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Katen [24]
4 years ago
11

3x/4 +2/3=x/3 find the exact answer to the simplest form

Mathematics
1 answer:
slega [8]4 years ago
5 0
First, we need to get rid of the denominator. to do so, we will simply multiply all terms by 12 (which is the result of 3*4).
(3x/4)(12)+(2/3)(12)=(x/3)(12)
9x + 8 = 4x
then we will separate the variable in one side and solve to get its value
9x-4x = -8
5x = -8
x = -8/5
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Tell whether 12/8 and 3/6 form a proportion
Rus_ich [418]

Answer:

yes they do.... multiply 3/6 by 3 = 12/8

12/8 multiply by 1/3 = 3/6 or 1/2

Step-by-step explanation:

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6 0
3 years ago
84 2/3% to a fraction in lowest terms
RoseWind [281]

The evaluation of 84 2/3% to a fraction in its lowest term is \mathbf{ \dfrac{127}{150} }

<h3>What is a fraction?</h3>

Fractions are sections or parts of a whole. They are divided into two parts, the numerator, and the denominator.

From the given information, we are to convert a mixed fraction into its lowest terms. By doing that, we are to convert it to an improper fraction.

\mathbf{= 84 \dfrac{2}{3}\%}

\mathbf{= \dfrac{(84 \times 3)+2}{3} \%}

\mathbf{= \dfrac{254}{3} \%}

\mathbf{= \dfrac{254}{3} \times \dfrac{1}{100}}

\mathbf{= \dfrac{254}{300} }

Divide both the numerator and denominator by (2)

\mathbf{= \dfrac{127}{150} }

Learn more about fractions here:

brainly.com/question/78672

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3 0
2 years ago
At a 25% off everything sale, Bill purchased a new shirt. If c represents the original cost, write an expression for the sale pr
SIZIF [17.4K]

Answer:

this calls for the song

Step-by-step explanation:

.d.d.d..d.d..d.d..d.d.dd SALE! OOOOOOOH

7 0
3 years ago
Eric has two number cubes each labeled 1 to 6. Eric is going to conduct an experiment by tossing the cubes a total of 180 times.
Lera25 [3.4K]
The possible outcomes are:
1,1~~1,2~~1,3~~1,4~~1,5~~1,6
2,1~~2,2~~2,3~~2,4~~2,5~~2,6
3,1~~3,2~~3,3~~3,4~~3,5~~3,6
4,1~~4,2~~4,3~~4,4~~4,5~~4,6
5,1~~5,2~~5,3~~5,4~~5,5~~5,6
6,1~~6,2~~6,3~~6,4~~6,5~~6,6

The possible products are:
1~~2~~3~~4~~5~~6
2~~4~~6~~8~~10~~12
3~~6~~9~~12~~15~~18
4~~8~~12~~16~~20~~24
5~~10~~15~~20~~25~~30
6~~12~~18~~24~~30~~36


a) There are 36 outcomes.

b) 5/36 * 180 = 25

c) 6/36 * 180 = 30

d) 16/36 * 180 = 80

7 0
3 years ago
Show that log√7 + log√20 - log√14 = 1/2
Mademuasel [1]

Alright, lets get started.

log \sqrt{7}  + log \sqrt{20}  - log\sqrt{14} = \frac{1}{2}

We could write this square root as \frac{1}{2}

log7^{\frac{1}{2}} + log20^{\frac{1}{2}}- log14^{\frac{1}{2}}

Using the property of logm^{n } = n log (m)

\frac{1}{2}log 7 + \frac{1}{2} log 20 - \frac{1}{2} log14

\frac{1}{2} is common in each term, so

\frac{1}{2}(log7 + log 20 - log 14)

Using property of log m  + log n = log(mn)

\frac{1}{2}(log 140 - log 14)

Using property of log m - log n = log\frac{m}{n}

\frac{1}{2}log\frac{140}{14}

\frac{1}{2} log 10

log 10 value is 1 , hence

\frac{1}{2} * 1 = \frac{1}{2} : Answer

Hope it will help :)

6 0
3 years ago
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