Answer: 1/4
Step-by-step explanation:
Let the volume of mixture (6%fat) in cup is 100cc
x cc be the volume of cream (18% fat) in the mixture.
∴
(100−x) cc be the volume of milk (2% fat) in the mixture.
x * 0.18+(100−x) * 0.02=100
⋅0.06 or 0.18x − 0.02x = 6−2 or 0.16x
= 4 or x=25 cc = 25%
Answer:
Step-by-step explanation:
<u>slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.
3x +2y -6= 0
2y= -3x +6
<em>Dividing</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>
Thus gradient of given line=
Parallel lines have the same gradient.
Thus gradient of line=
Subst. m= into the equation:
To find c, substitute a pair of coordinates.
When x=0, y=0,
Thus, the equation of the line is .
Answer: = 3n + 1 , n≥ 1
Step-by-step explanation:
The common difference of the sequence = 3 , so it is an arithmetic sequence.
The formula for the nth term of an arithmetic sequence is given as:
= a + (n-1)d
substituting the values of a and d , we have
= 4 + (n-1) X 3
= 4 + 3n - 3
= 1 + 3n
= 3n + 1 , n≥ 1
Answer: 8 pints
Step-by-step explanation: You have to convert all of the fractions into a number that would work with this equation. 2/5 = 4/10 = 8/20.You do the same to the other fraction. 3/10 = 6/20. 8+6 = 14. So far, Matt has used 14 pints of paint. He has 6 pints left but needs to get 14 for the next painting. 14-6 = 8. He will need to get 8 more pints of paint in order to complete his painting.
Answer: 16
Step-by-step explanation: