Answer:
461 adults and 864 students
Step-by-step explanation:
We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 1,325 tickets were purchased, then s+a=1325.
We also know that a total of $3,169 was collected and adult tickets cost $5 each and students cost $1 each. We can write 1s+5a=3169.
We will solve by substituting one equation into the other. We first solve the first equation for s which is s=1325-a. Substitute s=1325-a into 1s+5a=3169. Simplify and isolate the variable a.
1(1325-a)+5a=3169
1325-a+5a=3169
1325+4a=3169
1325-1325+4a=3169-1325
4a=1844
a=461
This means that 461 adults attended and 864 students attended since 864+461=1325.
Answer:
w = 5
Step-by-step explanation:
Step 1: Use the Distributive property to get 6w + 30.
Step 2: Divide 6w by 6 and cancel out both 6s.
Step 3: Divide 30 by 6 to get 5, and you have the answer.
First, you should make a graph plotting "h" as the y-axis and "t" as the x-axis. Then, you can plot the equation they give you in the question.
Part A is asking about the slope of the graph. Basically, you need to find the rise over the run each second.
Part B is asking about the "h"-intercept, or the y-intercept. When Johnny first began his ride, exactly 0 seconds passed, and he was at the top of the hill.
Part C is asking you to find how long it will take to travel a third of the way down the hill. (I think the answer should be 5 seconds, but I'll leave it to you to figure out why.)
-Polynomials don't have answers.
This question just wants you to add 2 polynomials.
The pencil work under the first one is incorrect.
Here's what you need to do to find the sum of polynomials:
-- Remove parentheses.
(If there's a plus sign before the whole parentheses, then just erase the parentheses. If there's a minus sign before the whole thing, then change the sign of each term inside, and erase the parentheses.)
-- Add up all the x² terms.
Like this ...
x² + x² = 2x²
or
2x² + 7x² = 9x²
-- Add up all the x³ terms the same way.
-- Add up all the 'x' terms the same way.
-- Add up the plain numbers.
-- Write down all the sums as a new polynomial.
Set up a ratio:
10 foot tall elephant / X shadow length = 15 foot tall statue / 18 foot shadow.
Cross multiply:
10 * 18 = X * 15
Simplify:
180 = 15x
Divide both sides by 15:
x = 180 / 15
x = 12
The elephants shadow was 12 feet long.