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jonny [76]
4 years ago
6

How long does it take to travel 240 km at a constant speed of 12 km/h?

Mathematics
1 answer:
tankabanditka [31]4 years ago
5 0

Answer:

It will take 12 hours

Step-by-step explanation:

Distance equals rate times time

d = rt

We know the distance and the rate

240 = 12 * t

Divide each side by 12

240/12 = 12t/12

20 = t

It will take 12 hours

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HELPPP ITS AN EMERGENCY!!!!!!
attashe74 [19]

Answer:

The equation in point-slope is \mathbf{y+5=3(x-6)}

Step-by-step explanation:

We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line y=-\frac{1}{3}x+4

The general form of point-slope is; y-y_1=m(x-x_1)

where m is slope and (x_1,y_1) is the point

We need to calculate slope.

We are given equation of line y=-\frac{1}{3}x+4 that is perpendicular to the required line.

The equation is given in slope-intercept form y=mx+b where m is slope.

Comparing both equations we get m= -1/3

But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e m=-\frac{1}{m}

<em>So, </em><em>slope of required line is m = 3 </em><em>(opposite reciprocal of -1/3)</em>

Now, the equation in point-slope form having slope m=3 and point (6,-5) is

y-y_1=m(x-x_1)\\y-(-5)=3(x-6)\\y+5=3(x-6)

So, The equation in point-slope is \mathbf{y+5=3(x-6)}

5 0
3 years ago
An artists builds a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal,and the rest is wood.
Softa [21]

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight = \frac{3}{4} *14.9=\frac{44.7}{4} =11.175 \;kilograms

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

7 0
3 years ago
Read 2 more answers
What is the solution to the following system of equations 2x+3y=3 and -3x-2y=8
SpyIntel [72]
<span>2x+3y=3
</span><span>-3x-2y=8

3y=3-2x
-2y = 8+3x

y = 1 - 2x/3
y = -4 - 3x/2

</span>1 - 2x/3 =  -4 - 3x/2

5 = - 3x/2 + 2x/3

5 = -9x/6 + 4x/6

5 = -5x/6

x = 5 * 6/-5

x = -6

No plug it in.

<span>2x+3y=3 ; x = -6

-12 + 3y = 3

3y=3+12

3y=15

y = 5

So </span>x = -6 and y = 5
3 0
4 years ago
Can someone help me Please!
enyata [817]

Answer:

1.6

Step-by-step explanation:

Lets count how many points are x and y away from each other since we dont have a graph.

X and Y points:

35-15=20

56-24=32

Use the formula:

\frac{rise}{run}

32/20 = 1.6

6 0
3 years ago
Suppose a triangle has sides a, b, and c, and that a2 + b2 &lt; c. Let o be the
siniylev [52]

Step-by-step explanation:

if a^2 +b^2 <c^2,

then abc is not a right triangle since for a right triangle a^2+ b^2 = c^2

8 0
3 years ago
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