Answer:
1200 children and 1500 Adults
Step-by-step explanation:
Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as
x+y=2700 (Equation 1)
and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as
1.50x+4y=7800 (Equation 2)
Extracting the value of y from equation 1
Y=2700-x (Equation 3)
Putting the value of y from equation 3 into equation 2
1.50x+4(2700-x)=7800
1.50x+10800-4x=7800
1.50x-4x=7800-10800
-2.5x=-3000
Cancellation of negative signs on both sides
x=3000/2.5
x=1200
Putting the value of x in equation 3 to get the value of y
y=2700-1200
y=1500
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Expanding by FOIL (First Inside Outside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define equation</u>
y = -(x - 3)² + 8
<u>Step 2: Rewrite</u>
- Expand [FOIL]: y = -(x² - 6x + 9) + 8
- Distribute -1: y = -x² + 6x - 9 + 8
- Combine like terms: y = -x² + 6x - 1
18.
18 x 3 - 14 = 40
.
........
Answer:
Hey boss man, just add up all the sides! For example, just add 3.9+3.9+3.9! and if there is a line in the middle of a certain side, it means that it is congruent or the same as another side with a dash. For example, with number 2, the side without a measurement is congruent with the the side with measurement of 7mm! Hope this helps! You got this! :)
Step-by-step explanation:
<span>It will take Yanni 20 minutes to catch up with Tracy. This can be determined with the fact that average velocity equals change in distance divided by change in time. Rearrange the equation so that we are solving for the final time, then set Tracy's equation equal to Yanni's equation and solve for the final time.</span>