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3 years ago

Enter the value of p so the expression 5/6 - 1/3n equivalent to p(5-2n)

1 answer:

3 0

$\frac{5}{6}- \frac{1}{3} n$
p(5-2n)=5p-2np
$5p=\frac{5}{6}$
$p=\frac{1}{6}$

$-2np=-2n\frac{1}{6}=\frac{-2n}{6}=-\frac{1}{3}n$

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What’s equivalent to 1/3 with the denominator of 6

podryga [215]

Answer:

2/6

Step-by-step explanation:

Ok, so if the fraction is 1/3 and the denominator needs to be 6, then what you do is figure out what would turn 3 into 6. So, 3 x 2 would equal 6 and then you would have to also keep that two and multiply that 2 with the 1 and you would get 2. That would lead to the numerator being 2 and the denominator being 6, or 2/6.

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3 years ago

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The fifth term of an arithmetic sequence is 23 and the 12th term is 72? Determine the first three terms of the sequence and the

Arisa [49]

Answer:

the first term is a1

the distance between the numbers is d

we have:

a5 = a1 + 4d = 23

a12 = a1 + 11d = 72

so we have the equation:

a1 + 4d = 23

a1 + 11d = 72

=> a1 = -5

d = 7

=> an = -5 + 7(n - 1) = 7n - 12

with an = 7n - 12

=> a2 = 2

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so the first three terms is -5; 2; 9

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3 years ago

4. 46 is what percent of 69?

sergij07 [2.7K]

Answer:

66%(technically 0.66 repeating)

Step-by-step explanation:

We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage <u>times</u> 69 equals 46:

$percentage*69 = 46$

Now that we formed this equation, we can solve for the percentage as if it was x.

First lets simplfy:

$percentage*69 = 46 -- > 69percentage = 46$

Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:

$percentage = \frac{46}{69}$

$percentage=0.66$

Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):

$percentage = 0.66*100$

percentage = 66%

Hope this helps! :3

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2 years ago

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Marat540 [252]

Answer:

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Step-by-step explanation:

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3 years ago

An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15

NeTakaya

Answer:

D. 22,417 feet

Step-by-step explanation:

Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.

Hypotenuse = x and Opposite = 15,000feet

According to SOH;

$sin 42^0 = \frac{Opposite}{Hypotenuse} \\\\Sin42^0 = \frac{15000}{x}\\ \\x = \frac{15000}{sin42^0}\\\\ \\$

$x = \frac{15000}{ 0.6691} \\\\x = 22,417 feet$

Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet

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3 years ago