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Nataly_w [17]
3 years ago
10

Pump it up gym's daily revenue each can be modeled by R(x)=5x where x represents the number of customers that visit the gym each

day. The gym's daily costs can be modeled by the function C(x)=2x+150. Find the profit function P(x)=R(x)-C(x) A) P(x)=3x-150 B) P(x)=7x-150 C) P(x)=7x+150 D) P(x)=3x+150
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Answer:

<em>  P(x) = 3x - 150  </em>

<em></em>

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Reuben has scores of 70,75,83, and 80 on four spanish quizzes. what score must he get on the next quiz to achieve an average of
Sergio [31]
X - the score he must get

\frac{70+75+83+80+x}{5} \geq 80 \\&#10;\frac{308+x}{5} \geq 80 \\&#10;308+x \geq 400 \\&#10;x \geq 92

He must get at least 92 points.
4 0
3 years ago
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Order the following fractions and decimals from least to greatest <br> 2 3/4, 1.51, 0.6, 2 7/8
ella [17]
0.6, 1.51, 2 3/4, 2 7/8
7 0
3 years ago
The owner of a new pet store wishes to display tropical fish in display tanks. The above table shows the species that cannot liv
Pepsi [2]

Answer:

The minimum number of different tanks needed to safely house all the fish is:

  • <u>3 tanks</u>.

Step-by-step explanation:

To identify the minimum number of different tanks, we're gonna concentrate in a fish species, in this case can be the A: as you see in the table, the A species can live with all the fish excepting the F and G, by their side, the F and G can't live together , by this reason, this three species must live in a different tank, in the next form:

  • Tank 1: <em>A</em>
  • Tank 2: <em>F</em>
  • Tank 3: <em>G</em>

Now the B species, it can live with A, F and G, but for this example we can put in the tank 1 (the tank of the A species). The C especies can live with A, F and G, but how we have A and B together, we're gonna put the C especies in the tank 3 (the tank of the G especies). The D species can live with A and G, we're gonna put in the tank 1 because can live with B species too. The E species can live with A and F, we're gonna put in the tank 2 (the tank of the F species) because the E species can't live with D that is in the in the tank 1. Al last, the H species just can live with A, E, F, and H species, by this reason, the only tank that can be put is the tank 2. In this form, the order is the next:

  • Tank 1: <em>A, B, D</em>.
  • Tank 2: <em>F, E, H</em>.
  • Tank 3: <em>G, C</em>.

And t<u>he owner of the pet store must buy three different tanks to display these tropical fish</u>.

5 0
3 years ago
Find the volume of a cylinder below . The formula for the volume of a cylinder is . The radius of the circle is represented by r
lapo4ka [179]

Answer:

The volume of the cylinder  V =  942 cm³      

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the graph

The height of the cylinder (h) = 12cm

The diameter of the cylinder d = 10cm

The radius of the cylinder

                              d = 2r

                             r = \frac{10}{2}

                             r = 5 cm

<u><em>Step(ii):-</em></u>

The Volume of the cylinder

     V = π r² h

     V = π (5)²(12)

     V = 300π cubic centimeter

     V = 300 × 3.14

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<u><em>Final answer:-</em></u>

Volume of the cylinder  V =  942 cm³

     

3 0
2 years ago
Drag the ordered pair that are 5.5 units apart.
Alexus [3.1K]

Answer:

  (-1.5, -3.5) and (-1.5, 2)

Step-by-step explanation:

The x-coordinates in increasing order are ...

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The distances between pairs of these coordinates are ...

  -1.5 -(-3) = 1.5

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Clearly, any pair with x = 5 is too far away from any pair with a different x-value.

<u>∆x = 1.5</u>

If the distance between pairs is 5.5, then the distance formula tells us the y-coordinate differences for pairs with x-coordinates of -3 and -1.5 must be ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

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  30.25 = 2.25 +(y2 -y1)^2 . . . . square both sides

  √28 = (y2 -y1) . . . . . . . . . . . . . . subtract 2.25 and take the square root

This value is irrational. Clearly none of the y-coordinates is irrational, so there are no point pairs with x-coordinates -3 and -1.5 that are 5.5 units apart.

__

<u>∆x = 0</u>

If the x-coordinates are the same, then the y-coordinates must differ by 5.5 in order for the points to be 5.5 units apart. The coordinates in order are ...

  for x = -1.5, y = -3.5, 2, 2.5 . . . . . differences of 5.5, 6, 0.25

  for x = 5, y = -3.5, 1.5 . . . . . . . difference of 5

The only pair we can find that is 5.5 units apart is ...

  (-1.5, -3.5) and (-1.5, 2).

6 0
2 years ago
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