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3 years ago

6

A book is 210 pages long; 140 of the pages have images on them. If Patrick opens the book to a random page, what is the probabil

ity that the page will have an image on it?

1 answer:

Flauer [41]3 years ago

7 0

Answer: as a ratio it’s 140:210 and as a simplified fraction it’s 2/3. But not simplified it’s still 140/210

Step-by-step explanation:

You might be interested in

18/40 in it's simplest form

marusya05 [52]

Answer:

9/20

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

3 0

3 years ago

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). On a coordinate plane, line A B has points (4, 1) and (n

GarryVolchara [31]

Answer:

$(-1,1),(4,-2)$

Step-by-step explanation:

Given: The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).

To find: coordinates of vertex of the right angle

Solution:

Let C be point $(x,y)$

Distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AC=\sqrt{(x-4)^2+(y-1)^2}\\BC=\sqrt{(x+1)^2+(y+2)^2}\\AB=\sqrt{(4+1)^2+(1+2)^2}=\sqrt{25+9}=\sqrt{34}$

ΔABC is a right angled triangle, suing Pythagoras theorem (square of hypotenuse is equal to sum of squares of base and perpendicular)

$34=\left [ (x-4)^2+(y-1)^2 \right ]+\left [ (x+1)^2+(y+2)^2 \right ]$

Put $(x,y)=(-1,1)$

$34=\left [ (-1-4)^2+(1-1)^2 \right ]+\left [ (-1+1)^2+(1+2)^2 \right ]\\34=25+9\\34=34$

which is true. So, $(-1,1)$ can be a vertex

Put $(x,y)=(4,-2)$

$34=\left [ (4-4)^2+(-2-1)^2 \right ]+\left [ (4+1)^2+(-2+2)^2 \right ]\\34=9+25\\34=34$

which is true. So, $(4,-2)$ can be a vertex

Put $(x,y)=(1,1)$

$34=\left [ (1-4)^2+(1-1)^2 \right ]+\left [ (1+1)^2+(1+2)^2 \right ]\\34=9+4+9\\34=22$

which is not true. So, $(1,1)$ cannot be a vertex

Put $(x,y)=(2,-2)$

$34=\left [ (2-4)^2+(-2-1)^2 \right ]+\left [ (2+1)^2+(-2+2)^2 \right ]\\34=4+9+9\\34=22$

which is not true. So, $(2,-2)$ cannot be a vertex

Put $(x,y)=(4,-1)$

$34=\left [ (4-4)^2+(-1-1)^2 \right ]+\left [ (4+1)^2+(-1+2)^2 \right ]\\34=4+25+1\\34=30$

which is not true. So, $(4,-1)$ cannot be a vertex

Put $(x,y)=(-1,4)$

$34=\left [ (-1-4)^2+(4-1)^2 \right ]+\left [ (-1+1)^2+(4+2)^2 \right ]\\34=25+9+36\\34=70$

which is not true. So, $(-1,4)$ cannot be a vertex

So, possible points for the vertex are $(-1,1),(4,-2)$

7 0

3 years ago

Read 2 more answers

Can 3 8/35 be written in simplest form-please answer this is URGENT!!!

11Alexandr11 [23.1K]

No, because 3 8/35 is already written in simplest form

5 0

3 years ago

Ham bought 40 calculators each at £8.20 and a number of other calculators at £2.95each .in all he spent £387 .how many cheaper c

PSYCHO15rus [73]

He bought 20 of the cheaper calculators.
40•8.20=328
387-328=59
59/2.95=20

6 0

2 years ago

Please help! Thank you<br> X= ?

Ierofanga [76]

Answer:

x = 2

Step-by-step explanation:

OP is twice the length of RS; therefore we can create the following equation:

4x = 2(6x-8)

4x = 12x - 16

-8x = -16

x = 2

make sure OP is twice the length of RS by plugging 2 in for 'x':

4(2) = 6(2) - 8

8 = 12 - 8

8 is twice 4 so it checks out

8 0

2 years ago