Answer:
2/3
Step-by-step explanation:
2.8 = 2 + 0.8
*let's analyze the decimal 0.8 as a fraction
0.8 = 8/10
*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:
(8/2)/(10/2) = (4)/(5) = 4/5
*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:
2*(5/5) = (2*5)/5 = 10/5
*Now we add the fractions together:
2 = 10/5
0.8 = 4/5
10/5 + 4/5
*add numerators only, the denominator stays as a 5
(10 + 4)/5 = 14/5
*there are no common factors between 14 & 5 (other than 1, but that won't help reduce the fraction any), so the fraction is in it's simplest form:
answer is: 14/5
A slope intercept form: y = mx + b where m = slope and b = y -intercept
A slope of 3/2 is given
So y = 3/2 x + b
To find b:
b = y - mx
A line passes through the point (4, -6)
b = -6 - (3/2)(4)
b = -6 - 6
b = - 12
Answer
Equation in slope intercept form: y = 3/2 x - 12
Answer:
2/9
Step-by-step explanation:
given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.
We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.
No of cards = 3
Prob of selecting 5 from 3 cards = 
When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6
Prob of getting 5 =
Prob of getting less than 5 =
Since these two events are independent,
the probability that she selects the 5, and rolls a number less than 5
= Product of probabilities
= *
=
First, let's find out how many 5/6 pound bags he can fill with on 2 pound bag.
2 divided by 5/6
2 x 6/5
2.4
He can fill 2.4 bags with one 2 bag.
Now we just need to multiply 2.4 by a number that will make it a whole number. You can use the guess and check method starting with 2 to figure your answer out, but 2.4 x 5 = 12 which is a whole number.
This means that Chad needs to buy 5 of the 2 pound bags to fill 12 of the 5/6 pound bags, and he will not have peanuts leftover
