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3 years ago

Please help me and show how you worked out.

1 answer:

5 0

Answer: The sequence rule is division. 80 divided by 2 = 40 divided by 2 = 20 divided by 2 = 10 and 10 / 2 equals 5.

Step-by-step explanation:

The sequence is divided by 2 because when you divided 80 by 2, it equals the second pattern in the sequence, 40.

I worked it out by dividing every number by 2 and getting the same numbers in the pattern, I checked by doing the opposite, 40 x 2 = 80.

Hope this helps!

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The quotient of 2 and t

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Answer: 2t/12

Step-by-step explanation:The quotient of is the result of dividing two terms

The first term is - Twice a number

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3 years ago

One half of the number n increased by 10 is the

gtnhenbr [62]

Answer:

Step-by-step explanation:

$\frac{n}{2} +10=2n-4$

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3 years ago

If Rachel now owes a quarter of the money that she once owed, what could you do to find how much money she owes now?

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3 years ago

Read 2 more answers

If x^2 = 16(5), then x =

Bogdan [553]

Answer:

$4\sqrt{5}$ or 8.944

Step-by-step explanation:

$x^{2} = 16(5)$

Simplify

$x^{2} =80$

Square root both sides to get x by itself

$\sqrt{x^{2} } =\sqrt{80}$

$4\sqrt{5}$ or 8.944

6 0

3 years ago

One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the

Kipish [7]

Let's call the two numbers $s$ and $l$ .

Given these variables, we can say: $s = l - 14$ , based on the first sentence in the problem.

Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

$\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}$

To solve, we can simply substitute $l -14$ in for $s$ in the second equation and solve.

$\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}$

Set up

$\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}$

Get terms on the left side to a common denominator for easier addition

$\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}$

Simplify

$4(6l - 70) = l(l - 14)$

Cross multiplication ( $\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc$ )

$24l - 280 = l^2 - 14l$

Simplify

$l^2 - 38l + 280 = 0$

Subtract $24l - 280$ from both sides of the equation

$(l - 10)(l - 28) = 0$

Factor left side of the equation

$l = 10, 28$

Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

$s = 10 - 14 = -4$ ,

Since $s$ is not positive in this case, $l = 10$ is not a solution.

Thus, $l = 28$ is our only solution. In this case,

$s = 28 - 14 = 14$ ,

which means that the smaller number is 14 and the larger number is 28.

5 0

3 years ago