you can verify working backwar, i.e expanding the parenthesis.

Remember that the expansion of a square binomial is:

- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2

=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.

7 0
4 years ago
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