Answer:
so what you are trying to find out is the lot or the mean and the mean is 12
Step-by-step explanation:
Answer:
9/2 feet
Step-by-step explanation:
This means that the total height is 6 * 3/4 or 18/4=9/2 of a foot.
Answer:
127.2 litres
Step-by-step explanation:
Let x be the number of 80% strawberry juice( in litres ) mixed with 6 litre of 20% strawberry juice mixture to obtain 55% strawberry juice,
∵ Resultant mixture = (6+x) litres,
Since, strawberry in x litres + strawberry in 6 litres = strawberry in resultant mixture
⇒ 80% of x + 20% of 6 = 55% of (60+x)
⇒ 80x + 20 × 6 = 55(60+x)
⇒ 80x + 120 = 55 × 60 + 55x
⇒ 80x = 3300 + 55x - 120
⇒ 80x - 55x = 3180
⇒ 25x = 3180
⇒ x = = 127.2
Hence, 127.2 litres of 80% mixture should be mixed.
Answer:
3x+y=7
8x+12y=-9
Step-by-step explanation:
We have that
A(-2,-4) B(8,1) <span>
let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3
we know that
A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so
step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2
step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2
the coordinates of point M is (2,-2)
see the attached figure