Answer:
<u>(</u><u>-3.5, 2.3</u><u>)</u>
Step-by-step explanation:
Let the point P have coordinates : (x, y)
The line (from R to Q) is divided in the ratio :
Coordinates of :
Using section formula :
- x = mx₂ + nx₁ / m + n
- x = 5(-5) + 1(4) / 5 + 1
- x = -21/6 = -7/2
- x = -3.5
- y = my₂ + ny₁ / m + n
- y = 5(3) + 1(-1) / 5 + 1
- y = 14/6 = 7/3
- y = 2.3
The coordinates of the point P are : <u>(</u><u>-3.5, 2.3</u><u>)</u>
Option B
<em><u>Solution:</u></em>
Given that, we have to simplify the given expression
Given expression is:
We can simplify the expression by cancelling the common terms in numerator and denominator
Take the common terms out in given expression
Cancel the common terms in numerator and denominator
<em><u>Thus the simplified form of given expression:</u></em>
Thus option B is correct
Answer:
<u>Hours in first month = 8</u>
Step-by-step explanation:
AS it is given
He volunteered fr the first month = x hours
He volunteered for the second month = 12/3 times of first month
which will be = 12/3 * x
Total Hours volunteered = 40 hours
Now according to the given conditions
Volunteered first month + volunteered second month = total
putting this gives
x + 12/3 8 x = 40
as 12/3 = 4 so
it becomes
x + 4x = 40
solcing it will gives
5x = 40
x = 40/5
x = 8
<u><em>So Numbers of hours worked in first month are 8</em></u>
<u><em></em></u>
<u>I hope this help you! :)</u>
Answer:
29 3/4 cups
Step-by-step explanation:
total amount of tanner in the 3 containers = sum of tanners in each container
total cups in containers b and c = 2/3 x 12 3/4
2/3 x 51/4 = 17/2 cups or 8 1/2 cups
total capacity = 8 1/2 + 8 1/2 + 12 3/4 = 17 + 12 3/4 = 29 3/4
We already have our 2 numbers, meaning that all we need to do is put the numerator in the numerators' place and denominator in the denominators' place.
40/50 can be simplified.
20/25
4/5
Aidan got 4/5 question correct on his test.
If you need help, comment below and ill try my best to help you out!
