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Schach [20]
3 years ago
10

If 5y - 8 < 12, what is the maximum possible value of 10y ?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

Answer: The maximum possible value of y is 30 ;)

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3. Solve each equation, and check your solution.
Alisiya [41]

1) 2m - 16 = 2m + 4

2m - 2m = 4 + 16

0 = 20 (no solution)

2) -4(r + 2) = 4(2 - 2r)

-(r + 2) = 2 - 2r

-r - 2 = 2 - 2r

-r + 2r = 2 + 2

r = 4

3) 12(5 + 2y) = 4y - (6 - 9y)

60 + 24y = 4y - 6 + 9y

60 + 24y = 13y - 6

24y - 13y = -6 - 60

11y = -66

y = -6

7 0
3 years ago
4/5 + 1/3 <br><br> Answers should be in format example: 5/2 or 2/5. No decimals or mixed numbers.
spin [16.1K]

Answer:

16/15

Step-by-step explanation:

The LCM of 5 and 3 is 15

4/5 + 1/3 = 12 / 15 + 4 / 15 = 16 / 15

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!<br> a2 - 10ab + 3b^2
Zielflug [23.3K]
Let's simplify step-by-step.

<span><span><span>a2</span>−<span><span>10a</span>b</span></span>+<span>3<span>b2

</span></span></span>There are no like terms.

Answer:

<span>=<span><span><span>a2</span>−<span><span>10a</span>b</span></span>+<span>3<span>b<span>2</span></span></span></span></span>
5 0
3 years ago
Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create
anastassius [24]

Pattern is the rule that guides the formation of a set.

  • <em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
  • <em>The sequence is arithmetic</em>
  • <em>There are 32 tiles in the tenth mosaic.</em>

From the given design, the number of tiles used is:

T_1 = 5

T_2 = 8

T_3 = 11

<u />

<u>(a) The first five</u>

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

T_4 = T_3 + 3 = 11 +3 = 14

T_5 = T_4 + 3 = 14 +3 = 17

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

<u>(b) The type of sequence</u>

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

<u>(c) The number of tiles in the tenth mosaic</u>

The nth term of an arithmetic sequence is:

T_n = T_1 + (n - 1) \times d

In this case:

T_1 = 5

d =3

n = 10

So, we have:

T_{10} = 5 + (10 - 1) \times 3

T_{10} = 5 + 9 \times 3

T_{10} = 5 + 27

T_{10} = 32

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0
2 years ago
If Mr. Richards is making $18 an hour and gets a 12% raise. How much is his new hourly rate after his 12% raise?
ryzh [129]

Answer:

$20.16

Step-by-step explanation:

First we need to find 12% of his current hourly rate, 12% is our decimal multiplier here so we use 0.12. In order to get 12% we need to multiply our decimal by $18 which is:

$18 × 0.12 = $2.16

Now let's add this 12% on top of his current hourly rate.

$18 + $2.16 = $20.16

And that's the final answer.

7 0
3 years ago
Read 2 more answers
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