You would divide 20 by 7 and that is the answer
Hope this helps!
We have been given that Ralph earns $72,000 annually as an architect and is paid semimonthly.
Semimonthly means twice in a month. There are 12 months in a year.
Therefore, in a year Ralph gets

Now, Alice also earns $72,000 but she is paid biweekly.
Biweekly means twice a week. There are 52 weeks in a year.
Therefore, in a year Alice gets

The difference in the number of checks is 104 - 24 = 80
Thus, Alice receives 80 more checks in a year when compared to Ralph.
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
Answer:
7x^2+10y^2-2x is the correct answer, Marcus put -10y INSTEAD of +10y^2
Step-by-step explanation:
(3x^2-2y^2+5x)+(4x^2+12y^2-7x)
Combine like terms- I'll add x^2 first, then y^2, and then finally x, and it will be in that order.
7x^2+10y^2-2x
Make sure to check your signs are correct, and you wrote down the proper exponents.
Answer:y=5x/3 +7
Step-by-step explanation:
First, we find the slope of the line parallel. That is clearly, by rearranging, -3y= -5x + 9, and then dividing by -3, the slope is 5/3 .
Now, we know our equation is in the form of y = 5x/3 + b. Plugging in (-6,-3), we have -3 = -10 + b, so b = 7. Therefore, our equation is y= 5x/3 +7.