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Alexandra [31]
3 years ago
9

Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___

laps If Lin runs 21 laps at the same rate, how long does it take her? ___minutes
Mathematics
1 answer:
snow_lady [41]3 years ago
3 0

Answer:

a. 1.2 minutes

b. 0.83 laps

c. 25.2 minutes

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes.

a. How many minutes per lap is that?

5 laps = 6 minutes

1 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 1 laps

x minute = 6 minutes × 1 laps/5 laps

x laps = 1.2 minutes

Hence, it is 1.2 minutes per lap

b. How many laps per minute is that?

6 minutes = 5 laps

1 minute = x laps

Cross Multiply

6 minutes × x laps = 1 minute × 5 laps

x laps = 1 minute × 5 laps/6 minutes

x laps = 0.8333333333 laps

Hence, it is 0.83 laps per minute.

c. If Lin runs 21 laps at the same rate,

5 laps = 6 minutes

21 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 21 laps

x minute = 6 minutes × 21 laps/5 laps

x laps = 25.2 minutes

Hence, it takes her 25.2 minutes

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Cho tam giác ABC vuông tại A, cạnh AB =6, BC = 10, kẻ đường cao AH vuông góc với ÁC (H thuộc AC). Tính độ dài cạnh AC
Triss [41]

Answer:

Length of side AC = 8 centimeter (Approx.)

Step-by-step explanation:

In given right triangle

Length of side AB = 6 centimeter

Length of side BC = 10 centimeter

Find:

Length of side AC

Computation:

Length of side AB (Base) = 6 centimeter

Length of side BC (Hypotenuse) = 10 centimeter

Length of side AC (Perpendicular)

Perpendicular = √Hypotenuse² - Base²

Length of side AC = √Length of side BC² - Length of side AB²

Length of side AC = √10² - 6²

Length of side AC = √100 - 36

Length of side AC = √64

Length of side AC = 8 centimeter (Approx.)

7 0
3 years ago
What is the answer to |60|
Nookie1986 [14]

Since 60 is 60 units away from 0, it is 60.

8 0
3 years ago
Read 2 more answers
What is the answer??
Dovator [93]

Answer:

y₂ = 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - \frac{3}{4}

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (7, - 6) and (x₂, y₂ ) = (- 5, y₂ )

m = \frac{y_{2}+6 }{-5-7} , that is

\frac{y_{2}+6 }{-12} = - \frac{3}{4} ( cross- multiply )

4(y₂ + 6) = 36 ( divide both sides by 4 )

y₂ + 6 = 9 ( subtract 6 from both sides )

y₂ = 3

8 0
3 years ago
The third term in an arithmetic sequence is 10 and the fifth term is 26.If the first term is a1,which is an equation for the nth
dexar [7]
Just plug in 3 for n and then 5 for n to see if an turns out to be 10 and 26.

n=3:
A) an = 8*3+10 = 34
B) an = 8*3 - 14 = 10  OK
C) an = 16*3+10 = 58
D) an = 16*3 - 38 = 10 OK

n=5:
B) an = 8*5-14 = 26 OK
D) an = 16*5 - 38 = 42

So the answer is B
5 0
3 years ago
An artist cuts 4 squares with sides of length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She be
ehidna [41]

Answer:

V = 216x - 60x^2 + 4x^3

Step-by-step explanation:

The volume V of the fountain is equal to:

V = L*W*h

Where L is the lenght of the fountain, W is the width of the fountain and h is the high of the fountain

We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:

L = 18 - 2x

W = 12 - 2x

So, replacing L, W and h on the equation of the volume, we get:

V = (18-2x)*(12-2x)*x

Finally, simplifying the function we get:

V = ((18*12)+(18*(-2x))+(-2x*12)+((-2x)*(-2x)))*x

V = (216-36x-24x+4x^2)*x\\V = (216-60x+4x^2)*x\\V = 216x - 60x^2 + 4x^3

6 0
4 years ago
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