Answer:
•26.376 units
•23.236 units
•34.54 units
•59.66 units
Step-by-step explanation:
The formula for the circumference of a circle is ...
C = 2πr = πd
C = 2(3.14)r = 6.28r or C = 3.14d
where r is the radius and d is the diameter.
Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".
r = 4.2 ⇒ C = 6.28×4.2 = 26.376
d = 7.4 ⇒ C = 3.14×7.4 = 23.236
d = 11 ⇒ C = 3.14×11 = 34.54
r = 9.5 ⇒ C = 6.28×9.5 = 59.66
Answer:
700
Step-by-step explanation:
35/x = 5/100
cross-multiply:
5x = 3500
x = 700
Answer:
y = 2x - 3
Step-by-step explanation:
So since we have to put it in y = mx + b form
Subtract 2x from both sides
-y = -2x + 3
Divide both sided by -1
y = 2x - 3
Answer: 8 skates
Step-by-step explanation:
Given that:
Skate rental = $3
Let number of skates rented by cotters = x
Hence, amount paid by cotters = 3x
The Moores paid $6 more
Moores amount = 3x + 6
Combined amount paid = 42
3x + 3x + 6 = 42
6x + 6 = 42
6x = 42 - 6
6x = 36
x = 36 / 6
x = 6
Hence, amount spent by the Moore's:
3x + 6
3(6) + 6 = 18 + 6 = $24
Cost per skate rental = $3
Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates
<span>Simplifying
3(5 + -1e) + 2 = 10
(5 * 3 + -1e * 3) + 2 = 10
(15 + -3e) + 2 = 10
Reorder the terms:
15 + 2 + -3e = 10
Combine like terms: 15 + 2 = 17
17 + -3e = 10
Solving
17 + -3e = 10
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-17' to each side of the equation.
17 + -17 + -3e = 10 + -17
Combine like terms: 17 + -17 = 0
0 + -3e = 10 + -17
-3e = 10 + -17
Combine like terms: 10 + -17 = -7
-3e = -7
Divide each side by '-3'.
e = 2.333333333
Simplifying
e = 2.333333333</span>
