If seven consecutive numbers equal to 182, which one is the smallest?
2 answers:
Answer:
23.
Step-by-step explanation:
My assumption: You mean when you add the numbers, they equal 182.
Let be the smallest number. Then we are asked to solve the following equation:
Rearranging the equation gives us:
7x + 21 = 182 => x + 3 = 26 => x = 23.
So the smallest number is 23 (since our assumption was that x is the smallest number.
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You could very well have stated that x was the middle number as a lot of cancellations would occur. That is:
(x - 3) + (x - 2) + (x - 1) + x + (x + 1) + (x + 2) + (x - 3) = 182.
7x = 182 => x = 26 so the smallest would be 26 - 3 = 23.
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Answer:
He gets 42 visitors 4 weeks after starting to build his website.
He gets 10 new visitors per week.
Step-by-step explanation:
Equation for the number of visitors:
The equation for the number of visitors Timmy's new website receives after t weeks is:
In which b is the number of visitors rightly after he starts.
Timmy is building a new website. Right after he starts, he has 2 visitors.
This means that , so:
How many visitors does he get 4 weeks after starting to build his website?
This is v(4). So
He gets 42 visitors 4 weeks after starting to build his website.
How any new visitors does he get per week?
After 0 weeks:
After 1 week:
2 weeks:
After 2 week:
22 - 12 = 12 - 2 = 10
He gets 10 new visitors per week.
Answer:
y=11
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15
If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1
The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.
To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):
in this instance would be 1/0, so we can substitute it into the equation:
Multiply both sides by 0
So the slope of the new line is 0
We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:
y=0x+b
Now we need to find b:
Since the equation passes through the point (-8,11), we can use its values to solve for b.
Substitute -8 as x and 11 as y:
11=0(-8)+b
Multiply
11=0+b, or 11=b
So substitute into the equation:
y=0x+11
We can also write the equation as y=11
Hope this helps!