Answer:
Step-by-step explanation:
x^2 + 44^2 = 55^2
x^2 + 1936 = 3025
3025-1936 = 1089
sqrt(1089) = 33
x = 33
Answer:
Find the length of the hose = 5.2 feet
Step-by-step explanation:
The garden is divided into two similar triangle.
The hose divided one side of the triangle to two equal parts.
Side a = 6ft
Side b = 3ft
Side c = ? (length of hose)
a² = b² + c²
6² = 3² + c²
36 = 9 + c²
27 = c²
√27 = c
5.196 = c
Answer:
Step-by-step explanation:
GIvn that Ming needs 1/2 pint of red paint for an art project
The 6 jars he has, have the following red paint in them
A. 2/3 pint
B.1/4 pint
C.4/6 pint
D.3/4 pint
E. 3/8 pint
F.2/6 pint
Since he want 1/2 pint he can use only jar B two times
First pour jar B contents equal to 1/4 pint to a new empty jar.
Now he can pour from A 1/4 pint to B, and then again use that
So altogether he gets 1/2 pint of red paint.
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
