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2 years ago

Rounding decimals to the thousandths place 45.9867

Mathematics

1 answer:

solmaris [256]2 years ago

4 0

Answer:

45.987

Step-by-step explanation:

Because its the number you get by rounding up

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Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form

nadya68 [22]

Answer:

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}$ where two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (15,2.2) and (5,1.6):

$m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}$

Therefore, the slope of the line is $\frac{\displaystyle 3}{\displaystyle 50}$ . Plug this into $y=mx+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

2) Determine the y-intercept (b)

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

Plug in a given point and solve for b:

$1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b$

Therefore, the y-intercept is $\frac{\displaystyle 13}{\displaystyle 10}$ . Plug this back into $y=\frac{\displaystyle 3}{\displaystyle 50}x+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

I hope this helps!

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3 years ago

Someone rides a bike at a constant speed. they go 30 miles in 2 hrs. What was their speed?

lesantik [10]

Answer:

They were going at 15 mph. Scroll down for step-by-step! :)

Step-by-step explanation:

2 hours, 30 miles. 30 divided by 2 :)

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3 years ago

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The volume of a cone is 800/3 π cubic yards. The height is 8 yards. Find the radius.

emmasim [6.3K]

Answer:

ur mom

Step-by-step explanation:

there is none, it's just simply ur mom

- hope that solved ur problem :)

- Im ur dad btw

- Mac and cheese is pretty good 10/10

- DADDY

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3 years ago

Help if you’re good at math I’ll give brainliest

boyakko [2]

Answer:

(4,2)

Step-by-step explanation:

Just by looking at the graph, you can see that they intersect at (4,2). But just to check:

x - 2 = -0.5x + 4

1.5x = 6

x = 4

y = 4 - 2 = 2

(4,2)

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3 years ago

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A company uses 3 trucks to deliver a total of T liters of cement. Each truck can transport x liters of cement per trip, and make

FromTheMoon [43]

Answer:

3x-x+2=4

Step-by-step explanation:

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