Aaron the car wash owner had 228 quarters and 120 dimes.
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Equation</h3>
An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of quarters and y represent the number of dimes. Hence:
x = 90% of y + y
x = (0.9y) + y
x - 1.9y = 0 (1)
Also:
0.25x + 0.1y = 69 (2)
From both equations:
x = 228, y = 120
Aaron the car wash owner had 228 quarters and 120 dimes.
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Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x + 6 + 3x + 21 = 8x + 7
7x + 27 = 8x + 7
-x + 27 = 7
-x = -20
x = 20
m<3= 8(20) + 7
160 + 7 = 167
m<1= 4(20) + 6 = 80 + 6 = 86
m<2= 3(20) + 21 = 60 + 21 = 81
Answer:
WORK For Exercises 44 and 45, use the information below and in the graph. Andrea works in a restaurant and is paid every two weeks. If Andrea earns $ 6.50 an hour, illustrate the Distributive Property by writing two expressions representing Andrea's pay last week.
This revolves around exact trig values - no easy way to say this, you just need to memorise them. They are there for sin cos and tan, but I will give you the main tan ones below - note this is RADIANS (always work in them when you can, everything is better):
tan0: 0
tanpi/6: 1/sqrt(3)
tanpi/4: 1
tanpi/3: sqrt(3)
tanpi/2: undefined
Now we just need to equate -2pi/3 to something we understand. 2pi/3 is 1/3 of the way round a circle, so -2pi/3 is 1/3 of the way round the circle going backwards (anticlockwise), so on a diagram we already know it's in the third quadrant of the circle (somewhere between pi and 3pi/2 rads).
We also know it is pi/3 away from pi, so we are looking at sqrt(3) or -sqrt(3) because of those exact values.
Now we just need to work out if it's positive or negative. You can look up a graph of tan and it'll show that the graph intercepts y at (0,0) and has a period of pi rads. Therefore between pi and 3pi/2 rads, the values of tan are positive. Therefore, this gives us our answer of sqrt(3).
