1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gtnhenbr [62]
4 years ago
13

Alex swims at an average speed of 45m/min. How far does he swim in 1 minute and 24 seconds?

Mathematics
1 answer:
aksik [14]4 years ago
6 0

Answer:

63 m        

Step-by-step explanation:

We are given the following in the question:

Average speed of swimming = 45 m/min

Time = 1 minute 24 seconds

Converting time into minutes:

=1 + \dfrac{\text{seconds}}{60}\\\\=1 + \dfrac{24}{60}\\\\=1.4\text{ minutes}

Formula:

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

Putting values, we get.

45 = \dfrac{\text{Distance}}{1.4}\\\\\text{Distance} = 45\times 1.4 = 63\text{ m}

Thus, Alex swims for 63 m in 1 minute and 24 seconds.

You might be interested in
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
jek_recluse [69]

Answer:

50%

Step-by-step explanation:

68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma)

95% of all values lie within the 1 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)

99.7% of all values lie within the 1 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

\mu = 55\\\sigma = 4

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma) = (55-4,55+4)= (51,59)

95% of all values lie within the 2 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)= (55-2(4),55+2(4))= (47,63)

99.7% of all values lie within the 3 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)= (55-3(4),55+3(4))= (43,67)

Refer the attached figure

P(43<x<55)=2.5%+13.5%+34%=50%

Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%

4 0
3 years ago
Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s
Sauron [17]

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

  • -2x + 6y + 3z = -31
  • -3y + 7z = 59
  • 2z = 10

<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

2z = 10\\z = 5

let us substitute the value of z into equation (ii)

-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8

Let's substitute the value of x and y into equation (i)

-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

brainly.com/question/14323743

6 0
2 years ago
05.06)Which net represents the pyramid below? The image of a square pyramid. A hexagon with a triangle connected with a dotted l
navik [9.2K]

Answer:

A square with a triangle connected to each side with a dotted line.

Step-by-step explanation:

we know that

A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.

so

The net that represent the pyramid is

A square with a triangle connected to each side with a dotted line.

see the attached figure to better understand the problem

3 0
3 years ago
Read 2 more answers
What is the measure of AC?​
kicyunya [14]

AC=2AE ( because diagonal of rhombus bisect each others)

AE=8 cot 53°

AE=6

AC=2 x 6 = 12

Hence, The length of AC is 12

6 0
4 years ago
Read 2 more answers
On a math test , you scored 69 out of a total of 75 points. what percent did you get?
topjm [15]
92% You would divide 69 by 75 then multiply by 100
3 0
3 years ago
Read 2 more answers
Other questions:
  • The coordinates of points A and L are negative 4 and 8, respectively. What is the coordinate of the midpoint between them?
    11·1 answer
  • 2+2355433455333338387463783837747383883773738
    11·2 answers
  • A common inhabitant of human intestines is the bacterium escherichia coli, named after the german pediatrician theodor escherich
    13·1 answer
  • “Genetic power is far more potent than atomic power. And it will be in everyone's hands. It will be in kits for backyard gardene
    12·1 answer
  • The ratio of muscisians to actors was 2 to 5. If there were 28 musicians, how many actors were there?
    7·1 answer
  • Help me pleasee
    8·1 answer
  • Elevando um certo numero natural,maior do que zero,ao expoente 101 encontrarmos como resposta 1. Qual é esss numero? 101 A) 0 B)
    9·1 answer
  • What is 9/10-6/10 or can you not do it?
    14·1 answer
  • Write an equation of the line that passes through the points (5, -1) (-5, 5)
    5·1 answer
  • Find the slope(6,8) and (9,10)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!