The expression will look like 9-(3+2) and will evaluate to 4
Step-by-step explanation:
We have to put the values of x, y and z in the given expression to find the result.
Given:
And
Putting the values
The expression will look like 9-(3+2) and will evaluate to 4
Keywords: Expressions, Evaluation
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Answer:
x = 15°
Step-by-step explanation:
165 and x are on a straight line which means they are supplementary.
Set up the equation and solve for x:
165 + x = 180
x = 180 - 165
x = 15
x = 10 feet.
Perimeter of a rectangle = 2(l + w)
Area of a rectangle = w*l
P = 60ft
Length = x
Width = 40-2x
A = ?
60 = 2(x+(40-2x)
60 = 2x + 80 - 4x
60 = -2x + 80
2x = 80 - 60
2x = 20
2x / 2 = 20 / 2
x = 10 -- length
Width = 40 - 2x ; where x = 10 ; 40 - 2(10) = 40 - 20 = 20.
P = 2(l + w)
60 = 2 (10 + 20)
60 = 2 (30)
60 = 60
Area = w * l
A = 20 * 10
A = 200 square feet
can also be written as 2i
where i = √-1
Rationalizing denominator,
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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