Answer: 3.625 yards above the sea level.
Step-by-step explanation:
Given: The elevation of top of top of blue mountain above the sea level= 
The length of the lowest point below the sea level= 12.5 yards
The total elevation from the lowest point under the sea and the top of blue mountain=19.75+12.5=32.25 yards
The midpoint between the top and bottom of the slope = 
Since the ski lift is going to pick them up at the midpoint between top and bottom of the slope.
Therefore, the elevation at which they will be picked up= 19.75-16.125=3.625\ yards above the sea level.
Answer: If a solution results in zero when subsitituted into the denominator of the equation, the solution is extraneous.
This is because you obtained the solution from a simplified version of the original equation, but you have to check if the solution obtained is a real solution of the original equation
In the case that when you substitute the solution in the original version the denominator becomes zero, this solution must be rejected, because the division by zero is not defined.
Answer:
67.2g of sugar will be needed to make 8 cake
Step-by-step explanation:
8.4g x 8 cake
= 67.2g sugars
The two strands of Decorative light will shine at same time after every 15 seconds.
<h3>What is defined as the Highest common factor?</h3>
- The greatest of all their common factors is the Highest Common Factor (HCF) of more than one number.
- As a result, it is also known as the greatest common factor (GCF).
- There isn't an exact formula for determining the greatest common factor of two numbers.
- However, when considering prime factorization, we can write a statement that aids in evaluating the greatest common factor of more than one number.
The stated condition are-
The light strand one change color every 30 seconds.
The light strand second change color every 45 seconds.
Prime factorization of both number are;
30 = 2×3×5
45 = 3×3×5
The numbers with highest power are;
HCF(30, 45) = 3×5 = 15.
Thus, the time after which both the light strands will change colour at the same time is 15 seconds.
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Answer:
x = -53/8
Step-by-step explanation:
6(2x + 7) = 5x - 11 - x
12x + 42 = 5x -11 - x (Distributive property)
12x + 42 = 4x - 11 (Subtraction property)
8x + 42 = -11 (Subtraction Property)
8x = -53 (Subtraction Property)
<u><em>x = -53/8</em></u>
