Replace a and b with their given values:
(2(3/5) -1/3) / -6.75/15
2 x 3/5 = 6/5
6/5 - 1/3 = 18/15 - 5/15 = 13/15
13/15 / -6.75/15 = 13/15 x 15/-6.75 = (13 x 15) / (15 x -6.75) = 195/-101.25 = -1 25/27
Answer: -1 and 25/27
Answer:
2x - 7y + 17
Step-by-step explanation:
Subtracting the 2 expressions
2x - 4y + 6 - (3y - 11) ← distribute parenthesis by - 1 )
= 2x - 4y + 6 - 3y + 11 ← collect like terms
= 2x - 7y + 17
Answer:
95
students in the seventh grade have taken swimming lessons.
Explanation:
We calculate
38
%
of
250
using the following formula:
x
=
250
×
38
100
x
=
25
0
×
38
10
0
(cancel by 10)
x
=
5
25
×
38
2
10
(cancel by 5)
x
=
5
×
19
38
1
2
(cancel by 2)
x
=
5
×
19
x
=
95
Step-by-step explanation:
To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.
In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!