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andreev551 [17]
3 years ago
14

I need help please

Mathematics
1 answer:
vichka [17]3 years ago
6 0

Step-by-I think its c

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the starving actors guild holds its annual winter arts festival in hopes of raising $13,344 by selling 824 tickets. The guild ch
kap26 [50]
A + c = 824                             represents number of tickets to sell
20a + 12c = 13,344                represents cost of each type of ticket

multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'

-12(a + c = 824)

-12a - 12c = - 9888
 20a + 12c = 13,344         add equations together
-----------------------------
    8a          = 3456           divide both sides by 8
     a = 432

To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392

adult 432, children 392
8 0
3 years ago
an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile trav
Oduvanchick [21]
<h2>Automobile must travel at 96 mph to pass the truck in 4 seconds.</h2>

Step-by-step explanation:

Length of  automobile = 16 feet = 4.88 m

Length of truck = 28 feet = 8.53 m

Speed of truck = 30 mph = 48 km/h = 13.33 m/s

Time in which automobile to pass truck = 4 s

Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m

Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of  automobile, length of truck and distance traveled by truck in 4 seconds.

Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33

Distance which need to cover by automobile in 4 seconds = 66.74 m

Distance = Speed x Time

66.74 = Speed x 4

Speed = 16.69 m/s = 60 km/h = 96 mph

Automobile must travel at 96 mph to pass the truck in 4 seconds.

8 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
Luda [366]

Answer:

f^{-1}(x)=\frac{1}{2}x-\frac{1}{2} ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

∴ x - 1 = 2y

- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

* The inverse of the function is f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

7 0
3 years ago
Read 2 more answers
Please help it would be much appreciated!!
AlekseyPX

Answer:

a) P) 0.25 = 1/4  both

b) P) 0.75 = 3/4  one

c) P) 0.25  = 1/4  none

Step-by-step explanation:

4 routes to D + H

6 routes to H + S

= D  H   S

     4  | 6

    - 2 | -3

=    2  |  3  = route 1 = 2/4  and route 2 = 3/6

= 1/2 route 1 and 1/2 route 2

Answer a ) = 1/2 x 1/2 = 0.25 = 1/4  = 0.25 probability

Answer b)  = 1- (1/2 x 1/2) = 1- 0.25 = 3/4 = 0.75 probability

Answer c)  = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability  

3 0
3 years ago
A jacket costs $90 at full price. It is on sale for 30% off the regular price. What is the amount of the discount?
Sav [38]
Remember that when you find 30% of the number you have to subtract the 30% from your original $90 because it is 30% off the original price.

5 0
3 years ago
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