1) Expression
2) Equation
3) Expression
4) Equation
The answer is a = 2.25.
Simplifying
7 + -4(3a + -5) = 0
Reorder the terms:
7 + -4(-5 + 3a) = 0
7 + (-5 * -4 + 3a * -4) = 0
7 + (20 + -12a) = 0
Combine like terms: 7 + 20 = 27
27 + -12a = 0
Solving
27 + -12a = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + -12a = 0 + -27
Combine like terms: 27 + -27 = 0
0 + -12a = 0 + -27
-12a = 0 + -27
Combine like terms: 0 + -27 = -27
-12a = -27
Divide each side by '-12'.
a = 2.25
Simplifying
a = 2.25
First, arrange the numbers in order.
50, 55, 58, 60, 62, 64, 68, 70, 72, 76, 84, 92
the minimum (or lower-extreme) would be 50, since it is the lowest number.
the lower quartile would be 59, since 58 and 60 are the two middle numbers on the lower side, you would do 58+60 / 2.
the median would be 66, since 64 and 68 are the two middle numbers. you would do 64+68 / 2.
the upper quartile would be 74, since 72 and 76 are the two middle numbers on the upper side, you would do 72+76 / 2.
the maximum (or upper-extreme) would be 92 since it is the largest number.
to graph, put in your numbers at the bottom (i would probably count by twos). then plot your minimum, lower quartile, median, upper quartile, and maximum. next, draw a box around the lower quartile and upper quartile with the median inside the box. lastly, extend two lines from the left and right side of the box connecting to the minimum and maximum.
i hope this makes sense ! this is what goes through my head when i solve these kinds of problems lol
So, we write a fraction, which would be 12/100. Then we would do 12/100 = x/550. You could divide 100 by 550, which is 5.5. Then we would multiply 5.5 by 12, which is 66. So 66 people would be wearing glasses.
There are 13 spades and total number of cards is 52.
so the odds are 13:(52-13) = 13:39.
F
