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2 years ago

The drama club is selling short-sleeved shirts for $5 Let x represent the number of short-sleeved shirts

Mathematics

1 answer:

lara [203]2 years ago

5 0

Answer:

Innacurate Data

Step-by-step explanation:

System of Equations

The situation described is modeled by the following system of equations:

5x + 10y = 1,750 [1]

x + y = 100 [2]

Where

x = number of short-sleeved shirts

y = number of long-sleeved shirts

Divide [1] by 5:

x + 2y = 350 [3]

Multiply [2] by -2:

-2x - 2y = -200

Add with [3]:

-x = 150

x = -150

The value of x should not be negative. This happens because the problem is inaccurately stated. Not even selling 100 of the $10 shirts we can get to $1,750.

If the total shirts sold was 200, then

x + y = 200 [2]

And x = 50, y=150 was an acceptable solution

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The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spr

nordsb [41]

Answer:

t > 82

Step-by-step explanation:

First write what we know.

Earned $72

$4 per ticket, t

Cost is $400

So let's write our equation:

The cost is $400 so we put that on the left side,

$400 =

Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.

So we write:

$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.

400 = 4t + 72 Subtract 72 from each side.

400 - 72 = 4t + 72 - 72

328 = 4t Divide each side by 4.

328/4 = 4t/4

328/4 = t

82 = t

If the committee wants money left over they need to sell more than 82 tickets!

Our inequality is:

t > 82

7 0

2 years ago

Max lost 128 pounds in 16 weeks on his new weight-loss plan. What was his average change in weight per week?

Alex

Answer:

8 pounds per week

Step-by-step explanation:

AVG= total/time span

AVG= 128/16

AVG= 8 pounds per week

Hope this helps!

7 0

2 years ago

Y = 2x + 3 how to do this

Marat540 [252]

Answer:

To graph:

Step-by-step explanation:

Plot your first point at (0,3) as it's your y-interecpt.

Then from that point move 2 up and 1 over to the right for your second point. I did this since 2 is your slope.

5 0

2 years ago

About 9% of the population has a particular genetic mutation. 900 people are randomly selected. Find the standard deviation for

timama [110]

Answer:

The standard deviation is of 8.586.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$