a) The expression to find the sale price of pastry = 0.75 x
b) The regular price of the pastry bought by Kimberly = $2.70
Step-by-step explanation:
Step 1 :
Let x be the regular price of the pastry in the bakery
Percentage of discount = 25%
Amount of discount = 0.25 x
The expression to find the sale price of pastry = x - 0.25 x = 0.75 x
Step 2 :
Sale price of the pastry bought by Kimberly = $2.03 = 0.75 x
<u>To find the regular price</u>
0.75x = 2.03
x = 
= 2.70
Regular price of the pastry bought by Kimberly = $2.70
Step 3 :
Answer :
a) The expression to find the sale price of pastry = 0.75 x
b) The regular price of the pastry bought by Kimberly = $2.70
The correct answer is y = 11
because:
2y + 7 = 3y − 4
−y + 7 =−4
Subtract 7 from both sides.
−y + 7 − 7 = − 4 − 7
−y = −11
Divide both sides by -1.
y = 11
Answer:
10 minutes
Step-by-step explanation:
First, find how much higher the airplane has to travel:
35,000 - 30,000
= 5,000
To fine how long it will take, divide 5000 by 500
5000/500
= 10
So, it will take 10 minutes to get above 35,000 feet
45% is the answer, since u have to multiply the 3% by 15
Answer:
Below!
Step-by-step explanation:
Using Pythagoras theorem, I will solve all of the problems.
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<u>Question 9:</u>
- 10² = 6² + x²
- => 100 = 36 + x²
- => 100 - 36 = x²
- => 64 = x²
- => x = 8
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<u>Question 10:</u>
- 26² = 24² + x²
- => 676 = 576 + x²
- => 676 - 576 = x²
- => 100 = x²
- => x = 10
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<u>Question 11:</u>
- 15² = 12² + x²
- => 225 = 144 + x²
- => 225 - 144 = x²
- => 81 = x²
- => x = 9
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<u>Question 12:</u>
- x² = 8² + 12²
- => x² = 64 + 144
- => x² = 208
- => x = √208
- => x = 14.2 (Rounded)
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<u>Question 13:</u>
- 7² = 2² + x²
- => 49 = 4 + x²
- => 49 - 4 = x²
- => 45 = x²
- => x = √45
- => x = 6.7 (Rounded)
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<u>Question 14</u>
First, let's solve for the variable x using Pythagoras theorem.
- => 5² = 3² + x²
- => 25 = 9 + x²
- => 16 = x²
- => x = 4 units
Now, let's solve for the variable y using Pythagoras theorem.
- (3 + 6)² = 5² + y²
- => (9)² = 25 + y²
- => 81 = 25 + y²
- => y² = 56
- => y = √56
- => y = 7.5 (Rounded) units
Answers (Nearest tenth):
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<u>Question 15:</u>
First, let's find the value of the variable y using Pythagoras theorem.
- 8² = 6² + y²
- => 64 = 36 + y²
- => 28 = y²
- => y = √28
- => y = 5.3 (Rounded) units
Now, let's find the value of the variable x using multiplication.
- x = 2y
- => x = 2(5.3)
- => x = 10.6 units
Answer (Nearest tenth)
- x = 10.6 units
- y = 5.3 units
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