We know that,
Number of scouts = 15
Number of feathers required by each scout = 18
Hence, Total Number of feathers required = 15 * 18 = 270
We also know that Number of feathers in each bag = 12
Hence, number of bags required to decorate picture frames = Total number of feathers required ÷ number of feathers in each bag
⇒ Number of bags required to decorate picture frames = 270 ÷ 12
⇒ Number of bags required to decorate picture frames = 22.5
Since half a bag can't be bought 23 bags would be required.
Answer:
(-3 , 0) (0, 2) (6, -6)
Step-by-step explanation:
Solving for x - intercept:
2x - 3(0) = -6
2x = -6
2x/2 = -6/2
x = -3
One point would be (-3 , 0) .
Solving for y-intercept:
2(0) - 3y = -6
-3y = -6
-3y/-3 = -6/-3
y = 2
Another point would be (0, 2).
When 'x' equals 6:
2(6) - 3y = -6
12 - 3y = -6
12 - 12 - 3y = -6 - 12
-3y = -18
-3y/3 = -18/3
y = -6
The third point would be (6, -6).
Answer:
<h2>Yes. It's a right triangle.</h2>
Step-by-step explanation:
If a ≤ b < c are the length of the sides of a right triangle, then
a² + b² = c².
We have:
a =30 ft, b = 40 ft and c = 50 ft.
Check the equality:
L = 30² + 40² = 900 + 1600 = 2500
R = 50² = 2500
L = R
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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Sry but that’s too much which one would you like help on
