165 is answer we also use a formula
5 ( n/2(2a + ( n-1)d)
in that n=6 ,a=3 , d= 1
Answer:
40
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Step-by-step explanation:
4÷1/2=8
5×8=40
Answer:
The smallest of the said odd numbers is 27
Step-by-step explanation:
Since it is 3 odd numbers that sums up to 87, the first thing to do is to divide 87 by 3
That is 87/3 = 29, which is an odd number
The nearest odd numbers to 29 are 27 and 31, and the total of all these three odd numbers is 87
That is 27+29+31 = 87, which are consecutive odd numbers.
The smallest odd number here is therefore 27
Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:
Note that in general a quadratic equation is such that:
In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:
Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:
Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.
Answer:
Answers in step-by-step.
Step-by-step explanation:
We are going to make Sarah the variable "s."
Using the given information, the following equation is derived to calculate Sarah's distance.
And the following equation will be used to calculate what Sarah collected using "p" for pledged money.
If Sarah collected $450 in pledges, we can use the preceding formula to calculate her distance.
- P=18S
- 450=18S
- 450/18=S
- 25 miles = S
Using Sarah's distance, we can calculate Semir's either the first equation.
- S=2n-5
- 25=2n-5
- 30=2n
- 15=n
- Semir walked 15 miles.
We already found Sarah's distance to be 25 miles.
Now SungSo is making the same amount as Sarah. He collects $450 total, but he got $72 from his grandmother initially, so subtract 72 from 450 to get the amount he collected from walking.
His formula is the same as Sarah's, but we'll use SS for his variable.
- P=18SS
- 378 = 18SS
- 378/18=SS
- 21= SS
- SungSo walked 21 miles.
