Answer:
It is the 4th image
Step-by-step explanation:
I took the test
Note that fiona cannot sell decimal number of cupcakes or muffins. That's why the options A and D are false.
Consider all remaining options:
B. 40 cupcakes and 80 muffins will cost $(40·3+80·2)=$(120+160)=$280, but Fiona Follies sold at least $300 worth of cupcakes and muffins. Thus, this option is false.
C. 60 cupcakes and 70 muffins will cost $(60·3+70·2)=$(180+140)=$320. Now consider expenses. $(60·0.75+70·0.5)=$(45+35)=$80. This option is true.
E. 80 cupcakes and 80 muffins will cost $(80·3+80·2)=$(240+160)=$400. Now consider expenses. $(80·0.75+80·0.5)=$(60+40)=$100 (exactly $100). This option is true.
Answer: correct options are C and E.
Answer:
32.8 miles
Step-by-step explanation:
Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?
Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :
y = -0.95x + c
Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:
48 = -0.95(31) + c
c = 48 + 0.95(31)
c = 48 + 29.45
c = 77.45
The equation of the line is
y = -0.95x + 77.45
After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.
y = -0.95(47) + 77.45
y = -44.65 + 77.45
y = 32.8 miles
Answer:
• 2/3|2 -x| = 1/15
• |2 -x| = 1/10
• 1/5 +|4/3 -2/3x| = 4/15
Step-by-step explanation:
Starting with the given equation, subtract 1/5 = 3/15.
(2/3)|2 -x| = 4/15 - 3/15
(2/3)|2 -x| = 1/15 . . . . . . . . matches the first choice
Now, multiply by 3/2.
|2 -x| = 3/30
|2 -x| = 1/10 . . . . . . . . . . . . matches the third choice
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If you decide to distribute the coefficient 2/3 instead, you have
1/5 + |2·2/3 -x·2/3| = 4/15
1/5 + |4/3 -2/3x| = 4/15 . . . . matches the selected choice
The car is worth 17,200.
20,000x .14=2800
20,000-2,800=17,200.
