Let the age of Vera be 'x' years
So the age of Linda is '2x' years
Now Tanya is 4 less than 4 times Linda
So age of Tanya = 4(2x) -4 = 8x -4 years
So total age of Vera , Linda & Tanya
= x + 2x + 8x - 4
= 11x - 4
But it is 2 less than 9 times Vera's age
11x - 4 = 9x + 2
11x - 9x = 4+2
2x = 6
x = 3
So Vera's age = 3 years
Linda's age = 2(3) = 6 years
Tanya's age = 8x - 4 = 8(3) - 4 = 24-4=20 years
Tanya is 20 years old.
Answer:
≈9
Step-by-step explanation:
V= πr^2(h/3)
1356.48= πr^2(16/3)
r= 8.99 or about 9
Answer:
A. 5 × ( 3 + 2 + 2 1/4 )
Step-by-step explanation:
Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1/4 -mile path.
The expression represents the total number of miles he biked is calculated as:
The number of times he rode his bike × (sum of the number of miles he biked)
= 5 × ( 3 mile + 2 miles + 2 1/4 miles)
= 5 × (3 + 2 + 2 1/4)
Therefore, Option A is the correct option
Erin needs 1.5 cups of flour to make 1 dozen cookies.
I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal