A total of 202 tickets were sold for a theatre showing. If child tickets cost $6 and adult tickets cost $10, how many tickets of each were sold if the theatre earned a total of $1708.

Answer:

x=-2 solves the equation h(x)=10.

Step-by-step explanation:

Given the function

[tex]h\left(x\right)\:=\:2x^2\:-\:7x-12[/tex]

Putting [tex]h(x)=10[/tex] in the function

[tex]10=2x^2-7x-12[/tex]

switch both sides

[tex]2x^2-7x-12=10[/tex]

add 12 to both sides

[tex]2x^2-7x-12+12=10+12[/tex]

[tex]2x^2-7x=22[/tex]

Divide both sides by 2

[tex]\frac{2x^2-7x}{2}=\frac{22}{2}[/tex]

[tex]x^2-\frac{7x}{2}=11[/tex]

Rewriting in the form x²+2ax+a²

[tex]\mathrm{Add\:}\left(-\frac{7}{4}\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=11+\left(-\frac{7}{4}\right)^2[/tex]

[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]

[tex]\left(x-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

slove

[tex]x-\frac{7}{4}=\sqrt{\frac{225}{16}}[/tex]

[tex]x-\frac{7}{4}=\frac{\sqrt{225}}{\sqrt{16}}[/tex]

[tex]x-\frac{7}{4}=\frac{15}{4}[/tex]

[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]

[tex]x-\frac{7}{4}+\frac{7}{4}=\frac{15}{4}+\frac{7}{4}[/tex]

[tex]x=\frac{11}{2}[/tex]

solving

[tex]x-\frac{7}{4}=-\sqrt{\frac{225}{16}}[/tex]

[tex]x-\frac{7}{4}=-\frac{15}{4}[/tex]

[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]

[tex]x-\frac{7}{4}+\frac{7}{4}=-\frac{15}{4}+\frac{7}{4}[/tex]

[tex]x=-2[/tex]

The solutions to the quadratic equation are:

[tex]x=\frac{11}{2},\:x=-2[/tex]

Therefore, x=-2 solves the equation h(x)=10.

Answer:28.8

Step-by-step explanation:

Answer:

you can give her brainliest now c:

Step-by-step explanation:

Answer:

Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Step-by-step explanation:

According to trigonometry identity;

Cos 30° = √3/2

To get the expression equivalent to 30°, we will take the inverse of both sides as shown;

Cos^-1(cos 30°) = cos^-1(√3/2)

The arccos will cancel out the cos on the left hand side of the equation to have;

30° = cos^-1(√3/2)

Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Answer:

the Answer is A

Step-by-step explanation:

Edge 2020

Answer:

one solution

Step-by-step explanation:

Given

9(3x - 5) = - 9(- 5x - 3) ← distribute parenthesis on both sides )

27x - 45 = 45x + 27 ( subtract 45x from both sides )

- 18x - 45 = 27 ( add 45 to both sides )

- 18x = 72 ( divide both sides by - 18 )

x = - 4

Answer:

About 4.5

Step-by-step explanation:

First, divide 28 by 3, round to closest number (2 numbers after the decimal) then take 42 divided by that number (9.33), and you get about 4.5

Hope this helped!

Answer:

I believe that the general store offers a better deal.

Answer:

I believe that the general store offers a better deal

Step-by-step explanation:

Answer:

y= 4x (any number negative or positive except -9)

Write this on your paper:

y = 4x +1

Answer:

3,724 cubic inches

Step-by-step explanation:

All you have to do is multiply 19•14•14

Answer:

why are you cheating

Step-by-step explanation:

whats your reputation

Answer:

Step-by-step explanation:

Yes

Answer:

to go yes back

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

B) x=-9

Step-by-step explanation:

Answer:

X=-6

Step-by-step explanation:

-2 times -6= 12          12+8=20

Answer:

m= -3

b= 4

Step-by-step explanation:

whatever number has x next to it is always slope, that is how you find slope in a equation. To find y-intercept (b) you can just use the other number that doesn't have x to it.

Hope this helps!!!

I think c???? because yeah dsfiesnfgb

Answer:

i have that same Question

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

4-8 = -4

-1 - -3 = 2

-4/2= -2

Answer:

n = 12

Ava has 12 times as many eggs as Cole

Step-by-step explanation:

May I have brainliest please? :)

Answer:

water world give lower priced offer

Step-by-step explanation:

Offer given by Aqua Plus

two-year membership for $479.76

it means,

for 24 month=$479.76

For 1 month=$

For 1 month membership Aqua Plus  take $19.99

Now Offer given by Water World

18-month membership for $350.00

it means for 18 month=$350.00

and For 1 month=$

For 1 month membership water world takes $19.44

it means amount taken by water world for 1 month membership is less than the amount taken for 1 month by Aqua plus

Therefore, water world give lower priced offer.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

wheres the question??

Answer:

Ana runs at a speed of 7.5 miles per hour

Step-by-step explanation:

Speed

Is the rate at which the distance changes in time.

The formula to calculate the speed is:

[tex]\displaystyle v=\frac{d}{t}[/tex]

Where d is the distance traveled in time t.

We know Ana runs a distance of d=3/4 miles in 6 minutes, already converted to t=1/10 hours.

Thus, the speed is calculated as follows:

[tex]\displaystyle v=\frac{\frac{3}{4}}{\frac{1}{10}}[/tex]

Multiplying by the reciprocal of the denominator:

[tex]\displaystyle v=\frac{3}{4}\cdot \frac{10}{1}=\frac{30}{4}[/tex]

v=7.5 mile/h

Ana runs at a speed of 7.5 miles per hour

Answer:

your answer is 96

Step-by-step explanation:

hope this helps

Answer:

66

Step-by-step explanation:

9-3=6

6 x 11=66 :))))

Answer:

D

Step-by-step explanation:

the x value = 1 so move to the right 1 mark on the graph and since y = -5 you move down 5 marks on the graph and you get you answer

hope this helps!

plz mark me brainliest if this helped!

have a great day!

Answer:

what are the options

Step-by-step explanation:

Answer:

I think it is 0

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To find the y-intercept from a table all you have to do is find when x is 0 because the y-intercept is (0,5) on a graph

Answer:

30

Step-by-step explanation:

x+2x+3x=180

6x=180

x=30

Answer:

It takes more time on moon for the rock to fall.

Step-by-step explanation:

Given that:

Time it takes for rock to fall d meters on earth = √0.45d

Time it takes for rock to fall d meters on moon = √1.11d

For a rock to fall 50 meters:

On earth :

Time = √0.45*50 = 4.7434164 seconds

On moon :

Time = √1.11*50 = 7.4498322 seconds

Time on moon > Time on earth

Hence, It takes more time on moon for the rock to fall.

Answer:

7.5

Step-by-step explanation:

4*3.5 = 14

4*-1.5 = -6

14 + -6 = 8

8-1/2 = 7.5

Answer:

7.5

Step-by-step explanation: