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Sphinxa [80]
3 years ago
12

Solve the proportion to determine the value of x4x/15=60/x

Mathematics
1 answer:
frozen [14]3 years ago
4 0
4x/15 = 60/x
4x^2 = 900
x^2 = 225
x = 15 
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If possible step by step explanation. thank you!
elixir [45]

Answer:

A

Step-by-step explanation:

\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3

(3x^2)^\frac{1}{2} = 3^\frac{1}{2} x

Remember that \frac{x^b}{x^c} =x^(b-c)

Using that \frac{3^\frac{1}{2}x }{3^\frac{1}{2} }=3^(1/2x-1/2)=3^((x-1)/2)

3^\frac{x-1}{2} =3^1

So we can say: \frac{x-1}{2} =1, because the bases are the same

We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.

7 0
2 years ago
Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline independently buys a CD is 0.2.
AleksandrR [38]

Answer:

probability that Caroline buy both CD and  fruit = 0.52

Step-by-step explanation:

We have given that the probability of Caroline buys a fruit P = 0.4

So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6

Probability Caroline buys a CD P = 0.2

So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8

So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48

So probability that Caroline buy both CD and  fruit =1-0.48 = 0.52

7 0
3 years ago
What is the standard form of the quadratic function y=3(x-6)^2 +12
mash [69]

y=3(x-6)^2+12

y=3x-18^2+12

y=3x-324+12

y=3x-336

---

hope it helps

sorry if it doesn't

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2 years ago
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7 divided by 21=3
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