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alexgriva [62]
3 years ago
5

Michael is 17 years older than John. In 4 years, the sum of there ages will be 49. Find Michaels present age.

Mathematics
1 answer:
Crank3 years ago
7 0
Answer:

29

Explanation:

Let John be x years old.

Michael is <span>x+17</span> years old.

In four years time, the sum of their ages will be 49:

<span>x+x+17+2<span>(4)</span>=49</span>

<span>2x=24</span>

<span>x=12</span>

So Michael is <span>12+17=29</span> years old now.

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Determine the common ratio and find the next three terms of the geometric sequence t8, t5, t2
attashe74 [19]
The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,

    r = t⁵/t⁸ = t²/t⁵

The answer, r = t⁻³.

The next three terms are,

    n₄ = (t²)(t⁻³) = t⁻¹
    n₅ = (t⁻¹)(t⁻³) = t⁻⁴
    n₆ = (t⁻⁴)(t⁻³) = t⁻⁷

The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively. 
3 0
3 years ago
Read 2 more answers
Compute: 245 * 1,493. Show your work.
sesenic [268]
0 + 0 + 5 = 5

0 + 2 + 6 = 8

6 + 7 + 4 = 17
Put the 7 in the appropriate column and carry the 1.

<span>8 + 9 + 7 + </span><span>1(carried)</span><span> = 25</span>
Put the 5 in the appropriate column and carry the 2.

<span>9 + 5 + </span><span>2(carried)</span><span> = 16</span>
Put the 6 in the appropriate column and carry the 1.

<span>2 + </span><span>1(carried)</span><span> = 3</span>

<span>So: 1493 × 245 = 365785</span>
4 0
3 years ago
A line is represented by the equation y = 3x - 6. Which is a coordinate of a
Furkat [3]

Answer:

(2,0)

Step-by-step explanation:

Simply plug in the coordinates. y= 3x - 6, so in this case 0= 3(2) - 6 or 0=0, making the point on the line. If the equation is not true like when using (0,3) and getting 3= -6, then the point is not on the line.

6 0
2 years ago
Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. In a given week, he can w
Burka [1]

Answer:

Step-by-step explanation:

Let x represent the number of hours that that he spent washing cars.

Let y represent the number of hours that that he spent landscaping.

In a week, he can work no more than 19 total hours. This means that

x + y ≤ 19- - - - - - - - - - - -1

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that

10x + 8y ≥ 170 - - - - - - - - - -2

If Jacob worked 4 hours landscaping, it means that

x + 4 ≤ 19

x ≤ 19 - 4

x ≤ 15

Also,

10x + 8 × 4 ≥ 170

10x + 32 ≥ 170

10x ≥ 170 - 32

10x ≥ 138

10x ≥ 138/10

x ≥ 13.8

The minimum number of hours is 14

6 0
3 years ago
The sale price is $6.85 less than the regular price. The sale price is
Dima020 [189]

Answer:

$49.35

Step-by-step explanation:

3 0
3 years ago
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