Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
<u>We can call the starting point (0,0) in the coordinate system.</u>
- <u>10 mi east</u> - 10 miles to the right. then,
- <u>5 mi north</u> - 5 miles above
<em><u>See the attached picture. The direct distance is labeled as x.</u></em>
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:
<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>
Answer:
16 fluid ounces
Step-by-step explanation:
Mario buys 8 containers of soup.
Each container has 18 fluid ounces.
In other words, there are a total of:
144 fluid ounces.
Each of the 9 people got the same amount of soup. In other words, divided equally, each person got:
16 fluid ounces of soup.
And we're done!
|528 1/5 - (-89 3/5)|
|528 1/5 + 89 3/5|
|617 4/5|
617 4/5
Hope this helped!
D = sqrt (x2 - x1)^2 + (y2 - y1)^2
(1,-2)(10.-4)
d = sqrt (10 - 1)^2 + (-4 - (-2)^2
d = sqrt (9^2 + (-4 + 2)^2
d = sqrt (9^2 + (-2^2)
d = sqrt (81 + 4)
d = sqrt 85
d = 9.2
Answer: Andre picked 252 pounds of apples
Step-by-step explanation:
Let x = number of pounds of apple picked by Jane.
Let y = number of pounds of apple picked by Andre
Let z = number of pounds of apple picked by Maria
Andre picks three times as many pounds as maria. It means that
y = 3z
Jane picks two times as many pounds as Andre. It means that
x = 2y
The total weight of the apples is 840 pounds. It means that
x + y + z = 840 - - - - - - - - - 1
We will substitute z = y/3 and x = 2y into equation 1
2y + y + y/3 = 840
Cross multiplying with 3
6y + 3y + y = 2520
10y = 2520
y = 2520/10 = 252
x = 2y = 252× 2 = 504
z = y/3 = 252/3 = 84
