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3 years ago

7

The drama department was considering two options for the winter production. They used the following equations to represent the p

rofit, y, they
would make from the sale of tickets, x, minus the costs.
Option A: y= 5x - 1500
Option B: y = 3x - 500
Which graph correctly shows the point after which Option A becomes more profitable than Option B?

1 answer:

stellarik [79]3 years ago

8 0

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

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garik1379 [7]

Answer:

5<em>i</em>

Step-by-step explanation:

= $\sqrt{-1 * 25}$
= $\sqrt{-1}\sqrt{25}$
= $\sqrt{-1}$ * 5

Rule: $\sqrt{-1}$ = <em>i</em>

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3 years ago

20 points and brainliest answer for correct answer. Photo above. Due by 9:45 today! Hi

SSSSS [86.1K]

Answer:

146 square meters

Step-by-step explanation:

We can split the figure into a 6 by 15 rectangle and a parallelogram (8 base, 7 height).

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3 years ago

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Nataly_w [17]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A’s DJ service charges a $200 setup fee and $75 an hour after that.

Bogdan [553]

The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

$y=200+75x$ .... (1)

Let Y represent the cost for B's DJ service.

$y=125x$ .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

$125x= 200+75x$

$125x-75x=200$

$50x=200$

$x=4$

$y=125\times 4 =500$

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

$-y = -125x$ .... Equation (3).

Add euation (1) and equation (3)

$y+(-y) = 200+75x-125x$

$0=200-50x$

$50x=200, x=4$

$y=500$

Solution: For x = 4, y = 500 ( same as the previous two methods)

For x = 2, equation (1)

$y=200+(75\times 2) = 350$

For x = 2, equation (2)

$y= 125\times 2 =250$

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

For x = 6 hours, equation (1)

$y=200+(75\times 6) =650$

For x= 6, equation (2)

$y=125\times 6=750$

For 6 hours, DJ A would be better option since it charges $650 for 6 hours.

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3 years ago

Kyle wants to compare 0.02 to 1/4 using fractions. Which fraction can you use for 0.02?

Crazy boy [7]

Answer:

$\frac{1}{50}$

Step-by-step explanation:

$\text{Kyle wants to compare 0.02 to }\frac{1}{4} \text{ using fractions}\\\\\text{we need to convert 0.02 into fractional form.}\\\\\text{to convert a decimal into fractional form we divide by }10^n,\\\text{where n is the number of digits after decimal, and remove decimals}\\\text{from the number.}\\$

$\text{here in 0.02, we can see that the number of digits ater decimal is 2,}\\\text{so to convert it into fractional form, we get}\\\\0.02=\frac{2}{10^2}\\\\=\frac{2}{100}\\\\=\frac{1}{50}\\\\\text{so in decimal form, we can write 0.02 as }\frac{1}{50}\\$

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3 years ago