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zaharov [31]
3 years ago
6

Two ratios that are equivalent to 3:12?

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
7 0
6:24 and 9:36. Not for sure if it’s correct but pretty sure:(
Anastasy [175]3 years ago
5 0

Explanation: First rewrite the ratio 3 : 12 as the fraction 3/12.

Next, we can find an equal ratio by

simply writing this fraction in lowest terms.

If we divide both the numerator and the denominator of 3/12

by their greatest common factor of 3, we get the equal ratio 1/4.

Now we can use 1/4 to find another equal ratio.

If we multiply both the numerator and denominator

of 1/4 by 2, we get the equal ratio 2/8.

So 3 : 12 is equal to 1 : 4 and 2 : 8.

Make sure to write your final answers as the same

form in the original problem.

You might be interested in
5 positive integers are arranged in ascending order, as follows:
Olegator [25]

Answer:

x = 16

Step-by-step explanation:

Since the numbers are in ascending order, x is the number with the highest value here.

From the arrangement, we can see that the median (the middle number) is the third number which is 9

The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median

We have this as;

(1 + 9 + 9 + 10 + x)/5 = 9

29 + x = 5(9)

29 + x = 45

x = 45-29

x = 16

5 0
3 years ago
Liam runs laps around a large grass field. each lap is 1/5
lilavasa [31]

Answer:

Step-by-step explanation:

2 miles=10 laps

3 miles=15 laps

5 miles=25 laps

Hope it helps

8 0
3 years ago
Solve by elimination: x-2y= -7 ; 4x+2y= 22
svp [43]
Apply the elimination method to the 2y terms since they are opposites & therefore can eliminate. Combine the rest of the terms, vertically.

x-2y= -7
4x+2y= 22
5x = 15
Divide both sides by 5.
x=3

Plug the x value to one of the original equations and solve for y.

4x + 2y = 22
4(3) + 2y = 22
12 + 2y = 22
Subtract by 12 on both sides.
2y = 10
Divide by 2 on both sides.
y = 5

Therefore, the solution to the system of equations shown is:

x=3 y=5

or

as an ordered pair (3, 5).
6 0
4 years ago
Find the zeros of y = x2 – 6x – 4 by completing the square.
katrin [286]

Answer:

The solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

Step-by-step explanation:

Given the function

y\:=\:x^2\:-\:6x\:-\:4

substitute y = 0 in the equation to determine the zeros

0\:=\:x^2\:-\:6x\:-\:4

Switch sides

x^2-6x-4=0

Add 4 to both sides

x^2-6x-4+4=0+4

Simplify

x^2-6x=4

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2

x^2-6x+\left(-3\right)^2=13

Apply perfect square formula:  (a-b)² = a²-2ab+b²

\left(x-3\right)^2=13

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-3=\sqrt{13}

Add 3 to both sides

x-3+3=\sqrt{13}+3

Simplify

x=\sqrt{13}+3

now solving

x-3=-\sqrt{13}

Add 3 to both sides

x-3+3=-\sqrt{13}+3

Simplify

x=-\sqrt{13}+3

Thus, the solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

4 0
3 years ago
3x -1 is subtracted from 4 x
madreJ [45]

Answer:

3x

Step-by-step explanation:

7 0
3 years ago
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