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pantera1 [17]
3 years ago
6

A cyclist rides her bike at a rate of 12 kilometers per hour. What is this rate in kilometers per minute? How many kilometers wi

ll the cyclist travel in 20 minutes?

Mathematics
1 answer:
natulia [17]3 years ago
6 0
I hope this helps you

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The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = (x – 10). What is the stan
Crank

Answer:

<h3>2x + 5y = –15.</h3>

Step-by-step explanation:

We are given coordinates of the line passed through (–5, –1) and (10, –7) .

Applying slope formula,

Slope=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:-7\right)

Therefore,

m=\frac{-7-\left(-1\right)}{10-\left(-5\right)}

m=-\frac{2}{5}

Therefore, slope is m=-\frac{2}{5}.

Applying point-slope form y-y_1=m(x-x_1), we get

y+7 = -\frac{2}{5}(x-10)

y+7=-\frac{2}{5}(x-10)

On multiplying both sides by 5, we get

5(y+7)=5\times-\frac{2}{5}(x+1)

5y+35=-2(x-10)

5y+35=-2x+20

Adding 2x on both sides, we get

5y+25+2x=-2x+20+2x

2x+5y+35=20

Subtracting 35 from both sides, we get

2x+5y+35-35=20-35

2x+5y=-15.

Therefore, required equation is :

<h3>2x + 5y = –15.</h3>
6 0
3 years ago
Mercedes bought 2 1/2 pounds of blueberries and her son ate 1/4 the blueberries how many pounds of blueberries Are left?
iragen [17]
So all you do is you divide 2 1/2 by .25 and you get 10 then you know one fourth or 25% of that package is 10 berries so the rest or 30% left over is 30 berries. 
8 0
3 years ago
Solve for x<br> 14x + 2 = 9x - 3
vovangra [49]
-9x from both sides
5x+2=-3
-2 from both sides
5x=-5
x= -1
7 0
3 years ago
Read 2 more answers
A sixth-grade class must raise at least $447 to go on a field trip. The amount of money, m, that each of the 30 students must ra
Virty [35]

Answer:

Each student must raise $14.90

Step-by-step explanation:

This is actually fairly easy to figure out (at least this part) all you do is 447/30 and then you get your 14.9 (14.90)

m = 14.90

30m = 447

4 0
3 years ago
PLEASE HELP
Dmitry_Shevchenko [17]

Answer:

D. A = 3n + 15

Step-by-step explanation:

3 should be beside the n variable because n represents each ride that was purchased.

As 15 represents the fee

The A variable represents the total amount spent

Therefore your answer is D.

Your Welcome.

3 0
3 years ago
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