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2 years ago

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

Mathematics

1 answer:

Leona [35]2 years ago

4 0

Answer:

( $\frac{2}{3} , \frac{1}{5}$ )

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

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20% of what equals 1581.01

Zepler [3.9K]

If you rewrite this phrase to be an equation, with N representing the missing number, it would be:

20% x N = 1581.01 or 0.2N = 1581.01

This equation basically says 20% of what number equals 1581.01.

To get to the answer, divide both sides by 0.2. -->

0.2N ÷ 0.2 = 1581.01 ÷ 0.2 -->
N = 1581.01/0.2
N = 7905.05

6 0

2 years ago

Hello ^ Please help! Thanks

Ivan

The angle measure of a straight line is 180°, and so if the you know that one angle off of it is (5x)°, then you know that the other section is (180 - 5x)°.

Because it's an isosceles triangle, there are two identical angles, which happen to be the angles with the measure of (5x - 30)° and (180 - 5x)°.
Since they have the same measure, 5x - 30 = 180 - 5x. Solve:

$5x-30=180-5x\\\\10x=210\\\\x=\frac{210}{10}=21$

Thus, x = 21°.

8 0

2 years ago

Read 2 more answers

Please Help Me With This One, Is This A Function?

natali 33 [55]

Answer:

Step-by-step explanation:

It is a function because each Input value maps to one output value.

6 0

2 years ago

Give your answer to four decimal places

Maslowich

Answer:

The characteristic of a logarithm is the number to the left of the decimal.

(The characteristic is like an exponent).

We are working with base 3 logs.

So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3) then we increase the characteristic by two.

Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.

1.8928 +2 = 3.8928

Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.

Step-by-step explanation:

4 0

2 years ago

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tac

Brums [2.3K]

Answer: The population will be 408,000 people.

Step-by-step explanation:

So in 2000 there were 200,000 people and it started to grow 8% every year so up to 2013.

so find 8% of 200,000 and then multiply it by the the number of years.

8% * 200,000 = 16,000

Find the difference between the years.

2013 - 2000 = 13 years

13 * 16000 = 208000 This is the amount of new people from 2000 to 2013 so add it to the original population.

208,000 + 200,000 = 408,000

5 0

2 years ago