Answer:
8
Step-by-step explanation:
To solve this problem, we need to find the area of the pen, then divide that by the area required by each dog.
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The relationship between circumference and radius is ...
C = 2πr
Solving for r gives ...
r = C/(2π)
The relationship between radius and area of a circle is ...
A = πr²
Substituting for r from above gives ...
A = π(C/(2π))² = C²/(4π)
Filling in the given numbers, we find the area of the pen to be ...
A = (78.5 ft)²/(4·3.14) = 490.625 ft²
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Dividing the pen area by the area per dog gives the number of dogs the pen can hold:
(490.625 ft²)/(60 ft²/dog) ≈ 8.18 dogs
The pen can safely keep 8 dogs.
Carlie's Cell Phone Store owes a total of $144,627 in taxes.
1.) $1,287,684 - $598,982 = $688,702
Due to Tax Cuts and Jobs Act of 2017, corporate tax rate is fixed at 21%. Hence:
2.) $688,702 * .21 = $144,627.42 or $144,627
Answer:
n= 4f/5+90
Step-by-step explanation:
f= 5(n−90)
/4 (simplify)
f * 4=5(n−90) (multiply 4 on both sides)
4f=5(n−90) (regroup)
4f/5
=n−90 (divide 5 on both sides)
4f/5
+90=n (add 90 to both sides)
Simplify
4ax+12-3ax=25+3a
ax+12=25+3a
ax-3a=25-12
a(x-3)=13
Answer:
-2/3
Step-by-step explanation:
The slope of a line can be represented as
where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:
