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Anton [14]
3 years ago
15

It takes Matt 6 minutes to swim 12 laps in the pool. How many laps could he swim in 9 minutes?

Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0

9514 1404 393

Answer:

  18

Step-by-step explanation:

Matt swims 12/6 = 2 laps each minute, so in 9 minutes he could swim ...

  (9 min)(2 laps/min) = 18 laps

pochemuha3 years ago
4 0

Answer:

18

Step-by-step explanation:

6*2=12

9*2=18

Two laps per minute

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A scientist begins an experiment with a culture of 5 bacteria cells. Every hour, the number of bacteria cells triples. Which equ
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Whichever one is 5*3^x.
4 0
3 years ago
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at a highschool, the length of a class period is 40 minutes. What is the length, in hours, of a class period at the high school?
Viktor [21]

Answer:

2/3 hours

Step-by-step explanation:

40 minutes = 40/60 = 2/3 hours

4 0
3 years ago
The perimeter of a rectangle is 30.8 km and it’s diagonal length is 11 km. Find it’s length and width
blsea [12.9K]

Answer:

Length of the rectangle is 15.0325 km and width is 0.3765 km.

Explanation:

Given:

Perimeter of a rectangle = 30.8 km

Length of diagonal of rectangle = 11 km

To find:

The length and width of rectangle=?

Solution:

Lets assume length of the rectangle = x km

And assume width of the rectangle = y km

Lets first create equation using given  perimeter

perimeter of rectangle = 2 ( length +  width )

=> 30.8 km = 2 ( x + y )  

=>x + y = \frac{30.8}{2}

=> y = 15.4 – x             ------(1)

As diagonal and two sides of rectangle forms right angle triangle whose hypoteneus is diagonal ,  

=> length^2 + width^2 = diagonal^2

=> x^2 + y^2 = 11^2

=> x^2 + y^2 = 121

On substituting value of y from (1) in above equation we get

=> x^2 + (15.4-x)^2 = 121

=>x^2 + (15.4)^2 + x^2 – 2 x 15.4 \times x   = 121

=> 2x^2-30.8x + 237.16 -121  = 0

=> 2x^2-30.8x + 116.16 = 0

Solving above quadratic equation using quadratic formula

General form of quadratic equation is  

ax^2 +bx +c = 0

And quadratic formula for getting roots of quadratic equation is  

x= \frac{ -b\pm\sqrt{(b^2-4ac)}}{2a}

As equation is 2x^2-30.8x + 116.16 = 0, in our case

a = 2 ,  b = -30.8 and c = 116.16

Calculating roots of the equation we get

x=\frac{ -(-30.8)\pm\sqrt{(-30.8)^2-4(2)( 11)} } {(2\times2)}

x=\frac{30.8\pm\sqrt{(948.64-88)}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{(30.8\pm29.33)}4

x=\frac{(30.8+29.33)}{4}

x=\frac{(30.8-29.33)}{4}

=> x = 15.0325 or x = 0.3675

As generally length is longer one ,  

So x = 1.0325

From equation (1) y = 15.4 – x = 0.3765

Hence length of the rectangle is 15.0325 km and width is 0.3765 km.

6 0
3 years ago
Zorona weighs 92 pounds. Her weight is 6 pounds more than half of her father’s weight. How much does her father way?
mihalych1998 [28]

Answer:

Zorona's dad wieghs 40 pounds

Step-by-step explanation:

92 ÷ 2 = 46

46 - 6 = 40

hope this helps!

6 0
3 years ago
the mean height was 69.9 inches with a standard deviation of 3.0 inches. Assume the height data is normally distributed. Zak’s h
sammy [17]

Answer:

snsnbsjskksnsnanammanz xnzkmz

5 0
3 years ago
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