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SSSSS [86.1K]
3 years ago
8

Jennifer made 5 L of punch for her party. Her brother made another 750 mL. If they combine the 2 batches, how many 180 mL servin

gs would they have? Would they have leftover
Mathematics
1 answer:
USPshnik [31]3 years ago
7 0

Answer:

31 servings

Yes there would be leftover

Step-by-step explanation:

In this question, we are asked to calculate the amount of a certain volume that would be had and if there also would be leftovers.

Firstly, to solve this question, we need to know the total volume made by the siblings.

Let’s convert What Jeniffer made to liters. It must be known that 1000ml is 1L. This means her 5L would be 5 * 1000 = 5000ml

Let’s add this to what her brother has and it would be 5000 + 750 = 5,750ml

Now they made a series of 180ml servings. We need to know how many of these would they have. We simply make a division: 5,750/180 = 31.94

There would be 31 of this and also there would be a remainder

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The American dream that means to me is being rich and famous
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3 years ago
A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate off
GuDViN [60]

Correct question is;

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week

A) Find the demand function (price p as a function of units sold x).

p(x)=______

(B) How large a rebate should the company offer the buyer in order to maximize its revenue?

$=_____

Answer:

A) p(x) = (-1/10)x + 590

B) Rebate = $170

Step-by-step explanation:

A) We are told that p(x) is the demand function and x is the number of TV sets sold per week.

Now, since for each $21 rebate offered, the number of sets sold increases by 210 per week, it means that the slope here of this demand function is; m = -21/210 = -1/10

Now, he has been selling 1400 TV sets a week at $450 each. This means; p(1400) = $450

Thus, the demand function will be;

p(x) - 450 = (-1/10)(x - 1400)

Expanding the RHS;

p(x) - 450 = (-1/10)x + 140

Add 450 to both sides to get;

p(x) = (-1/10)x + 140 + 450

p(x) = (-1/10)x + 590

B) Formula for revenue is;

R = price × quantity sold

Our demand function is p = (-1/10)x + 590

Making x the subject, we have;

x = 5900 - 10p

x is quantity sold.

Thus,

R = p(5900 - 10p)

R = 5900p - 10p²

Maximum price will occur at dR/dP = 0

Thus;

dR/dP = 5900 - 20p

At dR/dP = 0,we have;

20p = 5900

p = 5900/20

p = $280

Thus, rebate = 450 - 280 = $170

6 0
3 years ago
Solve question 13. And 14. Please!! Will reward brainliest!!
SIZIF [17.4K]

Answer:

y = 4 sin( 0.5t - \frac{4\pi }{3} ) - 2

y = a sin ( 2t - \frac{-\pi }{3}) + 2

Step-by-step explanation:

In the first question,

amplitude = 4

Period = 4\pi

phase shift = \frac{-4\pi }{3}

Vertical shift = -2

Angular velocity , w = \frac{2\pi }{time period}

Here, w = \frac{2\pi }{4\pi } = 0.5

The general equation of a wave is

y = a sin( wt + ∅ )

Putting above values in the equation,

y = 4 sin( 0.5t - \frac{4\pi }{3} ) - 2

In the second question,

Amplitude is not given so we will take it as a.

time period = \pi

w = 2

Phase shift = \frac{-\pi }{3}

Vertical shift = 2

The equation is

y = a sin ( 2t - \frac{-\pi }{3}) + 2

5 0
3 years ago
I need help with these three problems.... please help me????
viva [34]

12. Answer: 2130

<u>Step-by-step explanation:</u>

   T = -0.01y + 10.6

 9.2 = -0.01y + 10.6

<u>-10.6</u>    <u>            -10.6 </u>

 -1.4 = -0.01y

<u> ÷-0.01</u>  <u>÷-0.01 </u>

140  = y

"y" represents the number of years after 1990

 1990 + 140

= 2130

**************************************************************

13. Answer: -0.0036° per foot

<u>Step-by-step explanation:</u>

Since the relationship is linear, then we can set up the values as x, y coordinates and use the slope formula to find the rate of degrees over feet.

(6562, 63) and (16405, 28)

rate = \frac{28 - 63}{16405-6562}

      = \frac{-35}{9843}

      = \frac{-0.0036}{1}

**************************************************************

14. Answer: $0.28 per kWh

<u>Step-by-step explanation:</u>

Same reason as #13

(200, 55) and (500, 140)

rate = \frac{140-55}{500-200}

      = \frac{85}{300}

      = \frac{0.28}{1}

 

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3 years ago
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KatRina [158]

Answer:

5 SHOULD BE THE ANSWER SORRY FOR ALL CAPS

7 0
3 years ago
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