Answer:
Step-by-step explanation:
The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.
Thus:
Please help me with 5-13 please in expanded form please!!
1 answer:
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the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75
<u>Step-by-step explanation:</u>
Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.
Let the cost of each pound of trail mix is $y.
and the cost of each pound of jelly beans is $x.
According to question,
For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.
⇒ → (1)
For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23
⇒ → (2)
Solving (1) and (2), we get
3(1 equation)-(2 equation)=0
⇒
⇒
hence,
⇒
⇒
Putting in
we get ;
⇒
⇒
⇒
⇒
Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .
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4)
Multiply by 2 on both sides
3m + 15 = 45
Subtract both sides by 15
3m = 30
Divide both sides by 3
so m = 3
5)
Multiply both sides by 8
168 = q + 35
Subtract both sides by 35
q = 133
6)
Subtract 14 from both sides
multiply by -11 on both sides
4x = 572
Divide both sides by 4
x= 143
7)
Add 6 on both sides
Multiply both sides by 5
3c = 75
Divide both sides by 3
c = 25
8)
Subtract both sides by 17
Multiply both sides by -2
t = -52
9)
Multiply both sides by -7
42= 5p + 2
subtract 2 from both sides
40 = 5p
Divide both sides by 5
so p = 8