Let
x = loaves of bread
y = batches of muffins
You must make a system of two equations with two unknowns that describe the problem
3.5x + 2.5y = 17 --- (1)
0.75x + 0.75y = 4.5 --- (2)
Resolving we have
x = 6-y (from (2))
replacing in (1)
3.5 (6-y) + 2.5y = 17
21 - 3.5y + 2.5y = 17
y = 21-17 = 4
Then substituting in (2)
x = 6-y = 6-4 = 2
Answer
Helena could bake:
2 loaves of bread
4 batches of muffins
9514 1404 393
Answer:
x = -20
Step-by-step explanation:
First, simplify the equation. Eliminate parentheses and combine terms.
3(x -1) -8 = 4(1 +x) +5 . . . . . . . given
3x -3 -8 = 4 +4x +5 . . . . . . . . eliminate parentheses (distributive property)
3x -11 = 4x +9 . . . . . . . . . . . . combine like terms
We can put all the x-terms on the right by subtracting 3x from both sides.
3x -11 -3x = 4x +9 -3x
-11 = x +9
And we can get the x-term by itself by subtracting 9 from both sides.
-11 -9 = x +9 -9
-20 = x . . . . . . . . . . this is the solution
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<em>Check</em>
3(-20 -1) -8 = 4(1 -20) +5
3(-21) -8 = 4(-19) +5
-63 -8 = -76 +5
-71 = -71 . . . . . . . . . true, the answer checks OK
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<em>Additional comment</em>
We observe that the two x-terms are 3x and 4x. The smaller of these is 3x, so when we subtract that from 4x we will have a <em>positive</em> result. That is why we chose to subtract 3x, even though it leaves the x-term on the right side of the equation. We could have subtracted 4x to get -x -11 = 9. I find it easier not to make a mistake if the variable has a positive coefficient.
Answer:
D
Step-by-step explanation:
it represents it own right
Answer:
Step-by-step explanation:
The printer charges a $27 set-up fee, plus $0.75 for each poster. The set up fee is constant.
The cost y in dollars to print x posters is given by the linear equation
y=0.75x+27.
a) To find the cost, y in dollars to print 50 posters, we will substitute 50 for x in the given linear equation. It becomes
y=0.75x+27
y = 0.75 × 50 +27
y = 37.5 +27 =$64.5
b) To find the cost, y in dollars to print 100 posters, we will substitute 100 for x in the given linear equation. It becomes
y=0.75x+27
y = 0.75 × 100 +27
y = 75+27 =$102
Answer:
20% peanuts are there in the mixture of nuts.
Step-by-step explanation:
Total weight of the mixture =25 lbs(10+15)
In the 25 lbs mixture of nuts, 68 % is peanuts, therefore finding the total weight of peanuts.
68 % of 25 lbs= 17 lbs.
There is a total 17 lbs of peanuts in the mixture .
15 lbs of peanuts was exclusively added, therefore the rest 2 lbs must have come from the mixture of nuts.
Therefore, there is a total of 2 lbs of peanuts in 10 lbs of mixture of nuts.
=20 %
20% peanuts are there in the mixture of nuts.
