Answer:
Step-by-step explanation:
case 1
cost of 20oz bottle of soda = $1.20
dividing both side by 20
cost of 20/20 oz bottle of soda = $1.20/20
cost of 1oz bottle of soda = $0.06
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Case 2
cost of 12oz bottle of soda = $0.85
dividing both side by 12
cost of 20/20 oz bottle of soda = $0.85/12
cost of 1oz bottle of soda = $0.07
Based on above calculation, we can see that first deal 20oz bottle of soda at costs $1.20 is better deal as per unit cost is $0.06 which is less than 12 oz can of soda costs $0.85 which is equivalent to $0.07 per unit cost
Answer:
"If you like loud music, then you like rock-n-roll"
Step-by-step explanation:
we know that
To form the converse of the conditional statement, interchange the hypothesis and the conclusion
In this problem we have
"If you like rock-n-roll, then you like loud music."
The hypothesis is "you like rock-n-roll"
The conclusion is "you like loud music"
interchange the hypothesis and the conclusion
The converse is
"If you like loud music, then you like rock-n-roll"
Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
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Answer:
x = -62.5
Step-by-step explanation:
y = kx
-4 = k(25)
k = -4/25
y = (-4/25)x
10 = (-4/25)x
x = 10 × 25/-4
x = -62.5