All categories

3 years ago

Can somebody plz help answer these three word questions correctly thanks a lot >33

Mathematics

1 answer:

miss Akunina [59]3 years ago

6 0

Answer:

a) The percent of their games the hockey team won is 60%

b) The percent of their games the hockey team lost is 37% to the nearest percent

c) The percent of their games the hockey team tied is 3% to the nearest percent

Step-by-step explanation:

In any game, there are 3 situations

Win
Tie
Lose

The sum of the three situations is the total number of playing that game

∵ The hockey team won 72 out of 120 games and tied 4

∴ The number of winning games = 72

∴ The number of tying games = 4

∴ The number of total games = 120

→ Find the number of losing games

∵ Win + ty + lose = total games

∴ 72 + 4 + lose = 120

∴ 76 + lose = 120

→ Subtract 76 from both sides

∴ lose = 44

∴ The number of losing games = 44

Now let answer the questions

∵ P%(win) = (winning ÷ total) × 100%

∴ P%(win) = (72 ÷ 120) × 100%

∴ P%(win) = 60%

The percent of their games the hockey team won is 60%

∵ P%(lose) = (losing ÷ total) × 100%

∴ P%(lose) = (44 ÷ 120) × 100%

∴ P%(lose) = 36.66667% = 37% to the nearest percent

The percent of their games the hockey team lost is 37% to the nearest percent

∵ P%(tie) = (tying ÷ total) × 100%

∴ P%(tie) = (4 ÷ 120) × 100%

∴ P%(tie) = 3.333333% = 3% to the nearest percent

The percent of their games the hockey team tied is 3% to the nearest percent

You might be interested in

How many solutions does the system formed by x - y = 3 and ay + 3a = 0 have for a non zero number a? Explain and show how you ge

dlinn [17]

Solve both equations for y:
$x-y=3 \ \ \ |-x \\
-y=-x+3 \ \ \ |\times (-1) \\
y=x-3 \\ \\
ay+3a=0 \ \ \ |-3a \\
ay=-3a \ \ \ |\div a, a \not= 0 \\
y=-3$

Set the expressions equal to each other:
$y=y \\ x-3=-3 \ \ \ |+3 \\
x=0 \\ \\
(x,y)=(0,-3)$

So, for every nonzero number a the system of equations has one solution.

4 0

3 years ago

Using Slopes of Parallel Lines Quick Check

Semenov [28]

Answer:

The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC

Step-by-step explanation:

There is an important fact about the parallel lines:

Parallel lines have equal slopes

The rule of the slope of a line is:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

Let us use the fact and the rule to solve the question

∵ ABCD is a quadrilateral

∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)

∵ The opposite sides are AB, CD and AD, BC

Find the slopes of the four sides to check the parallel sides

∵ $m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2$

∵ $m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2$

∵ The slope of AB = The slope of CD

∴ AB // CD

∵ $m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0$

∵ $m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0$

∵ The slope of AB = The slope of CD

∴ AD // BC

The correct answer is:

Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)

5 0

3 years ago

Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?

inessss [21]

Answer:

$21.15

Step-by-step explanation:

6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90

15/5 = 3 then 3 x 4.75= 14.25

14.25 + 6.90 = 21.15

Hope this helped <3

6 0

3 years ago

Read 2 more answers

(3x-4)/(14)=(9)/(10) Solve the proportion. Round to the tenths

____ [38]

The value of "x" is 5.5

Solution:

Given that we have to solve the proportion

$\frac{3x - 4}{14} = \frac{9}{10}$

We can solve the above given proportion for "x" by cross multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable "x"

$\rightarrow \frac{3x - 4}{14} = \frac{9}{10}\\\\\rightarrow 10(3x - 4) = 14 \times 9\\\\\rightarrow 30x - 40 = 126\\\\\rightarrow 30x = 126 + 40\\\\\rightarrow 30x = 166\\\\\rightarrow x = 5.533$

On rounding to nearest tenth we get 5.5

Thus value of "x" is 5.5

3 0

4 years ago

5 x 7/10= The product lies between ____ and ____.

Mkey [24]

5*7/10= 7/2 =3.5 which lies between 3 and 4.

7 0

4 years ago

Read 2 more answers