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patriot [66]
3 years ago
11

A ship left the port and sailed 40 kilometers south, then 36 kilometers north. What integer represents where the ship is located

in reference to zero (the port)?
Mathematics
2 answers:
nekit [7.7K]3 years ago
8 0
4 because if the ship went 40 kilometers south, then 36 north, it would be traveling back to its starting point, so tok would subtract 36 from 40 and get 4. Hope this helped!!
Usimov [2.4K]3 years ago
6 0

Answer:

It would be at -4 or (coordinates: 0, -4)

Step-by-step explanation:

0 - 40 = -40

-40 + 36 = -4

so -4

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The same player is going to play the game 200 times consecutively. How many black balls should he expect to pick
DerKrebs [107]

Answer:

200

Step-by-step explanation:

It is given that the same player is going to play a game one after another continuously about 200 times. During the game the player is going to pick up  black color balls.

If the player picks at least one black color ball at one time of the game, therefore, the probability of the number of black balls that the player is going to pick is 200 balls.

8 0
3 years ago
Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.
Jet001 [13]

Answer:

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ;  x = \frac{2-(3)\sqrt{2}}{2}

Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

Now,

for the above relation to be true the  following condition must be followed:

Either  (x² − 6x +3) = 0 ............(1)

or

(2x² − 4x − 7) = 0 ..........(2)

now considering the equation (1)

(x² − 6x +3) = 0

the roots can be found out as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

for the equation ax² + bx + c = 0

thus,

the roots are

x = \frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times(3)}}{2\times(1)}

or

x = \frac{6\pm\sqrt{36-12}}{2}

or

x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

or

x = \frac{6+2\sqrt{6}}{2} and, x = x = \frac{6-2\sqrt{6}}{2}

or

x = 3 + √6 and x = 3 - √6

similarly for (2x² − 4x − 7) = 0.

we have

the roots are

x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}

or

x = \frac{4\pm\sqrt{16+56}}{4}

or

x = \frac{4+\sqrt{72}}{4} and, x = x = \frac{4-\sqrt{72}}{4}

or

x = \frac{4+\sqrt{2^2\times3^2\times2}}{2} and, x = x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}

or

x = \frac{4+(2\times3)\sqrt{2}}{2} and, x = x = \frac{4-(2\times3)\sqrt{2}}{4}

or

x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

7 0
3 years ago
A pack of 24 cans costs £6. Work out the cost of 5 cans.
VARVARA [1.3K]
<span>24 cans costs £6

6/24 = 0.25 each can

5 * 0.25 = </span><span>£1.25

answer: </span>£1.25 for <span>5 cans</span>
6 0
3 years ago
Read 2 more answers
Given the points (5, 5) and (3, 7), write a linear equation that contains both in slope-intercept form.
zlopas [31]
First find slope
(7-5)/(3-5) = 2/-2 = -1
Slope intercept: y = mx + b
Y = -1x + b, plug in point
5 = -1(5) + b, b = 10
Equation: y = -1x + 10
5 0
3 years ago
Read 2 more answers
You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box. The base of the box measures 10 inches
mr Goodwill [35]

Answer:

2826  inches^2

Step-by-step explanation:

The general formula for the total surface area of a regular pyramid is

T.S.A.=12pl+B

Where p represents the perimeter of the base, l the slant height and B the area of the base.

The perimeter of the base is.  

p=2L+2W

P=2*10+2*9

P=20+18

P= 38  inches

The area of the base is.

B=10*9

B=90in^2

T.S.A.=12(38)(6)+90              

T.S.A=2736+90

T.S.A=2826  inches^2

Hence the paper needed is 2826  inches^2

3 0
3 years ago
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