You can either do;
1. 90(2) = 100(2)
180 = 200
In 3 minutes, they can write 200 words. So now we can divide by 3.
3/3 = 1 minute
200/3 ≈ 66.666
or
2. 90/3 = 30 secs
100/3 ≈ 33.333
30(2) = 1 minute
33.333(2) ≈ 66.666
Either way, the admin assistant can write 67 words per minute. (Rounded to the nearest whole)
Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
Answer:
(a) 900
(b) 648
(c) 180
(d) 600
Step-by-step explanation:
If there are no restrictions, there are 10 possible values for each digit of a three-digit number.
(a) The leading digit cannot be zero
There are 9 options for the first digit and 10 for the remaining digits.
![n=9*10*10 = 900](https://tex.z-dn.net/?f=n%3D9%2A10%2A10%20%3D%20900)
(b) The leading digit cannot be zero and no repetition of digits is allowed.
![n=9*9*8=648](https://tex.z-dn.net/?f=n%3D9%2A9%2A8%3D648)
(c) The leading digit cannot be zero and the number must be a multiple of 5.
If a number is a multiple of five, it must end in 0 or 5
![n=9*10*2=180](https://tex.z-dn.net/?f=n%3D9%2A10%2A2%3D180)
(d) The number is at least 400.
If the number is at least 400, the first digit can only be 4, 5, 6, 7, 8 or 9. There are no restrictions for the remaining digits.
![n=6*10*10=600](https://tex.z-dn.net/?f=n%3D6%2A10%2A10%3D600)
Answer: there are 16 blocks
Step-by-step explanation: