The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled $22,210. The adult admission is $5.50, and the children’s admission is $3.50. How many adult patrons were there?

Answer:

4b = 4(11/4)

3b = 3(7/3)

Answer:

XY = 50

Step-by-step explanation:

Triangle given in the picture,  

Point B, C and D are the midpoints of the sides of the triangle.

By applying midsegment theorem in the given triangle,

"Segment joining the midpoints of two sides of a triangle is parallel and half of the length of the third side"

CD = [tex]\frac{1}{2}(XY)[/tex]

25 = [tex]\frac{1}{2}(XY)[/tex]

XY = 50

Therefore, XY = 50 is the answer.

Answer:

Step-by-step explanation:

Let x be the number.

6 times the number = 6*x = 6x

Sum of 6 times of a number and twelve = 6x + 12

Three-fourths of the sum of 6 times of a number and twelve = [tex]\frac{3}{4}(6x +12)[/tex]

[tex]\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\[/tex]

                [tex]= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9[/tex]

Answer: 4pi , second part is 5pi/2 + 4npi and third part is 7pi/2 + 4npi

Step-by-step explanation: Edge 2021

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

     = [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

  f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

Answer:

171200 pennies

Step-by-step explanation:

Amount after 2 years = Principal + Interest

Given

Principal = £1600

Rate = 3.5%

Time = 2years

Get the interest

Interest = PRT/100

Interest = 1600*3.5*2/100

Interest = 32 * 3.5

Interest = £112

Get the amount after 2 years;

Recall that:

Amount after 2 years = Principal + Interest

Amount after 2 years = 1600 + 112

Amount after 2 years  = £1712

Hence the amount Dan will have after 2 years is £1712

1712 pounds = (1712 * 100)penny

1712 pounds = 171200 pennies

Answer:

5/6 is eaqual to 2.5/3

Step-by-step explanation:

Answer:

y=1/4x+1

please mark as brainliest

25 pens is better because if you see the cost of one it will be cheaper

Answer:

0.015 or 1.5% tax

Step-by-step explanation:

90000x0.015 = 1350

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

-b > 6.5 - 5.25

b < 1.25

Hope this helps!

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Answer:

P(B | A) = 1.2

Step-by-step explanation:

Given

To determine

Using the formula

P(B | A) = P(A ∩ B) / P(B)

             =  .78 / .65

             = 1.2

Therefore,

P(B | A) = 1.2

Answer:

47+34= 3k + 3k + 3k + 3k

Step-by-step explanation:

6¾

Answer:

58.50

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Simply multiply to find your answer:

Answer = 600 x 1/10

Simplify. Divide:

600 x 1/10 = 600/10 = 60

60 is your answer.

~

Answer:

[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

a) The distance the bird traveled downwind is ...

  (18 miles/hour)(x hours) = 18x miles

3 miles per hour slower than 18 miles per hour is 15 miles per hour. So the distance in miles the bird traveled after x hours on the return trip is ...

  15x = 18x -5

  5 = 3x . . . . . . add 5 -15x

  x = 5/3 . . . . . .divide by 3

Then the distance traveled downwind is ...

  18x = 18(5/3) = 30 . . . . miles

and the time for the return trip is ...

  (30 mi)/(15 mi/h) = 2 h . . . . . for the entire return trip

So, the entire round trip is 2×30 miles = 60 miles.

__

b) The time for the entire trip is ...

  5/3 h downwind + 2 h return = 3 2/3 h = 3 hours 40 minutes 0 seconds

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]6 \times 10 {}^{ - 2} [/tex]

Answer:

b= 90 degrees

Step-by-step explanation:

opposite sides

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]

[tex]y + 8 = 4(x - 5)[/tex]

[tex]y - ( - 8) = 4(x - ( + 5))[/tex]

[tex] \large \boxed{( - 8,5)}[/tex]

Answer:

Local maxima at x=0

Local minima at x=4

Step-by-step explanation:

Answer:

The domain is -2 to positive 2.

Answer:

The answer is 2.3 B It is just by dividing

Answer:

B. 2.3

Step-by-step explanation:

Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.

We then have the equations:

101.2 ÷ 44 = 2.3

and therefore:

10.12 ÷ 4.4 = 2.3