Answer:
11/25
Step-by-step explanation:
44% can be written as a Fraction as 44/100. This fraction can ultimately be simplified to 22/50 before being finally reduced again to 11/25.
Answer: 113, 57, and 66
Step-by-step explanation:
The sum of all of the interior angles can be found using the formula S = (n - 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.
The price of one hat is $2 and one pair of mittens is $5
Step-by-step explanation:
Hats and mittens are on sale at the store!
- One woman was able to buy 5 hats and 4 pairs of mittens for $30
- Another woman purchased 3 pairs of mittens and 2 hats for $19
- The price of one hat is x
- The price of one pair of mittens is y
We need to find x and y
∵ One woman was able to buy 5 hats and 4 pairs of mittens for $30
∵ The price of one hat is x
∵ The price of one pair of mittens is y
- Multiply 5 hats by x and 4 pairs of mittens by y and equate
their sum by 30
∴ 5x + 4y = 30 ⇒ (1)
∵ Another woman purchased 3 pairs of mittens and 2 hats for $19
- Multiply 2 hats by x and 3 pairs of mittens by y and equate
their sum by 19
∴ 2x + 3y = 19 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by -2 and equation (2) by 5 to eliminate x
∵ -10x - 8y = -60 ⇒ (3)
∵ 10x + 15y = 95 ⇒ (4)
- Add equations (3) and (4)
∴ 7y = 35
- Divide both sides by 7
∴ y = 5
Substitute the value of y in equation (1) or (2) to find x
∵ 2x + 3(5) = 19
∴ 2x + 15 = 19
- Subtract 15 from both sides
∴ 2x = 4
- Divide both sides by 2
∴ x = 2
The price of one hat is $2 and one pair of mittens is $5
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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Answer:
x = -3/4
Step-by-step explanation:
<u>Step 1: Identify the equation</u>
8x + 3 = 4x
<u>Step 2: Move x's to one side and number to the other side</u>
8x + 3 - 4x - 3 = 4x - 4x - 3
4x = -3
<u>Step 3: Make x by itself</u>
4x / 4 = -3 / 4
x = -3/4
Answer: x = -3/4
Answer:
The maximum volume of the box is:
Step-by-step explanation:
Given
Required
The maximum volume of the box
Let
The surface area of the box is:
So, we have:
Divide both sides by 2
Make b the subject
The volume of the box is:
Substitute:
Spit
Differentiate V with respect to a
Set to calculate a
Collect like terms
Multiply both sides by 2
Solve for a
Recall that:
Apply law of indices
So: