A team gets3 points for each match it wins
1 point for each match it draws
and 0 points for each match it loses
Jill's team has played 40 matches.
Jill's team has drawn 16 matches.
Jill's team has got a total of 55 points.
How many matches has Jill's team lost?
A team gets 3 points for each match it wins - 1

Answers

Answer 1
Answer:

Answer:

Jill's team lost 11 matches.

Step-by-step explanation:

Jill's team drawn matches = 16

Points earned for the matches drawn = 16

Total points earned = 55

Therefore, points earned by winning the matches = 55 - 16 = 39

Total matches won by Jill's team = \frac{\text{Points earned by winning the matches}}{\text{Points earned by winning one match}}

                                                       = (39)/(3)

                                                       = 13

Total matches won + matches drawn = 16 + 13 = 29

Matches lost by the team = 40 - 29 = 11

Therefore, Jill's team lost 11 matches.

Answer 2
Answer:

Final answer:

Jill's team has lost 11 matches. This was calculated by subtracting the matches drawn and matches won from the total matches played.

Explanation:

To answer this mathematics question, we first need to know how many points Jill's team has earned from the matches they've drawn. Since each draw earns 1 point and Jill's team has drawn 16 matches, they've earned 16 points from draws. They have a total of 55 points, and if we subtract the 16 from draws, that leaves us 39 points earned from wins. Since a win is worth 3 points, we can calculate the number of matches won by dividing 39 by 3, giving us 13 matches won. As the team has played a total of 40 matches (16 drawn + 13 won), the team has lost the remainder. So, subtract the 29 matches won or drawn from the total 40 to get 11. Therefore, Jill's team has lost 11 matches.

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Maha has two colors of modeling clay. She has 1.05 ounces of blue modeling clay and 1.3 ounces of red modeling clay. Which color of modeling clay dose Maha have more of?

Answers

Answer:

Maha has of red clay

Step-by-step explanation:

Here we want to know the color of modeling clay that Maha has more of

Since 1.3 is greater than 1.05; This mens;

the small has will be;

1.3 ounces of raw

Which list of ordered pairs represents solutions to x + y = 2 ? (-4, 6), (0, 2), (4, 2) (-4, -6), (0, 2), (4, 2) (-4, 6), (0, 2), (4, -2)

Answers

The coordinates simply have to be plugged into the equation and determine whether the result is 2.
-4 + 6 =  2
0 + 2 = 2
4 + 2 =  6
-4 + -6 = -10 
0 + 2 =  2
4 + 2 = 6
-4 + 6 = 2
0 + 2 = 2
4 + -2 = 2

The solutions (without repeating pairs) are:
(-4, 6), (0, 2), (4, -2)

Answer:

C: (-4, 6), (0, 2), (4, -2)

Step-by-step explanation:

How many grams are in 40 hectograms?

Answers

In this case, 40 hectograms is equal to 4000 grams.

To convert hectograms to grams, we need to know that 1 hectogram (hg) is equal to 100 grams (g).

Now, let's calculate the number of grams in 40 hectograms:

1 hectogram = 100 grams

Therefore, 40 hectograms will be:

40 hectograms = 40 * 100 grams

40 hectograms = 4000 grams

So, there are 4000 grams in 40 hectograms.

In summary, to convert hectograms to grams, we use the conversion factor of 1 hectogram = 100 grams. By multiplying the number of hectograms by 100, we get the equivalent weight in grams. In this case, 40 hectograms is equal to 4000 grams. This conversion is based on the metric system, where prefixes like hecto- and kilo- represent multiples of 100 and 1000, respectively, making it easy to convert between different units of weight.

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Something i use to convert metric units is: King Henry Died By Drinking Chocolate Milk. This is an acronym for:
K: Kilos
H: Hecto
D: Deka
B: Base (liters or grams etc.)
D: Deci
C: Centi
M: Milli

Now, since you are going from hectograms (hecto) to grams (base) you will move the decimal to the right 2 times (since base is 2 bellow hecto) So that means: There are 4,000 grams in 40 hectograms.





Add and simplify 9/16 + 1/2 =

Answers

\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}

Further explanation

We will work on adding two fractions correctly with different denominators. The two denominators must be equated first.

In order to add these fractions, we need finding the common denominator by multiplying both denominators together.

\boxed{(9)/(16) + (1)/(2) = \ ?}

Both denominators, 16 and 2, are multiplied by one another. What about numerators? Pay attention to the treatment of each fraction.

\boxed{= \big( (9)/(16) * (2)/(2) \big) + \big( (1)/(2) * (16)/(16) \big)}

\boxed{= (18)/(32) + (16)/(32)}

\boxed{= (34)/(32)}

Let's take a break here to think.

Alternatively, develop a sharper method as below.

\boxed{= ((9 * 2) + (16 * 1))/(16 * 2)}

Note how this is performed. Absolutely indeed, cross-multiplication!

\boxed{= (18 + 16)/(32)}

\boxed{= (34)/(32)}

The numerator and denominator are divided by two to make it a simple fraction. After that, we simplify again into mixed fractions.

\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}

Gently let's take a break once more to think strategically.

Observing the steps above, we still find a large number when there is a direct multiplication of the two denominators. Are there more highly recommended steps? Of course there is!

\boxed{(9)/(16) + (1)/(2) = \ ?}

The denominators 2 and 16 have LCM = 16. So, we convert the given fractions into equivalent fractions with denominator 16.

\boxed{= \big( (9)/(16) * (1)/(1) \big) + \big( (1)/(2) * (8)/(8) \big)}

\boxed{= (9)/(16) + (8)/(16)}

\boxed{= (17)/(16)}

Do not forget simplifying again into mixed fractions.

\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}

Note:

In the form of fractions, the steps that must be considered are

  • equate the denominator,
  • simplify fractions, and
  • for the final answer, convert fractions to mixed fractions or decimal forms

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Keywords: add and simplify 9/16 + 1/2 =, solve, 2/7m - 1/7 = 3/14, operations, multiply, divide, fraction, equate, common denominator, numerator, both, LCM, alternative, different, method, way, steps, simple, mixed, convert, equivalent, cross-multiplication

What is the justification for each step in the solution of the equation 2/3x-1/3=2(x+2)

Answers

Answer:

-13/4

Step-by-step explanation:

Find the area of the polygon with the given vertices A (-6,1), B (4,1), C (4,-8), D (-6,-8)

Answers

Answer:

90

Step-by-step explanation: