Answer:
45.50(7/10)
Step-by-step explanation:
Multiplication with fractions is the same as division with integers
Answer:
The radius of the sphere is 7m
Step-by-step explanation:
Given
Volume of a sphere = 1372π/3 m³
Required
The radius.
The volume of a sphere is calculated using the following formula.
V = 4/3 πr³
Where V = volume of the sphere and r represents it's radius.
By substitution;
1372π/3 = 4/3 πr³
Multiply both sides by 3
1372π = 4πr³
Divide through by 4
343π = πr³
Divide through by π
343 = r³
Take cube root of both sides.
r = 7.
Hence, the radius of the sphere is 7m
Let us assume that x kg of 30% salt solution is mixed with (200-x) kg of 40% salt solution in order to obtain 200 kg of 37% salt solution.
We can set up a linear equation in terms of x by setting amount of total salt before mixing and after mixing equal to each other.

Therefore, 60 kg of 30% salt solution should be mixed with 140 kg of 40% solution.
Answer:
-2x + 3
Step-by-step explanation:
f(x) - g(x)
(-2x + 4) - (-6.0 - 7)
-2x + 4 - (-6.0) - 7
-2x + 4 + 6.0 - 7
-2x + 10 - 7
-2x + 3
As given Q is the midpoint of GH. SO it will divide GH in two equal parts. We can also say GQ is half of GH.
So we can write

As given GQ = 2x+3 , GH = 5x - 5




11 = x
So GQ = 2x+ 3 = 2*11 + 3 = 25