Answer:
25m + 10b = 400
Step-by-step explanation:
Total amount that can be earned = $ 400
Amount earned on mowing a lawn = $ 25
Amount earned per hour on babysitting = $10
Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m
Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b
Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours
Using the values from above, we can set up the equation as:
400 = 25m + 10b
Answer:
x=55°
Step-by-step explanation:
Add angles together and set to 180°. Solve for x.
Answer:
Yes
Step-by-step explanation:
Remember in order for the rates to be proportional it has to have a constant rate of change and it has to go through the origin if graphed
For one this has a constant rate of change which is 3 dollars per 25 messages
Now we just have to find out if it would go through the origin (0,0)
To do so we subtract 3 dollars and then 25 messages
6-3=3
50 - 25 =25
then again 25-25=0
3-3=0
concluding that (0,0) is a solution
Thus meaning that this is a proportional relationship
For the general quadratic equation ax^2 + bx + c = 0 the discriminant is b^2 - 4ac.
So, for x^2 + x + 2 = 0, a = 1, b = 1, and c = 2, therefore
b^2 - 4ac = 1^2 - 4(1)(2) = 1 - 8 = - 7.
Answer: - 7
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