Posotive=120. Negative= -600
Answer:
Step-by-step explanation:
Given
The x and y values
Required
Determine the constant of proportionality
This is calculated from:
Pick any corresponding x and y values:
and 
Substitute 8 for x and 2 for y in
Make r the subject
Pick another x and y values:
and 
<em>Hence, the constant of proportionality is 1/4</em>
Answer: 42 bowls were sold in the month of December.
Step-by-step explanation:
Here, The company models its profit, P, using the formula 
, where u is the number of bowling balls the company sells.
Since, Dobbs Bowling Company made a profit of $1,588 during the month of December.
Therefore, 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ u = 42 and -38
Since, The number of balls can not be negative.
Therefore, total number of the bowling balls in December that are sold = 42
Answer:
To add two integers with the same sign, add their absolute values. The sum is :
- <u>Positive</u> if both integers are positive
- <u>Negative</u> if both integers are negative
The candy distributor must use 70 kg and 30 kg of 10% fat-content chocolate and 60% fat-content chocolate respectively.
<h3>How to find the correct quantity of chocolate that should be used?</h3>
Let x be the quantity of 10% fat-content chocolate.
Fat in 10% fat-content chocolate + Fat in 60% fat-content chocolate = Total fat in 25% fat-content chocolate
0.10x + 0.60(100 - x) = 0.25*100
10x + 60*100 - 60x = 25*100
-50x = 25*100 - 60*100
-50x = 100(25 - 60)
50x = 3500
x = 3500/50
x = 70 kg
This is the quantity of 10% fat-content chocolate required.
100 - x = 30 kg
This is the quantity of 60% fat-content chocolate required.
Therefore, we have found that the candy distributor must use 70 kg and 30 kg of 10% fat-content chocolate and 60% fat-content chocolate respectively.
Learn more about forming equations here: brainly.com/question/18296269
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