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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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3 years ago
A movie collector has 105 movie posters and 90 band posters if she sells 21 movie posters then how many band posters should she
kotykmax [81]

Hi there! :)

<u>Answer:</u>

In order to maintain the same ratio, she should sell 18 band posters.


<u>Step-by-step explanation:</u>

<u>Initial ratio:</u>

Ratio is: 105 movie posters for 90 band posters = <u>105 : 90</u>


She sells 21 movie posters, which means that we are left with 105 movies minus the 21 she sold.

105 - 21 = 84 → She now has <u>84</u> movie posters.


In order to answer your question, you'll need to use the cross product method:

105 movie posters → 90 band posters

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<u>(90 × 84)</u> ÷ 105 = X

<u>7,560 ÷ 105</u> = X

72 = X ⇒ Number of band posters she should have left to maintain the same ratio.

She has 90 band posters :

90 <u>- X</u> = 72

Add "X" to each side of the equation → 72 + X = 72 + X

90 = <u>72</u> + X

Subtract 72 from each side of the equation → 90 - 72 = 18

<u>18 = X</u>


There you go! I really hope this helped, if there's anything just let me know! :)

4 0
4 years ago
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