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yaroslaw [1]
3 years ago
5

A = p + prt solve for t

Mathematics
1 answer:
AveGali [126]3 years ago
7 0

Answer:

t = \frac{A - p}{pr}

Step-by-step explanation:

A = p + prt

A - p = p - p + prt

A - p = 0 + prt

A - p = prt

\frac{A - p}{pr} = \frac{prt}{pr}

\frac{A - P}{pr} = t

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The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults. On a certain day
GaryK [48]

Answer:

Number of child tickets =  800

Number of adult tickets = 330

Step-by-step explanation:

Let c = number of child tickets

and  a= the number of adult tickets.

We are given:

The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults.

On a certain day, 1,130 enter the festival and 2, 520 is collected.

Making equations:

c+a=1130 (because total people entered are 1130, so adding number of adult and child tickets will give us total number of people)

1.50c+4.00a=2520  (because total money collected is 2520, so adding coat of adult and child tickets will give us total money)

Now, solving these equations simultaneously, we can find values of x and y

Let:

c+a=1130--eq(1)\\1.50c+4.00a=2520--eq(2)

From equation 1 find value of c and put it in eq(2)

c+a=1130\\c=1130-a

Putting value of c in eq(2)

1.50c+4.00a=2520\\Put\:c=1130-a\\1.5(1130-a)+4a=2520\\1695-1.5a+4a=2520\\-1.5a+4a=2520-1695\\2.5a=825\\a=\frac{825}{2.5}\\a=330

So, we get value of a = 330

Now, punting value of a in eq(1) to get value of c

c+a=1130\\c+330=1130\\c=1130-330\\c=800

So, we get value of c = 800

Therefore:

Number of child tickets = c= 800

Number of adult tickets = a = 330

4 0
3 years ago
Find the value of two numbers if their sum is 17 and their difference is 1.
Solnce55 [7]

Answer:

The values are 9 and 8

Step-by-step explanation:

Let the first number be x

Let the second number be y

The sum of x and y is x+y=17

The difference of x and y  is x-y=1

x+y=17  (this is equation 1)

x-y=1     (this is equation 2)

Now we will add equation 1 and equation 2.

x+y = 17

x-y = 1

______

2x   =18

x= 18/2

x= 9

Now put the value of x in equation 1.

x+y = 17

9+y = 17

y = 17-9

y = 8

Solution Set ={(x,y)(9,8)}

6 0
4 years ago
If the three angles on one triangle have the same measure as the three angles on another triangle, then the triangles are congru
grigory [225]

Answer:

Is this a question?

Step-by-step explanation:

You're correct, but this isn't a question...

5 0
3 years ago
Enter an algebraic expression that represents the difference between e squared and twenty-one
Readme [11.4K]

Answer: e^2 - 21

Step-by-step explanation:

e squared will  e^2  

twenty one will be 21.  

The diffrence is the same as subtraction .  

e^2 - 12

3 0
3 years ago
How do you solve 4.32 ÷ 1.2​
SOVA2 [1]

Answer:

Step-by-step explanation:use a calculator then press 4.32 divided by 12 whatever you get that is the answer

5 0
3 years ago
Read 2 more answers
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