-13 hope this answers tour question
ANSWER: a=12 b=15
Explanation: (look at work below)
4a + 1b = 63 (eq1)
5a + 3b = 105 (eq2)
-12a + -3b = -189 (subt. eq1 from eq2)
————————-
-7a = -84
a = 12
4(12) + 1b = 63 (plug in the a value)
48 + 1b = 63
b = 15
If the diameter of the circle is 18 feet, the circumference of the circle is 56.55 feet.
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.
The diameter of a circle is 18 feet.
D = 18 feet
Now, the radius of the circle is half the diameter of the circle.
Therefore,
Diameter = 2 × Radius
Radius = Diameter / 2
D = 2r
r = D / 2
r = 18 feet / 2
r = 9 feet
Now, the circumference of a circle is given as:
Circumference = π × diameter
Circumference = π × 2r
Circumference = 2πr
Circumference = 2 × π × 9 feet
Circumference = 2 × 3.14159 × 9
Circumference = 56.55 feet
Learn more about circles here:
brainly.com/question/8952990
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D=61d+30d=91d,
S=300+30d
S<D
300+30d<91d
300<61d
d>4.91 Since days are integers,
The skier would have to go at least 5 days to make the season pass less expensive than using the daily pass.
So 5.10 is 100% and 0.57 is x%
percent means parts out of 100
5.10/100%=0.57/x% since they are equal (exg 2/4=3/6)
5.10/100=0.57/x
multipy both sides by x/0.57 to clear fraciton
(5.1x)/57=1
multiply both sides by 57 to get rid of the denomeator (bottom number
5.1x=57
divde both sides by 5.1
x=11.1765
increase of 11.2%
( an easy way is (0.57/5.1) times 100)