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PIT_PIT [208]
3 years ago
7

Joseph wants to buy a new tennis racquet which cost $200 from the factory. The sports shop marks up the price by 60%. Joseph bou

ght the racquet when the shop had a 25% off sale. How much profit did the shop make?
Mathematics
1 answer:
andriy [413]3 years ago
5 0
Use multipliers:
The normal price the shop would sell the racquet for is:
1.6 * 200 = 320
'1.6' is the multiplier that I got using the percentage. Multiplying a value by 1.6 is the same as increasing the value by 60%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the question, now we can use the multiplier 0.75 because we are are reducing the price by 25% (0.25 as a decimal), so:
320 * 0.75 = 240
And now we want just the profit so we take off how much it cost the shop to buy ($200): 240 - 200 = 40
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Step-by-step explanation:

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The regular right pentagonal prism is uniform polyhedron . Its dual polyhedron is the pentagonal dipyramid.

The surface area and volume for the right regular pentagonal prism of unit edge length are

S = 5+1/2sqrt(5(5+2sqrt(5)))

(1)

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7 0
3 years ago
The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use
k0ka [10]

Answer:

2489ft^{2}

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}

<h3>Area of each circular section:</h3>

From the figure, we know that \alpha =2.21 radians and the radius is R=30ft. So, the are would be calculated with this formula:

A_{cs}=\frac{\pi R^{2}\alpha}{360\°}

Replacing all values:

A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}

Remember that 360\°=6.28radians

Therefore, A_{cs}=994.5ft^{2}

Now, the total are of the figure is:

A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}

Therefore the area of the symmetrical pool is 2489ft^{2}

3 0
3 years ago
cConsider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,
quester [9]
Expected value = -1(1/6) + 2(1/6) + 3(1/6) - 4(1/6) + 5(1/6) - 6(1/6) = -1/6 + 2/6 + 3/6 - 4/6 + 5/6 - 6/6 = -1/6 = -0.167
4 0
3 years ago
Read 2 more answers
Please help solve with working much appreciated!
Lapatulllka [165]

The right answer is Option A.

Step-by-step explanation:

Given,

Heart rate goal = I

Heart rate reserve = H

70% of H = \frac{70}{100}H = 0.7H

Resting heart rate = R

According to given statement,

70% of heart rate reserved is added to resting heart rate to calculate heart rate goal, therefore,

I = R + 0.7H

I=R+0.7H represents the given situation.

The right answer is Option A.

Keywords: linear expression, addition

Learn more about addition at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

8 0
3 years ago
Two angles of a triangle measure 15° and 85°. What is the measure for the third angle
disa [49]

Answer:

15+85+x =180

X=180-15-85

X=8O°

Step-by-step explanation:

6 0
3 years ago
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