"Bucket method"
.. (4)*(14%) + (x)*(8%) = (4 +x)*(10%) . . . . . liters and % are in each "bucket"
.. 56 +8x = 40 +10x . . . . . multiply by 100, eliminate parentheses
.. 16 = 2x . . . . . . . . . . . . . . add -40-8x, then divide by 2
.. 8 = x
8 liters of 8% lemonade should be added to make the mixture 10% lemon juice.
Answer:
x = 10
Step-by-step explanation:
∵ Both angle ∠A and are corresponding angles.
∠A = ∠B
9x - 40 = 3x + 20
9x = 3x + 20 + 40
9x - 3x = 20 + 40
6x = 60
x = 60/6
x = 10
∴ x = [10]
Answer:
The area of DBE = 27 square units
Step-by-step explanation:
Area of ABC = 3 square units
In the figure, we can see that ABC was enlarged so that BDE is formed where side BD = 6 and AB was = 2
Hence ABC was enlarged 3 times its size.
We know by formula that:
Area of ABC = 1/2(base x perpendicular)
3 = 1/2(2 x p)
=> p = 3
As ABC was enlarged 3 times its size, the perpendicular of BDE must be 3*p
= 3*3 = 9
AREA OF DBE = 1/2(base*perp)
= 1/2(6*9)
= 27 square units
Answer:
Step-by-step explanation:
LET ORANGES=X
PEARS ARE 3 TIMES =3X
LET CHILDREN=Y
IF WE GIVE 5 ORANGES PER CHILD WE NEED 5Y ORANGES.SO THIS =X
X=5Y........................I
IF WE GIVE 8 PEARS PER CHILD WE NEED 8Y PERARS...THERE ARE STILL 21 PEARS LEFT OUT AFTER THIS THAT IS
8Y+21=3X....................II
SUBSTITUTING FOR X FROM EQN.I..
8Y+21=3*5Y
15Y-8Y=21
7Y=21
Y=3
X==5Y=5*3=15..
SO CHILDREN =3
ORANGES=15
PEARS=3*15=45
THANKYOU AND PLEASE AMRK IT BRAINLIEST
Answer:
-2/7
Step-by-step explanation:
2x+7y=14
7y=-2x+14
divide by 7
y=-2/7 x+2
