All categories

2 years ago

The HCF of two numbers is 16 and their product is 3072. Find their LCM

Mathematics

1 answer:

nlexa [21]2 years ago

4 0

Answer:

192

Step-by-step explanation:

16 × LCM = 3072

LCM = 3072 ÷ 16

LCM = 192

You might be interested in

<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=

fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

$\log_2(x-2) - \log_2(x) = -1$

Use the rule of logarithms

$\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)$

To rewrite the equation as

$\log_2\left(\dfrac{x-2}{x}\right) = -1$

Evaluate 2 to the power of each side:

$\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}$

Multiply both sides by 2x:

$2(x-2) = x \iff 2x-4 = x \iff x = 4$

6 0

2 years ago

Read 2 more answers

Solve for b. 7 b 12 b= ✓ [?] Pythagorean Theorem: a2 + b2 = c2 Enter

fomenos

Answer: $b=\sqrt{95}$

Step-by-step explanation:

To solve for b, we want to use the Pythagorean Theorem as given.

b and 7 are the legs, and 12 is the hypotenuse.

$7^2+b^2=12^2$ [exponent]

$49+b^2=144$ [subtract both sides by 49]

$b^2=95$ [square root both sides]

$b=\sqrt{95}$

Now we know $b=\sqrt{95}$ .

6 0

2 years ago

10.1 and 10.15 witch one is greater

RUDIKE [14]

Answer:

10.15

Step-by-step explanation:

Subtract:

10.15 - 10.1 = 0.05

10.15 is greater than 10.1 by 0.05

6 0

2 years ago

Read 2 more answers

0.056 divided by -0.004

riadik2000 [5.3K]

Answer: -14

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

4 people can dig a hole in 3 hours. How long does it take 9 people.

ad-work [718]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).

$\dfrac{1}{4}x=3\qquad \implies \qquad x = 12\quad \text{It takes 12 hours for 1 person}\\\\\\\dfrac{12\ \text{(for 1 person)}}{9\ \text{(people)}}\quad =1\dfrac{1}{3}\quad =\large\boxed{1\ hour\ 20\ minutes}$

6 0

2 years ago

Read 2 more answers