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Andre45 [30]
3 years ago
10

Solve the equation given in Exercise 15 with and without using the LCD of the fractions. Are your answers the same?

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
Without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11

with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11

Yes, the answers are the same :)

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Use +,-,x, ÷ and parentheses to connect the numbers 1,3,5 and 7 such that the result is 24.
Alborosie

Answer: (3-1)×(7+5)

Step-by-step explanation:

There are mainly several ways to get 24

- 2×12

- 3×8

- 4×6

- add all of them together

- complicated ones can include large numbers minus another large number

Use try-check-revise, to find the way that fits 24

For this question, we used 2×12, which results in (3-1)×(7+5)

Hope this helps!! :)

Please let me know if you have any questions.

4 0
2 years ago
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given the midpoint of segment KL is M (1, -1) and L (8 ,-7) what are the coordinates of the other endpoint K
andrey2020 [161]

The answer is (-6, 5) for K.

In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 8)/2 = 1

Kx + 8 = 2

Kx = -6

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -7)/2 = -1

Ky + -7 = -2

Ky = 5

This gives us the final point of (-6, 5)

7 0
2 years ago
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Find P(x)=... polynomial
Aneli [31]

Answer: D) P(x) = -23

Step-by-step explanation:

Substitute 2 for x:

1 - 2(2)^2-3(2)^2+4(2)

Exponent

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Multiply

1-8-24+8

Combine like terms

-23

<em>Hope it helps <3</em>

3 0
2 years ago
Does anyone know how to solve this?
KATRIN_1 [288]

Answer:

<30,-20>

Step-by-step explanation:

4u + 2v

4< 6,-4> + 2< 3,-2>

<24,-16> + < 6,-4>

<30,-20>

4 0
2 years ago
Please Help Fast!! 15 Point and brainiest if correct
iragen [17]

If a < b, then dividing both sides by a positive number will not flip the inequality sign. The inequality flips if you divide both sides by a negative number.

So if a < b, then a/3 < b/3 as well.

<h3>Answer: Less than sign (first choice)</h3>
6 0
3 years ago
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