You would first learn how many weeks there are in a year which is 52
So you would multiply 52x156
Which equals 8112
Asher pays $8112 per year for piano lessons

3 0

2 years ago

A chemist has two acid solutions in stock: one is a 50% solution, and the other is a 80% solution. How much of each solution sho

arsen [322]

Easy way, visual

50---68---80%
Difference 18 12
Invert order to give ratio of 50% and 80%
Ratio 12 18 = 2:3

So by simple proportion:
volume of 50% needed = 100*2/(2+3)=40 mL
volume of 80% needed = 100*3/(2+3)=60 mL

Algebra way
Let x=volume of 50% needed.
Then
0.50*x+0.80*(100-x) = 0.68(100)
Expand and solve for x
0.5x+80-0.8x = 68
0.8x-0.5x = 80-68
0.3x = 12
x=12/0.3 = 40 mL (volume of 50%)
100-x=100-40=60 mL (volume of 80%)

8 0

3 years ago

Figure ABCD is a rhombus, and m2AEB = 7x + 6. Solve for x. O 5.56

djverab [1.8K]

Answer:

x=12

Step-by-step explanation:

The correct question is

Figure ABCD is a rhombus, and m<AEB=7x+6. Solve for x

see the attached figure to better understand the problem

we know that

The diagonals in a rhombus are perpendicular