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katen-ka-za [31]
3 years ago
8

Use the distributive property to solve the equation 2(m + 2) = 22. Describe what it means to distribute the 2 to each term insid

e the parentheses.
Mathematics
2 answers:
beks73 [17]3 years ago
5 0
It multiplies the m and 2 by the 2, giving the 2 to the 2 numbers in the parentheses, turning 2 (m+2) into 2×m and 2×2, getting 2m+4=22, and to get m, you first take away the 4 by subtracting 4 from both sides, then dividing 18 and 2m by 2 to get m=18
Mumz [18]3 years ago
3 0

Answer:

m = 9  

It means that you are multiplying each of the values inside the parentheses by 2.

Step-by-step explanation:

2(m + 2) = 22

2m + 4 = 22

2m + 4 - 4 = 22 - 4

2m = 18                           -Divide both sides by 2

m = 9


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Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these
earnstyle [38]

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}

Black-Blue:

14 out of 20, then 3 out of 12. So

P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

6 0
3 years ago
Which answer choice shows the number of hours in 51/2 days
liq [111]
Hey there,

The answer would be 132 hours..There is 24hours in a day so you multiply 24•5=120 then a half if a day is 12 hours, so you then add 12 to 120 which you get 132..
4 0
3 years ago
Camila Cabello wants to order cheesecakes over the internet. Each cheesecake costs $15.99 and shipping for the entire order is
ladessa [460]

Answer:

she can purchase 5 cheesecakes

Step-by-step explanation:

15.99*5=79.95

if we add 9.99 for the shipping of thw whole order

79.95+9.99=89.94

6 0
3 years ago
How many capulets and montages are there
Sophie [7]

Answer:

i think the answer would be 4c + 6m = 100, 8c + 12m = 200

Step-by-step explanation:

3 0
2 years ago
Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
NISA [10]

Answer:

\frac{\sqrt{\pi}}{4}

Step-by-step explanation:

You are going to integrate the following function:

g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}  (1)

furthermore, you know that:

\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}

lets call to this integral, the integral Io.

for a general form of I you have In:

I_n=\int_0^{\infty}x^ne^{-ax^2}dx

furthermore you use the fact that:

I_n=-\frac{\partial I_{n-2}}{\partial a}

by using this last expression in an iterative way you obtain the following:

\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}} (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}

5 0
3 years ago
Read 2 more answers
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