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Lelu [443]
3 years ago
5

Write two different mixed numbers where the LCD (lowest common denominator) is 12

Mathematics
1 answer:
Mars2501 [29]3 years ago
5 0

Two mixed numbers as \frac{5}{6} and \frac{5}{12} the least common denominator (LCD) is 12.

<u>Step-by-step explanation:</u>

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.

<u>Steps to find the LCD of fractions, integers and mixed numbers:</u>

  • Convert integers and mixed numbers to improper fractions
  • Find the LCD of all the fractions
  • Rewrite fractions as equivalent fractions using the LCD

Let's us have two mixed numbers as \frac{5}{6} and \frac{5}{12}.

Equivalent Fractions with the LCD

\frac{5}{6} = \frac{10}{12}

\frac{5}{12} = \frac{5}{12}

For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12.

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The equation of line / is y=3x/a +5, where a is a positive constant. If the value of a in this equation is doubled, then the res
Anettt [7]

The resulting equation will represent a line whose slope is 1/2 times the slope of the line

<h3>How to determine the slope of the new line?</h3>

The equation of the line is given as:

y = 3x/a + 5

The constant a is a positive constant.

So, when the value of a in the equation is doubled, we have:

y = 3x/2a + 5

A linear equation is represented as

y = mx + b

Where m represents the slope.

So, we have:

m1 = 3/a

m2 = 3/2a

Substitute m1 = 3/a in m2 = 3/2a

m2 = 1/2 * m1

Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line

Read more about linear equation at:

brainly.com/question/14323743

#SPJ1

6 0
2 years ago
(7a^3 -2a-2)+(-5a+3)
atroni [7]

Answer:

7a  3  −7a+1

Step-by-step explanation: I hope this help.

STEP

1

:

Equation at the end of step 1

 ((7a3 -  2a) -  2) +  (3 - 5a)

STEP

2

:

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  7  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,7

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00      

     -1       7        -0.14        1.98      

     1       1        1.00        1.00      

     1       7        0.14        0.02      

Polynomial Roots Calculator found no rational roots

Final result :

 7a3 - 7a + 1

6 0
3 years ago
Read 2 more answers
The remainder after diving x^4+3x^3-8x^2+5x-9 by x+5 is ____.
raketka [301]

Use the polynomial remainder theorem. It says that a polynomial f(x) has remainder f(c) upon division by x-c.

Here we have

f(x)=x^4+3x^3-8x^2+5x-9

and c=-5, so the remainder is

f(-5)=(-5)^4+3(-5)^3-8(-5)^2+5(-5)-9=\boxed{16}

6 0
3 years ago
How could you convert a rate of 18,000 mph to miles per second
Dmitrij [34]
Hi there,

(18000 miles / 1 hour)(1 hour / 60 minutes)(1 minute / 60 seconds) adds up to <span>18000 miles / 3600 seconds, which then adds up to </span><span>5 miles / 1 second...
</span>
you should get a total of 5 miles per second

I hope I helped :)
6 0
3 years ago
Can someone pleaseeee help and if you’re correct I’ll give u brainlist!
Deffense [45]

Answer:

i would say no

Step-by-step explanation:

i would say no because quadrilateral FGIH is equal to 120 and quadrilateral SRTQ is equal to 134 and also their areas are indifferent FGIH's being 875 and SRTQ's being 1120

please let me know if this was wrong

hope this helps :) have a nice day !!

3 0
2 years ago
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