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erik [133]
3 years ago
10

John plays basketball at the local gym. The gym charges a monthly membership fee of $15.00, plus each player pays $2.50 per game

to pay for the cost of referees. John wants to spend less than $55 on basketball this month.​

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
4 0
<h2><u><em>Answer:</em></u></h2>

<em>15+2.5x <55</em>

<h2><u><em>Decimal:</em></u></h2>

<em>1.15</em>

Katyanochek1 [597]3 years ago
3 0
Answer:
Step-by-step explanation:
Assuming that for each option, you play the same number of games,x
Let y represent the cost of playing x games using option A
Option A is to buy a membership card and pay $2 every time you go to the gym. The membership card costs $20. It means that
y = 20 + 2x
Let z represent the cost of playing x games using option B
Option B is to pay $4 each time you go. It means that
z = 4x
To determine how many games will be played before cost of option A equal to the cost of option B, we would equate y to z. It becomes
20 + 2x = 4x
4x - 2x = 20
2x = 20
x = 20/2 = 10
It will take 10 games for both to be the same
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Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.
Rina8888 [55]

9514 1404 393

Answer:

  • ΔABC ~ ΔPQR
  • PQ = 8
  • PR = 14

Step-by-step explanation:

Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...

  ΔABC ~ ΔPQR by AA similarity

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The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.

  PQ = 2·AB = 2·4 = 8

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The side lengths of interest are ...

  PQ = 8, PR = 14

5 0
2 years ago
A rich farmer's Will states that 1/4 of his property should be given to his son, 2/3 of the remainder to his internal family 5/6
postnew [5]

Answer:

Step-by-step explanation: 1/2

5 0
3 years ago
ALGEBRA 1, SEMESTER 2
SIZIF [17.4K]

So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is \frac{y_2-y_1}{x_2-x_1} . Using what we have, we can solve it as such:

\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}

In short, the average rate of change from x = 0 to x = 8 is 5/21.

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