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Naya [18.7K]
3 years ago
8

The dewey civic center has 2500 seats. Tickets for 72% of the yotal number of seats were sold. How many tickets were sold?

Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

1,800 tickets

Step-by-step explanation:

Find 72% of 2500 by multiplying 2500 by 0.72 (move the decimal point twice to the left).

2500 * 0.72 = 1800

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Simplify square root of 306
Umnica [9.8K]

Answer:

the square root of 306 is

17.49

7 0
3 years ago
The quadratic function f (x) = - 45x2 + 350x + 1,590 models the population of a city where x represents the number of years sinc
kramer

Answer: 2,215,000

Step-by-step explanation:

Given: The quadratic function f (x) = - 45x^2 + 350x + 1,590 models the population of a city where x represents the number of years since 2005.

To Find:  population of the city in 2010

We need to put x= 2010-2005 = 5

f (5) = - 45(5)^2 + 350(5) + 1,590\\\\=-1125+1750+1590 =2215

Hence, the estimated population of the city in 201 = 2215 thousands or 2,215,000 .

3 0
3 years ago
Jami covered the lateral faces the
IgorLugansk [536]

Answer:

304

Step-by-step explanation:

find the area of each side, then add together

top and bottom are 10*8= 80 80*2= 160

front and back are 10*4=40  40*2=80

left and right sides are 8*4=32  32*2=64

160+80+64=304

5 0
2 years ago
Find the volume of the solid where the cone and half sphere are hollow. Use 3.14 for П ; height is 19 in; radius is 5 in. Round
Vera_Pavlovna [14]

Volume of Solids

The volume of the solid is 758.83 in³

Step-by-step explanation:

Given that the cone and half sphere is hollow

The volume of the cone = 1/3 \pi r^{2} h\\

The Volume of the sphere  = 4/3 \pi r^{3}

So the Volume of the half sphere =2/3\pi r^{3}

The volume of solid = volume of cone + volume of the half sphere

V = V_{1}  + V_{2}

Given

height h = 19 in

radius r = 5 in

V_{1\\}  = 1/3 \pi r^{2} h

     = 1/3 × 3.14 × 5 × 5 × 19

     = 497.16 in³

V_{2}  =  2/3 \pi r^{3}

   = 2/3 × 3.14 × 5 × 5 × 5

   = 261.67 in³

V =  497.16 in³ + 261.67 in³

  = 758.83 in³

Hence the volume of the solid is 758.83 in³

3 0
3 years ago
What is the equation in slope intercept form of the perpendicular bisector of the given line segment?
andreev551 [17]

Answer:

y = -4x - 6

Step-by-step explanation:

The equation of a line in point-slope form.

y - y_1 = m(x - x_1)

is the equation of the line containing point (x1, y1) and having slope, m.

The given point of the perpendicular bisector is (-1, -2), so in this case, x1 = -1, and y1 = -2.

We need the slope of the perpendicular bisector. First we find the slope of the segment. We start at point (-5, -3). We go up 1 unit and 4 units to the right, and we are at another point on the segment. Since slope = rise/run, the slope of the segment is 1/4. The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular bisector is the negative reciprocal of 1/4, so for the perpendicular bisector, m = -4.

Now we use the equation above and our values.

y - y_1 = m(x - x_1)

y - (-2) = -4(x - (-1))

y + 2 = -4(x + 1)

y + 2 = -4x - 4

y = -4x - 6

6 0
3 years ago
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