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babunello [35]
3 years ago
12

Find two consecutive integers whose sum is 45. List the numbers from smallest to largest separating them with a comma (6, 7).

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

(22, 23)

Step-by-step explanation:

x + ( x + 1) = 45

2x + 1 = 45

2x = 45 - 1

2x = 44

x = 44 ÷ 2

x = 22

22, 23

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An athlete runs around a circular track. The track has a diameter of 200 feet. How many laps does she need to take to run a mile
Shtirlitz [24]
First you have to figure out the length of the track:

2 * \pi * r

r is the half of the diameter:
200ft : 2 = 100ft

2* \pi *100ft = 200\pi≈ 628,31

The athlete has to run ca. 5280ft for one mile:

5280 : 628,31≈8,4

The athlete has to run 8,4 laps
3 0
3 years ago
One of the diagonals of a rhombus is thrice as the other. The area of the rhombus is 54 sq.Cm. The sum of the length of the diag
Colt1911 [192]

Answer:

Step-by-step explanation:

let one diagonal=x

other diagonal=3x

area=1/2 (x±3x)=3/2 x²=54

x²=54×3/2=81

x=9 cm  

3x=3×9=27

sum of diagonals=x+3x=4x=4×9=36 cm

5 0
3 years ago
Why wasn't i doing this sooner :)
Licemer1 [7]

Step-by-step explanation:

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afternoon is 4 hour 15 min

together is 8 hour 30 min

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7 0
3 years ago
Solve 5r2 – 12 = 68. {±4} {±5} {±3} {±6}
sashaice [31]

Hey there!

Assuming you meant

5r^2 - 12 = 68

If so, follow these steps so it can be a little bit easier to solve

Firstly, we have to add by 12 on each of your sides

5r^2 -12 +12 \\ \\ 68 + 12

5r^2 = 5r^2 \\ \\ 68 + 12 = 80

We get: 5r^2 =80

Now, we have divide by 5 on each of your sides

\frac{5r^2}{5} = \frac{80}{5}

\frac{80}{5}  = 16

We get: r^2 = 16

r = ± \sqrt{16}

Therefore , your answer is:r = ±4

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

3 0
3 years ago
What is the slope of the line that passes through the points (4, 9) and (1, 6)?
Aleksandr [31]

a = ( 1 , 6 )

b = ( 4 , 9 )

slope =  \frac{y(b) - y(a)}{x(b) - x(a)} \\

Now just need to put the coordinates in the above equation :

slope =  \frac{9 - 6}{4 - 1} \\

slope =  \frac{3}{3} \\

slope = 1

And we're done...♥️♥️♥️♥️♥️

5 0
3 years ago
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