In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a loss. In a particular season, a team played 34 games and lost 6 games. If the team had a total of 70 points at the end of the season, what is the difference between games won and games lost?

Answers

Answer 1

Answer:

The difference between games won and games lost is 15.

Step-by-step explanation:

Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:

[tex]win + draws = 28[/tex]

Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:

[tex]3*win + draws = 70\\[/tex]

We now have a system of equations, which we can solve.

[tex]win + draws = 28\\3*win + draws = 70\\[/tex]

Multiplying the first equation by -1:

[tex]-win- draws = -28\\3*win + draws = 70[/tex]

Adding both equations:

[tex]2*win = 42\\win = 21[/tex]

Since the team won 21 games and lost 6, the difference is 15.


Related Questions

what is 5k+(-2k)-(-1)​

Answers

Answer:

Brainliest goes to me!

Step-by-step explanation:

5k-2k+1

3k+1

I need help pleaseeee

Answers

Answer:

8.4375

Step-by-step explanation:

multiply 2.5 times 2.25 times 1.5

lenght x width x height

What are the solutions to the equation? 4x=32-x^2

Answers

Answer:

-8 and 4

Step-by-step explanation:

4x=32-x^2x^2 +4x - 32=0x^2+4x+4 - 36=0(x+2)^2- 6^2=0(x+2+6)(x+2-6)=0x+8=0  ⇒ x= -8x-4=0 ⇒ x=4

4x = 32 -x^2

Subtract 4x from both sides and rearrange the equation:

-x^2 -4x +32 = 0

Use the quadratic equation x = -b +\ - sqrt(b^2-4ac)/ 2a

From the rewritten equation: a=-1, b = -4 and c = 32

Solving for x you get x = -8 and x = 4

The solutions are -8 and 4

Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue to make fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?
A.
fluid ounce
B.
fluid ounce
C.
fluid ounce
D.
fluid ounces

Answers

1.5 fluid ounce isn’t it

Answer: the correct answer will be 27/31

Step-by-step explanation:

what is a slope of the line? ​

Answers

Answer

0

Step-by-step explanation:

A horizontal line  has a slope of 0 always

Cancel mom please help me with this I’m stuck and I don’t know how to do this

Answers

Answer:

20

Step-by-step explanation:

The triangles are similar so we can use ratios

8       32

---   = -----

8+5    32+x

Using cross products

8(32+x) = 32(13)

Divide each side by 8

(32+x) = 32(13)/8

32+x = 4*13

32+x =52

Subtract 32

x = 20

Please help me will mark brainliest

Answers

Answer:

-10

Step-by-step explanation:

perform the indicated operation 5/11 + 9/11​

Answers

Answer:

It would be 14/11

when you make it a mixed number, it'll be 1 3/11

Step-by-step explanation:

You can't simplify it more than 3/11 so

1 3/11

what is the solution to the system of equation below Y equals -1/3 X +6 and X equals -6

Answers

Answer:

y = 8

Step-by-step explanation:

y= [tex]\frac{1}{3} x[/tex] + 6

[tex]x[/tex] = -6

y=([tex]\frac{1}{3}[/tex] x 6) + 6

y= 2+6 = 8

The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of aaa is 0, but b is not zero. Where could point P be located on the coordinate plane?

Answers

Answer:

On the y-axis line

Step-by-step explanation:

Given the location (a,b) of the point P on the coordinated plane.

If a=0

Then the location of P on the x-axis is at x=0

Since b is not equal to zero, b could be positive or negative.

Therefore, the point P could be located on the positive y-axis or the negative y-axis,

It must be exactly on the line.

Liam and his children went into a movie theater and will buy bags of popcorn
and pretzels. He must buy at least 8 bags of popcorn and pretzels altogether.
Write an inequality that would represent the possible values for the number
of bags of popcorn purchased, b, and the number of pretzels purchased, p.

Answers

Answer:

At least can be denoted by the inequality operator ≥. We need to find the sum of popcorn and pretzels which can be written as b + p so the answer is:

b + p ≥ 8.

(14)+(-11) plz help idk what it is

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(14)+(-11)=3

38. A painting without its frame has

a width 2.5 times its height, h,

in inches. Its frame is 3 in. wide

all along its perimeter. What is

an expression for the area of the

framed painting in terms of h?

Simplify your expression, and write

it in standard form.

Answers

Answer:

1.5*w^2 + 15*w + 36

Step-by-step explanation:

We have to make the width of the portrait be 'w'

 in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w

Frame width is 3 inches on all sides.

Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.

I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.

From the figure, we have to:

AB = 3 + w + 3 = w + 6

BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6

We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,

Area = (w + 6) * (1.5 * w + 6)

Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36

Area = 1.5*w^2 + 15*w + 36

That is, the expression for the framed portrait area in terms of the width 'w' is:

1.5*w^2 + 15*w + 36

Given g(x)=-5x-4, solve for x when g (x)=1

Answers

Answer:

1 = -5x-4  add 4 to both sides

-5x = 1+4 divide both sides by (-5)

x = -5/5

x= -1

f(n) = 9+ 5n; 64

determine which term produces the given answer?​

Answers

Answer:

the 11th term

Step-by-step explanation:

f(n) = 9+ 5n;

Let f(n) =64

64 = 9+5n

Subtract 9 from each side

64-9 = 9+5n-9

55 = 5n

Divide each side by 5

55/5 = 5n/5

11= n

Which numbers are the extreme of the proportion shown below?

Answers

Answer:

4,35

Step-by-step explanation:

4/7 = 20/35

Converting it into ratio form

4:7 = 20:35

The Extremes of this proportion are 4,35

While, the means of this proportion are 7, 20

What is the simplified form of this expression?

Answers

Answer:

B. -7[tex]x^{2}[/tex] + 3x + 5

Step-by-step explanation:

(-3[tex]x^{2}[/tex] + x + 5) - (4[tex]x^{2}[/tex] - 2x)

-3[tex]x^{2}[/tex] + x + 5 - 4[tex]x^{2}[/tex] - 2x

Combine like terms

-3[tex]x^{2}[/tex] - 4[tex]x^{2}[/tex] = -7[tex]x^{2}[/tex]

x - -2x = x + 2x = 3x

5

-7[tex]x^{2}[/tex] + 3x + 5

I hope this helps :))

What is the probability of getting tails when you flip a coin?

Answers

Answer: We conclude that the probability to flip a head is 1/2, and the probability to flip a tail is 1/2.

Which situation is best modeled with a division expression?

finding the number of equal-sized parts into which a number can be split
finding the combined value of several different numbers
finding the distance between two numbers on a number line
finding the total value when several of the same number are grouped together

Answers

Answer: Finding the number of equal-sized parts into which a number can be split

Step-by-step explanation:

Hi, a division expression is the division of 2 numbers that results in a quotient.

The quotient is the number of times that the second number in the division is contained in the first number.

For example 20 ÷ 2 = 10

Number 2 is contained 10 times in the number 10, or in other words, 20 can be split into ten equal-sized parts.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

A

Step-by-step explanation:

for edge

which phrase represents the algebraic expression 3p + 6

Answers

Answer:9p

Step-by-step explanation:

the sum of ages of Ali and Adam is 45 years. if Ali is 5 years younger than Adam what is their ages​

Answers

Answer:

Ali is 20

Adam is 25

Step-by-step explanation:

Please help me asap!

Answers

Answer:

x value is 10 as per as the question its value is 10

PLS HELP ILL MARK YOU BRAINLIEST 45 POINT Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form? Part B: Explain the closure property as it relates to addition of polynomials. Give an example.

Answers

Answer:

A fourth degree polynomial:

[tex]2x^{4} + 10x^{3} + 21[/tex]

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example

(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18

This demonstrates closure because 11x^2 + 18 is also a polynomial

Step-by-step explanation:

Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form

Part B: Closure property has been proved in the addition of polynomials

What is Polynomial?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Part A

Example of fourth degree polynomial with three terms is

[tex]x^{4}+2x+20[/tex]

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on

Hence, it is a standard form

Part B

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial

Example

(2x+6)+(5x+2)= 7x+8

Hence, the Closure property has been proved in the addition of polynomial

Learn more about Polynomial here

https://brainly.com/question/11536910

#SPJ2

The base of an isosceles triangle is one and a half times the length of the other two sides. A smaller triangle has a perimeter that is half the perimeter of the first. Write an expression for the perimeter of the smaller triangle and combine like terms. What is the simplified expression?

0.75s
2.5s
1.75s
5s

Answers

Step-by-step explanation:

Isosceles means that two sides are equal.

if the base is 1½s the other two sides will be ½s and½s

thus perimeter=1½+½+½ =2½s

smaller triangle:

perimeter=½(1½s+½s+½s)

=½(2½s)

=1¼s convert to decimal

=1.75s

The simplified expression of the given situation is 1.75s.

The correct option is C.

What is an isosceles triangle?

A triangle that has two equal lengths of sides and two equal measures of angles is called an isosceles triangle.

Given:

The base of an isosceles triangle is one and a half times the length of the other two sides.

Let s represents the side of the triangle.

The base = ([tex]1\frac{1}{2}[/tex])s = 3s/2

So, the other two sides are s and s.

So, the perimeter,

= 3s/2 + s/+ s

= 7s/2

A smaller triangle has a perimeter that is half the perimeter of the first.

That means,

the perimeter of the smaller triangle,

= 1/2(7s/2)

= 7s/4

= (1.75)s

Therefore, (1.75)s is the required expression.

To learn more about the isosceles triangle;

https://brainly.com/question/2456591.

#SPJ3

Please help! It’s an easy multiple choice question. Question in the photo.

Answers

Answer:

Step-by-step explanation:

Just so you know, the answer is NOT B, as one person stated.

In order for a right triangle to be a right triangle, 2 things have to happen.  One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.

Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17.  Using Pythagorean's Theorem to test:

[tex]8^2+15^2=17^2[/tex] and

64 + 225 = 289 and

289 = 289.  So a is a right triangle. Now for b:

[tex]20^2+21^2=29^2[/tex] and

400 + 441 = 841 and

841 = 841. So b is also a right triangle. Now for c:

[tex]9^2+16^2=18^2[/tex] and

81 + 256 = 324 and

337 = 324.  Obviously, 337 does not equal 324, so c is not a right triangle.

.  Obviously, 337 does not equal 324, so c is not a right triangle.

The function has a y-intercept of (0, 4) and a multiplier of 0.8. 1) Whats the initial value? 2) Is it exponential growth or decay? 3) What is the exponential equation?

Answers

Answer:

1) 4

2) exponential decay

3) [tex]y = 4(0.8)^x[/tex]

Step-by-step explanation:

1) The initial value or an exponential function is the y-intercept.

Let us consider a standard exponential function of the form y(x) = a•bˣ , if you put in x = 0 (initial value) we get:

y(0) = a•bˣ = a•b⁰ = a•1 = a , so the y-intercept is a , which is called the initial value.

Therefore the y intercept is 4

2) Since the multiplier is greater than 0 and less than one, it is an exponential decay

3) standard exponential function of the form y(x) = a•bˣ, at (0,4),

4 = a(b)⁰

a = 4

b = multiplier = 0.8

Therefore: [tex]y = 4(0.8)^x[/tex]

(02.03)At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of dog food? (Input only whole numbers.)

Answers

Answer: 20 dogs





Explanation: The quickest way is to make a fraction of 26/40. 26 divided by 2 is 13 and 40 divided by 2 is 20.



The best way is to set up a proportion: 26 lbs/40 dogs=13 lbs/x dogs.

Cross multiplying (26*x and 13*40) leaves us with 520=26x.

When we divide both sides by 26, we find that 20 dogs is the answer.

A certain brand of candy is sold by weight, with a 3 oz bag costing $0.75. if a bag of this candy costs $2.00, what does it weight

Answers

Answer:It weights  8 oz.

Step-by-step explanation:

[tex]\frac{3}{0.75} = \frac{x}{2}[/tex]    solve by cross product

0.75x = 6  now divide both sides by 0.75  

x=  8

How many observations are accounted for in the stem and leaf graph?

A) 5
B) 7
C) 18
D) 19

Answers

Answer:

C) 18

Step-by-step explanation:

numbers are 100,101,90,93,94,94,95,81,86,87,89,70,72,76,69,56,58,49

The double number lines show the ratio of minutes to days. How many minutes are in 2 days

Answers

Answer:

2880 minutes are in two days

2880 is the answer because you get the minutes of one day and multiple by 2
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