marykayy0218own5cp
24.12.2020 •
Mathematics
Which expressions are factors of the expression
-24xyz - 12xy + 20xyz
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Ответ:
xy
2xy
4
Step-by-step explanation:
A factor is a number of term you can factor out of each part of the expression/ or divide it by.
In -24xyz - 12xy + 20xyz
All three parts have xy, so it is a factor
All three don't have 12xz, because -12xy doesn't have z variable for instance.
All three have 2xy.
All three can't factor out 3y, because you can't divide 20 by 3 nicely.
All three can't factor out 4yz, because middle term -12xy doesn't have z.
All three can't factor out 12, because you can't nicely divide 20/12.
All three can factor out 4, because -24, -12, and 20 are all divisible by 4.
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Ответ:
4 bags of crackers and 8 bags of pretzels.
Step-by-step explanation:
Let number of crackers=c
Let number of pretzels=p
Tim is buying snacks for 12 people and each person gets only one snacks. Therefore:
c+p=12. (Equation 1)
Bags of pretzels costs $1.50 per bag.
Bags of crackers that cost $2.00 per bag.
Tim has $20 to buy snacks.
1.50p+2c=20. (Equation 2)
We then solve the two equations to find out how many bag of each type of snacks can be bought.
c+p=12.
1.50p+2c=20
From Equation (1), c=12-p
Substitute c=12-p into equation (2).
1.50p+2(12-p)=20
Opening the bracket
1.50p+24-2p=20
Next, I collect like terms
1.50p-2p=20-24
-0.5p=-4
Divide both sides by -0.5 to solve for p.
p=8.
Recall from Equation 1.
c=12-p =12-8=4
Therefore, Tim can get 4 bags of crackers and 8 bags of pretzels.