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babunello [35]
3 years ago
5

What are the rules to solving equations by multiplying or dividing?

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

In order to move a number that is multiplied or divided by the variable, make sure to inverse both sides! That means, if the number is multiplied, you divide it by both sides. If it's divided, you must multiply it by both side; steps so that you can apply them to harder equations.

Sorry if this didn't help! I hope it did though, good luck. <3

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Please answer both questions and show all your work. I am in a hurry... please...
nikklg [1K]

Answer: 1) 9 days

2) a)37.5%

b)50%

c) 33.33%


Step-by-step explanation:

1) - Let's call:

x: number of days the company supposed to finish the order.

- You know that the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. Therefore, you can express this as following:

40x=(40+20)(x-3)\\40x=60(x-3)

- Solve for x:

40x=60x-180\\-20x=-180\\x=9

(The answer is 9 days)

2) a) The percent that belongs to three people if eight eight people share equally in an inheritance, can be calculated as following:

\frac{3}{8}*100=37.5%

b) The percent that belongs to three people if six people share equally in an inheritance (because two of the people are disinherited) can be calculated as following:

\frac{3}{6}*100=50%

c) - The increase goes from 1/8 to 1/6, therefore, you must subtract them:

\frac{1}{6}-\frac{1}{8}=\frac{1}{24}=0.04167

- Divide the result by 1/8 and multiply by 100 to obtain the percent:

\frac{0.04167}{\frac{1}{8}}*100=33.33%

5 0
3 years ago
Charlie needs a $275,000 mortgage and he'd like to pay it off in 30 years. He is considering two banks. Bank A: 3.5% with monthl
zubka84 [21]

Answer:

Difference in interest= $41,250

Step-by-step explanation:

To calculate the interest paid on each bank loan we use the following formula

Interest = Principal * Rate * Time

For Bank A

Interest = 275,000 * 0.035 * 30

Interest = $288,750

For Bank B

Interest = 275,000 * 0.04 * 30

Interest = $330,000

Therefore

Difference in interest= 330,000 - 288,750

Difference in interest= $41,250

Therefore if the mortgage is taken from Bank B he will pay an extra $41,250 on the loan.

The 0.5% difference in rates has a large impact over the 30 year term loan

7 0
3 years ago
Solve for t.
vova2212 [387]

Answer:

  -5

Step-by-step explanation:

From your knowledge of multiplication tables, you know that ...

  -35 = -(7×5) = 7×(-5)

Then comparing to the given equation, you realize ...

  t = -5

_____

Or, you can recognize 7 as the coefficient of t and divide both sides of the equation by that:

  -35/7 = (7t)/7

  -5 = t

5 0
3 years ago
Read 2 more answers
Compute the correlation coefficient for the data set. (2,19), (3,22), (4,26), (5,20), (6,35), (7,30), (9,40), (10,42), (11,35)
lakkis [162]

Answer:

The correlation coefficient  of the data is 0.8679.

Step-by-step explanation:

The formula to compute the correlation coefficient is:

r(X,Y)=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{n\cdot\sum X^{2}-(\sum X)^{2}}\times \sqrt{n\cdot\sum Y^{2}-(\sum Y)^{2}}}

From the data provided compute the values of ∑ XY, ∑ X, ∑ Y, ∑ X² and ∑ Y².

The values are computed in the table below.

Compute the correlation coefficient as follows:

r(X,Y)=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{n\cdot\sum X^{2}-(\sum X)^{2}}\times \sqrt{n\cdot\sum Y^{2}-(\sum Y)^{2}}}

            =\frac{(9\times 1893)-(57\times 269)}{\sqrt{(9\times 441)-(57)^{2}}\times \sqrt{(9\times 8635)-(269)^{2}}}\\\\=\frac{1704}{\sqrt{720\times 5354}}\\\\=0.86788895\\\\\approx 0.8679

Thus, the correlation coefficient  of the data is 0.8679.

4 0
3 years ago
Is 9.36 less. than. 9.359
konstantin123 [22]

Answer:

Its more because 9.36 has a bigger beginning then 9.359.





Ur welcome plzzz mark this as brainlest and thank me


4 0
4 years ago
Read 2 more answers
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