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scZoUnD [109]
3 years ago
5

Which of the follwing equations has a quotient with a remainder?

Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer: Choice 2) A, B, C

====================================

Explanation:

Use a calculator to find that,

  • 946/32 = 29.5625
  • 1157/11 = 105.1818 approximately
  • 3524/44 = 80.0909 approximately
  • 37392/82 = 456

The first three results have a decimal portion as the answer. So there is a remainder here. The remainder is the leftover bit that couldn't make another full value. Only choice D results in a whole number that isn't a decimal value, so this does not have a remainder.

As a smaller example, let's say we had 20 cookies and 3 people. If we want to divide the cookies evenly, then each person gets 20/3 = 6 full cookies and there would be 2 cookies left over (6*3 = 18 are eaten so 20-18 = 2 is left over). Notice that 20/3 = 6.67 approximately. The non-whole number decimal value indicates we have a remainder. If we had 21 cookies, then each person gets 21/3 = 7 full cookies with nothing left over, so there's no remainder here.

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Kamal wrote the augmented matrix below to represent a system of equations
ra1l [238]

Consider the operation is R_2\to -3R_2.

Given:

The augmented matrix below represents a system of equations.

\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

To find:

Matrix results from the operation R_2\to -3R_2.

Step-by-step explanation:

We have,

\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

After applying R_2\to -3R_2, we get

\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right]

\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right]

Therefore, the correct option is A.

3 0
3 years ago
A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza cost $8. Each additional inch cost
Katyanochek1 [597]

A pizza shop sells pizzas that are 10 inches orr larger. A 10-inch cheese pizza costs $8 and each additional costs $1.50 and each additional topping costs $0.75.

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Micheal has saved 27 quarters from washing cars. Micheal has 675 cents

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puteri [66]

Answer:

84:56, I think?

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