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cupoosta [38]
3 years ago
7

There are 6 brown, 5 blue, and 2 orange marbles in a hat. What is the probability of picking two orange marbles in a row without

returning the marbles back to the hat? (Write your answer as a fraction.)

Mathematics
1 answer:
never [62]3 years ago
5 0
Answer and workings in the attachment below.

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We are currently learning triangle similarity and about dilations in geometry. We have been using cross multiplying to figure th
miss Akunina [59]
Took me a minute to think.

Form ratios.

x, the small triangle, forms a ratio with 6, the big triangle.

The part of the side that is equal(with the dash) that is part of the small triangle is equal to 6-x, the big triangle.

Yes, you can cross-multiply here!

\frac{6}{x}  =  \frac{8}{6-x}

<em>Now,</em><em> </em>cross multiply.
P.S. Use distributive property.

36-6x = 8x

Add 6x on both sides.

36=14x

Divide by 14 on both sides.

x = \frac{36}{14} = \frac{18}{7}



4 0
3 years ago
Explain how you can tell whether the sum of two integers is positive or negative, before adding them.
julsineya [31]

Answer:

The sum of any integer and its opposite is equal to zero. adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

7 0
3 years ago
Read 2 more answers
Simplify the expression √100/49
Mekhanik [1.2K]

Answer:  10/7

Step-by-step explanation:

The square root of 100 is 10 and the square root of 49 is 7 so the answer will be  10/7

4 0
3 years ago
given a polynomial and one of its factors, find the remaining factors of the polynomial. some factors may not be binomials. use
Alenkinab [10]
This is easy to do because you can factor
example
6/2=3 because 6=2*3 so 6/2=3/1 times 2/2 or 3

2x^3+17x^2+23x-42 can be factored out to equal
(x-1)(x+6)(2x+7)

so [(x-1)(x+6)(2x+7)]/(2x+7)=[(x-1)(x+6)] times (2x+7)/(2x+7)=(x-1)(x+6)=x^2+5x-6

the answer is (x-1)(x+6) or x^2+5x-6
3 0
3 years ago
Read 2 more answers
If y varies directly as the square of x and y =12 when x=2 find the value of x when y = 108
telo118 [61]

y = 3(x^2)

108 = 3(x^2)

36 = x^2

x = 6

5 0
3 years ago
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