Which value for k makes the equation 42 ÷ k = 14 true? Select all that apply. A. 588 B. 62 C. 1452 D. 3 E. 23
1 answer:
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Answer:
a. 5 represents the number of calories that come from other ingredients.
b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.
c. <em>c = 5.5</em>
Step-by-step explanation:
We are given the equation:
Where represents the grams of carbohydrates
27 is the total number of calories that are received by the granola bite.
4 is the number of calories from 1 gram of carbohydrates and
5 is the number of calories that are received from other ingredients.
Answer of Part a:
5 is the number of calories that are received from other ingredients.
Part b:
Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.
So, LHS becomes:
4 \times 8 + 5 = 37
4 \times 3 + 5 = 17
So, Priya is correct that neither 8 or 3 could be solution.
Part c:
So, solution to the equation is: <em>c = 5.5</em>
Answer:
The width and the length of the pool are 12 ft and 24 ft respectively.
Step-by-step explanation:
The length (L) of the rectangular swimming pool is twice its wide (W):
Also, the area of the walkway of 2 feet wide is 448:
Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).
The total area is related to the pool area and the walkway area as follows:
(1)
The area of the pool is given by:
(2)
And the area of the walkway is:
(3)
Where the length of the bigger rectangle is related to the lower rectangle as follows:
(4)
By entering equations (4), (3), and (2) into equation (1) we have:
By solving the above quadratic equation we have:
W₁ = 12 ft
Hence, the width of the pool is 12 feet, and the length is:
Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.
I hope it helps you!