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2 years ago

What is the LCD of 1/3 and 3/4 ?

Mathematics

1 answer:

RideAnS [48]2 years ago

6 0

D. 12
Pretty much the smallest number both denominators can go in.
So the multiples of
4: 4,8,12
3:3,6,9,12

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PLEASE HELP!!!!!!!!!!!!

bixtya [17]

Answer: Numbers of servings: 10 and 13, Liters of punch: 14

Step-by-step explanation:

Number of servings - 6 = Liters of punch.

4 0

2 years ago

Add and subtract rational numbers without common denominators. Show work! 1. 7/4 - 3/2 - 2/5 = 2. - 5/16 + 3/4 + 1/8 = 3. 3/4 -

alukav5142 [94]

$\dfrac{7}{4} - \dfrac{3}{2} - \dfrac{2}{5}$

$= \dfrac{7 \times 5}{4 \times 5} - \dfrac{3 \times 10}{2 \times 10} - \dfrac{2 \times 4}{5 \times 4}$

$= \dfrac{35}{20} - \dfrac{30}{20} - \dfrac{8}{20}$

$= \dfrac{35-30-8}{20}$

$= \dfrac{3}{20}$

---------------------------------------------------------------

$-\dfrac{5}{16} + \dfrac{3}{4} + \dfrac{1}{8}$

$= -\dfrac{5}{16} + \dfrac{3 \times 4}{4 \times 4} + \dfrac{1 \times 2}{8 \times 2}$

$= -\dfrac{5}{16} + \dfrac{12}{16} + \dfrac{2}{16}$

$= \dfrac{-5+ 12 + 2}{16}$

$= \dfrac{9}{16}$

---------------------------------------------------------------

$\dfrac{3}{4} - \dfrac{1}{3} - \dfrac{7}{12}$

$= \dfrac{3 \times 3}{4 \times 3} - \dfrac{1 \times 4}{3 \times 4} - \dfrac{7}{12}$

$= \dfrac{9}{12} - \dfrac{4}{12} - \dfrac{7}{12}$

$= \dfrac{9 - 4 - 7}{12}$

$= -\dfrac{2}{12}$

$= -\dfrac{1}{6}$

---------------------------------------------------------------

$\dfrac{2}{9} - \dfrac{2}{12} - \dfrac{2}{3}$

$= \dfrac{2}{9} - \dfrac{1}{6} - \dfrac{2}{3}$

$= \dfrac{2 \times 2}{9 \times 2} - \dfrac{1 \times 3}{6 \times 3} - \dfrac{2 \times 6}{3 \times 6}$

$= \dfrac{4}{18} - \dfrac{3}{18} - \dfrac{12}{18}$

$= \dfrac{4 - 3 - 12}{18}$

$= - \dfrac{11}{18}$

6 0

2 years ago

Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2

ElenaW [278]

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

$x = 2( - 3 - 0) \\ x = 2( - 3) \\ x = - 6$

This would be the y coordinate of F:

$y = 2( - 2 - 0) \\ y = 2( - 2) \\ y = - 4$

Thus the coordinates of F is (-6,-4)

4 0

2 years ago

What represents the opposite of the opposite of 8 1/4

satela [25.4K]

The answer would be 8 1/4 because if you have the opposite of the opposite you get what you started with. For example the opposite of night is day then the opposite of day is night so you end up with what you started with.

8 0

3 years ago

Which number line represents x2=16

Ivenika [448]

Answer:

Step-by-step explanation:

Well 2x=16 is the same as x=8 when you divide by 2. So the dot should be on 8.

6 0

2 years ago

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