Answer: y=4 x=27
Step-by-step explanation: 2y+3=11
-3 -3
2y=8
/2 /2
y=4
2/3x=18
(3) (3)
2x=54
/2 /2
X=27
Answer:
1. k≤ 26.11 hours
2. 5 ≤ x ≤ 6
Step-by-step explanation:
1.
38.76 + 2.69k ≤ 109
2.69k ≤ 70.24
k ≤ 26.11 hours
2.
19 ≤ 4 + 3x ≤ 22
15 ≤ 3x ≤ 18
5 ≤ x ≤ 6
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Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
X - y = 8
x + 2 = 3y.....x = 3y - 2
3y - 2 - y = 8
2y = 10
y = 5
x - y = 8
x - 5 = 8
x = 8 + 5
x = 13
so x = 13 and y = 5
$142.20 x .15% = 21.33
$142.20 - 21.33 = $119.87
