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4 years ago

What is numbers are difference of 5

Mathematics

1 answer:

stepladder [879]4 years ago

8 0

Step-by-step explanation:

let the numbers x and y

so x + y =13

x - y = 5

add two equations together

2x = 18

divide both side by 2

x = 9

sub in any equation

9 + y =13

y = 4

the numbers are 9 and 4

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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

4 years ago

What is the measure of the indicated angle?

snow_lady [41]

Answer:

110

Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

? = 110

5 0

2 years ago

Read 2 more answers

Jan walks 40 meters in 15 seconds what is her rate?

schepotkina [342]

The answer is 2.67 seconds per second when rounded but 2.66666...

6 0

3 years ago

There are six teachers in a room, ages, 40, 50, 45, 55, and 65. If a 29 year old teacher enters the room, how will the mean age

klasskru [66]

The old mean was 51 now the mean is 42.33... (round that to 42) 51 - 42 = 9

7 0

3 years ago

I really need help with this!!! someone help please

Minchanka [31]

Answer:

156 in squared

Step-by-step explanation:

So the formulas will be stated below

Parallelogram Area= 1/2h(b1+b2)

Square Area= Bh

So first do

(4)(12+6)

(4)(18)

No need to half it bc there's the same shape at the bottom

72+18+30+36

6(3)

3x5(2)

12(3)

5 0

3 years ago