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3 years ago

Find the least common denominator (LCD) of 5/8 and 1/4

Mathematics

2 answers:

Effectus [21]3 years ago

3 0

Answer:

Step-by-step explanation:

1. 1/4 × 2/2 = 2/8 (denominator is 8)

2. 5/8 × 1 = 5/8 (denominator is 8)

Therefore, the common denominator is 8.

Gnesinka [82]3 years ago

3 0

The least common denominator is 8.
5/8=5/8 x 1/1=5/8
1/4=1/4 X 2/2 = 2/8

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Complete the explanation of how you would shade a model to show 2 x 2/3

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

3 0

3 years ago

Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

3 years ago

Dying for help please failing mathh

JulsSmile [24]

You might want to stick to at most five questions at once, makes it easier for the rest of us. :)

17. T has a vertical line of symmetry (along the center line).
18. Z looks the same if you turn it halfway around.
19. The passes total to 150°, which is a little less than 180°, so I estimate it would be in front of Kai.
20. Left is the -x direction. Up is the +y direction. this is (x-6, y+4)
21. Every dilation has a center (where it's dilated from) and a scale factor (how much it's dilated).
22. It must be A, because it's the only one where the number of moves adds up to 16.
23. It can be determined to be B just by tracking where point C would end up through the transformation.
24. A 180° rotation flips the signs on both components to give you (-1, 6).
25. Right is the +x direction. Down is the -y direction. (x+3, y-5)
26. This is a reflection.

Need clarification on anything?

4 0

3 years ago

Read 2 more answers

Seb bought 2 apples and 3 pears.

ryzh [129]

2a + 3p = 1.59

a = 0.24

Plug it in our equation:

2(0.24) + 3p = 1.59

Multiply:

0.48 + 3p = 1.59

Subtract 0.48 to both sides:

3p = 1.11

Divide 3 to both sides:

p = 0.37

So one pair costs £0.37

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3 years ago

For the bake sale, connie baked 144 cookies. Esther bakes 49 more cookies than Connie.

den301095 [7]

Answer:

it is 198 i beleive

Step-by-step explanation: because there's 144 plus 49 so that makes 198

7 0

3 years ago