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zalisa [80]
3 years ago
7

The total points scored in a basketball game can be calculated using the expression 3c + 3. If c = 41, how many points total wer

e scored?
Mathematics
2 answers:
Gennadij [26K]3 years ago
7 0
The answer is 126 because you put the equation like this 3(41)+3 and solve you multiply 41 by 3 and then add 3 and get 126

Anuta_ua [19.1K]3 years ago
4 0
3(41) + 3
= 123 + 3
= 126
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The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
2 years ago
An object is dropped from a height of 400 feet. The amount of time, in seconds, the object takes to hit the ground can be found
lidiya [134]

-16t^2+400=0

16t^2=400

take square root on both sides.

\sqrt{16t^2} =\sqrt{400}

4t=20

t=20/4

t=5

6 0
3 years ago
A group of friends goes out to lunch. The total bill, excluding tax, is $22. If tax on the meal is 6% and if a 20% tip is left o
TiliK225 [7]

Answer:

27.72

Step-by-step explanation:

Sorry about before i made a slight mistake

5 0
1 year ago
Pls helpp
irina1246 [14]
  • you will need 2 busses to only transport the boys.
  • Mark is at (1 + 5/6) miles of his house.
<h3>How many buses would it take to carry only the boys?</h3>

We know that there are (3 + 1/2) groups, such that each group fill one bus.

2/5 of the students are boys, then the number of groups that we can make only with boys is:

(2/5)*(3 + 1/2) = 6/5 + 1/5 = 7/5 = 5/5 + 2/5 = 1 + 2/5

Then you can make one and a little less than a half of a group, which means that you need 1 and 2/5 of a buss to transport the boys, rounding that to the a whole number, you will need 2 busses to only transport the boys.

<h3>How far is Mark from his house?</h3>

The original distance is:

D = (2 + 3/4) miles.

But Mark only covers 2/3 of that distance, then we have:

d = (2/3)*D = (2/3)*(2 + 3/4) miles = (4/3 + 2/4) miles

d = (4/3 + 1/2) miles = (8/6 + 3/6) miles = (1 + 5/6) miles

Mark is at (1 + 5/6) miles of his house.

If you want to learn more about mixed numbers:

brainly.com/question/21610929

#SPJ1

7 0
1 year ago
You decide to borrow $500 to go on a trip. You go to the bank and borrow the money at 11% for 2 years. Find the interest you wil
Tcecarenko [31]
$500_100%
X$___11%

11 x 500
————— = 55 $
100
4 0
2 years ago
Read 2 more answers
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