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3 years ago

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Ocsar and his little brother made up a game using coins. They flip the coin towards a cup and receive points for every one that

makes it in. Oscar starts with 20 points, and his little brother starts with 18 points. Oscar gets 2 points for every successful shot, and his brother, since he is younger, gets 3 points for each successful shot. Eventually, the brother will have a tied score in the game. How many additional shots will each brother have made? How many points will they both have?

1 answer:

Airida [17]3 years ago

8 0

<em>they </em><em>both </em><em>would </em><em>have </em><em>2</em><em>4</em>

<em> </em><em>they </em><em>both </em><em>would </em><em>have </em><em>2</em><em> </em><em>successful</em><em> </em><em>shots.</em><em> </em><em>they </em><em>would </em><em>mean </em><em>that </em><em>the </em><em>older </em><em>brother</em><em> </em><em>added </em><em>4</em><em> </em><em>point </em><em>to </em><em>his </em><em>score </em><em>and </em><em>the </em><em>younger </em><em>brother</em><em> </em><em>would </em><em>have </em><em>added </em><em>6</em><em> </em><em>to </em><em>his </em><em>score</em>

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Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip t

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Answer:

The original speed of the grey wolf can be 9 and/or 48 km/hour

Step-by-step explanation:

There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).

First trip: KC - MAG

It takes the same distance as MAG - KC so distance can be D for both.

Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.

Let x be speed.

So the equation for this is:

D=5x

Second trip: MAG - KC

Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).

For Time:

He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.

The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.

Let T#1 = a, and T#2 = b.

Let D#2 = D-36

The equation for a:

a = 36/x --> This is he is at a constant speed and went for 36mi.

Next:

The equation for b:

b = (x+3)/D#2

These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.

So the equation is:

36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).

Now Solve:

36/x + (5x-36)/x+3 = 4.75

0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)

0.25s^2 - 14.25s + 108 = 0

(14.25 +- Square root (203.06 - 108))/0.5

(14.25 +- Square root (95.0625))/0.5

(14.25 +- 9.75)/0.5

Answer:

s = 9, s=48.

Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.

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3 years ago

A pool measuring 10 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the po

igomit [66]

Based on the measurements of the pool and the path of uniform width, the area of the width and length of the path can be found to be 28.8 meters.

<h3>How to find the width and length?</h3>

First, find the area of the pool:

= Length x Width

= 10 x 26

= 260 meters ²

The area of the path can therefore be found to be:

= Total area of pool and path combined - Area of pool

= 1,092 - 260

= 832 meters²

Seeing as the path has uniform width, that means that the width is the same and the length so the width and length of the pool is:
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= √832

= 28.8

In conclusion, the width and length of the path are 28.8 meters.

Find out more on combined area at brainly.com/question/12966430

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1 year ago

What is the capacity of the cube in milliliters?

Klio2033 [76]

= (5 * 5 * 5) cm³ ;

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(sorry if it’s wrong:(

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3 years ago

Read 2 more answers

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skad [1K]

Answer:

Ignore the A before the ±, it wouldn't let me type it correctly.

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Step-by-step explanation:

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x · 3x = - 4x + 1

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Ignore the A before the ±, it wouldn't let me type it correctly.

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a = 3

b = 4

c = - 1

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$x=\frac{-4±\sqrt{16-4((3)(-1)) } }{2(3)}$

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Two separate equations

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3 years ago

there is a 20% discount with a set of tires in normally sells for $368. How much will be tires cost after the discount?

ICE Princess25 [194]

Same as before, if we take 368 to be the 100%, how much is 20% off that?

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3 years ago