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2 years ago

Find the least common denominator (LCD) of 7/9 and 5/6

Mathematics

1 answer:

AnnZ [28]2 years ago

8 0

Answer: 18

Step-by-step explanation:

The least common denominator of $\frac{7}{9}$ and $\frac{5}{6}$ is going to be a multiple of 9 and 6. Let us list them out:

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60

You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

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What is the slope of the graph of 14x + 7y = –9?

Vera_Pavlovna [14]

We will put ur equation in y = mx + b form, and the slope will be in the m position.

14x + 7y = -9
7y = -14x - 9
y = (-14/7)x - 9/7
y = -2x - 9/7

y = mx + b
y = -2x + (-9/7)....as u can see, the -2 is in the m position and is therefore the slope.

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3 years ago

Read 2 more answers

12r+5+3r-5 Need you help

iren [92.7K]

Answer:

15r

Step-by-step explanation:

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3 years ago

Solve the system by graphing Y=x+2 X=-3

Ainat [17]

the answer will be y=-1

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3 years ago

I don’t get it I need help solving this math problem I

harkovskaia [24]

Answer:

Step-by-step explanation:

you know the total angle is 180° from A to D

and you know that ∠BEC is 90°

also you are told that ∠CED is 18°

and that ∠AEB is 4x°

so just put that all together

180=90 + 18 +4x

now solve for X

180-90-18=4x

72=4x

18 = x

so now you know X

now solve ∠AEB

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∠AEB= 72°

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3 years ago

A light bulb has a lifetime X that is exponentially distributed with a mean 340 hours. Find the probability that the bulb lifeti

LUCKY_DIMON [66]

Answer:

0.7026

Step-by-step explanation:

Let X denote the lifetime of light bulb. Given $X \sim Exp(\lambda)$ where the mean is $E(X) = 340 =\frac{1}{\lambda} \implies \lambda = \frac{1}{340} = 0.00294$ .

Recall that,

$\displaystyle P(X>x) = 1 - \int_0^x e^{-\lambda x} = 1 - (1 - e^{-\lambda x} = e^{-\lambda x}$

$\displaystyle P(X>220 | X>100) = \frac{P(X>220,X>100)}{P(X>100)} = \frac{e^{-\lambda \times 220}}{e^{-\lambda \times 100}} = \frac{0.5236}{0.7452} = 0.7026$

7 0

3 years ago