Answer:
Step-by-step explanation:
Let the width of the rectangle = x
Length = 2x
Perimeter = 96 inches
2 * ( length + width) = 96
2 * ( 2x + x ) = 96
2 * 3x = 96
3x = 96/2 = 48
3x = 48
x = 48/3
x = 16 inches
Width = 16 inches
Length = 2*16 = 32 inches
Area = length*width
= 32*16
= 512 sq.cm
Answer:
C. The principal randomly selects homeroom classes and surveys each student in the chosen classes.
Step-by-step explanation:
Middle school is 6-8th. Surveying only the eighth-grade students won't give a representative sample of the whole school only the eighth-graders. Option A is incorrect.
Surveying only the students in detention represents a very small amount of students compared to the school, therefore it is not a representative sample. Option B is incorrect.
Yet again, the students in the math club is a small amount of students compared to the school. It does not represent the entire, or majority of the population. Option D is incorrect.
Picking students from homeroom classes and surveying each will give a wider variation of opinions from each grade and therefore a representative sample. Option C is the correct answer.
3. yes because 15 divided by 5 and 27 divided by 9 both result in the same answer; 3.
4. No because 3/4 is not a whole number, while 4/3 is. For this to be an equivalent ratio, the second number would have to be something like 6/8.
15 x .42= $ 6.30 Flour
8 x 3.99 = $31.92 Utter
1 x .67 = .67 Salt
30 x 1.49 = $ 44.70 Apples
Total = $83.59
Dollar amount is $83
Change amount is .59
If Jamal had $84.00 to spend his change was .41
Slope: (y2-y1)/(x2-x1)
(5+7)/(1-8) = 12/-7
Solution: the slope is -12/7
