Answer:
43
Step-by-step explanation:
Let
The unit digit = x
The tens digit = y
The number = 10x + y
The tens digit of a two-digit number is five more than the units digit.
y = x + 5
Seven times the sum of the digits of this number is 3 less than the number itself.
7(x + y) = 10x + y - 3
7x + 7y = 10x + y - 3
Find the number.
We substitute x + 5 for y
7x + 7(x + 5) = 10x + (x + 5) - 3
7x + 7x + 35 = 10x + x + 5x - 3
14x + 35 = 11x + 5x - 3
Collect like terms
35 + 3 = 11x + 5x -14x
38 = 16x - 14x
38 = 2x
x = 38/2
x = 19
Solving for y
y = x + 5
y = 19 + 5
y = 24
The number = 19 + 24
= 43
Answer:
Length = 200 m
Breadth = 175 m
Step-by-step explanation:
Perimeter of the rectangular field = Total cost ÷ rate per metre
= 12000 ÷ 16
= 750 m
Length : breadth = 8 : 7
Length = 8x
Breadth = 7x
Perimeter = 750
2*(length + breadth) = 750
2*(8x + 7x) = 750
2* 15x = 750
30x = 750
x = 750/30
x = 25
Length = 8x = 8*25 = 200 m
Breadth = 7*25 = 175 m
Where the rest of the question?
<u><em>Answer</em></u>
<em>1.) 50 mistakes per test</em>
<em>2.) 8 girls per group</em>
<em>3.) 27 pages per hour</em>
<em>4.) $1.30 per banana</em>
<em>5.) $0.50 per pencils</em>
<em>6.) 13 points per game</em>
<em>7.) $1.25 per cup of tea</em>
<em>8.) 65 liters per hour</em>
<em>9.) 25 calls per hour</em>
<em>10.) 35 words per minute</em>
<em>11.) 8 miles per liter of gas</em>
<em>12.) 0.4 eggs per day</em>
<em>13.) $28 per hour</em>
<em>14.) 3.5 miles per hour</em>
<u><em>Step-by-step explanation:</em></u>
<em>*Hope this helped*</em>
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A figure formed by 3 segments connecting 3 non-colinear points
