Answer: x-intercept :12 & y-intercept ;-8
Step-by-step explanation:To find the x-intercept ,substitute in 0 for y and solve for x .
8x-12y=96
8x-12(0)=96
8x=96 (divide both # by 8)
x=12
To find the y-intercept ,substitute in 0 for x and solve for y .
8(0)-12y=96
-12y=96(Divide by -12 both )
y=-8
Answer:
![P=\frac{1}{132}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%7D%7B132%7D)
Step-by-step explanation:
If there are twelve contestants, the number of ways in which they can select the first and second turn can be calculated using the rule of multiplication as:
<u> 12 </u>*<u> 11 </u>= 132
1st turn 2nd turn
Because, they are going to have 12 contestants for the first turn and then they are going to have 11 contestants for the second.
On the other hand, 1 of these options is that you go first and your friend goes second, so the probability that this happens is equal to:
![P=\frac{1}{132}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%7D%7B132%7D)
Answer:
<em>(2, - 6, 3)</em><em> </em>
Step-by-step explanation:
2x - y - 3z = 1 ⇒ y = 2x - 3z - 1 .... <em>(1)</em>
4x + 3y + 2z = - 4 .... <em>(2)</em>
- 3x + 2y + 5z = - 3 .... <em>(3)</em>
(1) ---> (2) and (3)
4x + 3(2x - 3z - 1) + 2z = - 4 ⇔ 10x - 7z = - 1 ... <em>(4)</em>
- 3x + 2(2x - 3z - 1) + 5z = - 3 ⇔ x - z = - 1 ⇒ x = z - 1 ---> (4)
10(z - 1) - 7z = - 1 ⇒ <u><em>z = 3</em></u>
<u><em>x = 2</em></u>
2(2) - y - 3(3) = 1 ⇒ <u><em>y = - 6</em></u>
<em>(2, - 6, 3)</em>
Answer: 1/2, 1/2, 1/4
Step-by-step explanation:
To find the fraction that the hour hand turns of a clockwise revolution, we have to find how long it is going then divide by 12
Ex. a) 11 - 5 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution
b) 8 - 2 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution
c) For this, we have to convert 1 into 13 as 1 - 10 is a negative number
13 - 10 = 3, 3/12 = 1/4 so the hour hand turns by 1/4 of a clockwise revolution
1023*9/11=837 is number of <span>guppies
when </span><span>angers fish were sold out total fish became equal 837*31/27= 961
total fish before - total fish at the end = 1023-961= 62 angers fish were sold</span>