Answer:
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
Step-by-step explanation:
A 14 -pound mixture of coffee that contains both decaffeinated and regular coffee costs $37. The decaffeinated coffee costs $2 per pound, and the regular coffee costs $3 per pound.
Let the number of pounds of:
Decaffeinated coffee = x
Regular coffee = y
Hence, our system of equations =
x + y = 14..... Equation
x = 14 - y
2x + 3y = 37....... Equation 2
We substitute 14 - y for x in Equation 2
= 2(14 - y) + 3y = 37
= 28 - 2y + 3y = 37
= - 2y + 3y = 37 - 28
= y = 9 pounds
Solving for x
x = 14 - y
x = 14 - 9
x = 5 pounds
Therefore,
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
Basically, you are just simply converting inches to feet.
So we need to convert 108 inches to x feet.
12 inches = 1 foot
So, if 12 inches equals 1 foot, just divide 108 by 12 to get the number of feet.
108÷12≈9
So, 108 inches equals your answer of 9 feet.
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-Hope this helped :)
Answer:
repeating due to the denominator
Step-by-step explanation:
11/15 = (11/5)×(1/3)
11/5 terminates after 1 place.
but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.
Answer:
These are the forms to write the ratio. Please read the explanation.
<u>a. 3/4</u>
<u>b. 3:4</u>
<u>c. 3 ÷ 4</u>
<u>d. Ratio of 3 to 4</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
Number of 13-year olds = 36
Number of 14-year olds = 48
2. Writing the ratio of 13-year-olds to 14-year olds in all three forms:
We can say that there are:
36/48 13-year olds to 14-year olds but we notice immediately that we can simplify that ratio this way:
36/48 = 18/24 (Dividing by 2) = 9/12 (Dividing by 2 again) = 3/4 (Dividing by 3)
We can conclude that the ratio of 13-year-olds to 14-year olds is 3/4 and we can write it these ways:
<u>a. 3/4</u>
<u>b. 3:4</u>
<u>c. 3 ÷ 4</u>
<u>d. Ratio of 3 to 4</u>
Moving the decimal point 3 places to the right is equivalent to moving a digit 3 places to the left relative to the decimal point. Doing that multiplies its place value in our base-10 number system by 10³.
The appropriate choice is ...
A. multiplying 41.05 by 10³
