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2 years ago

Hey -

Mathematics

2 answers:

Katen [24]2 years ago

8 0

Answer:

4-3=1

8+9=17

7 x 2= 14

Step-by-step explanation:

kompoz [17]2 years ago

5 0

Answer:

Step-by-step explanation:

4 + -3 = 1

8 - -9=17

14/2=7

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8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an

ololo11 [35]

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

We are given with a word problem
We are asked to find the number of unicorns played during the season
We can do this in two steps

Step 1: Finding the win percentage

Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$

5 0

2 years ago

Brad has two lengths of copper pipe to fit together one has a length of 2 5/12 feet and the other has a length of 3 7 12 ft how

leva [86]

To find the total length of the two copper pipes, we need to add them together.

2 5/12 + 3 7/12 = 5 12/12

Since 12/12 = 1 or a whole, we can simplify this further.

5 12/12 = 6

Hope this helps!

4 0

3 years ago

Help me please and thank you

fiasKO [112]

Since the triangles are the same, just flipped that means that all angles and segments are the same as well

I'm not sure if that's the "correct" way to prove it but that's why they're equal

5 0

2 years ago

Read 2 more answers

A 24-centimeter by 119-centimeter piece of cardboard is used to make an open-top box by removing a square from each corner of th

satela [25.4K]

Answer:

The size square removed from each corner = 32.15 cm²

Step-by-step explanation:

The volume of the box = Length * Breadth * Height

Let r be the size removed from each corner

Note that at maximum volume, $\frac{dV}{dr} = 0$

The original length of the cardboard is 119 cm, if you remove a size of r (This typically will be the height of the box) from the corner, since there are two corners corresponding to the length of the box, the length of the box will be:

Length, L = 119 - 2r

Similarly for the breadth, B = 24 - 2r

And the height as stated earlier, H = r

Volume, V = L*B*H

V = (119-2r)(24-2r)r

V = r(2856 - 238r - 48r + 4r²)

V = 4r³ - 286r² + 2856r

At maximum volume dV/dr = 0

dV/dr = 12r² - 572r + 2856

12r² - 572r + 2856 = 0

By solving the quadratic equation above for the value of r:

r = 5.67 or 42

r cannot be 42 because the size removed from the corner of the cardboard cannot be more than the width of the cardboard.

Note that the area of a square is r²

Therefore, the size square removed from each corner = 5.67² = 32.15 cm²

5 0

3 years ago

Please help me with these questions and please show the work or something... and yep, 30 points so you better answer with an exp

Aleks04 [339]

Part 1:

You have the correct answer. You multiply the probability of getting red (6/15) by the probailitiy of getting red (6/15) to get 36/225 which reduces to 4/25

--------------------------------

Part 2:

This is also correct. Nice work. You multiply the probability of getting black (9/15) with the probability of getting red (6/15) to get 54/225 = 6/25

--------------------------------

Part 3:

The probability of picking a black checker is 9/15. If a replacement is made, then the probability of picking another black checker is also 9/15. So,

(9/15)*(9/15) = 81/225 = 9/25

Answer: 9/25

--------------------------------

Part 4:

The probability of rolling a 6 is 1/6. The probability of rolling a 3 is 1/6 as well. This is because there is only one side with this label out of 6 total. Multiply the probabilities

(1/6)*(1/6) = 1/36

Answer: 1/36

--------------------------------

Part 5:

It is impossible to roll a 7 on the six sided cube because the highest number is 6. Therefore the overall probability is 0

Answer: 0

--------------------------------

Part 6:

There are 3 outcomes we want (rolling a 1,2, or 3) out of 6 total. So the probability of rolling a 1,2 or 3 is 3/6 = 1/2. Similarly, the probability of rolling a 4, 5 or 6 is 3/6 = 1/2 as well.

Multiplying the probabilities gives

(1/2)*(1/2) = 1/4

Answer: 1/4

6 0

3 years ago