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PtichkaEL [24]
3 years ago
10

Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 mi

nutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them? 15 minutes 18 minutes 38 minutes 75 minutes
Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
6 0
Short Answer: 18 minutes
Remark

The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.

Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1 
S = 45 minutes
M = 30 minutes

Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour

Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work

job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t

Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2

1.3333 + 2 = 3.33333 
3.3333 = 1 / t                    Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour


1 hour = 60 minutes
0.3 hours = x              Cross Multiply
x = 60 * 0.3
x = 18 minutes

Answer working together it took them 18 minutes  <<<<< 
qwelly [4]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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lawyer [7]
The answer would be C. you know this because it can’t be A or B because they are positive and D is over -1 which is more than -1/6.

sorry if this is confusing but yeah
4 0
2 years ago
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A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is e
vesna_86 [32]

B.Time is a function of distance. is the answer ot the question

A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false?

Speed is a function of time.

Time is a function of distance.

Speed is a function of number of students racing.

Time is a function of speed.

6 0
3 years ago
The perimeter of a triangle is 84 feet. Find the length of the three sides if the middle length side is 5 feet greater than twic
mixas84 [53]

Answer: Smaller side = 14ft

middle side = 33ft

Larger side = 37ft

Step-by-step explanation:

This triangle has 3 sides, defined by the variables:

S = length of the smallest side.

M = length of the middle side.

L = length of the larger side.

And the perimeter of a triangle is equal to the addition of the length of each side of the triangle.

We also know that:

M = 5ft + 2*S

L = 3*S - 5ft

84ft = S + M + L.

The first step is to replace the first and the second equation into the third, so we can solve it for S.

84ft = S + (5ft + 2*S) + (3*S - 5ft)

84ft = 6*S

84ft = 6*S

84ft/6 = 14ft = S.

Now that we found the length of the shorter side, we can replace it in the above equations to find the length of the other two sides:

M = 5ft + 2*S = 5ft + 2*14ft = 33ft

L = 3*S - 5ft = 37ft

4 0
3 years ago
Find the area of the circle to find the nearest whole number. Use 3.14 or 22/7 for ip
sertanlavr [38]

Answer:

You didn't provide the complete question as the radius or diameter of the circle isn't given. Please check the explanation below to see how to approach such questions.

Step-by-step explanation:

Area of a circle has a formula and it is given as:

Area = \pi r^{2}

where \pi is a constant and has a value of 3.14 or 22/7,

r is the radius of the circle (i.e the line drawn from the center of the circle to any point on the circle).

radius, r = diameter/2.

Example 1: Find the area of a circle with radius 7meters (7m) and correct to the nearest whole number. Use 3.14 or 22/7 for pi.

Solution:

Area = \pi r^{2} = \frac{22}{7} (7^{2})\\\\ Area = \frac{22}{7} (7)(7) = 22(7)\\\\ Area = 154squaremeters = 154m^{2}\\

NB: The unit of area is always in square units. In our case square meters

Example 2: Find the area of a circle with diameter 7feet(7ft). Use 3.14 or 22/7 for pi.

Solution:

Area = \pi r^{2}

But we were given the diameter not the radius.

Remember that I earlier said that radius, r = diameter/2 = \frac{7}{2}ft

Area = \frac{22}{7}(\frac{7}{2} )^{2} = \frac{22}{7} (\frac{7}{2} )(\frac{7}{2} )

Area = \frac{11(7)}{2} = \frac{77}{2} \\\\ Area = 36.5ft^{2}

So, if you have questions that ask for area, ensure you have the radius and if the diameter is given instead of the radius, carry out the neccessary calculation i.e. Diameter/2 to obtain the radius and use the area formula.

6 0
3 years ago
What is the volume of a cube if each side is 11 cm​
vladimir1956 [14]

The volume of a cube is side^3

Volume = 11^3

Volume = 1,331 cm^3

5 0
2 years ago
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