Answer:
p = 9 when q = 5.
Step-by-step explanation:
p is inversely proportional to the square of q
This means that:
In which k is a constant multiplier.
p is 25 when q is 3
We use this to find k.
So
Determine p when q is equal to 5.
p = 9 when q = 5.
Answer:
The simplified form of given expression is 3/5.
Step-by-step explanation:
The given expression is
We need to find the product of two factions using diagram.
For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.
For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.
Now combined both boxes and shown below.
From the below figure it is clear that
The number of common shaded small boxes = 12
Total number of small boxes = 20
The required fraction is
Cancel out common factor.
Therefore, the simplified form of given expression is 3/5.
Answer:
His 55 kg of cement is 5 kg short of the 60 kg he needs.
Step-by-step explanation:
Let r be a ratio useful in determining how much of each ingredient Henry needs:
4/8 of the mix is cement, 3/8 is sand and 1/8 is gravel.
4/8 of the total 120 kg must then be 60 kg made up of cement;
3/8 must then be 45 kg made up of sand; and
1/8 must then be 15 kg made up of gravel
His 55 kg of cement is 5 kg short of the 60 kg he needs.