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pickupchik [31]
3 years ago
13

What’s the least common denominator for 1/6 and 7/8?

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Answer:

24

Step-by-step explanation:

Here's how we construct the LCD:

Factor the denominators 6 and 8:  6 = 2*3 and 8 = 2*2*2

The LCD involves 2*2*2 as well as 3:

LCD:  2*2*2*3 = 24.  Note that 24 is divisible by both 6 and 8.  There is no smaller LCD that is divisible by 6 and 8 both.

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Pls please help me ASAP!!!
oksian1 [2.3K]

Answer:

z = 0

Step-by-step explanation:

3 (z + 7) = 21

3z + 21 = 21

3z = 0

z = 0

8 0
2 years ago
Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.
Jet001 [13]

Answer:

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ;  x = \frac{2-(3)\sqrt{2}}{2}

Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

Now,

for the above relation to be true the  following condition must be followed:

Either  (x² − 6x +3) = 0 ............(1)

or

(2x² − 4x − 7) = 0 ..........(2)

now considering the equation (1)

(x² − 6x +3) = 0

the roots can be found out as:

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

for the equation ax² + bx + c = 0

thus,

the roots are

x = \frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times(3)}}{2\times(1)}

or

x = \frac{6\pm\sqrt{36-12}}{2}

or

x = \frac{6+\sqrt{24}}{2} and, x = x = \frac{6-\sqrt{24}}{2}

or

x = \frac{6+2\sqrt{6}}{2} and, x = x = \frac{6-2\sqrt{6}}{2}

or

x = 3 + √6 and x = 3 - √6

similarly for (2x² − 4x − 7) = 0.

we have

the roots are

x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}

or

x = \frac{4\pm\sqrt{16+56}}{4}

or

x = \frac{4+\sqrt{72}}{4} and, x = x = \frac{4-\sqrt{72}}{4}

or

x = \frac{4+\sqrt{2^2\times3^2\times2}}{2} and, x = x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}

or

x = \frac{4+(2\times3)\sqrt{2}}{2} and, x = x = \frac{4-(2\times3)\sqrt{2}}{4}

or

x = \frac{2+3\sqrt{2}}{2} and, x = \frac{2-(3)\sqrt{2}}{2}

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; x = \frac{2+3\sqrt{2}}{2} ; x = \frac{2-(3)\sqrt{2}}{2}

7 0
3 years ago
The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find
Rasek [7]

Answer:

All you would do is times 12 by .15 or 15% you get 1.8 then all you do is 12 minus 1.8 you get $10.20 that is the price of a discounted pizza

I hope this helps

4 0
3 years ago
Read 2 more answers
Solve the system using elimination -2x + y = 11 2x + 3y= 17
olasank [31]

Answer:

point form: (-2,7)

equation form: X = -2, Y = 7

6 0
3 years ago
Kevin and Randy Muise have a jar containing 59 coins, all of which are either quarters or nickels. the total value of the coins
valkas [14]

Answer:

there are 28 quarters and 13 nickels

Step-by-step explanation:

6 0
3 years ago
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