9. BUSINESS For maximum efficiency, a factory must have at least 100 workers, but no more than 200 workers on a
shift. The factory also must manufacture at least 30 units per worker.
a. Let x be the number of workers and let y be the number of units. Write four inequalities expressing the conditions in
the problem given above.
c. List at least 3 possible solutions.
b. Graph the systems of inequalities.

Answer:

Uh 7/24?

Step-by-step explanation:

Just doing this in my head fyi lol

Answer:

$45.90

Step-by-step explanation:

What 15% off means is 85% of the original price ($54). 85% is the same as 17/20. Multiply 17/20 by 54 (or multiply 3/20 by 54 and subtract that from 54) to get the sale price.

(17 * 54)/20 (Multiply 17 by 54)

918/20 (Reduce if needed)

459/10 (Divide 459 by 10)

45.9

The sale price of the comforter is $45.90.

9514 1404 393

Answer:

  mm:ss = 11:40

Step-by-step explanation:

We assume the amount of gain is proportional to the time that passes.

  g/7 = 5/3

  g = 7(5/3) = 35/3 = 11 2/3 . . . . minutes

The clock will have gained 11 minutes and 40 seconds after 7 days.

Answer:

1 had only basketball hope that helps

Step-by-step explanation:

Answer:

√10/2x

Step-by-step explanation:

Multiply by √6 on the top and bottom to rationalize the denominator.

(√15×√6)/(√6x×√6) = √90/6x = (√9×√10)/6x = 3√10/6x = √10/2x

Answer:

The answer is 48

Step-by-step explanation:

160% is the same as 1.60

A percent of something means you have to multiply them together

1.60 times 30=48

Hope this helps!!

The correct answer is C) 54.34°.

Answer:

Its c

Step-by-step explanation:

Answer:

50 is 200% of 25

Step-by-step explanation:

50 is 200 percent of 25.

To find the percentage of one number in relation to another, we can use the following formula:

(Percentage / 100) * Base = Amount

In this case, we want to find what percentage of 25 is 50.

Let's use x to represent the percentage:

(x / 100) * 25 = 50

To solve for x, we can divide both sides of the equation by 25:

(x / 100) = 50 / 25

Simplifying:

(x / 100) = 2

Next, we can cross-multiply:

x = 100 * 2

Simplifying:

x = 200

Therefore, 50 is 200% of 25.

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Answer:

358 randomly selected air passengers must be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

Assume that a prior survey suggests that about 22​% of air passengers prefer an aisle seat.

This means that [tex]\pi = 0.22[/tex]

How many randomly selected air passengers must you​ survey?

We need a sample of n, and n is found for which [tex]M = 0.051[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.051 = 2.327\sqrt{\frac{0.22*0.78}{n}}[/tex]

[tex]0.051\sqrt{n} = 2.327\sqrt{0.22*0.78}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.22*0.78}}{0.051}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.22*0.78}}{0.051})^2[/tex]

[tex]n = 357.2[/tex]

Rounding up

358 randomly selected air passengers must be surveyed.

Answer:

B; x squared, 2x squared

Step-by-step explanation:

I took the test :))

Answer:

B; x squared, 2x squared

Step-by-step explanation:

hopefully this helped you

Step-by-step explanation:

1 litre = 1000ml

780ml left

lost amount = 1000 - 780 = 220ml

Answer:

234

Step-by-step explanation:

So what we know is that

5x+9x= students

This equation is saying that for every 5 boys there are 9 girls

we can then plug in 364 for the number of students and add like terms

This means that 14x=364

this means that x=26

This means that there are 26 sets of 5 boys and 9 girls

this means that there are

130 boys

234 girls

Answer:

Part A 225-81=144

Step-by-step explanation:

1. 15×15 =225

2. 3×3×3×3 =81

Let's solve your equation step-by-step.

x3+5x2+2x+10=0

Step 1: Factor left side of equation.

(x+5)(x2+2)=0

Step 2: Set factors equal to 0.

x+5=0 or x2+2=0

x=−5

Answer:

x=−5

Answer:

C.

Step-by-step explanation:

[tex]\left \{ {{2x+y=10,3} \atop {3x+y=14,8}} \right.[/tex]

[tex]\left \{ {{y=10,3-2x} \atop {y=14,8-3x}} \right.[/tex]

10,3-2x=14,8-3x

x=4,5 - one hamburger

y=1,3 - one milk shake

OR:

$14,8-$10,3=$4,5 - one hamburger

2*4,5+y=10,3

y=1,3 - one milk shake

2y=2,6

Answer:

5

The value of y is also 5!

The value of pair (x,y) is (5,5)

Hopefully this helped! :D

-LavenderVye

Answer:

Both

Step-by-step explanation:

Khan

Both of their strategies completing the square and factoring the left-hand side would work.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given a quadratic equation x² + 8x = 2x - 8.

They both agreed that first subtract 2x and add 8 to both sides and rewrite the equation as

x² + 6x + 8 = 0.

Both of their strategies would work.

As x² + 6x + 9 = 1

(x + 3)² = 1.

x + 3 = ± 1

x = ± 1 - 3.

x = - 2 or - 4.

x² + 6x + 8 = 0.

x² + 4x + 2x + 8 = 0.

x(x + 4) + 2(x + 4) = 0.

(x + 4)(x + 2) = 0.

x = - 4 or x = - 2.

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Answer:

A. 67.8%

Step-by-step explanation:

the total number of occurences are 202

Now the total number of occurencess for 4 and below are 137

So Heres the quickest way to do it: Divide 137 by 202 then multiply it by 100 being 100%

Then you would get 67.8, then well put the percent sign behind it.

Answer:

There is a total of 10 sausages. I am 100% sure.

Step-by-step explanation:

A bucket of sausages fed 15 hungry kittens. Each sausage or half of a sausage is sliced into two pieces. They chopped 20 sausages and gave each kitten two (perhaps unequal) portions.  Therefore, there were 34,952 sausages in the bucket.

At the start, there is one sausage bucket, and the 15 kittens want to share it.

The first cut divides the sausage into two pieces.

After the second cut, there are four pieces of sausage.

After the third cut, there are eight pieces.

After the fourth cut, there are 16 pieces.

As we can observe, the number of pieces of sausage doubles with each cut. After 20 cuts, there will be 2²⁰ (2 raised to the power of 20) pieces of sausage.

Now, since each kitten received two pieces of sausage, the total number of sausages in the bucket can be calculated by dividing the total number of pieces by 2 × 15 (since there are 15 kittens).

Total sausages = (2²⁰) / (2 × 15)

Let's simplify this:

Total sausages = 2¹⁹ / 15

Now, let's calculate the value:

Total sausages = 524,288 / 15

Total sausages = 34,952.53

Since you can't have a fraction of a sausage, we need to round down to the nearest whole number.

Therefore, there were 34,952 sausages in the bucket.

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Answer:

first one is the answer to this

Step-by-step explanation:

Answer:

y=16

Step-by-step explanation:

x=2

y=-3x+22

y=-3(2)+22 then y=-6+22, y=16

Answer:

see explanation below

Step-by-step explanation:

You have three pairs of shoes (white, brown, and black), and you have 6 pairs of pants ( brown,  blue, grey, white, sand, and  black)

We use the Fundamental Counting Principle to find the number of possible pant-shoe combinations:

3 * 6 = 18

then we can find the probability of wearing by random selection brown shoes with either blue or grey pants:

prob (brown shoes & blue pants) + prob (brown shoes & grey pants) =

= 1/18 + 1/18 = 2/18 = 1/9

Answer:

skewed left

Step-by-step explanation: