Answer:
27,000
Step-by-step explanation:
Solve exponents first according to PEMDAS:
5^3 is 5 multiplying by itself three times.
So,
5^3 = 5 x 5 x 5
5 x 5 x 5
25 x 5
= 125
Now let's find the second number:
6^3 is 6 multiplying by itself three times.
So,
6^3 = 6 x 6 x 6
6 x 6 x 6
36 x 6
= 216
Now let's multiply these two numbers:
125 x 216
= 27,000
Answer:
119°
Step-by-step explanation:
90 + 29
a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B?
Bowling alley A:
Bowling alley B:
or more games
or
games
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.o
Using linear functions, it is found that:
a) The cheaper costs are given as follows:
b) Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.
A linear function is modeled by:
y = mx + b
In which:
For this problem, we have that:
Hence the cost functions are given as follows:
The costs are equal when:
A(x) = B(x)
3.75 + 4x = 2.5 + 4.5x
0.5x = 1.25
x = 1.25/0.5
x = 2.5.
Hence the cheaper costs are given as follows:
Alley B has the lower initial cost due to the lower cost for the pair of shoes.
For item b, if we increase the cost per game by $0.50 for alley A, we have that:
A(x) = 4.5x + 3.75.
Hence:
Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.
More can be learned about linear functions at brainly.com/question/24808124
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Round your answer to the nearest hundredths if necessary.
Answer: 5.43 square inches
Step-by-step explanation:
Here, the area of triangle ACD = 17.18 square inches,
And, the radius of the triangle having center A = 6 inches
The central angle of the arc CED = 72°
Hence, the area of the sector CAD =
=
=
= square inches
Since, the area of CED = The area of sector CAD - Area of triangle ACD
= 22.608 - 17.18
= 5.428 ≈ 5.43 square inches.
The correct answer is Store A: Sale of 10% off and a successive discount of 10% off.
Further explanation:
Discount is the reduction of amount in the cost price of any item.
The following formula for discount can be used when the rate of discount and the cost price is given.
The following formula for selling price can be used when the discount and the cost priceis given.
Given:
The price of an item is .
Calculation:
Store A is allowing 10% off and then allowing a successive discount of 10%.
The first discount of an item by the use of the formula can be calculated as,
Now, the selling price after allowing the first discount is,
The successive discount on the item can be calculated as,
Now, the selling price after allowing second discount is,
Therefore, the amount we have to pay to Store A is .
Store B is giving 15% off with no additional discount.
The discount of an item by the use of the formula can be calculated as,
Now, the selling price after allowing discount can be calculated as,
Therefore, the amount we have to pay to Store B is .
Store C is giving $35 off and then allowing a successive discount of 10%.
Now, the selling price after allowing first discount can be calculated as,
The successive discount on the item can be calculated as,
Now, the selling price after deducting second discount can be calculated as,
Therefore, the amount we have to pay to Store C is .
It can be clearly seen that if we buy an item which is priced at $360 from Store A then we have to pay least amount of $291.6.
Learn more:
1. Learn more about profit and loss brainly.com/question/2479097
2. Learn more about domain and range of thefunctionbrainly.com/question/3412497
3. Learn more about the word problem for magnitude of the acceleration brainly.com/question/1597065
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Profit and Loss
Keywords: Percentage , profit , loss, discount, cost price, selling price, marked price, rate of discount, amount, succesive discount, reduction, maximum, price .