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Aneli [31]
3 years ago
7

What is the LCD (Least Common Denominator) of 4 1/6 5 4/7?

Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0
Rewriting it as improper fractions if necessary:
25/6, 39/7

For the denominators (6, 7) the least common multiple (LCM) is 42.

Therefore, the least common denominator (LCD) is 42.

Rewriting the original as equivalent fractions with the LCD:
175/42, 234/42.


Here are the steps to follow:

<span> <span>Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).</span> <span>

Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator</span>

Then add (or subtract) the fractions, as we wish!

Hoped I helped!
</span>


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The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2,
Masja [62]

Answer:

y = 2x - 5

Step-by-step explanation:

The slope for a parallel line is the same as the slope in the given equation.  Therefore the slope of the new line will be 2    m= 2

use that slope and (2, -1) to find b

-1 = 2(2) + b

-1 = 4 + b

-5 = b

Plug m and b into y = mx + b

y = 2x - 5

8 0
3 years ago
Please help!!<br> Each pair of polygons is similar. Find the value of x.
Simora [160]

Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

===========================================================

Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

4x = 55

x = 55/4

x = 13.75

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

Explanations:

  • The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
  • In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
  • On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
7 0
3 years ago
Read 2 more answers
Solve the equation. Check your solution.
Varvara68 [4.7K]

Answer:

17/7

Step-by-step explanation:

2g+2(-8+2g)=1-g

2g-16+4g=1-g

6g-16=1-g

6g-(-g)-16=1

6g+g=1+16

7g=17

g=17/7

8 0
2 years ago
Approximate the square root of 44 to the nearest tenth
exis [7]
10x=44 x=44 so the square root of 44 is 44 im in 6th grade and i knew that wow

7 0
3 years ago
Read 2 more answers
Which equation is true when the value of x is -12
Sophie [7]

Answer:

Which equation is true when the value of x is -12    HERE YOU GO!!

Step-by-step explanation:

tricky ... let's see ...

I notice that if we subtract xy from both sides we get

7x + xy - xy = xy - xy + 21

then

7x = 21

and

x = 21/7 = 3

so there is only one value of x that satisfies the equation

x = 3

Going back to the original equation we see that any value of y will satisfy the original equation

we can see this by rearranging things:

7x + xy - xy = 21

here, I have performed the subtraction of xy on the right side as above, but have left the left side undone

(so we don't lose the presence of y)

Note that the above can also be written as

7x + (x - x)y = 21

or

7x + 0y =21

now, since anything times zero equals zero,

y may be any number.

Let's summarize:

1) x = 3

2) y = anything

looking back at the original question;

1) the equation is true for all ordered pairs

FALSE (only one x works, not all x)

2) there are no x and y pairs for which the equation is true.

FALSE (x=3, y=anything) makes it true, i.e. (3,1)  

3) For each value of x, there is one and only one value of y that makes the equation true,

FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one

4) for each value of y, there is one and only on value of x that makes the equation true.

TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3

ANSWER: STATEMENT 4 is CORRECT (TRUE)

3 0
2 years ago
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