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4 years ago

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

Mathematics

2 answers:

Inessa [10]4 years ago

4 0

Answer:

1/3 ig

Step-by-step explanation:

VARVARA [1.3K]4 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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24+3x=3x+3(7-1) What does x equal? Please show me how to do it I don't want the answer. (Well I do but show me how to get it als

balandron [24]

24 + 3x = 3x + 3(7 - 1)

Eliminate the parentheses: 24 + 3x = 3x + 3(6)

24 + 3x = 3x + 18

Subtract 3x from each side: 24 = 18

Look at that for a second. Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.

That's just another way to say: "The equation has NO solution."

5 0

3 years ago

X² - x - 6 = 0 Solutions?

Ira Lisetskai [31]

Factors of -6 that add up to -1:

(x - 3)(x + 2)

Set them to 0 and solve for x

x = 3 

x = -2

5 0

3 years ago

What property is shown in the equation? –53 ÷ 1 = –53

Vinil7 [7]

B. Identity property of division. Everything divided by 1 is itself.

4 0

4 years ago

The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. Wh

umka21 [38]

Answer:

The average distance from venus to mars is 2.5x10⁸ kilometers.

Step-by-step explanation:

We know:

d₁: average distance between venus and earth = 2.5x10⁷ km

d₂: average distance between mars and earth = 2.25x10⁸ km

We can find the average distance from venus to mars as follows:

$d_{t} = d_{1} + d_{2}$

First, we need to equal the base power 10 so we can sum both distances:

$2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km$

Now, average distance:

$d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km$

Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.

I hope it helps you!

6 0

3 years ago

2n-7/3 = 15 solve for n

WITCHER [35]

$2n- \frac{7}{3} =15$
$2n- \frac{7}{3} =15$ common denominator is 3
$3(2n- \frac{7}{3} )=3*15$ distributhing 3 through parantheses
$3*2n- \frac{3*7}{3}=3*15$
$3*2n-7=3*15$
$6n-7=45$ add7
$6n=45+7$
$6n=52$ divide by 6
$n= \frac{52}{6}$ simplify
$n=8 \frac{2}{3}$ ⇒ $\frac{26}{3}$

5 0

3 years ago