Answer:
The largest three-digit number divisible by 24 and 54 is:
Step-by-step explanation:
To identify the largest number what I did was dividing 999 (the largest whole three-digit number of all) in the first number given (24):
With this number, you know that you must multiply 24 by a number like 41 or less until you find a number that can be divisible by 54 and obtain a whole number, so:
- 24*41= 984/54= 18.22 (how the number obtained is not a whole number, this is not the correct).
- 24*40= 960/54= 17.77 (this is not).
- 24*39= 936/54= 17.33 (this is not).
- 24*38= 912/54= 16.88 (this is not).
- 24*37=888/54= 16.44 (this is not).
- <u>24*36= 864/54= 16 (This is the correct</u>).
Now, you have identified that the number 864, you can prove it by dividing this in 24 and 54:
Answer
5 x (f + 9g)
Step-by-step explanation:
I can add my step by step if u want
The given data is shown in the table below.
x: -5 -4 -3 -2 -1 0 1
f(x): 35 24 15 8 3 0 -1
A graph of the data is shown below.
Calculate rates of change, r.
Interval: [-5, -1]
r = (35 - 3)/(-5+1) = -8 (tile -8)
Interval: [-4, -1]:
r = (24 - 3)/(-4 + 1) = -7 (tile -7)
Interval: [-3, 1]:
r = (15 + 1)/(-3 - 1) = -4 (tile - 4)
Interval: [-2, 1]
r = (8 + 1)/(-2 - 1) = -3 (tile -3)
Answer:
Tile Interval
----- ----------
-3 [-2, 1]
-4 [-3, 1]
-7 [-4, -1]
-8 [-5, -1]
Answer:
Celery = 3/8 cups
Tomatoes = 2/5 cups
Carrot = 5/4 cups
Step-by-step explanation:
CLUE 1: The amounts were 2/5 cup, 3/4 cup, and 5/8 cup
CLUE 2: There is less celery than tomatoes.
CLUE 3: There is less tomatoes than carrots
From clue 2 and 3:
Tomato > Celery ; Carrots > tomatoes
From least to highest :
Celery < Tomatoes < Carrot
Arranging clue 1 in ascending order :
2/5 = 0.4
3/8 = 0.375
5/4 = 1. 25
Hence,
3/8 < 2/5 < 5/4
Celery = 3/8 cups
Tomatoes = 2/5 cups
Carrot = 5/4 cups
6 cm
the diameter is two times the radius so the radius would be 12/2 which is
6 cm
