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Slav-nsk [51]
3 years ago
7

1. Vinay applied the distributive property to the equation -5(m - 2) - 25. His equation then became --5m + 10 = -125. Did he app

ly the distributive property correctly?
Explain
Yes. When using the distributive property you need to multiply all the terms in the equation by the number that is in front of the parentheses.
No. The product of -5 and 25 is 125, not - 125.
No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.
Yes. Vinay multiplied the terms on the left-hand side of the equation by -5, which is what you are supposed to do.
Mathematics
1 answer:
Ahat [919]3 years ago
8 0

Answer:

  • C. No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.

Step-by-step explanation:

<u>Proper application of the property:</u>

  • - 5(m - 2) - 25 = -5m - 5(-2) - 25 = -5m + 10 - 25 = -5m - 15

Vinay multiplied 5 and 25 as well, which is incorrect.

Correct answer choice is C.

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DedPeter [7]

Answer:

The correct value is 12.

7 0
3 years ago
In the wheel of woohoo game I'm taking a chance on a spinner with 20 outcomes if it lands on an even number I'll win a prize How
Aloiza [94]

Answer:  The chance here to win is 50%.


Step-by-step explanation:   You are taking a chance on a spinner with 20 outcomes. So, we will be considering natural numbers from 1 to 20.

And also, you will a prize if you land on an even number, so we will calculate the probability of getting an even number.

From 1 to 20, there are 10 odd numbers and 10 even numbers out of total 20 numbers.

Let us define the following events -

A = event of getting an even number

and

B = event of getting an odd number.

So, n(A) = 10  and  n(B) = 10.

So, the probability of getting an even number is given by

p(A)=\dfrac{n(A)}{n(A)+n(B)}=\dfrac{10}{10+10}=\dfrac{10}{20}=0.5=50\%.

Thus, the required chance of winning a prize is 50%.



4 0
3 years ago
Read 2 more answers
PLEASE HELP MEEEE HURRRY!!! :)
sammy [17]

Answer:

Option D

Step-by-step explanation:

We are given the following equations -

\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}

It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -

\begin{bmatrix}-5&-12&-43&-136\\ -4&-14&-52&-146\\ 21&72&267&756\end{bmatrix}  First, I swapped the first and third rows.

\begin{bmatrix}21&72&267&756\\ -4&-14&-52&-146\\ -5&-12&-43&-136\end{bmatrix}  Leading coefficient of row 2 canceled.  

\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ -5&-12&-43&-136\end{bmatrix}  The start value of row 3 was canceled.

\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ 0&\frac{36}{7}&\frac{144}{7}&44\end{bmatrix}       Matrix rows 2 and 3 were swapped.

\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\end{bmatrix}      Leading coefficient in row 3 was canceled.

\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}

And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -

\begin{bmatrix}1&0&-1&0\\ 0&1&4&0\\ 0&0&0&1\end{bmatrix}

The positioning of the zeros indicated that there was no solution!

<u><em>Hope that helps!</em></u>

6 0
3 years ago
How many inches are there in 4.5 feet ?
Inessa [10]
54 inches

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8 0
3 years ago
Please answer the equation in the attachment.
MariettaO [177]

Answer:

the missing value is 9.33.

Step-by-step explanation:

given,

length (l) = 3x+2

breadth (b) = 4

perimeter(P) = 68 cm

now,

P = 2(l+b)

or, 68 = 2× ( 3x+2+4)

or, 68 = 2× ( 3x+ 6)

or, 68 = 6x+12

or, 68 - 12= 6x

or, 56 = 6x

or, 6x = 56

or, x = 56/6

or, x = 9.33

7 0
3 years ago
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