Answer:
Total cost = <em>$</em> 4.55
Step-by-step explanation:
2(8a + 5b) -(2a + 3b)
<em>Part A: Simplify the expression shown above</em>
Exapanding the brackets;
16a + 10b - 2a - 3b
Collecting like terms;
16a - 2a + 10b - 3b
14a + 7b
<em>Part B: If a represents apples that cost $0.25 each and b represents bananas that cost SO. 15 each, what is the total cost based on the expression above?</em>
a = 0.25
b = 0.15
14a + 7b
Inserting the values into the equation;
14 (0.25) + 7(0.15)
Total cost = <em>$</em> 4.55
Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
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Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
The answer depends on what type of division it is. Synthetic?
The closest to the maximum number of cups the punch bowl can hold is 30
<h3>How to determine the number of cups?</h3>
The given parameters are:
1 cup = 15 cubic inches
Diameter of bowl, d = 12 inches
The radius is the half of the diameter.
So, we have:
r = 6
The volume of the bowl is then calculated using:

This gives

Evaluate
V = 452.16
The maximum number of cups is then calculated using:
Cups = 452.16/15
Evaluate
Cups = 30.1444
Approximate
Cups = 30
Hence, the closest to the maximum number of cups the punch bowl can hold is 30
Read more about volumes at:
brainly.com/question/1972490
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