Angie bought 312 pounds of apples to make a pie. There are 16 ounces in one pound. How many ounces of apples did she buy?

A movie theater earned $3,600 in sold-out ticket sales for the premiere of a new movie. VIP tickets cost $20 per person and regu

julia-pushkina [17]

There are 300 seats in the theater.

Step-by-step explanation:

Given,

Cost of one VIP ticket = $20

Cost of one regular ticket = $8

Worth of sold out tickets = $3600

Let,

x represent the number of VIP tickets sold

y represent the number of regular tickets sold

20x+8y=3600 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$20x+8(2x)=3600\\20x+16x=3600\\36x=3600$

Dividing both sides by 36

$\frac{36x}{36}=\frac{3600}{36}\\x=100$

Putting x=100 in Eqn 2

$y=2(100)\\y=200$

Total = x+y = 100+200 = 300

There are 300 seats in the theater.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

6 0

3 years ago

In a population of Siberian flying squirrels in western Finland, assume that the number of pups born to each female over her lif

tekilochka [14]

Answer:

SCRIE FORMULA ŞI DENUMEŞTE SUBSTANŢA

10. 1 atom azot şi 3 atomi de

hidrogen...............................................................................................

11. 2 atomi de hidrogen, 1 atom de cabon şi 3 atomi de

oxigen.........................................................

Totul este greu înainte de

a deveni ușor

12. 1 atom de carbon şi 2 atomi de oxigen

.........................................................................................

13. 1 atom de calciu şi 1 grupare

carbonat.........................................................................................

14. Pb (II) și 1 grupare carbonat........................................................................................................

15. Co (II) și o grupare fosfat.............................................................................................................

16. Arsen și un radical sulfură...........................................................................................................

Step-by-step explanation:

SCRIE FORMULA ŞI DENUMEŞTE SUBSTANŢA

10. 1 atom azot şi 3 atomi de

hidrogen...............................................................................................

11. 2 atomi de hidrogen, 1 atom de cabon şi 3 atomi de

oxigen.........................................................

Totul este greu înainte de

a deveni ușor

12. 1 atom de carbon şi 2 atomi de oxigen

.........................................................................................

13. 1 atom de calciu şi 1 grupare

carbonat.........................................................................................

14. Pb (II) și 1 grupare carbonat........................................................................................................

15. Co (II) și o grupare fosfat.............................................................................................................

16. Arsen și un radical sulfură...........................................................................................................

5 0

3 years ago

What do I need to do for the second question???

borishaifa [10]

You need to take the data, and you need to have his income recorded as a rise early on. Then you need to peak the data at an early-mid point and then demonstrate that his income is decreasing steadily.

8 0

4 years ago

Enter a number in each blank M(x)=(2x-6)(x-4) true statements when M(x)=0 when x=

KengaRu [80]

Answer:

{3, 4}

Step-by-step explanation:

"M(x)=(2x-6)(x-4) true statements when M(x)=0 when x= ?" asks us to find the "roots" of M(x); that is, the x values at which M(x) = 0. Thus, we set

(2x - 6)(x - 4) = 0, which is equivalent to 2(x - 3)(x - 4) = 0.

Thus, x - 3 = and x = 3; also x - 4 = 0, so that x = 4.

The roots of M(x) are {3, 4}

Using the language of the original problem: "true statements when M(x)=0 when x=" the correct results, inserted into the blanks, are x = 3 and x = 4.

4 0

3 years ago

Solve each system by substitution. y=3x+4 y=4x+7

Y_Kistochka [10]

We need to solve the following system by substituition:

$\begin{cases}y=3x+4 \\ y=4x+7\end{cases}$

To solve by substituition means that we need to isolate one variable in one of the equations and replace one expression with the other. This is done below:

$\begin{gathered} (3x+4)=4x+7 \\ 3x+4=4x+7 \\ 3x-4x=7-4 \\ -x=3 \\ x=-3 \end{gathered}$

Then we need to replace the value of "x" in any of the two equations.

$\begin{gathered} y=3\cdot(-3)+4 \\ y=-9+4 \\ y=-5 \end{gathered}$

The solution is (-3,-5).

4 0

1 year ago