What is an easy way to find 2% of 660?

The GCF of 36 and 63 is ____.

MArishka [77]

Factors of 36: 1; 2; 3; 4; 6; 9; 12; 18; 36

Factors of 63: 1; 3; 7; 9; 21; 63

Answer: GCF(36; 63) = 9

8 0

3 years ago

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Please solve this proportion with steps (I'm stuck)<br> (9x+6)/18= (20x+4)/3x

guapka [62]

$\frac{9x+6}{18}=\frac{20x+4}{3x}$

Cross multiply. Distribute...
$3x(9x+6)=18(20x+4)\\27x^2+18x=360x+72\\27x^2-342x-72=0\\3x^2-38x-8=0$

OH GOD IT'S A QUADRATIC
<em>(our equation is in ax² + bx + c = 0 form. a=3. b= -38. c= -8.
</em><em>plug these values into the quadratic formula and simplify.)</em>
$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-38)\pm\sqrt{(-38)^2-4(3)(-8)}}{2(3)}=\frac{38\pm\sqrt{1444+96}}6\\\\\sqrt{1444+96}=\sqrt{1540}=\sqrt{4\times345}=2\sqrt{345}\\\\\frac{38\pm2\sqrt{345}}6=\boxed{x=\frac{19\pm\sqrt{345}}3}$

Approximate values for x: -0.20714 or 12.874

7 0

3 years ago

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The following table shows the times of trains between Juno and Odiham.

Luba_88 [7]

Answer:

(a) The earliest time that Ferdo can be back at Juno station is 12:15

Step-by-step explanation:

From the given table, we have;

The starting time for train departure from Juno = 07:15

The frequency of train departures from Juno = Every 20 minutes

The time of departure, 't₁' of first train that departs from Juno after 08:30 is given as follows;

The train departure times from Juno = 07:15, 07:35, 07:55, 08:15, 08:35

Therefore;

The time at which the first train departs from Juno after 08:30 = 08:35

The time it takes a train to travel from Juno to Odiham = 0:805 - 07:15 = 50 minutes

The time of arrival of the train Ferdo takes from Juno at Odiham = 08:35 + 50 minutes = 09:25

The number of hours Ferdo spends at Odiham = 2 hours

The time after which Ferdo departs from Odiham = 09:25 + 02:00 = 11:25

The time of departure of the train from Odiham after 11:25 = 08:05 + 20 minutes × 10

Therefore, the time of departure of the train from Odiham after = 11:25

The time it takes on the trip back to Juno from Odiham = 50 minutes

The earliest time that Ferdo can be back at Juno station = 11:25 + 50 minutes = 12:15

8 0

3 years ago

Pls answer 17 and 18 I will give brainist

Nataly_w [17]

Answers:

Step-by-step explanation:

17. We need to understand what an indirect proof is. In an indirect proof, you prove a statement by showing that the negation of the statement is false.

The "then" part of the conditional is the "to prove" statement.

In an indirect proof, we assume the opposite of what we want to prove, this is also called proof by contradiction.

So if we need to prove angle A is not an obtuse angle, we will assume it is and then use the proof format to show that angle A cannot be obtuse.

<h2>The answer is B: Assume angle A is an obtuse angle</h2>

18. This question is asking us to use an indirect proof again. The "then" part of the statement is "KL > JK" and is the "to prove" statement.

We need the opposite of this, which would be assuming that KL <u><</u> JK.

<h2>The answer is B: Assume that KL <u><</u> JK</h2><h2>I'm always happy to help :)</h2>

4 0

3 years ago

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A firm is hiring labor and capital in the cost-minimizing combination. Which of the following would cause the firm to increase h

Nuetrik [128]

The productivity of labor increases by 5% would cause the firm to increase hiring capital and decrease hiring of labor

<u>Step-by-step explanation:</u>

A company can convert input data to output data. So, it gets divided the data into broad categories called production factors. Productivity variations, or more precisely the marginal products of labour, work in the same way as differences in real wages. Remember that marginal prices depend on both - real wages and the productivity.

If in case, productivity increases, perhaps because the company has increased its capital base, thereby marginal costs will decrease. Companies will produce more products and employ more employees. Conversely, if productivity drops, companies will produce less and destroy jobs.

3 0

4 years ago