Given:
Let t = number of hours worked
Let p = money in the paycheck
And the relationship between the two variables varies DIRECTLY, thus they are equated with one another.
Well anyway, you can write this simple equation for their relationship:
16t=124p
Then you derive if you want to get the number of hours or the amount paid:
1) 16t/16= 124p
t = 124p/16
t=7.75p
or
2) 124p=16t
124p/124= 16t/124
p = 0.129t
Option 1 : -22
using formula
(a + b )(a - b ) = a^2 - b^2
(√10 + 2√8) (√10 - 2√8)
= (√10)^2 - (2√8)^2
= 10 - 2×2×8=10-32
= -22
2nd question answer is option 3
Answer:
Third number is 12
Step-by-step explanation:
Let
be common difference &
be the third number. Set up the following equations:

Solve the simultaneous equation for x-term:

Let’s make sure that we get accurately answer. Substitute x = 12 in any equations which I’ll choose (1):

Now add each terms with common difference as 7:
-2+7 = 5
5+7 = 12
12+7 = 19
19+7 = 26
So our pattern is -2, <u>5</u>, <u>12</u>, <u>19</u>, 26. Since the question only asks for third number then the answer is 12
Answer:
2/8, 3/12, and 4/16
Step-by-step explanation:
Answer:
- n + q = 25
- 0.05n + 0.25q = 4.05
Step-by-step explanation:
<em>Two equations</em> are required to represent this problem as posed.
1. An equation for the number of coins:
n + q = 25
2. An equation for the value of the coins:
0.05n + 0.25q = 4.05