Answer:
the answer is
Step-by-step explanation:
The proportion of coconut milk in the cocktail is ml for every 15 ml of orange juice.
Proportion shows the fractional composition of a given quantity or substance.
So that:
orange juice = 15 ml
contents of the orange juice;
apple juice = 25 ml
coconut milk = 10 ml
total = 35 ml
So that;
the fraction of apple juice in the orange juice = x 15
=
the fraction of apple juice in the orange juice = ml
Also,
the fraction of coconut juice in the orange juice = x 15
=
the fraction of coconut juice in the orange juice = ml
Therefore, the proportion of the cocktail that is coconut milk is: for every 15 ml of orange juice, then ml of coconut juice is required.
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
= [ 2a₁ + (n - 1)d ] , thus
= [ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
Let
x = first integer
y = second integer
z = third integer
First equation: x + y + z = 194
Second equation: x + y = z + 80
Third equation: z = x - 45
Let's find the values of x, y and z.
Substitute 3rd eq to 1st eq:
x + y + x - 45 = 194
2x + y = 45 + 194
y = -2x + 239
Plug in both we have solved for y and the 3rd eq to the 2nd eq to find x
x + (-2x + 239) = (x - 45) + 80
x - 2x - x = -45 + 80 - 239
-2x = -204
x = -204/-2
x = 102
Solving for y,
y = -2(102) + 239
y = 35
Solving for z,
z = 102 - 45
z = 57