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Tanya [424]
4 years ago
14

1/3(t+6)-10=3t+2 Solve for t

Mathematics
2 answers:
Juliette [100K]4 years ago
8 0

Answer:

-15/4 or -3.75

Step-by-step explanation:

anyanavicka [17]4 years ago
3 0

Step-by-step explanation:

<u>t </u>+ 2 - 10 = 3t + 2

3

Cross multiply

t +2 - 10 = 3(3t + 2)

t + 2 - 10 = 9t + 6

Collect like terms

2 - 10 - 6= 9t - t

- 14 = 8t

Divide both sides by 8

<u>-</u><u>7</u><u> </u>= t

4

Therefore t = <u>-</u><u> </u><u>7</u><u> </u> or -1 <u>3</u>

4 4

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Answer: one solution

Step-by-step explanation:

8 0
3 years ago
Find the cardinal number of the given set.<br><br><br> A = {{3, 5, 7, ... 25}}
Allisa [31]

Answer:

<h3>12</h3>

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

7 0
3 years ago
You buy clothing at a sale you buy sneakers at 2/3 of their original price of $60 a sweater at 7/10 of its original price of $35
ozzi

Answer:

a. We spent all together 40.2+24.5+37.8=$102.50.

b. We saved 19.8+10.5+7.2=$37.50

c. \frac{102.50}{140}

Step-by-step explanation:

To find the amount we spend, we multiply the original price by the decimal conversion of each fraction. Then we add the amounts together.

  • Sneakers cost $60 and you bought them at 2/3=0.6666....

60(0.67)=$40.20 and saved $19.80

  • Sweater costs $35 and you bought it at 7/10=0.7

35(0.7)=$24.50 and saved $10.50

  • A jacket costs $45 and you bought it at 5/6=0.8333...

45(0.84)=$37.80 and saved $7.20

We spent all together 40.2+24.5+37.8=$102.50.

We saved 19.8+10.5+7.2=$37.50

We could of spent paying regular price 60+35+45=$140. To find the fraction we place the total we actually paid over the total regular price.

\frac{102.50}{140}



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4 years ago
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Answer:

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