A movie theater sells adults' tickets and children's tickets.

If y varies inversely as x and y=7 when x=−4, find y when x=2.

olga2289 [7]

Answer:

Explanation:

The statement is expressed as

y

∝

1

x

inverse means

1

variable

To convert to an equation introduce k, the constant of variation.

y

=

k

×

1

x

⇒

y

=

k

x

To find k use the given condition that y = 8 when x = 4

8

=

k

4

⇒

k

=

4

×

8

=

32

⇒

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

2

y

=

32

x

2

∣

−−−−−−−−−−−−

x

=

16

→

y

=

32

16

⇒

y

=

2

when

x

=

16

5 0

3 years ago

Can someone please answer. There is one problem. There's a picture. Thank you!

lidiya [134]

The second choice is the correct one.

3 0

3 years ago

Read 2 more answers

Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFra

Masteriza [31]

Answer:

Correct Option is : StartFraction 1 Over m Superscript 8 EndFraction

Step-by-step explanation:

=> $m^{-8} p^0$

According to law of exponents $a^0 = 1$

=> $m^{-8} (1)$

Using Law of exponents $a^{-m} = \frac{1}{a^m}$

=> $\frac{1}{m^8}$

5 0

2 years ago

Four sevenths plus five sixths

aliya0001 [1]

Answer:

1.40476190476

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A snack food manufacturer buys corn for tortilla chips from two cooperatives, one in Iowa and one in Illinois. The price per uni

aleksandrvk [35]

Answer:

a. x1 = No. of units to purchase from Iowa

x2 = No. of units to purchase from Illinois

b. Min 6x1 + 5.5x2

c. x1 + x2 ≥ 12000

x1 ≤ 8000

x2 ≥ 6000

Step-by-step explanation:

a. We can consider the variables x1 and x2 as:

x1 = No. of units to purchase from Iowa

x2 = No. of units to purchase from Illinois

b. Price per unit of Iowa corn = $6

Price per unit of Illinois corn = $5.5

Objective function that would minimize the total cost can be written as:

Min 6x1 + 5.5x2

c. The manufacturer needs at least 12000 units of corn which means that the combined number of units from Iowa and Illinois must be greater than or equal to 12000. So, we can write:

x1 + x2 ≥ 12000

The Iowa cooperative can supply up to 8000 units which means that the value of x1 must not be greater than 8000. So, we can write:

x1 ≤ 8000

Similarly, the Illinois cooperative can supply at least 6000 units which means that the value of x2 must not be less than 6000. So, we can write:

x2 ≥ 6000.

The constraints for these conditions are:

x1 + x2 ≥ 12000

x1 ≤ 8000

x2 ≥ 6000

6 0

2 years ago