Let the weight if a whole pizza be x grams
Then 1/4 of a pizza weighs x/4 grams and one eighth weighs x / 8. The difference is 32 grams so we can make the following equation:-
x/4 - x/8 = 32
x / 8 = 32
Multiplying both sides by 8:-
x = 8*32 = 256
Answer is 256 grams.
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
Divide both sides by -2
Now, we can identify clearly that the slope of the given line is 
since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of as well. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-8)
Add 3 to both sides to isolate b
Therefore, the y-intercept is -5. Plug this back into :
I hope this helps!
Inscribed is a polygon inside a circle with all points on a given point in the circle. Circumscribed is a circle inside a polygon with any given point touching just one point on the polygon. Hope this helped.
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
Answer:
i think it is many but i am not sure
Step-by-step explanation:
