Answer:
Three consecutive numbers are 27,28,29
Step-by-step explanation:
Given : The sum of three consecutive integers is 84.
To find : What are the integers?
Solution : Let three consecutive numbers 
So, according to given situation 'sum of three consecutive integers is 84'.
So,
Therefore, three consecutive numbers are 27,28,29
Answer:
The answer is below
Step-by-step explanation:
Speed is the time rate of change of velocity, it is the ratio of distance to time.
Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:
speed = distance / time
time = distance / speed = 26 / 4.2 = 6.19 hour
I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:
time = distance / speed = 23 / 3 = 7.67 hour
a) Let d be the distance Mr Fowles catches me. Hence:
time = (d + 3)/4.2; also time = d/3
(d + 3)/4.2 = d/3
3d + 9 = 4.2d
1.2d = 9
d = 7.5 miles
He would catch me at 10.5 (7.5 + 3) miles from the starting point.
b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:
distance = 6.19 * 3 mi/hr = 18.57 mile
Distance behind = 23 mile - 18.57 = 4.43 mile
c) time longer = 7.67 hour - 6.19 hour = 1.48 hour
<span> f(x)=4x^8+7x^7+1x^6+
</span>∴<span> f(-2)=4(-2)^8+7(-2)^7+1(-2)^6+1
</span>∴ <span>f(-2)=(4x256) + (7x-128) + (1x64) +1
</span>∴ <span>f(-2)=1024 - 896 + 64 +1
</span>∴ <span>f(-2)= 193</span>
Answer:
a ) 400 percent
b ) n = 25
c) n= 36
Step-by-step explanation:
Is means equals, of means multiply and percents need to be changed to decimals.
a) 120 is what percentage of 30
120 = P * 30
Divide each side by 30
120/30 =P* 30/30
4 = P
Multiply by 100 to give the percentage
4 * 100
400 percent
b) 30 is 120% of what number
30 = 1.2 * n
Divide each side by 1.2
30/1.2 = 1.2n/1.2
25 = n
c) what number is 30%of 120
n = .3 * 120
n =36
Answer:
The measure of angle x is 
Step-by-step explanation:
we know that
In the right triangle of the figure, the tangent of angle x is equal to divide the opposite side to angle x by the adjacent side to angle x
so
