Answer:
slope = -5/1
y-intercept = (0, -34)
Step-by-step explanation:
slope m = change in y ÷ change in x
= (-9 - -4) ÷ (-5 - -6)
= -5 ÷ 1
= -5/1
y = mx + b ⇒ y = -5x + b
substitute one of the points
-4 = (-5 x -6) + b
-4 = 30 + b
b = -34
Therefore, y-intercept = (0, -34)
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer: 19 cupcakes and 37 cookies were sold.
Step-by-step explanation:
Let x represent the number of cupcakes that Jesse sold yesterday.
Let y represent the number of cookies that Jesse sold yesterday.
If he sold 56 cupcakes and cookies combined, it means that
x + y = 56
Each cupcake sold for $1.50 and each cookie sold for $0.25. At the end of the day, Jesse had sold $37.75 worth of cookies and cupcakes. This means that
1.5x + 0.25y = 37.75 - - - - - - - - - - -1
Substituting x = 56 - y into equation 1, it becomes
1.5(56 - y) + 0.25y = 37.75
84 - 1.5y + 0.25y = 37.75
- 1.5y + 0.25y = 37.75 - 84
- 1.25y = - 46.25
y = - 46.25/ - 1.25
y = 37
x = 56 - y = 56 - 37
x = 19
The number of computers increased by 38.9%
Step-by-step explanation:
Number of computers at start of week = Old value = 18
Number of computers by end of week = New value = 25
Change = New value - Old value
Change = 25-18 = +7
The positive sign indicates the increase.
Increase percent = 
Rounding off to nearest tenth
Increase percent = 38.9%
The number of computers increased by 38.9%
Keywords: difference, percentage
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