Answer:
The correct answer is:
x ≤ 14 (b)
Step-by-step explanation:
first of all, let us find the other side of the rectangle using the limit of 46 as the highest perimeter:
Perimeter of a rectangle = 2(Length) + 2(width)
Let the length = x inches
let the width = 9 inches
Perimeter = 2x + 2(9)
46 = 2x + 18
2x = 46 - 18
2x = 28
x = 28 ÷ 2
x = 14
Therefore, for the perimeter to be equal to 46 inches, the other side of the rectangle must be equal to 14 inches. Hence, for the perimeter to be at most 46 inches ( 46 inches or less):
x is less than or equal to 14 (x ≤ 14)
Answer:
12
Step-by-step explanation:
The ratio of cars to trucks to motorcycles is $4:3:2.
If there are $42$ cars and trucks total,
To get how many motorcycles are there
Sum up the ratio of cars and trucks 4:3= 4+3 = 7
Sum up the ratio of cars and trucks and motorcycles
4+3+2 =9
Let the total number of cars and trucks and motorcycles be represented as A
The total number of cars and trucks in the question is 42
(7/9) x A = 42
7A/9 = 42
cross multiply
7A = 42×9 = 378
A= 378/7 = 54
The total number of cars and trucks and motorcycles is 54
To get the number of motorcycles can be calculated through
a. The total number of cars and trucks and motorcycles subtracted by the number of cars and trucks = 54-42=12 or use the ratio which is
2/9 × 54 = 2×6=12
Answer:
8%
Step-by-step explanation:
let,
this year population of students (pt)= 195
last year population of students (p)= 210
time(t)= 1 year
Population Change( R)= ?
we have,
pt= p( 1 - R/100)^t
195 = 210 ( 1 - R/100)^1
0.92= 1 - R/100
0.92-1= R/100
- 0.08 = - R/100
R= 0.08×100
R= 8%
Answer:
q4 answer is c
Step-by-step explanation:
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