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3 years ago

3x + 4y = 12 Convert to slope-intercept form

Mathematics

2 answers:

IrinaK [193]3 years ago

7 0

Answer:

y=-3/4x+3

Step-by-step explanation:

Zigmanuir [339]3 years ago

4 0

Answer:

y=-3/4x+3

Step-by-step explanation:

subtract 3x from both sides: 4y=-3x+12

Divide both sides by 4: y=-3/4y+3

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What is the answer 12 x 12

aleksandr82 [10.1K]

12 × 12 would equal to 144

Hope this helped! :D

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3 years ago

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The smiths bill at a restaurant is $85 how much money should Mr. Smith leave as a tip if he plans to tip 20%

Ivenika [448]

Answer:

102.00

Step-by-step explanation:

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

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A plane flying horizontally at an altitude of 3 miles and a speed of 500 mi/h passes directly over a radar station. Find the rat

konstantin123 [22]

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles

First, we need to find b:

$a^{2} + b^{2} = h^{2}$ (1)

$b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles$

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

$\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})$

$2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:

$0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

$\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}$

$\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h$

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

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2 years ago

A museum has a 1/2 ounce piece of a precious metal. When the museum first received the piece, it had a value of $90. Its value h

Alex777 [14]

The current value of the precious metal is $144/oz

-First, you'd want to determine the original value per ounce since that's what the final unit being asked for is.

- Since the original value of the half ounce piece is given, this first step is fairly simple. You just double ninety.

- We now know that the metal was worth $180/oz when the museum first received it.

- We need to determine the current price of the metal now that is has had a twenty percent loss of value.

- My favorite way to factor in 20% is simply to divide by five since it's a lot more simple than finding the ratio of x$/1%

- $180/5=$36

- Thirty-six dollars is the price drop over the course of the museum possessing the precious metal.

- You now take $180-$36=$144

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3 years ago

Mrs.Sanchez Is taking an online test. At the bottom of the screen there is a progress bar. she has just finished 15 and on tje b

Anni [7]

60, 25% is a quarter of 100%, so 15 + 15 + 15 + 15= 60

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2 years ago