Using proportions, it is found that the two cities are 27.5 miles apart.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
From the given scale, we have that <u>each inch of distance represents 10 miles</u>. Hence the distance in miles for a distance of 2 and 3/4 miles = 2.75 miles is given by:
D = 10 x 2.75 = 27.5 miles.
Hence, the two cities are 27.5 miles apart.
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Answer:
(i) 7/10
(ii) 3/10
(iii) 1/5
(iv) Rs 40,000
Step-by-step explanation:
The fraction of the salary spent on food = 1/2
The fraction of the salary spent on rented house fee = 1/5
(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10
(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10
The fraction of the remainder spent for children's education = 1/3
The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10
(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5
(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000
Let <em>x</em> represent his whole salary, we have;
(1/5) × x = Rs 8,000
x = 5 × Rs 8,000 = Rs 40,000
His whole salary is Rs 40,000.
There would be 107 whistles
-equation- 235-128=107
Answer:
Step-by-step explanation:
As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .
Answer: x = (cd + by) / a
Working out:
(ax - by) / c = d
1)Multiply by c on both sides to get:
ax - by = cd
2) Add by on both sides to get:
ax = cd + by
3) divide by a on both sides to get:
x = (cd + by) / a