Answer:
From the first bag the probability is 5 out of 15 or 1/3 simplified
The second bags probability is 4 out of 9
All the bags combined the probability is 9 out of 24
Step-by-step explanation:
The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator
With everything said all you have to do is figure out the two steps an you’re good to go
Answer:
m<B = m<C = 55
Step-by-step explanation:
Since those two sides are congruent, the base angles are congruent.
m<B = m<C = x
m<A + m<B + m<C = 180
70 + x + x = 180
2x + 70 = 180
2x = 110
x = 55
m<B = m<C = 55
Answer:
6.56 g
Step-by-step explanation:
We can write the mass of radioactive isotope left after a time t by using the equation
where
is the initial amount of radioactive isotope
is the half-life
is the time
In this problem, we want to know the amount of radioactive isotope left after 5 half-lives, so after
Substituting into the equation, we have
Answer:
Required number is 4.
Step-by-step explanation:
Let the required number be a.
Given,
Sum of ten times the integer and seven times it’s square is 152.
= > Ten times of a + seven times of it's square = 152
= > 10( a ) + 7( a )^2 = 152
= > 10a + 7a^2 - 152 = 0
= > 7a^2 + 10a - 152 = 0
= > 7a^2 + ( 38 - 28 )a - 152 = 0
= > 7a^2 + 38a - 28a - 152 = 0
= > a( 7a + 38 ) - 4( 7a + 38 ) = 0
= > ( a - 4 )( 7a + 38 ) = 0
= > a = 4 or - 38 / 7
Hence the required number is 4.
