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3 years ago

Is the ratio 4.2:1.5 proportional to the ratio12.6:4.5? Explain.

Mathematics

2 answers:

fenix001 [56]3 years ago

7 0

Answer:

Yes, the ratio is proportional

Step-by-step explanation:

given 4.2 : 1.5 =? 12.6 : 4.5 is it proportional

it must follow the means extremes property

$\frac{a}{b}$ = $\frac{c}{d}$

a*d = b*c, so let's plug in the values

$\frac{4.2}{1.5}$ =? $\frac{12.4}{4.5}$

(4.2)*(4.5) =? (1.5)*(12.6)

18.9 = 18.9 which is true; therefore the ratio is proportional

mote1985 [20]3 years ago

6 0

Answer:

Step-by-step explanation:

All the numbers have to be multiplied by the same amount for it to be proportional

A proportional amount to 4:2:1:5 would be 12:6:3:15

They have all been multiplied by the same number 3

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Find the mean of the following data set. 1,1,2,4,6,7,7,8,9,10,12,13,17,17,18

lisabon 2012 [21]

Answer:

8.8

Step-by-step explanation:

Add all numbers together to get 132

All number of numbers together to get 15

Divide the sum of all numbers by the number of numbers:

132/15

8.8

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6 0

2 years ago

Find all the zeroes of the equation(with simple steps).

uysha [10]

Answer-

The zeros are, $5,\ -5,\ 4i,\ -4i$

Solution-

$\Rightarrow -3x^4+27x^2+1200=0$

$\Rightarrow -3(x^2)^2+27(x^2)+1200=0$

Here,

a = -3, b = 27, c = 1200

So,

$x^2=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$=\dfrac{-27\pm \sqrt{-27^2-4\cdot (-3)\cdot 1200}}{2\cdot (-3)}$

$=\dfrac{-27\pm \sqrt{729+14400}}{-6}$

$=\dfrac{-27\pm 123}{-6}$

$=\dfrac{-27+123}{-6},\ \dfrac{-27- 123}{-6}$

$=\dfrac{96}{-6},\ \dfrac{-150}{-6}$

$=-16,\ 25$

So,

$\Rightarrow x^2=25,\ -16$

$\Rightarrow x=\sqrt{25},\ \sqrt{-16}$

$\Rightarrow x=5,\ -5,\ 4i,\ -4i$

8 0

3 years ago

LU 1 - 2x + 3 < 5 and - 4x – 3 > 9

Lynna [10]

Answer: x>-1

x<-3

Step-by-step explanation:

$-2x+3$

subtract 3 on both sides

$-2x$

divide -2 on both sides

$x>-1$

The sign changed because I divided by a negative.

$-4x-3>9$

add 3 on both sides

$-4x>12$

multiply -1 on both sides

$4x$

divide 4 on both sides

$x$

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2 years ago

Read 2 more answers

How many times bigger is 6.4*10^9 than 1.3*10^9

sukhopar [10]

Answer:

at least four times bigger

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2 years ago

Ian is working two summer jobs, making $22 per hour tutoring and making $8 per hour landscaping. In a given week, he can work a

geniusboy [140]

Answer:

worked 4 hours tutoring = 4 hours * $25 = $100 earned

$130 needed - $100 earned = $30 needed

$30/ $10 hour babysitting = 3 hours

as for the number of hours, 4 hrs tutor + 3 hrs babysit = 7 hrs, 7 hours < 10 hours its within the requirements

Minimum # of hours babysitting = 3 hours

Step-by-step explanation:

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3 years ago