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NikAS [45]
4 years ago
5

Factor by grouping. Then supply the term that is missing below. 2mn-3m+8n-12=(m+4)(?-3) The missing term ? = _____.

Mathematics
1 answer:
Degger [83]4 years ago
4 0
2mn - 3m + 8n - 12

Let's group the first two terms together and the last two:

2mn - 3m and 8n - 12

In the first group, m is the greatest common factor.

m(2n - 3)

In the second group, 4 is the greatest common factor.

4(2n - 3)

Therefore, (m + 4) and (2n - 3) are our factors. Our missing term is 2n.
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A women made a deposit of $196.If her deposit considered of 60 bills, some of them one-dollar bills and the rest being five-doll
raketka [301]
Answer: 26 pieces of $1 bill and 34 pieces of $5 bill

Total Deposit = $196
Total Bills = 60 pieces
Value of $1 = $1
Value of $5 = $5

Lets assume all the 60 pieces were $1 bill.
The total deposit will be 60 x $1 = $60

But we know that the total deposit is $196. So the extra value must have come from the $5. 

$196 - $60 = $136
There is still an outstanding amount of $136 not accounted for.

$5 - $1 = $4
The difference in the two bills is $4

Now we can find out the number of $5 bill by dividing the extra $136 by 4:
136 ÷ 4 = 34 pieces

There are 34 pieces of $5 bill.

Since there are 34 pieces of $5, the rest must be the $1 bill
60 - 34 = 26

There are 26 pieces of $1 bill.

------------------------------------------------------------------------------------
Answer: 26 pieces of $1 bill and 34 pieces of $5 bill.
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7 0
3 years ago
Y = –2x − 2<br> y = –3x − 8
Brut [27]

Answer:

intersect at (10,-6)

Step-by-step explanation:

8 0
3 years ago
Set up a proportion and use cross multiplication to solve. 22% of 50 is .a0
solniwko [45]
The answer is 11. 0.22 x 50 is 11.
7 0
3 years ago
Read 2 more answers
If ON = 9x – 4, LM = 8x + 7, NM = x – 3, and OL = 4y – 8, find the values of x and y for which LMNO must be a parallelogram.
sladkih [1.3K]
X=11 y=4 :) i need 20 characters so im randomly typing

5 0
3 years ago
Read 2 more answers
Given f(x) = x2 − 4x + 5, find each value. a. f(2) b. f(−6)
Oksana_A [137]

Answer:

This problem requires you to plug in the values to get an answer.

f(2)=1

f(-6)= 65

Step-by-step explanation:

You need to plug in each value in the equation.

f(2) = 2^{2} - 4(2) + 5

f(2) = 4 - 8 + 5

f(2) =  - 4 + 5

f(2) = 1

For f(-6):

f( - 6) = ( - 6)^{2} - 4( - 6) + 5

f( - 6) = 36 + 24 + 5

f( - 6) = 65

7 0
3 years ago
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