Answer: 12 hours
Step-by-step explanation: 6 h = 360 min,9 h = 540 min, 12 h = 720 min
640-360=280 , 640-540=100 , 640-720=-80
Answer:
- B. Y = 32x + 35
- E. Y = 35x + 30
- F. Y = 40x + 40
Step-by-step explanation:
First find out how much Mary was charging per hour:
= 500 / 20
= $25 per hour
She charges $60 for plants.
In a linear equation of the form: y = mx + c, the m represents the variable cost which in this case is the $25 per hour and the c is the fixed cost which is the $60.
Her rate as a linear equation would be:
y = 25x + 60
Looking a the value of the m of other gardeners will tell you who is charging higher hourly rates with anything above $25 doing so.
The gardeners with higher values of m than Mary are:
B. Y = 32x + 35
E. Y = 35x + 30
F. Y = 40x + 40
Answer:
<em>The freezing point of water increases by 0.0001 degrees Fahrenheit when the altitude increases by 1 foot.</em>
Step-by-step explanation:
The model for the freezing point of water T at altitude a is:
T(a)= 0.0001a+32
The slope of this equation is the coefficient of the variable a. Since the slope is positive, it means the freezing point of water increases by 0.0001 degrees Fahrenheit when the altitude increases by 1 foot.
For example, when a=1000, the freezing point is:
T(1000)= 0.0001*1000+32 = 32.1°F
When a=1001, the freezing point is:
T(1001)= 0.0001*1001+32 = 32.1001°F
Note the increase of 1 foot in altitued meant an increase of 32.1001-32.1 = 0.0001°F
The answer to they is x=0
Answer:

Step-by-step explanation:
Given a right-angled triangle as shown above,
Included angle = 60°
Opposite side length = 3
Adjacent side length = x
To find x, we would use the following trigonometric ratio as shown below:

multiply both sides by x


Divide both sides by tan(60)



(approximated to whole number)