Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2
The equation
x + y = 120
60% x + 85% y = 65% (x + y)
Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x
From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24
y = 4x
y = 96
The first type should be 24 pints, the second type should be 96 pints
Answer:
Option (1).
Step-by-step explanation:
Statement given states that "A canary's beak is, at most 20 mm long."
Word "at most" means "the maximum".
So at most length of the beak means "length of the beak is less than equal to 20 mm".
And the expression representing this statement algebraically will be,
x ≤ 20
Therefore, option (1) will be the correct option.
D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30
0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters
d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes
the amnwer is 1.6. all you do is 8 dived by 5
Answer:
x = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
x ×
= 9
( divide both sides by
)
x = 9