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dezoksy [38]
3 years ago
14

If y varies directly as x and y=4 when x=-2 find y when x=30

Mathematics
1 answer:
katovenus [111]3 years ago
5 0

Answer:

Step-by-step explanation:

y=kx

4=k(-2)

k=-2

y=-2x

when x=30

y=-2*30=-60

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If a: b = 2:3, b: c = 4:3, and c: d = 7: 8, find a: d.
Taya2010 [7]

Answer:

a:d=7:9

Step-by-step explanation:

We have a system with 3 equation:

\frac{a}{b}=\frac{2}{3}\\\frac{b}{c}=\frac{4}{3}\\\frac{c}{d}=\frac{7}{8}

If we multiply all of these equations, then we have:

\frac{a}{b}*\frac{b}{c}*\frac{c}{d}=\frac{2}{3}*\frac{4}{3}*\frac{7}{8}\\\frac{a*b*c}{b*c*d}=\frac{2*4*7}{3*3*8}\\\frac{a}{d}=\frac{56}{72}

If we simplify this fraction dividing by 9, then:

\frac{a}{d}=\frac{56:9}{72:9}=\frac{7}{9}

Therefore, a:d=7:9

3 0
3 years ago
A village experienced 2% population growth, compounded continuously, each year for 10 years. At the end of the 10 years, the pop
pantera1 [17]

Answer:

The initial population at the beginning of the 10 years was 129.

Step-by-step explanation:

The population of the village may be modeled by the following function.

P(t) = P_{0}e^{rt}

In which P is the population after t hours, P_{0} is the initial population and r is the growth rate, in decimal.

In this problem, we have that:

P(10) = 158, r = 0.02.

So

158 = P_{0}e^{0.02*10}

P_{0} = 158*e^{-0.2}

P_{0} = 129

The initial population at the beginning of the 10 years was 129.

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3 years ago
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Answer:

Step-by-step explanation:

Yes

8 0
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Which of the following numbers can be expressed as decimals that terminate? 5/2 4/5 2/7 4/3
gulaghasi [49]
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Answer:

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Step-by-step explanation:

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