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Gala2k [10]
3 years ago
11

2/3 (a-b) =c, solve for a

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0
\dfrac{2}{3}(a-b)=c\ \ \ \ |\cdot3\\\\2(a-b)=3c\\\\2a-2b=3c\ \ \ \ |+2b\\\\2a=3c+2b\ \ \ \ |:2\\\\\boxed{a=\dfrac{3c+2b}{2}}
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You have quarters and dimes that total $2.80. your friend says it is possible that the number of quarters is 8 more than the num
ss7ja [257]
To answer this question, you need to know that a quarter is worth $0.25 and dimes worth $0.10. In this case, the total number of money that made from quarters and dimes is $2.80
With Q=quarter and D=dime, then the equation should be:
2.80= 0.25 Q + 0.10 D

The condition that needs to be fulfilled in this case is that the quarter should be 8 more than dimes. Then you need to find out the highest possible number of the quarter and lowest possible number of the dimes.  
If you divide 2.8 with 0.25 you will found it will be 11.2 but 11 quarter will result with 0.05 value which you cannot remove, so the highest possible of the quarter should be 10.
If the highest possible of the quarter is 10, then the lowest possible of dimes should be:
2.8= 0.25(10) + 0.10D
0.10D= 0.3
D=3

Since 10-3 is 7, then it is not possible for the quarter to be 8 more than the dimes.
4 0
3 years ago
Dannon has $10.80 in dimes and quarters. If Dannon has 32 more quarters than dimes, how many dimes does he have?
Zinaida [17]

Answer:

Dannon has 8 dimes.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Quick anyone know the answer to this problem?
Basile [38]

Answer:

the final option: -2x to the power of nine

Step-by-step explanation:

honestly i'm in 20 minutes of sleep so i really hope you don't need the explanation

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5 0
3 years ago
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What is the value of B?
iragen [17]

2x^2-12xy-32y^2=2(x-8y)(x+By)\qquad|\text{use distributive property}\\\\2x^2-12xy-32y^2=(2x-16y)(x+By)\\\\2x^2-12xy-32y^2=(2x)(x)+(2x)(By)+(-16y)(x)+(-16y)(By)\\\\2x^2-12xy-32y^2=2x^2+2Bxy-16xy-16By^2\\\\2x^2-12xy-32y^2=2x^2+(2B-16)xy+(-16By)

\text{therefore:}\\\\2B-16=-12\ \text{and}\ -16B=-32\\\\2B=4\ \text{and}\ B=2\\\\B=2\ \text{and}\ B=2\qquadCORRECT

<h3>Answer: B = 2</h3>
8 0
3 years ago
The basketball team is traveling 347 miles from Nashville, Tennessee to Columbus, Ohio for a national tournament. The team plans
Andrej [43]
I believe the answer is about 3:30 pm.
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