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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Use sin, cos, tan formula
W=x
L=2x+17
Double everything since we need to lengths and two widths to find the perimeter
2x+17+2x+17+x+x = 76
Combine like terms
6x+34=76
Solve for x
First step is subtract 34 from both sides
6x=42
Next you divide both sides by 6 in order to get x by itself
X=7
Now you plug in 7 into the x’s in length and width
W=7 cm
L=31 cm
THE WIDTH IS 31 CM
Check:
7+7+31+31 = 76 cm
It equals 76 cm just like the problem said so therefore it is right.
Answer:
Statistic.
Step-by-step explanation:
A statistic is the result of a finished data set.
From things such as...
<em>and a few more.</em>
Hope this helps!
Answer:
Undefined
Step-by-step explanation: