When the weight of apples is increased by a factor of 4, total cost increases by 8.
<h3>What is the increase in total cost?</h3>
The first step is to determine the relationship between the weight of apples and their total cost.
Relationship between weight and total cost = $2 / 1 = $2
Increase in total cost = $2 x 4 = $8
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Given:
Four equations in the options.
To find:
The equation which represents a proportional relationship.
Solution:
If y is proportional to x, then
where, k is the constant of proportionality.
In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.
From the given options, only option B, i.e., 
, is of the , where, 
.
So, the equation represents a proportional relationship.
Therefore, the correct option is B.
Answer:
A. 119 feet
Step-by-step explanation:
the height of tree right now =
17 × 8 = 136 feet
the differences = 136 -17 = 119 feet
Answer:
z = 110°
Step-by-step explanation:
Angles z and the one marked 70° form an linear pair, hence are supplementary.
z = 180° -70° = 110°
<h3>Angles where chords cross</h3>
The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...
70° = 1/2(60° +x) ⇒ x = 140° -60° = 80°
The arc w completes the circle of 360°, so we have ...
w +x +79° +60° = 360° ⇒ w = 360° -219° = 141°
Finally, z is the average of w and 79°:
z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above
Multiply each term in the parentheses by 3. Your answer is 6a - 12b
