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Mars2501 [29]
3 years ago
15

Tickets for a school football game cost 1.00 if purchased before the day of the game. They cost 1.50. They cost 1.50 each if bou

ght at the gate. For the homecoming game, 600 tickets were sold, with receipts of 700. How many tickets were sold at the gate
Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

Let x = number of gate tickets, ($1.50)

:

Since there were 600 tickets sold, let (600-x) = the $1 tickets

:

1.50 tickets + $1 tickets = $700

:

1.5x + 1(600 - x) = 700

1.5x - x = 700 - 600

.5x = 100

x = 100/.5

x = 200 ea 1.50 tickets sold at the gate

;

;

Check: there were 600 - 200 = 400 ea $1 tickets sold

1.50(200) + 1(400) = $700

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Which ordered pair is the solution to the system of linear equations y =-7x+2 and y = 9x-14?
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Answer:

(1, -5)

Step-by-step explanation:

Solve the system by setting the equations equal to each other, and solving for x:

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2 = 16x - 14

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So, the x coordinate of the solution will be 1.

Plug in 1 as x into one of the equations, and solve for y

y = -7x + 2

y = -7(1) + 2

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So, the y coordinate is -5.

The ordered pair solution is (1, -5)

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The two curves y=x and y=x^{1/15} intersect at x=0 and x=1, with x^{1/15}\ge x over 0\le x\le1.

  • Washer method

\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}

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We have y=x^{1/15}\implies x=y^{15}. The curves x=y and x=y^{15} intersect at y=0 and y=1, with y\ge y^{15} over 0\le y\le1.

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6 0
3 years ago
Please help asap!!!
Tatiana [17]

Answer:

w = 6

Step-by-step explanation:

ST = w + 6,

PR = w

From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:

PR = ½ of ST

Plug in the values into the equation and solve for w.

w = \frac{1}{2}(w + 6)

w = \frac{w}{2} + 3 (distributive property of equality)

w - 3 = \frac{w}{2} (subtraction property of equality)

2(w - 3) = \frac{w}{2}*2 (multiplication property of equality)

2w - 6 = w

2w - 6 - 2w= w - 2w (subtraction property of equality)

- 6 = - w

Divide both sides by -1

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Carrie walks 525 feet from her house to jay's house. Then, she walks another 280 feet in the same direction to Asia's house. Whi
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Answer:

The answer should be 525

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