Answer:
Step-by-step explanation:
To solve for the variable , start by subtracting from both sides of the equation:
Then, subtract from both sides of the equation:
Therefore,
-
To check your work, simply substitute the solved value of into the initial equation:
Multiply:
Add:
Since both sides of the equation are equal to each other, our solution is correct!
Answer:
90, 81, 72, 63, 54
Step-by-step explanation:
I think that these numbers make up the most possible product. Having the larger numbers on the side as the tens digit would be a better way of making the product bigger so that you can leave the smaller numbers for the smaller ones digit.
Answer:
Step-by-step explanation:
We will let the x coordinates be the temp and the y coordinates by the number of chirps. Our coordinates then will look like this:
(60, 84) and (85, 184). If this is linear, then first we will find the slope of the line which will tell us, in the context of this problem, how many chirps a cricket gives per 1 degree of temp increase.
The slope formula is:
and filling in our numbers:
This means that for every 1 degree temp increase, a cricket will give 4 chirps. That's the m value in y = mx + b. Now we will pick one of the coordinates, doesn't matter which one, and use those x and y values in the point-slope form of a line to get the equation. I will choose (60, 85), just because. Using the other point will give you the exact same line equation, I PROMISE!
Using 85 as y1 and 60 as x1 in
y - y1 = m(x - x1) gives us
y - 85 = 4(x - 60) and
y - 85 = 4x - 240 and
y = 4x - 240 + 85 and
y = 4x - 155