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eduard
3 years ago
15

7(y+3)=5y+8 Is this A.Solution B.No Solution C. Infinite Solution

Mathematics
1 answer:
faust18 [17]3 years ago
3 0

First, let's use the Distributive Property to make our equation easier to solve. Remember that the Distributive Property says the following:

a(b + c) = ab + ac


Using this, we can multiply the 7 out to the y and 3. This gives us:

7y + 21 = 5y + 8


Now, let's solve for y:

2y + 21 = 8

2y = -13

y = - \dfrac{13}{2}


We can see that there is one solution for this equation because y is equal to one definite value after solving. Thus, our answer is A, one solution.  

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Tom is a cashier at HEB, he makes $13.25 per hour. If he works 22 hours this week what will be his gross income?
mamaluj [8]

Answer:

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Step-by-step explanation:

For 22 hours, he earns 22 times his hourly pay.

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6 0
3 years ago
Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before
makkiz [27]

Answer: Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 12 hours

Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

Time taken by Candice to paint the fence alone = x-12

As per given , we have

\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24

if x= 4

Time taken by Ximena = 4 hours

Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)

Therefore, x= 24

Such that

Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 24-12=12 hours

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3 years ago
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Vinvika [58]

Answer:

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