Hello!
This is a question about ratios and relating them to multiples of the ratio.
We are given that a recipe for cooking rice requires 14 cups of boiling water for every 8 cups of rice.
Then we are asked how many cups of rice are needing to be added if we have 28 cups of boiling water.
Since 28 is two times 14, and assuming that this ratio is proportional, we can multiply the cups of rice by 2 to find the equal ratio.
That means that 16 cups of rice should be added if we have 28 cups of boiling water.
In terms of ratios, we can set up the following proportion.

Then here, we can cross multiply and solve for
.


Hope this helps!
A - choosing letter A first
Answer:
The number that occurs most often in a set of numbers
in this case, the number 100 occurs more than any other number in the set. This means that the mode for this set of data is 100.
Answer:
x = 5 , y = 15
Step-by-step explanation:
You can solve this using substitution.
Let the quantity of cheese wafers be denoted by x and the quantity of chocolate wafers denoted by y
2x + 1y = 25
x + y = 20
These two equations are the answer to part A, (remember to include the above prompt which says what x and y denote).
For part B I used substitution because it was more applicable to the question then addition or elimination.
ACTUAL WORK
Set 2x + 1y = 25 equal to x
x = 25 - y / 2
Replace x with y in the second equation
(25 - y / 2) + y = 20
And solve for y
y = 15
Since we know what y is we can replace y in the second equation and find what x is
x + 15 = 20
Solve for x
x = 5
Answer:
The formula to get the circumference of a circle is
but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this
.
We can then input the value and we get that
which then just narrows down to
.
<u><em>Hope this helps! Let me know if you have any questions</em></u>