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Anastaziya [24]
2 years ago
5

The number of goals scored by a soccer team varies directly as the number of shots on goal. If the Lakeside Bears scored 4 goals

after 48 shots on goal, how many more shots on goal should the team take to score 3 more goals?
Mathematics
1 answer:
enot [183]2 years ago
6 0

Since it varies directly, divide the number of shots by the number of goals:

48 shots / 4 goals = 12

This tells you they score a goal every 12 shots.

Multiply shots needed by number of goals:

12 x 3 = 36

They need 36 more shots to score 3 more goals.

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As part of quality-control program, 3 light bulbs from each bath of 100 are tested. In how many ways can this test batch be chos
hichkok12 [17]

Answer:

<h3>By 161700 ways this test batch can be chosen.</h3>

Step-by-step explanation:

We are given that total number of bulbs are = 100.

Number of bulbs are tested = 3.

Please note, when order it not important, we apply combination.

Choosing 3 bulbs out of 100 don't need any specific order.

Therefore, applying combination formula for choosing 3 bulbs out of 100 bulbs.

^nCr = \frac{n!}{(n-r)!r!} read as r out of n.

Plugging n=100 and r=3 in above formula, we get

^100C3 = \frac{100!}{(100-3)!3!}

Expanding 100! upto 97!, we get

=\frac{100\times 99\times 98\times 97!}{97!3!}

Crossing out common 97! from top and bottom, we get

=\frac{100\times 99\times 98}{3!}

Expanding 3!, we get

=\frac{100\times 99\times 98}{3\times 2\times 1}

= 100 × 33  × 49

= 161700 ways.

<h3>Therefore,  by 161700 ways this test batch can be chosen.</h3>
3 0
3 years ago
Please Help!
vovikov84 [41]

Answer:

8

Step-by-step explanation:

We can use triangle inequality, let AC = x:

x+4 > 5

x+5 > 4

9 > x

Simplifying:

x>1

x>-1

9>x

Thus: 9>x>1

So the Largest whole number is 8

3 0
3 years ago
Two lines intersect in more than one point<br><br> always<br> sometimes<br> never
GuDViN [60]
The answer is never, that is, on a 2 dimensional plane. You can perform an experiment to see why it is the case. On curved surfaces though, two lines can intersect one another more than once. For instance, on the surface of planet Earth, two lines can intersect one another, both at the Earth's North Pole and South Pole.
5 0
3 years ago
•Mr. Jones and Mr. Thomas
mamaluj [8]

The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.

<h3>Proportion</h3>

  • Mr Jones capital = $12600
  • Mr Thomas capital =$19200
  • Mr forson capital = $16200

Total capital = $12600 + $19200 + $16200

= $48,000

Mr Jones proportion = $12600 / $48,000

= 21/80

Mr Thomas proportion = $19200 / $48,000

= 32/80

Mr forson proportion = $16200 / $48000

= 27/80

Learn more about proportion:

brainly.com/question/1781657

$SPJ1

8 0
1 year ago
PLLEASE ANSWER THIS FOR ME
stiv31 [10]

Answer:

<h2>120 square meters</h2>

Step-by-step explanation:

To find the SA of 2 Triangles, we will use the formula... B x H, and the Base and Height is going to be the dimensions of just 1 triangle, but it's going to give the answer for 2 triangles, in this shape, we have 2 triangles.

SA = B x H

= 6 x 4

= 24

24 square meters for both of the triangles

Now, let's find the SA of the rectangle on the bottom...

SA = L x W

= 6 x 6

= 36

36 square meters for 1 of the 3 rectangular parts, the one on the bottom

Now, lets find the SA of the 2 rectangles on the top. We'll use the dimensions of 1 rectangle and find the answer for 2 answers by using the formula...

SA = L x W x 2

= 6 x 5 x 2

= 30 x 2

= 60

60 square meters for the 2 rectangles on the top.

Now, we have to add all of our answers.

24 + 36 + 60 = 120 square meters

<h2>Hence, the SA (surface area) of this shape is 120 square meters.</h2>

~Brainly Master - Helping Students~

4 0
2 years ago
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