An ice cream store uses 1/5 of a box of ice cream cones everyday. If they have 8 boxes, how many days will they last? Write the
1 answer:
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10/8 = n/10
First, we need to simplify 10/8 into the lowest terms it can go down into. To do so, we need to find the greatest common factor (GCF) of both the numerator and denominator (10 and 8).
Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8
Looking at the listed factors above for our two numbers, we can see that the greatest common factor is 2. The GCF is 2.
Second, our next step for simplifying 10/8 down is to divide the numerator (10) and denominator (8) by our GCF we recently found which was 2.
We can now rewrite our fraction in the simplified form which is 5/4.
Third, our goal from the start is to get the variable (n) to one side of the problem by itself. This means we have to do everything else on the other side of the problem. We can start out by multiplying each side by 10.
Fourth, we now need to simplify 5/4 times 10. To do this, we take the numerator and multiply it by 10. Since the numerator is 5, our problem should look like: 5 × 10. The answer is 50.
Fifth, since 50/4 can be simplified as well into lower terms. Let's do the same thing we did earlier when we simplified the earlier fraction. List the factors of the numerator (50) and denominator (4).
Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 4: 1, 2, 4
Out of the factors for both of the numbers, which are common? 1 and 2 are the common factors and 2 is the greatest, meaning that 2 is our GCF.
Sixth, like we did earlier as well, we now have to divide our numerator and denominator by our recently found GCF which is 2.
We now have our simplified fraction, which is also our answer. The simplified fraction is 25/2.
Answer in fraction form:
Answer in decimal form:
First, we need to simplify 10/8 into the lowest terms it can go down into. To do so, we need to find the greatest common factor (GCF) of both the numerator and denominator (10 and 8).
Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8
Looking at the listed factors above for our two numbers, we can see that the greatest common factor is 2. The GCF is 2.
Second, our next step for simplifying 10/8 down is to divide the numerator (10) and denominator (8) by our GCF we recently found which was 2.
We can now rewrite our fraction in the simplified form which is 5/4.
Third, our goal from the start is to get the variable (n) to one side of the problem by itself. This means we have to do everything else on the other side of the problem. We can start out by multiplying each side by 10.
Fourth, we now need to simplify 5/4 times 10. To do this, we take the numerator and multiply it by 10. Since the numerator is 5, our problem should look like: 5 × 10. The answer is 50.
Fifth, since 50/4 can be simplified as well into lower terms. Let's do the same thing we did earlier when we simplified the earlier fraction. List the factors of the numerator (50) and denominator (4).
Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 4: 1, 2, 4
Out of the factors for both of the numbers, which are common? 1 and 2 are the common factors and 2 is the greatest, meaning that 2 is our GCF.
Sixth, like we did earlier as well, we now have to divide our numerator and denominator by our recently found GCF which is 2.
We now have our simplified fraction, which is also our answer. The simplified fraction is 25/2.
Answer in fraction form:
Answer in decimal form:
To understand this picture 2 cones that are stacked one on top of another. A double-napped cone is created when a generator is rotated about a fixed vertical axis. A line is created when the cone is cut by a plane containing the generator. Please see the attachment to help you understand this.
I hope this helps, Regards.
Answer:
The approximate total cost for the blanket is $10.08 ⇒ B
Step-by-step explanation:
The formula of the area of a rectangle is A = L × W
The formula of the perimeter of a rectangle is P = 2(L + W)
where:
- L is the length of the rectangle
- W is the width of the rectangle
∵ The baby blanket shaped a rectangle
∵ The dimensions of the blanket are 3 feet and 5 feet
- Find the area of the blanket
∵ A = 3 × 5 = 15 feet²
- Change feet to yard because the cost is by square yard
∵ 1 foot = yard
∴ 1 foot² = yard²
∴ 15 feet² = 15 × =
yards²
∴ The area of the blanket is yards²
∵ The fabric cost of the blanket is $1.25 per square yard
∴ The fabric cost = × 1.25
∴ The fabric cost = 2.08333 dollars
∵ Heather is going to put a ribbon border around it
- The length of the ribbon is equal to the perimeter of the blanket
∵ P = 2(3 + 5) = 16 feet
∴ The length of the ribbon is 16 feet
∵ The cost of the ribbon is $0.5 per foot
∴ The cost of the ribbon = 16 × 0.5
∴ The cost of the ribbon = 8 dollars
Now add the fabric cost to the ribbon cost to find the total cost of the blanket
∵ The total cost = 2.08333 + 8
∴ The total cost = 10.08333
- Round it to the nearest cent
∴ The total cost = 10.08 dollars
The approximate total cost for the blanket is $10.08
