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nasty-shy [4]
3 years ago
12

Simplify m - {n + [p - (m + n - p)]}. a. -2m + 2p b. 2m - 2p c. -2m - 2p

Mathematics
2 answers:
zzz [600]3 years ago
6 0

Answer:  The correct option is (b) 2m-2p.

Step-by-step explanation:  We are given to simplify the following expression:

E=m-\{n+[p-(m+n-p)]\}

We will be using the simple algebraic operations and the rule of BODMAS to simplify the above expression.

The simplification is as follows:

E\\\\=m-\{n+[p-(m+n-p)]\}\\\\=m-\{n+[p-m-n+p]\}\\\\=m-\{n+[2p-m-n]\}\\\\=m-\{n+2p-m-n\}\\\\=m-\{2p-m\}\\\\=m-2p+m\\\\=2m-2p.

Therefore, the simplified form is 2m-2p.

Thus, (b) is the correct option.

Vlad [161]3 years ago
5 0
To simplify the following expression, we first simplify the terms inside the parenthesis from inner going outer. The first one is [p - (m + n - p)] equal to p - m- n + p = 2p - m - n. Then, n +2p - m - n equal to 2p -m. Then, m -  2p + m equal to 2m -2p. Answer is B
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19. Evaluate: 5 x (8-4) ÷ 4 - 2
leva [86]

Answer:

3

Step-by-step explanation:

5\times (8-4)\div 4-2= \\\\\\5\times 4\div 4-2= \\\\\\20\div 4-2= \\\\\\5-2= \\\\\\\boxed{3}

Hope this helps!

6 0
3 years ago
Last year, a factory produced 126 widgets per day. After retooling, production increased to 189 widgets per day. What was the pe
lys-0071 [83]
<h3>Answer:   50%</h3>

Work Shown:

change = new - old = 189-126 = 63

percent increase = (change/old)*100%

percent increase = (63/126)*100%

percent increase = (0.50)*100%

percent increase = 50%

50% of 126 = 0.50*126 = 63

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The answer is confirmed.

5 0
2 years ago
What is the solution to this equation? 2x + 3 = x - 4
AfilCa [17]

Answer:

Step-by-step explanation:

First, isolate the variables onto one side of the equation.

2x + 3 = x - 4

(subtract x)

x + 3 = -4

Then, remove any remaining numbers.

(subtract 3)

x = -7

I hope this helps!

6 0
3 years ago
A sock drawer contains eight navy blue socks and five black socks with no other socks. If you reach in the drawer and take two s
Rzqust [24]

Answer:

a. the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

b. the probability of picking two navy or two black is

= 56/156 + 20/156 = 76/156 = 0.487

c. the probability of either 2 navy socks is picked or one black  & one navy socks.

= 40/156 + 56/156 = 96/156 = 0.615

Step-by-step explanation:

A sock drawer contains 8 navy blue socks and 5 black socks with no other socks.

If you reach in the drawer and take two socks without looking and without replacement, what is the probability that:  

Solution:

total socks = N = 8 + 5 + 0 = 13

a) you will pick a navy sock and a black sock?

Let A be the probability of picking a navy socks first.

Then P (A) = 8/13

without replacing the navy sock, will pick the black sock, total number of socks left is 12.

Let B be the probability of picking a black sock again.

 P (B) = 5/12.

Then, the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

b) the colors of the two socks will match?

Let A be the probability of picking a navy socks first.

Then P (A) = 8/13

without replacing the navy sock, will pick another navy sock, total number of socks left is 12.

Let B be the probability of another navy sock again.

 P (B) = 7/12.

Then, the probability of picking 2 navy sock = P (A & B)

= (8/13 ) * (7/12) = 56/156 = 0.359

Let D be the probability of picking a black socks first.

Then P (D) = 5/13

without replacing the black sock, will pick another black sock, total number of socks left is 12.

Let E be the probability of another black sock again.

 P (E) = 4/12.

Then, the probability of picking 2 black sock = P (D & E)

= (5/13 ) * (4/12) = 5/39 = 0.128

Now, the probability of picking two navy or two black is

= 56/156 + 20/156 = 76/156 = 0.487

c) at least one navy sock will be selected?

this means, is either you pick one navy sock and one black or two navy socks.

so, if you will pick a navy sock and a black sock, the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

also, if you will pick 2 navy sock, Then, the probability of picking 2 navy sock = P (A & B)

= (8/13 ) * (7/12) = 56/156 = 0.359

now either 2 navy socks is picked or one black  one navy socks.

= 40/156 + 56/156 = 96/156 = 0.615

4 0
2 years ago
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Serga [27]

Answer:

E that's the answer if reflected it'd look like a mirror image

8 0
2 years ago
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