The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
<h3>How to calculate arithmetic progression?</h3>
The first term of an arithmetic progression can be calculated using the following expression:
Sn = n/2 [2a + (n − 1)d]
Where;
- a = first term
- Un = sum
- n = no of terms
- d = common ratio
100 = 2 [2a + (4 - 1)4]
100 = 4a + 24
4a = 100 - 24
a = 76/4
a = 19
Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
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Answer:
2
Step-by-step explanation:
The slope of a line can be found by finding the change in change in the y values over the change in the x values:
Where y2 is the second y point and y1 is the first point, same the with x values
So:
7-3 = 4
5-3 = 2
4/2 = 2
So the slope is 2
Let's solve your equation step-by-step.
10x+12=5x+45
Step 1: Subtract 5x from both sides.
10x+12−5x=5x+45−5x
5x+12=45
Step 2: Subtract 12 from both sides.
5x+12−12=45−12
5x=33
Step 3: Divide both sides by 5.
5x/5=33/5 (5x over 5 = 33 over 5)
x=33/5 ( x is equal to 33 over 5)
Answer:
1.6 hours
Step-by-step explanation:
Number of opening hours a day = 8
Number of groups = 5
Dividing the number of opening. Hours equally among the 5 groups :
8 hours / 5
= 1.6 hours per group per day