Answer:
The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number?
the number is 2.409
Step-by-step explanation:
based on the question;
let the number N
1/6 of N = (1/6)N
21/2 of N = ( 5/2)N
now, the sum of a number (N) 1/6 of that number(1/6)N , (5/2)N and 7 will be expressed as
N + ( 1/6)N + (5/2)N + 7 = 12 1/2
N + N/6 + 5N/2 + 7 = 25/2
find the lcm of the equation
we have;
(6N + N +15N + 42)/6= 25/2
(22N + 42)/6 = 25/2
Using cross multiplication we have
44N + 84 = 150
Collecting the like terms
44N = 150- 84
44N = 106
Divide both sides by 44
44N/44= 106/44
N = 2.409
The value of x is 5/8.
<u>Step-by-step explanation</u>:
Given,
- The lines PQ and RS are parallel to each other.
- slope of PQ= x-1/4
- slope of RS = 3/8
The slopes of parallel lines are equal.
slope of PQ = slope of RS
⇒ x-1/4 = 3/8
⇒ (4x-1)/4 = 3/8
⇒ 8(4x-1) = 4(3)
⇒ 32x-8 = 12
⇒ 32x = 20
x = 20/32
x = 5/8
Width: W
length: L = 5W
Use the Pyth. Theorem to find the length of the diagonal:
|D| = sqrt(W^2 + [5W]^2) = sqrt(W^2 + 25W^2) = sqrt(26W^2), or
Wsqrt(26) (ans.)
Answer:
A
Step-by-step explanation:
20 x 2 = 40
30 x 2 = 60
