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2 years ago

Plz help I don't understand this question.

Mathematics

1 answer:

ladessa [460]2 years ago

6 0

<h3>Answer: 12</h3>

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Explanation:

j = number of jerseys ordered
c = total cost in dollars

For company X, the equation is c = 10j + 115 where the 10j is the cost of buying all the jerseys (j of them). Then we tack on the flat fee of $115

The equation for company Y is c = 20j for similar reasoning as the previous company, but now each jersey costs $20. We don't add on anything else because there isn't an extra flat fee.

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We have this system

$\begin{cases}c = 10j+115\\c = 20j\end{cases}$

which are the equations for company X and company Y in that order.

Both equations have 'c' on the left side. So we can equate the right hand sides and solve for j

20j = 10j+115

20j-10j = 115

10j = 115

j = 115/10

j = 11.50

Recall that j is the number of jerseys. It's not possible to order half a jersey, so we have to round to the nearest whole number. The question is: which way? We're right at the midpoint between j = 11 and j = 12. Let's check both values of j to see what the costs are for each company.

j = 11 for company X leads to c = 10j+115 = 10*11+115 = 225
j = 11 for company Y leads to c = 20j = 20*11 = 220

Company Y is the cheaper option if you bought 11 jerseys. But we want to know when company X is the better deal. Let's try j = 12

j = 12 for company X leads to c = 10j+115 = 10*12+115 = 235
j = 12 for company Y leads to c = 20j = 20*12 = 240

This time company X is the winner in terms of the best deal (aka cheapest cost). If j gets any bigger, then company X is still the winner. So we can see that the minimum order must be 12 jerseys if we want company X to be the cheapest option.

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Tap A takes 6 minutes to fill a tank and tap b takes 9 minutes to fill the same tank. Pipe C can empty the tank in 15 minutes. H

jekas [21]

Answer: approximately 4.7368 minutes

This decimal value is the result of computing 90/19

=====================================================

Explanation:

Let's find the LCM of 6, 9 and 15. First, list out the prime factorization of each value.

6 = 2*3
9 = 3*3
15 = 3*5

The unique prime factors are 2, 3, and 5. We have 2 show up at most once, 3 show up at most twice, and 5 show up at most once. The LCM is 2^1*3^2*5^1 = 2*9*5 = 18*5 = 90.

We'll use this LCM value to set up an example below.

---------------

Consider the tank to be 90 gallons. If we only use tap A, keep tap B closed, and don't open pipe C, then tap A fills the tank at a rate of 90/6 = 15 gallons per minute since it needs 6 minutes to completely fill the tank.

If we have tap B do all the work (keep tap A and pipe C closed), then the rate is 90/9 = 10 gallons per minute for this tap.

Keeping pipe C closed, the two taps A and B work together to have a combined rate of 15+10 = 25 gallons per minute.

Now we consider pipe C being opened. This drains the tank and can do so in 15 minutes (assume the taps A and B aren't open). If we're dealing with a full 90 gallon tank, then its rate is 90/15 = 6 gallons per minute.

The net rate is 25-6 = 19 gallons per minute. We can think of it as a tug of war where the taps A and B ultimately win out despite the fact that pipe C is draining the water. The two taps fill the tank faster than the pipe can drain the tank.

In other words, the tank ultimately gets filled up rather than drained out over the long run. That net speed is at 19 gallons per minute.

The amount of time needed is approximately 90/19 = 4.7368 minutes.

Side note: you can start with any size tank. It doesn't have to be 90 gallons. I picked on this value because it works cleanly with the original given numbers 6, 9 and 15.

6 0

3 years ago

Read 2 more answers

I cannot figure out the work for this problem.

Vedmedyk [2.9K]

Your answer should be -2
Use PEMDAS if confused!
Parentheses
Exponent
Multiplication
Division
Addition
Subtraction.
You would first calculate the number in between your parentheses which would give you -1. Then do -1 to the power of 4(-1^4) which still gives you -1 and then multiply it by 2 which should give you your answer -2. :)
Hope this helps.

8 0

3 years ago

hi i need help. So more math i have to look at what breed weighs more and explain plz. maine coon kitten with a mean of 6.2. Or

nasty-shy [4]

I believe Maine Coone would weigh more because its mean is 6.2 and that is a greater amount than 3.

3 0

3 years ago

What is the image point of (0,-9)after a translation right 5 units and down 1 unit?

nekit [7.7K]

Answer:

I think 0 -10 or mabe 0,-11

6 0

2 years ago

Find the equation of the tangent line and normal line to the curve y=(6+4x)2 at the point (6,900). Write the equations of the li

Ksenya-84 [330]

Answer:

Equation of the tangent to the curve

y = 240x - 215994

Equation of the normal

y = (-1/240)x + 9.75 = - 0.00417x + 9.75

Step-by-step explanation:

y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36

dy/dx = 32x + 48

At the point (6,900),

dy/dx = 32(6) + 48 = 240

Equation of the tangent at point (a,b) is

(y - b) = m(x - a)

a = 6, b = 900, m = 240

y - 6 = 240(x - 900)

In the y = mx + b form,

y - 6 = 240x - 216000

y = 240x - 215994

The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)

Slope of the normal line = -1/240

Equation of normal

y - 6 = (-1/240)(x - 900)

y - 6 = (-x/240) + 3.75

y = (-1/240)x + 9.75

y = - 0.00417x + 9.75

8 0

3 years ago