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KengaRu [80]
3 years ago
10

3(t-7) =6. Solve for the and show steps

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0
 3(t -7) = 6 \\ 3(t) + 3(-7)\\ 3(-7) = -21 \\ 3t = 3t \\ 3t - 21 = 6 \\Add21: 3t - 21 + 21 = 6 +21 \\ 3t = 21: Divide3 \\  \frac{3t}{3} cancel =  \frac{27}{3}keep \\ t = 9
________________________________________________________________
 8(h - 9) = 8 \\ 8h - 9 = 9 \\ 8h = 8h \\ 8(-9) = -72\\ 8h + (-72)  = \\ 8h - 72 = 8 \\ Add72: 8h - 72 + 72  \\  = 8 + 72 \\ divide8 :  \frac{8h}{8}cancel =  \frac{80}{8} (keep) \\ h = 10
________________________________________________________________
 9 + 2(z - 2) = 15 \\ 9+2(z)+ 2(-2)= 15 \\ 2(-2) = -4 \\ 9 +2z = ? \\  9 +2z+4 = 15\\  Subtract5: 2z + 5 -5 \\ = 15 -5 \\ Divide2: 2z = 10 \\  \frac{2z}{2}cancel =  \frac{10}{2} = 5 \\ z = 5
:)                                                                                                                                             :)
good luck on your assignment and enjoy your day

~MeIsKaitlyn:)
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enyata [817]

Answer:

The system of inequalities that represents this situation is:

x+y≥10

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Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

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Step-by-step explanation:

Given the information:

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From that, we can determine the length of the side in each square:

1/ x^{2} = 12

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