Hello,
Vertex=(-2,5)
x=0==>y=-3(0+2)²+5=-7
If the number of adult tickets are taken as x then the number of children’s tickets can be taken as (89 — x ) then we can set up the equation
4.10(x) + 2.70 (89 — x) = 331.30
4.10x + 240.3 — 2.70x = 331.30
1.4x = 331.30 — 240.30
1.4x = 91
X = 65
Therefore 65 adult tickets and 24 children tickets as 89 — 65 is 24
Answer:
<em>Answer is </em><em>given below with explanations</em><em>.</em>
Step-by-step explanation:
Answer is option 1) 85 : 51
![given \: that \: \\ triangle \: SPT \: is \: similar \: to \: triangle \: QPR \\ corresponding \: sides \: of \: similar \: \\ triangles \: are \: in \: proportion \\ then \: \\ \frac{SP}{ QP} = \frac{PT }{ PR} \\ \frac{3x}{3x + 24} = \frac{51}{85} \\ taking \: reciprocal \: on \: both \: sides \\ \frac{3x + 24}{3x} = \frac{85}{51}](https://tex.z-dn.net/?f=given%20%5C%3A%20that%20%5C%3A%20%20%5C%5C%20triangle%20%5C%3A%20SPT%20%5C%3A%20is%20%5C%3A%20similar%20%5C%3A%20to%20%5C%3A%20triangle%20%5C%3A%20%20QPR%20%5C%5C%20corresponding%20%5C%3A%20sides%20%5C%3A%20of%20%5C%3A%20similar%20%5C%3A%20%20%5C%5C%20triangles%20%5C%3A%20are%20%5C%3A%20in%20%5C%3A%20proportion%20%5C%5C%20then%20%5C%3A%20%20%5C%5C%20%20%5Cfrac%7BSP%7D%7B%20QP%7D%20%20%3D%20%20%5Cfrac%7BPT%20%7D%7B%20PR%7D%20%20%5C%5C%20%20%5Cfrac%7B3x%7D%7B3x%20%2B%2024%7D%20%20%3D%20%20%5Cfrac%7B51%7D%7B85%7D%20%20%5C%5C%20taking%20%5C%3A%20reciprocal%20%5C%3A%20on%20%5C%3A%20both%20%5C%3A%20sides%20%5C%5C%20%20%5Cfrac%7B3x%20%2B%2024%7D%7B3x%7D%20%20%3D%20%20%5Cfrac%7B85%7D%7B51%7D%20)
Option 1 is correct.
<em>HAVE A NICE DAY</em><em>!</em>
<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>
The equation of a line in slope intercept form is y=mx+b, which when you plug in the numbers becomes y=2x-1.
Answer:
Step-by-step explanation:
Total weight of aluminum cans that Pete collected for recycling is 47 pounds.
Total weight of aluminum cans that Jo collected for recycling is 52 pounds.
They can get $0.21 per pound for the cans. Therefore,
The total amount that Pete will get for collecting 47 pounds of aluminum would be
0.21 × 47 = $9.87
The total amount that Jo will get for collecting 52 pounds of aluminum would be
0.21 × 52 = $10.92
The total amount of money that they would get is
9.87 + 10.92 = $20.79