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3 years ago

Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.

Mathematics

2 answers:

Inessa [10]3 years ago

4 0

Answer:

1/3 ig

Step-by-step explanation:

VARVARA [1.3K]3 years ago

4 0

Answer: In this problem you want to rewrite the proportion 7:21 to 3:9.

First, a proportion is a relation between two quantities, this is if the proportion of A to B is 7:21, then you can represent it in a equation as:

7*A = 21*B

If you divide by the same number in both sides of the equation, you dont affect the equality, then if i divide both sides by 7, the equation turns into:

7*A/7 = 21*B/7

A = (21/7)*B = 3*B

Now if i multiply both sides by 3.

3*A = 3*(3*B) = 9*B

3A = 9*B

so now the proportion is 3:9.

Also, if you want to see if two proportions are equivalent, you need to see that quotients are the equal.

In this case 21/7 = 3, and 9/3 = 3.

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Liam bought 5 7/8 pounds of steak. He used 2 1/16 pounds of steak for a cookout.

Ket [755]

The pounds of steak remaining after the cookout is 3 13/16 pounds

Given:

Total steaks bought = 5 7/8

Steaks used for cookout = 2 1/16

Total steaks remaining = Total steaks bought - Steaks used for cookout

= 5 7/8 - 2 1/16

= 47/8 - 33/16

= (94-33) / 16

= 61/16

= 3 13/16 pounds

Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds

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2 years ago

Are the ratios of 2 apples to 5 oranges and 6 apples to 14

kramer

Answer:

Step-by-step explanation:

Multiplying the 2 and the 5 by 3 will get you 6 and 14. 14 is not a factor of 5 making it incorrect.

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3 years ago

Read 2 more answers

If f(x) and f^-4(x) are inverse functions of each other and f(x) = 2x+5, what is f^-1(x)?

miss Akunina [59]

For this case we must find the inverse of the following function:

$f (x) = 2x + 5$

Then, we follow the steps:

We change $f (x)$ by y:

$y = 2x + 5$

We exchange the variables:

$x = 2y + 5$

We clear the variable "y":

$x-5 = 2y\\y = \frac {x-5} {2}$

We change y for $f^{-1}(x):$

$f^{-1}(x) = \frac {x-5} {2}$

Answer:

$f^{-1}(x) = \frac {x-5} {2}$

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3 years ago

Write an equation for the line that passes through (4,-6) and (-7,-6). Is the line parallel or perpendicular to the y-axis?

alisha [4.7K]

Answer:

y = -6, perpendicular

Step-by-step explanation:

You can use the points to find the slope of the line:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{-6-(-6)}{-7-4} =\frac{-6+6}{-7-4}=\frac{0}{-11}=0$

Then, using point-slope form, choose one set of coordinates to use for y1 and x1:

$y-y_{1}=m(x-x_{1})$

$y-(-6)=0(x-4)$

$y+6=0$

$y=-6$

Since the slope of the line is zero, it's a horizontal line. The y-axis is a vertical line, which means that the line is perpendicular to the y-axis.

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3 years ago

What is the equation of the perpendicular bisector of CB?

Olegator [25]

Answer:

equation for perpendicular bisector passing through CB is;

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