Answer:
$1,480
Step-by-step explanation:
Mia has a annual salary of $38,480.
If he receives 26 equal pay checks and you are trying to figure out how much he makes in each you would have to use division.
(38,480÷26=1,480)
Mia makes $1,480 per pay check.
<span>Simplifying
3(5 + -1e) + 2 = 10
(5 * 3 + -1e * 3) + 2 = 10
(15 + -3e) + 2 = 10
Reorder the terms:
15 + 2 + -3e = 10
Combine like terms: 15 + 2 = 17
17 + -3e = 10
Solving
17 + -3e = 10
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-17' to each side of the equation.
17 + -17 + -3e = 10 + -17
Combine like terms: 17 + -17 = 0
0 + -3e = 10 + -17
-3e = 10 + -17
Combine like terms: 10 + -17 = -7
-3e = -7
Divide each side by '-3'.
e = 2.333333333
Simplifying
e = 2.333333333</span>
Let a and d be the first term and common difference, respectively. Then
the 8th term is a+7d
the 20th term is a+19d
The sum of the first 8 terms is
(a)+(a+d)+(a+2d)+...+(a+7d) = 8a+28d
The sum of the first 20 terms is
(a)+(a+d)+(a+2d)+...+(a+19d) = 20a+190d
So
8a + 28d = 160
20a+ 190d = 880
40a + 140d = 800
40a + 380d = 1760
240d = 960
d = 4
8a + 112 = 160
8a=48
a =
6
The first term is 6 and the common difference is 4.
The 43rd term is a+42d = 6+42(4) = 6+168 = 174
The sum of the first 12 terms is
(a)+(a+d)+(a+2d)+...+(a+11d) = 12a+66d = 12(6)+66(4) = 72+264 = 336
B. Half the speed of the car. and C. The number of different colors on the page.
Variables are symbols for unknown values, so you have to find the statements that contain an unknown value.
A. 27 ⇒ The point value is known, so there is no variable.
B.
X ⇒ Since the speed of the car is unknown, the variable X represents the speed of the car. This variable is multiplied by
or divided by 2 to get half the speed of the car.
C. X ⇒ The number of different colors is not known, so the variable X represents the number of different colors.
D. 80 ⇒ There is nothing unknown in the statement.
Step-by-step explanation:
first you group like terms.
-3s-s+8+1-2
-4s+7