Which are equivalent ratios to 2:3?

Mathematics

2 answers:

Gwar [14]3 years ago

8 0

Answer:

8:12 6:9 4:6

Step-by-step explanation:

Divide each ratio by 2:3 and check if both numbers on either side of : are the same

For example:

8:12 divided by 2:3 = 4:4

liberstina [14]3 years ago

7 0

Answer:

8:12, 6:9, and 4:6

Step-by-step explanation:

Equivalent ratios are any ratios that represent the same when they are simplified. All the ratios above simplify to 2:3. When the 8 and 12 of 8:12 are both divided by 4, the result is 2:3. When the 6 and 9 in 6:9 are both divided by 3, the result is 2:3. When the 4 and 6 in 4:6 are both divided by 2, the result is 2:3. The ratios 10:16 and 9:12 cannot be simplified to 2:3, and therefore are not correct answers.

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3 years ago

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Use Euler’s method to estimate the value of y(20). Use a step size of ∆x = 5. Please fill out the remainder of the chart complet

crimeas [40]

Answer:

y(20)=14,322

Step-by-step explanation:

We need to solve the equation:

$dy/dx=0.4xy$

with initial point

$y(0) = 2$

with incerments

$\Delta x=h=5$

By Euler's method, we have:

$y(x+h)=y(x)+h*f'(x,y)$

We start with the initial point

$y(5)=y(0)+5*f'(0,2)=2+5*(0.4*0*2)=2$

And we continue until we reach the value for y(20)

$y(10)=y(5)+5*f'(5,2)=2+5*(0.4*5*2)=2+20=22\\\\\\y(15)=y(10)+5*f'(10,22)=22+5*(0.4*10*22)=22+440=462\\\\\\y(20)=y(15)+5*f'(15,462)=462+5*(0.4*15*462)=462+13,860\\\\y(20)=14,322$