Answer:
22 and 158
Step-by-step explanation:
Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.
- "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
- "x represents the measure of the smaller angle" is represented as x.
x + 7x+4 =180
8x+4=180
8x=176
x= 22
This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158
Answer:
The function would be linear because the rate of change is constant.
Step-by-step explanation:
Given

per minute
See attachment for complete question and options
First, we write the function that calculates the cost (C(t)) for t minutes.
This is calculated as:



Rewrite as:

A function that has the above format is referred to as a linear function which has the general format

Where
m represents the slope/rate and it is constant
From the list of given options, (a) is correct.
Answer:
p < -7
Step-by-step explanation:
.................
Answer:
According to the passage, we have the next equation:

where "K" is a proportional constant
Leaving at the end with the next equation:

Integrating the equation, we have:

where "C" is a constant
Then, we have the 2 conditions for the problem:
1) t=0 → r=10
Replacing in the equation, we have C = 10
2) t=5 → r=8
Replacing in the equation, we have K = -0.4
Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation

t = 25 minutes
Answer:
The man in the goose cross the river, with the fox and the beans together, he leaves the goose on the other side and goes back across.
The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.
Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.
He returns to pick up the goose and heads back across the river one last time.
Step-by-step explanation: