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pentagon [3]
3 years ago
8

Solve 6/r = 2/3 RATIOS AND PROPORTIONS

Mathematics
2 answers:
ohaa [14]3 years ago
7 0

Answer:

r=9

Step-by-step explanation:

6       2

---- = ------

r         3

We can use cross products to solve

6 * 3 = 2 * r

18 = 2r

Divide by 2

18/2 = 2r/2

9 = r

Fed [463]3 years ago
6 0

\bf{Hey\ there!}

\bold{\frac{6}{r}=\frac{2}{3}}

\text{First, you have to cross multiply}

\bullet{\ \bold{numerator\times denminator}}

\bullet{ \ \bold{denominator\times numerator}}

\bold{6\times3=18}

\bold{2\times r=2r}

\text{Your equation becomes: 2r = 18}

\text{\underline{DIVIDE}\ by 2 on each of your sides!}

\bold{\frac{2r}{2}=\frac{18}{2}}

\bf{Cancel:\frac{2r}{2}\ because\ it\ gives\ us the result\ of\ 1}

\bf{Keep:\frac{18}{2}\ because\ it\ gives\ us the\ value\ of\ r}

\bf{18\div2=9}

\boxed{\boxed{\bold{Answer:x=9}}} \checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

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Eduardwww [97]

Answer:

christian

Step-by-step explanation:

Whose results are probably the most trustworthy?

A. Dylan's

B. Alexis's

C. Hannah's

D. Christian's

3 0
3 years ago
15. USE EFFICIENT METHODS Without
-Dominant- [34]

Answer:

5^-7, 5^0, 5^4

Step-by-step explanation:

Any time a number has a negative exponent that means that the resulting number will be a fraction (ex. 2^-2=\frac{1}{4}). Therefore this number is the smallest number.

Anytime a number has an exponent of 0, it will always equal 1

8 0
1 year ago
Charles has read 180 pages of a book this is 3/4 of the total number of pages in the book If P represents the number of pages in
KengaRu [80]
The answer is 240 :3

60+60= 120
120+60 = 180 
and 60 more would be 240 

60 fours would be 240
3  60's  would be 180.  So your answer is 240
4 0
3 years ago
Read 2 more answers
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labwork [276]
The correct answer would be C

Hope this helped
8 0
3 years ago
QUICK EASY 25 POINTS!!
MAVERICK [17]

Answer:

1. leave the radical symbol and don't try to convert it to a decimal form

2. The approximated value differs from the exact solution and doesn't give a true equation.

3. Depending on the case, if she needs a mathematical answer, the exact value should be used, but for more practical applications, the rounded decimal form would be more usable.

Step-by-step explanation:

The step by step solution to the equation:

4x^3=756\\x^3=\frac{756}{4} =189\\x=\sqrt[3]{189} \\x=\sqrt[3]{3^3*7} \\x=3*\sqrt[3]{7}

1.- Exact solution means that if in the final step when solving for x the value of  x^3 is not a perfect cube, one needs to leave it indicated as a radical expression (with the radical symbol).

in our case, the cubic root of 189 is not a perfect cube. The factor form of 189 is: 3^3*7, so there is a perfect cube factor (3^3), but the other factor (7) is a prime number. Therefore 3 can get out of the root, while 7 stays inside.

2.- The equation was solved above, in exact form. Now to solve it giving a decimal approximation, we use a calculator to find the cubic root of 7, which is an irrational number with infinite number of decimals, the first of which we type here: \sqrt[3]{7} = 1.91293118...

Therefore, the decimal approximation to the solving for x would be:

x=3*\sqrt[3]{7}=3*1,91293118...=5.73879...=5.74

Where we rounded to two decimals as requested.

When we replace the exact answer in the original expression, we get a perfect equality:

4*x^3=756\\4* (3\sqrt[3]{7} )^3=756\\4*3^3*(\sqrt[3]{7} )^3=756\\4*27*7=756\\\\756=756

While if we use the approximate answer, we get:

4*x^3=756\\\\4*(5.74)^3=756\\\\4*189.119224=756\\756.476896=756

which is NOT a true equality.

3.- I would stick with the idea of showing the exact answer as answer to the mathematical equation. but for a practical case (for example she needs to by some material as a result of her equation solving, it would be more practical to take the numerical approximation to the store, instead of a cubic root of a number.

7 0
3 years ago
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