Answer:
# of granola bars and it's cost.
Step-by-step explanation:
It is asking for the meaning of 2B. Note that inside the question, it states that:
"<em>The price of a granola bar is B dollars</em>".
It also states that:
"<em>Donovan eats </em>2<em> granola bars</em>".
This means that to solve for the total spent on granola bars, you multiply the price (B) with the amount gotten (2 in this case).
~
Answer:
The general admission ticket number is 160 and the upper box ticket number is 136
Step-by-step explanation:
In this case we can solve it using a 2x2 system of equations, like this:
let x be general admission tickets number
let y be upper box tickets number
So:
6.5 * x + 10 * y = 2400
x + y = 296 => x = 296 - y
Replacing, we are left with that:
6.5 * (296 - y) + 10 * y = 2400
1924 - 6.5 * y + 10 * y = 2400
10 * y - 6.5 * y = 2400 - 1924
3.5 * y = 476
y = 476 / 3.5
y = 136
Now to calculate x:
x = 296 - 136
x = 160
The general admission ticket number is 160 and the upper box ticket number is 136
Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
The 3 digits in the unit period is 817
Answer:
y =
x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = -
x ← is in slope- intercept form
with slope m = -
, c = 0
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y =
x + c ← is the partial equation
To find c substitute (3, - 8) into the partial equation
- 8 = 4 + c ⇒ c = - 8 - 4 = - 12
y =
x - 12 ← equation of perpendicular line