You are making a 2 ingredient trail mix with almonds and raisins. There is a 5:7 ratio of almonds to raisins. How many ounces of
1 answer:
Answer:
<em>There would be 20 ounces of almonds in the bag</em>
Step-by-step explanation:
<u>System of Equations</u>
To solve the problem, we'll set up these two variables:
x = ounces of almonds
y = ounces of raisins
The ratio of almonds to raisins in the trail mix is 5:7, thus:
Cross-multiplying:
7x=5y [1]
A 3-pound bag of this trail mix contains 3*16=48 ounces that include almonds and raisins, thus:
x + y = 48 [2]
Multiplying [2] by 5:
5x + 5y = 240
Substituting from [1]:
5x + 7x = 240
12x = 240
x = 240/12
x = 20
There would be 20 ounces of almonds in the bag
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Answer:
He should pay $2,790.7.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years.
After t years, the total amount of money is:
In this question:
Rate of 10%, so I = 0.1.
9 months, so
How much should he pay for a note that will be worth $3,000 in 9 months?
We have to find P for which T = 3000. So
Then
He should pay $2,790.7.
Answer:
Step-by-step explanation:
Since, Here w represents the weight of the bottle.
And, According to the question, he acceptable weights, w, of a 20-ounce bottle of sports drink.
That is, weight of the bottle can not be higher than 20 or the it can be atleast 20.
Therefore,
And, the weight can not be negative.
Therefore,
Thus, the required inequality is,
