5 times the smaller number of two consecutive numbers is added to 3 times the bigger, the result is 579. find the smaller number
Answers
Answer 1
Answer:
Give the smaller number a name. Call it ' Q '.
The numbers are consecutive, so the larger number is (Q + 1) .
Five times the smaller number is 5Q .
Three times the bigger number is 3(Q+1) = 3Q+3 .
The problem says that when you add all this up ... 5Q + (3Q+3) ... you get 579.
5Q + 3Q + 3 = 579
Clean up the left side:
8Q + 3 = 579
Subtract 3 from each side:
8Q = 576
Divide each side by 8 :
Q = 72
The smaller number is 72, and the larger number is 73.
The numbers are consecutive, so the larger number is (Q + 1) .
Five times the smaller number is 5Q .
Three times the bigger number is 3(Q+1) = 3Q+3 .
The problem says that when you add all this up ... 5Q + (3Q+3) ... you get 579.
5Q + 3Q + 3 = 579
Clean up the left side:
8Q + 3 = 579
Subtract 3 from each side:
8Q = 576
Divide each side by 8 :
Q = 72
The smaller number is 72, and the larger number is 73.
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Answers
4/5,1/5,2/7 those are the answers hoped it helped
Answers
There is 192 ounces in the cat. I know this because 1 pound = 16 ounces, so 16 x 12 = 192.
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Answers
= 115/6 ÷ 43/3
= (115 × 3) / (43 × 6)
= 345/258
= 115/86
= 1 29/86
= (115 × 3) / (43 × 6)
= 345/258
= 115/86
= 1 29/86
Jbennet is coorrect I actually had this question
Create an equation that models the annual salary needed to live in the city in a given year.
Answers
Answer:
S = 50000 + 1000Y
Step-by-step explanation:
The initial annual salary of an employee is $50000 per year and the company gives $1000 raises each year.
So, the equation that models the annual salary is given by
S = 50000 + 1000Y
Where S is the yearly salary and Y is the number of years.
Again, the annual salary needed to live in the city is $45000 when one starts his job and is increasing 5% each year.
So, the equation that models the annual salary is given by
Where S is the annual salary and Y is the number of years.
(Answer)
Answers
slope is how much a line goes up in ratio to how much the line goes to the right
(rise) / (run)
(y2 - y1) / (x2 - x1) when given points (x1, y1) and (x2, y2)
every time you go to the Right 1 unit, how much it goes Up is the slope
(if it is down, the slope is negative)
(rise) / (run)
(y2 - y1) / (x2 - x1) when given points (x1, y1) and (x2, y2)
every time you go to the Right 1 unit, how much it goes Up is the slope
(if it is down, the slope is negative)
Answers
42789 times 54678
is 2,339,616,942
Show Work:
Calculate 9 x 8, which is 72.
Since 72 is two-digit, we carry the first digit 7 to the next column.
3 Calculate 8 x 8, which is 64. Now add the carry digit of 7, which is 71.
Since 71 is two-digit, we carry the first digit 7 to the next column.
4 Calculate 7 x 8, which is 56. Now add the carry digit of 7, which is 63.
Since 63 is two-digit, we carry the first digit 6 to the next column.
5 Calculate 2 x 8, which is 16. Now add the carry digit of 6, which is 22.
Since 22 is two-digit, we carry the first digit 2 to the next column.
6 Calculate 4 x 8, which is 32. Now add the carry digit of 2, which is 34.
Since 34 is two-digit, we carry the first digit 3 to the next column.
7 Bring down the carry digit of 3.
8 Calculate 9 x 7, which is 63.
Since 63 is two-digit, we carry the first digit 6 to the next column.
9 Calculate 8 x 7, which is 56. Now add the carry digit of 6, which is 62.
Since 62 is two-digit, we carry the first digit 6 to the next column.
10 Calculate 7 x 7, which is 49. Now add the carry digit of 6, which is 55.
Since 55 is two-digit, we carry the first digit 5 to the next column.
11 Calculate 2 x 7, which is 14. Now add the carry digit of 5, which is 19.
Since 19 is two-digit, we carry the first digit 1 to the next column.
12 Calculate 4 x 7, which is 28. Now add the carry digit of 1, which is 29.
Since 29 is two-digit, we carry the first digit 2 to the next column.
13 Bring down the carry digit of 2.
14 Calculate 9 x 6, which is 54.
Since 54 is two-digit, we carry the first digit 5 to the next column.
15 Calculate 8 x 6, which is 48. Now add the carry digit of 5, which is 53.
Since 53 is two-digit, we carry the first digit 5 to the next column.
16 Calculate 7 x 6, which is 42. Now add the carry digit of 5, which is 47.
Since 47 is two-digit, we carry the first digit 4 to the next column.
17 Calculate 2 x 6, which is 12. Now add the carry digit of 4, which is 16.
Since 16 is two-digit, we carry the first digit 1 to the next column.
18 Calculate 4 x 6, which is 24. Now add the carry digit of 1, which is 25.
Since 25 is two-digit, we carry the first digit 2 to the next column.
19 Bring down the carry digit of 2.
20 Calculate 9 x 4, which is 36.
Since 36 is two-digit, we carry the first digit 3 to the next column.
21 Calculate 8 x 4, which is 32. Now add the carry digit of 3, which is 35.
Since 35 is two-digit, we carry the first digit 3 to the next column.
22 Calculate 7 x 4, which is 28. Now add the carry digit of 3, which is 31.
Since 31 is two-digit, we carry the first digit 3 to the next column.
23 Calculate 2 x 4, which is 8. Now add the carry digit of 3, which is 11.
Since 11 is two-digit, we carry the first digit 1 to the next column.
24 Calculate 4 x 4, which is 16. Now add the carry digit of 1, which is 17.
Since 17 is two-digit, we carry the first digit 1 to the next column.
25 Bring down the carry digit of 1.
26 Calculate 9 x 5, which is 45.
Since 45 is two-digit, we carry the first digit 4 to the next column.
27 Calculate 8 x 5, which is 40. Now add the carry digit of 4, which is 44.
Since 44 is two-digit, we carry the first digit 4 to the next column.
28 Calculate 7 x 5, which is 35. Now add the carry digit of 4, which is 39.
Since 39 is two-digit, we carry the first digit 3 to the next column.
29 Calculate 2 x 5, which is 10. Now add the carry digit of 3, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.
30 Calculate 4 x 5, which is 20. Now add the carry digit of 1, which is 21.
Since 21 is two-digit, we carry the first digit 2 to the next column.
31 Bring down the carry digit of 2.
32 Calculate 342312 + 2995230 + 25673400 + 171156000 + 2139450000, which is 2339616942
is 2,339,616,942
Show Work:
Calculate 9 x 8, which is 72.
Since 72 is two-digit, we carry the first digit 7 to the next column.
3 Calculate 8 x 8, which is 64. Now add the carry digit of 7, which is 71.
Since 71 is two-digit, we carry the first digit 7 to the next column.
4 Calculate 7 x 8, which is 56. Now add the carry digit of 7, which is 63.
Since 63 is two-digit, we carry the first digit 6 to the next column.
5 Calculate 2 x 8, which is 16. Now add the carry digit of 6, which is 22.
Since 22 is two-digit, we carry the first digit 2 to the next column.
6 Calculate 4 x 8, which is 32. Now add the carry digit of 2, which is 34.
Since 34 is two-digit, we carry the first digit 3 to the next column.
7 Bring down the carry digit of 3.
8 Calculate 9 x 7, which is 63.
Since 63 is two-digit, we carry the first digit 6 to the next column.
9 Calculate 8 x 7, which is 56. Now add the carry digit of 6, which is 62.
Since 62 is two-digit, we carry the first digit 6 to the next column.
10 Calculate 7 x 7, which is 49. Now add the carry digit of 6, which is 55.
Since 55 is two-digit, we carry the first digit 5 to the next column.
11 Calculate 2 x 7, which is 14. Now add the carry digit of 5, which is 19.
Since 19 is two-digit, we carry the first digit 1 to the next column.
12 Calculate 4 x 7, which is 28. Now add the carry digit of 1, which is 29.
Since 29 is two-digit, we carry the first digit 2 to the next column.
13 Bring down the carry digit of 2.
14 Calculate 9 x 6, which is 54.
Since 54 is two-digit, we carry the first digit 5 to the next column.
15 Calculate 8 x 6, which is 48. Now add the carry digit of 5, which is 53.
Since 53 is two-digit, we carry the first digit 5 to the next column.
16 Calculate 7 x 6, which is 42. Now add the carry digit of 5, which is 47.
Since 47 is two-digit, we carry the first digit 4 to the next column.
17 Calculate 2 x 6, which is 12. Now add the carry digit of 4, which is 16.
Since 16 is two-digit, we carry the first digit 1 to the next column.
18 Calculate 4 x 6, which is 24. Now add the carry digit of 1, which is 25.
Since 25 is two-digit, we carry the first digit 2 to the next column.
19 Bring down the carry digit of 2.
20 Calculate 9 x 4, which is 36.
Since 36 is two-digit, we carry the first digit 3 to the next column.
21 Calculate 8 x 4, which is 32. Now add the carry digit of 3, which is 35.
Since 35 is two-digit, we carry the first digit 3 to the next column.
22 Calculate 7 x 4, which is 28. Now add the carry digit of 3, which is 31.
Since 31 is two-digit, we carry the first digit 3 to the next column.
23 Calculate 2 x 4, which is 8. Now add the carry digit of 3, which is 11.
Since 11 is two-digit, we carry the first digit 1 to the next column.
24 Calculate 4 x 4, which is 16. Now add the carry digit of 1, which is 17.
Since 17 is two-digit, we carry the first digit 1 to the next column.
25 Bring down the carry digit of 1.
26 Calculate 9 x 5, which is 45.
Since 45 is two-digit, we carry the first digit 4 to the next column.
27 Calculate 8 x 5, which is 40. Now add the carry digit of 4, which is 44.
Since 44 is two-digit, we carry the first digit 4 to the next column.
28 Calculate 7 x 5, which is 35. Now add the carry digit of 4, which is 39.
Since 39 is two-digit, we carry the first digit 3 to the next column.
29 Calculate 2 x 5, which is 10. Now add the carry digit of 3, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.
30 Calculate 4 x 5, which is 20. Now add the carry digit of 1, which is 21.
Since 21 is two-digit, we carry the first digit 2 to the next column.
31 Bring down the carry digit of 2.
32 Calculate 342312 + 2995230 + 25673400 + 171156000 + 2139450000, which is 2339616942
The answer is 2,339,616,942.
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