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Komok [63]
1 year ago
12

A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 annually, and vide

o games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal?

Mathematics
1 answer:
snow_tiger [21]1 year ago
6 0

Answer:

54+2.50x=4.75x

x=24 video games

Step-by-step explanation:

54+2.50x=4.75x

54=2.25x

x=24

Check answer:

54+2.5(24)=2.25(24)

114=114

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In June 2012, Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers,
gulaghasi [49]

Each tweet would cost between 1 and 140 pennies you can write that as an inequality [1 ≤ x ≤ 140] Since you can't tweet 0 characters or above 140.

if you want to change it to pounds divide by 100.

A) 1 ≤ x ≤ 140

B) Each character costs a penny, you can't tweet less than 1 character or above 140.

3 0
1 year ago
Clay can run one lap around the track in 1/4 of an hour. How many hours will it take him to run 5 1/3 laps around the track?
Jet001 [13]

Answer: It will take him 1 hour and 35 min

8 0
1 year ago
Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours of production time
user100 [1]

The question is incomplete, here is the complete question

Recall the production model from Section 1.3:

Max 10x

s.t. 5x ≤ 40

x ≥ 0

Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours for each unit produced. Assume total production capacity remains 40 units. Use y as the number of units of product 2 produced. . Show the mathematical model when both products are considered simultaneously.

Answer:

Max Profit: 10x + 5y

5x + 2y ≤ 40

x ≥ 0, y ≥ 0

Explanation:

x= number of units of product 1 produced

y = number of units of product 2 produced

Since the first product, x, has a unit profit of $10 and Max1 is 10x

Second product, y, has a unit profit of $5, Max2 = 5y

The maximum profit when both products are considered simultaneously is 10x + 5y

Max Profit = 10x + 5y

Time required for each unit of x is 5hours

Therefore, time required for x units is 5x hours

Time required for each unit of y is 2hours  

Therefore, time required for y units is 2y hours

Time required for the simultaneous production of both products is 5x + 2y

Since production capacity remains 40 units, 5x+2y ≤40

NB: The values of x and y cannot be negative  

5 0
1 year ago
A graduate weighs 35.825 g. When 10 mL of water are measured in it, the weight of the graduate and water is 45.835 g. Calculate
erik [133]

Answer:

Calculated weight of water = 10.01 g

percentage error = 0.1%

Step-by-step explanation:

Given:

Weight of graduate = 35.825 g

Weight of graduate + Water = 45.835 g

Now,

The weight of water = ( Weight of graduate + Water ) - Weight of graduate

or

The weight of water = 45.835 - 35.825

or

The weight of water = 10.01 g

Now,

The percentage of error = \frac{\textup{Calculated value - Actual value}}{\textup{Actual value}}\times100

or

The percentage error = \frac{\textup{10.01 - 10}}{\textup{10}}\times100

or

The percentage error = 0.1%

3 0
2 years ago
Find the general form of the function that satisfies da/dt = -9a
posledela
The given equation is
\frac{da}{dt} =-9a

This ODE (Ordinary Differential Equation) is separable.
That is,
\frac{da}{a} = -9

Integrate to obtain
\int  \frac{da}{a} =-9 \int dt \\\\ ln(a) = -9t + k \\\\ a(t) = c \, e^{-9t}
where k, c are constants.

Answer:  a(t) = c \, e^{-9t}, c = constant.

4 0
1 year ago
Read 2 more answers
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