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Assoli18 [71]
3 years ago
12

Paula used these steps to solve an equation:

Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

Answer:

steps 4 and 5

Step-by-step explanation:

When we look at example, we can see that we have :

-6r=57

So we divide by -6 and we got

r=-\frac{57}{6}

So, our final answer is steps 4 and 5

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Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi
skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:    

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}

Solving the equation we get,

\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}

9\times 4=3\times n(n -1)

36=3\times n(n -1)

n^2-n-12=0

n^2-4n+3n-12=0

n(n-4)+3(n-4)=0

(n-4)(n+3)=0

n=4,-3

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

S=\frac{D}{T}

S_a=\frac{4\times 450}{9}

S_a=200 m/min

Brian completes 3 laps in that 9-minute time, so his rate is

S_b=\frac{3\times 450}{9}

S_b=150 m/min

Therefore, Alan: 200 m/min

Brian: 150 m/min

4 0
3 years ago
Welcome back! As we get older we choose to subscribe to things if we want. Usually if you want to remove ads you can pay a month
Vikentia [17]

y=9.99x+3

for 7 months

y=9.99*7+3

y=69.93+3

y=72.93

3 0
3 years ago
What does 64/100 represent as a ratio and a percent
Dvinal [7]
64/100 is easy its just 64 out of 100
7 0
3 years ago
PHYSICS As a ray of light meets a mirror, the light
Lady bird [3.3K]
<h3>Answer:  37 degrees</h3>

========================================================

Explanation:

The angle of incidence is equal to the angle of reflection. The angle of light coming in is the same as the angle of light bouncing out. Each angle is made with the dashed line as the diagram shows.

So angle RMI = 106 is bisected, i.e. divided in half, to get

  • Angle RMN = 53
  • Angle NMI = 53

since 106/2 = 53

Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,

angle RMJ = (angle NMJ) - (angle RMN)

angle RMJ = 90 - 53

angle RMJ = 37 degrees

----------

In short: divide 106 in half to get 53, then subtract it from 90

5 0
2 years ago
The answer/ why it’s right
pantera1 [17]
<h2>AREA OF RECTANGULAR PRISM=AREA OF cuboid =l×b×h</h2><h2>=15x×7x×3x</h2><h2>=315x³</h2>

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

4 0
3 years ago
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