Answer:
27/5
Step-by-step explanation:
b. how many plates can you glaze
c. how much glaze will be left over?
Part a) how many bowls could you glaze
we know that
You have pints of glaze. It takes of a pint to glaze a bowl
so
To find the number of bowls divide by
therefore
the answer part a) is equal to
Part b) how many plates can you glaze
You have pints of glaze. It takes of a pint to glaze a plate
so
To find the number of plates divide by
therefore
the answer part b) is equal to
Part c) how much glaze will be left over?
In the Part a)
In the Part b)
Answer:
25
Step-by-step explanation:
-28
-62
28
-32
XY=6b, YZ=8b, XZ=175
The value of YZ is 100 units.
Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.
Given:
XY=6b, YZ=8b, XZ=175
XY + YZ = XZ
6b + 8b= 175
14 b= 175
b= 175/14
b=12.5
So, YZ = 8b
=8*12.5
= 100 units.
Hence, the value of YZ is 100 units.
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b. 3.2 rad/s
c. 52 rad/s
d. 81 rad/s
Answer:
c. 52 rad/s
Step-by-step explanation:
Final question does not correspond with available option. The real question is: What is the angular speed in radians per second?
At first we assume that spin balance rotates at constant rate and convert given angular speed, measured in revolutions per minute, into radians per second:
Which corresponds to option C.
The wheel rotates at an angular speed of 52 rad/s and the equivalent road speed is about 39 mph.
To solve this, we need to consider the given spin speed which is 500 revolutions per minute and convert this to rev per second by dividing by 60.
This is because a minute has 60 seconds.
Hence, the wheel rotates at 500/60 = 8.33 rev/s.
Furthermore, we need to know that in physics, one full revolution equals 2π radians (this is the equivalent of going around a circle once).
So, to convert from revolution to radian, we multiply by 2π, so the wheels is spinning at 8.33 * 2π ≈ 52.36 rad/s, which most closely matches option c. 52 rad/s.
Lastly, the linear (or road) speed can be calculated by multiplying the Angular momentum by the radius of the wheel (which is half the diameter), so v = (52.36 rad/s) * (13 in) = 680.68 in/s.
To convert it to mph, note that 1 inch/s = 0.057 mph, hence the wheel is spinning at about 39 mph.
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