Answer:
3/20
Step-by-step explanation:
Of means multiply. When it says 3/10 of 4/8, it just means 3/10*4/8 which when multiplied across gives you 12/80. Which can be simplified to 3/20.
Hope this helps.
Answer:
<em>The length of the side along the river is 140 m</em>
Step-by-step explanation:
<u>Equations</u>
To solve the problem, we need to recall the area of a trapezium is:
Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.
The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.
Knowing the height is h=100 m, and the area is 10500 m2:
Simplifying:
Dividing by 150:
x = 70 m
2x = 140 m
The length of the side along the river is 140 m
Start by distributing the 7 to both terms on the left hand side, and the 5 to both terms on the right hand side.
7(x - 2) = 5(x + 4)
7x - 14 = 5x + 20
Now, to solve for x, start by isolating the variable as much as you can.
7x - 5x = 20 + 14
2x = 34
x = 17
Answer:
It will take him 6.25 hours to earn $225
Step-by-step explanation:
225 ÷ 36 = 6.25
6.25 = 6 1/4
You are dividing the total amount of money needed to be earned ($225) by the amount of money he gets paid every hour ($36) to get the number of hours it will take him to earn the amount of money he wants to earn.
Hope this helps!
Constant is the scale term in proportionality. Suppose one variable is dependent on the other and one variable become twice, other becomes also twice and if one becomes half, other too becomes half., but they are two different variables which are no-where linked (like cost(money) vs quantity). Quantity and cost are two different things but they abridge a mathematical relation of proportionality. So in the mathematics to abridge these two different variables, we need something. Constant serves that purpose.
