What is the volume of the rectangular prism?

Mathematics

1 answer:

-Dominant- [34]2 years ago

4 0

The answer would be 22.5

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A number when divided by 780 gives remainder 38 .What

baherus [9]

Given:

A number when divided by 780 gives remainder 38.

To find:

The reminder that would be obtained by dividing same number by 26.

Solution:

According to Euclis' division algorithm,

$a=bq+r$ ...(i)

Where, q is quotient and $0\leq r$ is the remainder.

It is given that a number when divided by 780 gives remainder 38.

Substituting $b=780,\ r=38$ in (i), we get

$a=(780)q+38$

So, given number is in the form of $780q+38$ , where q is an integer.

On dividing $780q+38$ by 26, we get

$\dfrac{780q+38}{26}=\dfrac{780q}{26}+\dfrac{38}{26}$

$\dfrac{780q+38}{26}=30q+\dfrac{26+12}{26}$

$\dfrac{780q+38}{26}=30q+\dfrac{26}{26}+\dfrac{12}{26}$

$\dfrac{780q+38}{26}=30q+1+\dfrac{12}{26}$

Since q is an integer, therefore (30q+1) is also an integer but $\dfrac{12}{26}$ is not an integer. Here 26 is divisor and 12 is remainder.

Therefore, the required remainder is 12.

4 0

3 years ago

Movie tickets and film streaming services are substitutes. If the price of film streaming increases, what happens in the market

tatuchka [14]

Answer:

D. The demand curve shifts to the right.

Step-by-step explanation:

Movie tickets and film streaming services are substitutes, so an increase in the price of film streaming will cause an increase in the demand for movie tickets. Thus, at any given price, the demand curve of movie tickets shifts to the right, for example from demand A to demand B or demand C. as in the attached figure.