Answer:
1. y = 9/2 or lowest term of 4 1/2
2. r = 60
3. 3/16
Step-by-step explanation:
1. y = kx
3 = 4k
¾ = k
y = ¾x
y = ¾(6)
Multiply 3 to 6
y = 18/4
Divide the numerator and denominator by 2
[tex]y = \frac{18 \div 2}{14 \div 2} [/tex]
Divide the numbers
[tex]y = \frac{9}{2} \: or \: lowest \: term \: of \: 4 \frac{1}{2} [/tex]
[tex]2. \: r = \frac{k}{s} [/tex]
[tex]100 = \frac{k}{27} [/tex]
k = 27(100)
k = 2,700
[tex]r = \frac{2700}{45} [/tex]
Divide 2,700 to 45
r = 60
[tex]3. \: p = \frac{k}{ {q}^{2} } [/tex]
[tex]3 = \frac{k}{ {4}^{2} } [/tex]
[tex]3 = \frac{k}{16} [/tex]
k = 16(3)
k = 48
[tex]p = \frac{48}{ {16}^{2} } [/tex]
[tex]p = \frac{48}{256} [/tex]
Divide the 48 to 256
[tex]p = \frac{48}{256} [/tex]
Divide the numerator and denominator by 16
[tex]p = \frac{48 \div 16}{256 \div 16} [/tex]
Divide the number
[tex]p = \frac{3}{16} [/tex]
I hope it's help
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