Answer:
1. Slope = 1/4
Point = ( 1, 1 )
2. Slope = -3
Point = ( 3, -20 )
Step-by-step explanation:
Answer:
<h2> 12÷49</h2>
Step-by-step explanation:
The total number of bags in the bottle = 20 + 15 = 35
Then
the probability that the first bag is blue = 20/35
If we replace the first bag :
the probability that the second (picked) bag is blue = 15/35
Conclusion:
If two bags are picked at random one after the other with replacement
Then
the probability that the first bag is blue and then red is :
(20÷35)×(15÷35)
= (4÷7)×(3÷7)
= 12÷49
= 0.244897959184
Answer:
Only A is correct
Step-by-step explanation:
A is shown in the image below.
For B, a rectangle does not have its lenght and height having the same dimension.
For C, such a cross section will give a square with sides of 4 cm each.
Answer:
1. -12x - 9y - 6
2. -12x + 36
3. -240
4. -2
5. x = -57
6. x = -6
7. x = 48
8. x = 20
9. x = -288
10. n = 8
Step-by-step explanation:
1.
-5x - 13 + 3y - 7x - 12y + 7
-12x - 13 + 3y - 12y + 7
-12x - 6 + 3y - 12y
-12x - 6 - 9y
-12x - 9y - 6
2.
-3(4x - 12)
-3(4x) + (-3)(-12)
-12x + 36
3.
6x - 282
6(7) - 282
42 - 282
-240
4.
6x + 2(y + x)
6(-2) + 2(7 + (-2))
-12 + 2(7 - 2)
-12 + 2(5)
-12 + 10
-2
5.
x - 23 = -80
+ 23 +23
x = -57
6.
12x = -72
/12 /12
x = -6
7.
x/4 = 12
* 4 * 4
x = 48
8.
3x + 12 = 72
- 12 - 12
3x = 60
/3 /3
x = 20
9.
x/4 - 8 = -80
+ 8 + 8
x/4 = -72
* 4 * 4
x = -288
10.
-4(1 - 5n) - 8n = 92
-4 + (-4)(-5n) - 8n = 92
-4 + 20n - 8n = 92
-4 + 12n = 92
12n - 4 = 92
+ 4 + 4
12n = 96
/12 /12
n = 8
Answer: 4.13 x 10^4
Step-by-step explanation: You have to just count the places such as the tens all the way to the thousands which leaves you with the exponent of 4.
