1. a
2. c
3. a
4. b
5. c
explanations:
1. the opposite of -4 is 4. you can think of this two ways: the opposite of a negative is always absolute value, or the opposite of a negative is always positive.
2. above
3. -5 > -8 because the distance -5 is from 0 is 5, and the distance from -8 to 0 is 8. 8 > 5, so -8 is farther away than -5.
4. while -8 is less than -6, but absolute value would turn -8 into 8, which is greater than -6
5. explained by all above.
Grade 3: 360 dollars
Grade 4: 276 dollars
Grade 2: 164 dollars
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If Grade 3 has 360 dollars, but has 84 more than Grade 4 then subtract them like
360-84=276
276 is the amount that Grade 4 has, if Grade 4 has more than Grade 2 by 112 then subtract them like:
276-112= 164
Answer: 164
Summary: Grade 2 will have the least amount of dollars, but their total will be 164
The square of an odd number:
We're to conjecture, not do algebra, apparently. 1²=1, 3²=9, 5²=25, 7²=49, ...
We conjecture the square of an odd number is odd.
The product of two evens and an odd:
Again, we'll run some examples.
(2)(2)(1)=4
(2)(4)(3)=24
(4)(6)(5) =120
(4)(8)(1)=32
Conjecture: The product of two evens and an odd is a multiple of 4
Counterexample: The product of two fractions is never an integer
How about
3/4 × 4/3 = 1
Answer:
1. 52
2. 2.9
Step-by-step explanation:
To find the mean, we take all the numbers, add them up then divide by the number of numbers.
1. mean height
mean = (50+54+52+56+48)/5
=260/5
=52
52 inches
2. mean score
There are 5+3+12+2+6+6+4 students = 38 students
Multiply the number of students times the score and add together
total points = (0*5+1*3+2*12+3*2+4*6+5*6+6*4)
= 111
The mean is the total points divided by the number of students
mean = 111/38
=2.92