B)decreases by one; arrow length decreases by 1/3
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
#LearnwithBrainly
<span>100000 + 2000 + 500 + 150 + 17 +0.08
= 102000 + 500 + 150 + 17 + 0.08
= 102500 + 150 + 17 + 0.08
= 102650 + 17 + 0.08
= 102667 + 0.08
= 102667.08 <--</span>
Answer:

Step-by-step explanation:
Let
x ----> the height of the top of a mountain above sea level
y ----> the deep of a shipwreck below the sea level
we know that
The sea level represent the height equal to zero
In this problem we have
---> is positive because is above sea level
---> is negative because is below sea level
To find out the distance between the mountain top and the ship wreck, determine the absolute value of the difference between the two values

substitute the values




Answer:
Yes it forms a right angle triangle.