Answer:

Step-by-step explanation:
step 1
Find the area of the circle with a diameter of 9 units
we know that
The area of a circle is equal to

we have
----> the radius is half the diameter
substitute


step 2
Find the area of a square with a side length of 8 units
we know that
The area of the square is

where
b is the length side of the square
we have

substitute

step 3
Equate the areas

solve for 

Answer:x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4−3x=8−4x
4+−3x=8+−4x
−3x+4=−4x+8
Step 2: Add 4x to both sides.
−3x+4+4x=−4x+8+4x
x+4=8
Step 3: Subtract 4 from both sides.
x+4−4=8−4
x=4
8 quarts is equal to 32 cups :)
Find the greatest common factor (gcf) in each grade between the girls and boys
in 6th grade the gcf is 8
64/8=8 72/8=9
the largest number of groups that can be made equally would be 8 groups of 8 girls and 8 boys
Hope this helps!!
Answer:
23 chalkboards
Step-by-step explanation:
Given:
Mean length = 5 m
Standard deviation = 0.01
Number of units ordered = 1000
Now,
The z factor =
or
The z factor =
or
Z = - 2
Now, the Probability P( length < 4.98 )
Also, From z table the p-value = 0.0228
therefore,
P( length < 4.98 ) = 0.0228
Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.