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3 years ago

Combining like terms with rational coefficients 7/8m+9/10-2m-3/5

Mathematics

1 answer:

nikklg [1K]3 years ago

7 0

Answer:

Ah yes, one of my favorite topics.

Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing $\frac{7}{8}m-2m$ first. Afterwards, do $\frac{9}{10}-\frac{3}{5}$

Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). $\frac{9}{10} -\frac{6}{10}=\frac{3}{10}$

Step 3: 1.125+3/10

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Four baskets contain scented soaps. The baskets contain 9, 9, 11, and 15 soaps. If the soaps are divided evenly among the

Elis [28]

Answer:

Step-by-step explanation:

9+9+11+15 = 44

44/4 = 11!

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3 years ago

Read 2 more answers

8, 2, 0, 2, 8, 18<br> What are the next three numbers in the sequence?<br> What is the pattern?

Tom [10]

Answer:

22,40,62

Step-by-step explanation:

0+2=2 2+6=8 8+10=18

2 6 10 14 18 22 four in between

so you will add these numbers each time

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3 years ago

What does i^739 equal? explain how you found your answer.

Sophie [7]

<h3>Answer: -i</h3>

========================================================

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

i^0 = 1
i^1 = i
i^2 = -1
i^3 = i*i^2 = i*(-1) = -i
i^4 = (i^2)^2 = (-1)^2 = 1

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

-------------

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

<h3>-i is the final answer</h3>

--------------

Side notes:

if i^a = i^b, then a-b is a multiple of 4
Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.

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3 years ago

Evaluate. Express your answer in scientific notation.<br> 4.85 x 103 + 77, 300

lara [203]

7.779955 × 10 to the 4th power.

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3 years ago

Write a real-world problem that is solved by an equation and then solve (show work).

ololo11 [35]

A company is selling books. It has to pay $500 to start printing the books, and once they have done that, the books sell at $14.99 each. How many books must they sell to make a profit?

First we would model an equation. X will be the amount of books sold, and Y will be profits (in dollars obv). They had to pay $500 before they could start selling, so we must account for that too.

This equation would be $y=14.99x-500$ because for every book sold, X increases by 1, increasing Y by 14.99

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3 years ago