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shtirl [24]
3 years ago
14

Mr. Fat needs 20 minutes to eat a pound of cereal, while Mr. Thin needs 30 minutes. If they eat together, how long does it take

for them to finish off three pounds of cereal? Express your answer in minutes.
Mathematics
1 answer:
marishachu [46]3 years ago
4 0
36 minutes.

(1/20)x+(1/30)x=1solve for x (x=0.8333333333......)
Considering they take the same times for all 3 pounds,
That would mean that since 1 pound takes 12 minutes, then 3 pounds take 36 minutes
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A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. W
crimeas [40]

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

6 0
3 years ago
What’s the volume of a cylinder with a base of 25 and height of 6
Anastasy [175]
Approximately 2945.24 units
4 0
3 years ago
Read 2 more answers
Daniella collected 4242 bushels of peas from her garden today. Tomorrow she will send \frac{3}{7} 7 3 ​ of the peas to market. H
Vaselesa [24]

Answer: 24

Step-by-step explanation:

Amount of bushels of peas collected = 42

Fraction that'll be sent to market = 3/7

Fraction that'll be kept = 1 - 3/7 = 7/7 - 3/7 = 4/7

The number of bushels that'll be kept will be:

= Fraction that'll be kept × Total number of bushels collected

= 4/7 × 42

= 24

7 0
3 years ago
Two random samples were taken to determine how often people in a community listen to the local radio station each month.
Dvinal [7]

Answer:

1 2 4 6. Tell me if im wrong.

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP
laila [671]
<h3><u>Option A</u></h3>

4 x^{2}+32 x-80=0 is the required equation to calculate width of rectangular frame that has a total area of 140 square inches.

<h3><u>Solution:</u></h3>

Given that,

Length of a rectangular frame is given as 2x + 10

Width of the rectangular frame is given as 2x + 6

Total area = 140 square inches

<em><u>The area of rectangular frame is given as:</u></em>

\text {area of rectangle}=\text {length } \times \text {width}

Plugging in values, we get

\begin{array}{l}{(2 x+10)(2 x+6)=140} \\\\ {4 x^{2}+12 x+20 x=80} \\\\ {4 x^{2}+32 x-80=0}\end{array}

This is the required equation to calculate width of rectangular frame

Solve the above quadratic equation to get the value of "x"

4 x^{2}+32 x-80=0

<em><u>Use the quadratic equation formula:</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here a = 4 ; b = 32 ; c = -80

x=\frac{-32 \pm \sqrt{32^{2}-4(4)(-80)}}{2(4)}

x=\frac{-32 \pm \sqrt{2304}}{8}

x = 2 or x = -10

Now measurement cannot be negative, so taking the positve value of "x", we can calculate the width

So put "x" = 2

Width of the rectangular frame = 2x + 6 = 2(2) + 6 = 10

Thus the width of frame is 10 inches

4 0
3 years ago
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