Answer: 105750
Step-by-step explanation:
From the sequence 9, 33, 57, 81, 105, the following can be derived:
a = First term = 9.
d = Common difference = 33 - 9 = 24
n = Number of terms = 94
The sum of the nth term will be:
= n/2[2a + (n – 1)d]
= 94/2 [(2 × 9) + (94 - 1) × 24]
= 47 [18 + (93 × 24)]
= 47[18 + 2232]
= 47 × 2250
= 105750
Therefore, the sum of the 94 terms of the sequence is 105750.
Answer:
322.24 meters
Step-by-step explanation:
The scale is 4 meter per centimeter. Multiply 5.3 by 4 to get 21.2 meters. Multiply 5.3 by 4 to get 15.2 meters. Multiply 21.2 by 15.2 to get 322.24
It is the distance between -14 and 0 on the number line
1(6x-9)=(4x-6)
One solution was found :
x = 3/2 = 1.500
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1*(6*x-9)-((4*x-6))=0
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
6x - 9 = 3 • (2x - 3)
Equation at the end of step 2 :
3 • (2x - 3) - (4x - 6) = 0
Step 3 :
Equation at the end of step 3 :
2x - 3 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : 2x-3 = 0
Add 3 to both sides of the equation :
2x = 3
Divide both sides of the equation by 2:
x = 3/2 = 1.500
One solution was found :
x = 3/2 = 1.500