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:
the answer for the volume of the cylinder is V≈25.13in³
Where is the persons info
Answer:
b = 6.79
Step-by-step explanation:
Data provided:
logb(5) = 0.84
Now,
From the properties of log function
logₓ (z)= 
(where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
Thus,
logb(5) = 0.84
⇒ 
= 0.84
or
log(5) = 0.84 × log(b)
or
log(5) = 
(as log(xⁿ) = n × log(x) )
taking the anti-log both sides
we get
5 = 
or
b = 6.79
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
