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Ronch [10]
3 years ago
14

In a particular card game, the minimum score a player can achieve in a single game is 20, and the maximum score possible in a si

ngle game is 52. If a player plays three games and scores a total of 141 points, what is the least number of points that the player could have scored in one of the games?
Mathematics
1 answer:
Shalnov [3]3 years ago
5 0
So if we want to know the least amount, we first want to assume the other two games both had a score of 52, so we can say the last one had the least possible.

So if both got 52, the total points would be 104, for two games of 52 points. Since we want 141 points, we therefore want 37 more points to reach 141.

So the least amount of points a player could've scored in one of the games was 37.
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The tength of a picture frame is 12 cm more than twice the width. If the perimeter is 204cm, find the
alekssr [168]

Answer:

30cm x 72 cm

Step-by-step explanation:

The perimeter is the measurements of all sides added together. Let's start by dividing the perimeter by 2, so we have the sum of the length and width. This gives us 102cm. Let's call the width <em>x</em>, and the length <em>y</em>. We know <em>y</em> is <em>x</em> times 2 plus 12. (2x + 12) So, we know [x + y = x + (2x + 12)]. So let's solve.

x + y = x + (2x + 12)

102 = x + (2x + 12)

102 = 3x + 12

102 - 12 = 3x + 12 - 12

90 = 3x

90/3 = 3x/3

30 = x

The width is 30cm.

8 0
2 years ago
If C ( x ) = 11000 + 500 x − 3.6 x 2 + 0.004 x 3 is the cost function and p ( x ) = 1700 − 9 x is the demand function, find the
Bess [88]

Answer:

Step-by-step explanation:

The cost function = C(x)

The demand function = P(x)

C(x) = 11000 + 500x - 3.6x^2 + + 0.004x^3

P(x) = 1700 - 9x

Differentiate C(x) with respect to x

C'(x) = 500 - 7.2x + 0.012x^2

C'(x) is the marginal cost

Revenue = x. P(x)

R(x) = x( 1700 -9x)

= 1700x - 9x^2

Differentiate R(x) with respect to x

R'(x) = 1700 - 18x

R'(x) is the marginal revenue

Profit is maximized when R'(x) = C'(x)

1700 - 18x = 500 - 7.2x + 0.012x^2

Collect like terms

0 = 500 - 1700 - 7.2x +18x +0.012x^2

0 = -1200 + 10.8x +0.012x^2

0 = 0.012x^2 + 10.8x - 1200

Using x=( -b +_ √b^2 - 4ac) /2a

a = 0.012 , b= 10.8 , c= -1200

x= (-10.8 +_ √(10.8^2) - 4*0.012*(-1200)) /2*0.012

= ( -10.8 +_√116.64 + 57.6) / 0.024

= (-10.8 +_ √174.24) / 0.024

= (-10.8 +_13.2) / 0.024

= (-10.8+13.2)/0.024 or (-10.8 - 13.2)/0.024

= 2.4/0.024 or -24/0.024

x= 100 or -1000

Since our profit cannot be negative, the profit = $100

5 0
3 years ago
There were 200 people at the baseball game. Each of them bought a $8 ticket to get into the game. How much money did the people
irina1246 [14]
8 x 200

= 8 x 2 x 100

= 16 x 100

= 1,600

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

Answer:

$1,600
7 0
3 years ago
Read 2 more answers
Does 28,53,45 make a right triangle
Arada [10]

Answer:

yesh it does

Step-by-step explanation:

7 0
3 years ago
The ratio of people who own a car to the number of people who own a SUV is 6:5.If 200 more people own a car than a SUV,how many
SashulF [63]
So for every 6 people with a car, there are another 5 that own an SUV, or expressed the other way around, for every 5 SUVs, there's one extra car. If there are 200 extra cars, that means there are 5 × 200 SUVs = 1000 SUVs, and 1200 cars.

Now let's just quickly test if the math is correct, and if the ratio of cars to SUVs is still 6:5:
1200 : 1000 << get rid of the 00
12 : 10 << divide by two
6:5
Yep, math is correct.

Answer: There are 1200 people who own cars, and 1000 people who own SUVs.
7 0
3 years ago
Read 2 more answers
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