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Lapatulllka [165]
3 years ago
5

The selling price for a classic speedboat is $10,000, which is $2000 less than two times its original price. What was the origin

al price of the speedboat?
Mathematics
1 answer:
Luda [366]3 years ago
3 0
$6000 is the correct answer
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On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball traveled 79 met
Sav [38]

Answer:

0.395 kilometre

Step-by-step explanation:

Given:

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.

On his second stroke, the ball traveled 79 meters and went into the hole.

<u>Question asked:</u>

How many kilometres from the hole was Martin when he started?

<u>Solution:</u>

Let distance from Martin starting point to the hole in meters = x

On Martin's first stroke, ball traveled = \frac{4}{5} \ of \ total \ distance\ to\ the\ hole

                                                             =\frac{4}{5} \times x=\frac{4x}{5}

On his second stroke, the ball traveled and went to the hole = 79 meters

Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke

x=\frac{4x}{5} +79\\ \\ Subtracting\ both\ sides\ by \ \frac{4x}{5}\\ \\ x- \frac{4x}{5}= \frac{4x}{5}- \frac{4x}{5}+79\\ \\ \frac{5x-4x}{5} =79\\ \\ By \ cross\ multiplication\\ \\ x=79\times5\\ \\ x=395\ meters

Now, convert it into kilometre:

1000 meter = 1 km

1 meter = \frac{1}{1000}

395 meters = \frac{1}{1000}\times395=0.395\ kilometre

Thus, there are 0.395 kilometre distance from Martin starting point to the hole.

8 0
2 years ago
As an estimation we are told £3 is €4.<br> Convert £33 to euros.
Triss [41]

Answer:

44 euros

Step-by-step explanation:

if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,

3/4 = (3/4)(11/11)

so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros

6 0
2 years ago
Solve the system of equations 3x = 84 - 2y 9x = 8y - 24
Eduardwww [97]

Answer:

3x = 84 - 2y -  -  - (i) \\ 9x = 8y - 24 -  -  -  - (ii) \\ from \: (ii) \\ 3(3x) = 8y - 24 \\ but \: from \: (i) \:  \: 3x = 84 - 2y \\ hence \: put \: (i) \: in \: (ii) \\ 3(84 - 2y) = 8y - 24 \\ 252 - 6y = 8y - 24 \\ 276 = 14y \\ y =  \frac{138}{7}  \\ x =  \frac{104}{7}

8 0
2 years ago
What is the constant rate of change of (5,80) (4,64) and (6,96)
sveticcg [70]

Answer:

16

Step-by-step explanation:

The existence of the constant rate of change is given the ratio of y to x is the same. Then:

k_{1} = \frac{80}{5}

k_{1} = 16

k_{2} = \frac{64}{4}

k_{2} = 16

k_{3} = \frac{96}{6}

k_{3} = 16

In consequence, the constant rate of change is 16.

8 0
2 years ago
How to solve this kind of question?
S_A_V [24]
<span>96 degrees Looking at the diagram, you have a regular pentagon on top and a regular hexagon on the bottom. Towards the right of those figures, a side is extended to create an irregularly shaped quadrilateral. And you want to fine the value of the congruent angle to the furthermost interior angle. So let's start. Each interior angle of the pentagon has a value of 108. The supplementary angle will be 180 - 108 = 72. So one of the interior angles of the quadrilateral will be 72. From the hexagon, each interior angle is 120 degrees. So the supplementary angle will be 180-120 = 60 degrees. That's another interior angle of the quadrilateral. The 3rd interior angle of the quadrilateral will be 360-108-120 = 132 degrees. So we now have 3 of the interior angles which are 72, 60, and 132. Since all the interior angles will add up to 360, the 4th angle will be 360 - 72 - 60 - 132 = 96 degrees. And since x is the opposite (or congruent) angle to this 4th interior angle, it too has the value of 96 degrees.</span>
5 0
3 years ago
Read 2 more answers
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