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Tomtit [17]
3 years ago
10

Three times a certain number is 45. What is the number?

Mathematics
1 answer:
andriy [413]3 years ago
4 0
The answer is fifteen (15)
Hope this helps!
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{ x - 3y= -3 & x + y= 5 We are to use the graph to solve the given system of equations, then enter your solution below. I ge
nasty-shy [4]

Answer:

Solution: (3, 2)

Step-by-step explanation:

It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.

<u>x - 3y = -3</u>

-3y = -x - 3

Divide both sides by -3:

\frac{-3y}{-3}  = \frac{-x - 3}{-3}

y = 1/3x + 1

where slope = 1/3

y-intercept = 1

<u>x + y = 5</u>

Subtract x from both sides to isolate y:

x - x + y = - x + 5

y = -x + 5

where slope = -1  

y-intercept, 5

I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, <u>x - 3y = -3</u> is the blue line, while <u>x + y = 5</u> is the green line. Their intersection occurs at point, (3, 2).

Therefore, the solution is (3, 2).

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0
3 years ago
Find the slope y - 2 = -3 (x+1) <br><br> (show steps!!)
Vsevolod [243]

y - 2 = -3 (x+1)

point slope form

y-y1 = m(x-x1)

looking at the above equation

the slope is -3

6 0
3 years ago
Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.
nataly862011 [7]

Answer: <u>110 feet per second</u>

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

S1=\frac{45*5280}{3600}=66

S2=\frac{60*5280}{3600}=88

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}

h=\sqrt{12100}=110

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0
3 years ago
Another middle schooler (Swimmer 2) swims 24 laps in 20 minutes, what is the unit rate?
prohojiy [21]

Answer:

1.2 laps per minute

Step-by-step explanation:

divide laps/minutes.

6 0
3 years ago
Hello, thanks for answering. Your a hero. :)
lyudmila [28]
They added it wrong. They added it like this:

100 + 700 + 800 + 560
When it shouldve been this:

100 + 70 + 80 + 56
They just added a place marker in all numbers below 100.
5 0
3 years ago
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