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3 years ago

Express the ratio in its simplest form 1\4:1\8:1\16

Mathematics

1 answer:

HACTEHA [7]3 years ago

6 0

Answer:

4 : 2: 1

Step-by-step explanation:

$\frac{1}{4} : \frac{1}{8} : \frac{1}{16} \\ \\ multiplying \: throughout \: by \: 16 \\ \\ 16 \times \frac{1}{4} : \:16 \times \frac{1}{8} : \: 16 \times \frac{1}{16} \\ \\ 4 : 2 : 1$

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What is the expression for the calculation double 5 and then multiply by 3?

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(2 x 5) x 3

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3 years ago

Eight more than twice a number is equal to ten less than five times the number. Let n represent the number. Write an equation th

solniwko [45]

The answer is 8+2n=5n-10

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3 years ago

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Im learning about Recursive and Explicit in Pre-Calc, and it says to use the rule to write the first three terms of each sequenc

Tems11 [23]

Hello,

4. you have sequences defined by the first term and a recursive relation.

$a_1=3\\\\a_n=2a_{n-1} \ \ \text{ for n}> 1$

Take n = 2, it gives

$a_2=2a_1$ , right?

But you know $a_1=3$

so $a_2=2a_1=2*3=6$

This is the second term. You are asked to find the first three terms.

Now, let's take n = 3

$a_3=2a_2=2*6=12$

So the first three terms are 3, 6, 12.

$a_1=12\\\\a_2=\dfrac{1}{2}a_1+1=\dfrac{12}{2}+1=6+1=7 \\ \\a_3=\dfrac{1}{2}a_2+1=\dfrac{7}{2}+1=\dfrac{9}{2}$

$a_1=10\\ \\a_2=-3a_1=-3*10=-30\\\\a_3=-3a_2=-3*(-30)=90$

10.

$a_1=2\\\\a_2=-1\\\\a_3=a_2+a_1=-1+2=1\\\\a_4=a_3+a_2=1-1=0$

Do not hesitate if you have any question.

Thank you

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4 years ago

Tom was saving $3000 for a trip. He initially deposited $200 in a savings account and then deposited a fixed amount every month

sdas [7]

Initial is 200
Amount deposited each month = d
Current equation is '200 + 5d'
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He adds this to what he has, do 200 + 5d + 600 +15d, or simply
800 + 20d
We know that this amount is 300 more than the amount be needs (3000), so 800 + 20d = 3000 + 300, or
800 + 20d = 3300
Subtract 800 from both sides, to get
20d = 2500
Divide both sides by 20 to isolate d, so you end up with
d = 125
He deposits $125 per month

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3 years ago

If two cards are drawn from a regular shuffled deck, what is the probability that both cards will be diamonds?

Nastasia [14]

Answer: The first card is a diamond and the second card is a heart. Both cards are hearts. Let H denote the event that a heart is drawn; let D denote the event that a diamond is drawn. The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw

Step-by-step explanation:

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3 years ago

Express the ratio in its simplest form 1\4:1\8:1\16​

Express the ratio in its simplest form 1\4:1\8:1\16