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2 years ago

Ken worked 20 hours and earned nearly a) $200. b) $2,000. c) $20.

Mathematics

1 answer:

Vitek1552 [10]2 years ago

3 0

Answer:

Multiply how much Ken gets paid by 20.

He gets paid $10per hour to make a

He gets paid $100per hour to make b

He gets paid $1per hour to make c

<em>good luck, i hope this helps :)</em>

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Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

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7 0

1 year ago

Two cars leave Phoenix and travel along roads 90 degrees apart. If Car 1 leaves 60 minutes earlier than Car 2 and averages 40 mp

prohojiy [21]

Answer:

The two cars will be almost 188 miles far from each other.

Step-by-step explanation:

Travel Time for Car 1 = t = 3.5 hours

Travel time for Car 2 = t-1 = 3.5 - 1 = 2.5 hours

Average speed of car 1 = 40 mph

Average speed of car 2 = 50 mph

Distance traveled by Car 1 = 40*3.5 = 140 miles

Distance Traveled by Car 2 = 50*2.5 = 125 miles

As both the roads are at a 90 degree angle. The path of the two cars and the joining line of their final position forms a right angle triangle where:

altitude = a = 140

base = b = 125

Distance of cars after 3.5 hours = c = ?

According to Pythagoras theorem:

c^2 = a^2 + b^2

c^2 = 140² + 125²

c² = 19600+15625

c = √35225

c = 187.68

Almost 188 miles.

5 0

2 years ago

I can't get the answer!!!! >:(

Rasek [7]

Answer:

The scale factor of the smaller rectangle to the larger rectangle is 3/2

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

To find out the scale factor of the smaller rectangle to the larger rectangle. set up a proportion

$\frac{9}{6}=\frac{3}{2}$ ----> ratio of corresponding heights

$\frac{12}{8}=\frac{3}{2}$ ----> ratio of corresponding bases

therefore

The scale factor of the smaller rectangle to the larger rectangle is 3/2

7 0

3 years ago

Explain Each Part please!!!

ch4aika [34]

Constant of Variation has this formula for Direct Variation.
y = kx
Where y = cost in dollars; x = length in meters; k = constant

We will use the formula for direct variation because the problem states that the cost varies directly to the length.

In the problem we need to get the constant of variation.

k = y/x
k = $4500 / 200 meter
k = $22.50 cost per meter.

A.) The equation relating C and s is:

k = C/s
* i just substituted C for y and s for x.

B.) The constant of variation represents the additional cost that the company will pay for every meter in length they add. which is $22.50 per meter.

C.) y = kx ; substitute C and s to y and x respectively;

C = ks
C = $22.50 * 700 m
C = $15,750

8 0

3 years ago

Read 2 more answers

Ed is a sales person.He sold a canoe for $997 and earned 4% commission.How much commission did Ed earn?

Wittaler [7]

He earned $39.88 in commission

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2 years ago