HELP ASAP

You are a running a concession stand selling hot dogs and sodas each hot dog costs .75 cents and each soda costs $1.25. You sold

tatiyna

Each hot dog costs $ 1.50 and each soda costs $ .50. You made a total of $ 78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs and soda's sold. How many hot dogs and soda's were sold?

Quantity Equation: h + s = 87
Value Equation:: 1.5h+0.5s=78.50

Multiply thru the Quantity Equation by 15
Multiply thru the Value Equation by 10.

15h + 15s = 15*87
15h + 5s = 785Subtract and solve for "s":10s = 520
s = 52 (# of soda's sold)

Solve for h:
h + s = 87
h + 52 = 87
h = 35 (# of hot dog's sold)

6 0

3 years ago

Read 2 more answers

Is y=9x proportinal?

igor_vitrenko [27]

Answer:

yeah it is

y is directly proportional to x

proportionality constant is 9

7 0

3 years ago

Last year, Keiko had $20,000 to invest. She invested some of it in an account that paid %7 simple interest per year, and she inv

erma4kov [3.2K]

Answer:

$P_2 = \$6,000\\P_1 = \$14,000$

Step-by-step explanation:

The formula of simple interest is:

$I = P_0rt$

Where I is the interest earned after t years

r is the interest rate

$P_0$ is the initial amount

We know that the investment was $20,000 in two accounts

_______________________________________________

For the first account r = 0.07 per year.

Then the formula is:

$I_1 = P_1r_1t$

Where

$P_1$ is the initial amount in account 1 at a rate $r_1$ during t = 1 year

$I_1 = P_1(0.07)(1)\\\\I_1 = 0.07P_1$

For the second account r = 0.05 per year.

Then the formula is:

$I_2 = P_2r_2t$

Where

$P_2$ is the initial amount in account 2 at a rate $r_2$ during t = 1 year

Then

$I_2 = P_2(0.05)(1)\\\\I_2 = 0.05P_2$

We know that the final profit was I $1,280.

So

$I = I_1 + I_2=1,280$

Substituting the values $I_1$ , $I_2$ and I we have:

$1,280 = 0.07P_1 + 0.05P_2$

As the total amount that was invested was $20,000 then

$P_0 = P_1 + P_2 = 20,000$

Then we multiply the second equation by -0.07 and add it to the first equation:

$0.07P_1 + 0.05P_2 = 1.280\\.\ \ \ \ \ \ \ \ +\\-0.07P_1 -0.07P_2 = -1400\\-------------$

$-0.02P_2 = -120\\\\P_2 = 6,000$

Then $P_1 = 14,000$

4 0

3 years ago

Find (f o g)(x) and (g o f)(x). g(x) = x + 5 ; f(x) = 2x.

Lana71 [14]

Answer:

The answers are

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Explanation:

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Step-by-step explanation:

I search them on goggle..and that's the answer...

4 0

3 years ago

You paint 1/ 3 of a wall in 1/4 hour. At that rate, how long will it take you to paint one wall?

Karolina [17]

Answer:

3/4 of an hour

Step-by-step explanation:

7 0

3 years ago