Answer:
(X+9)x(X-4)
Step-by-step explanation:
1. write as a difference:
X^2+5X-36
2. factor the expressions:
X^2+9X-4X-36
3. factor the expression: Xx(X+9)-4(X+9)
Correct question:
The LCM of two numbers is 9 times their HCF .The sum of LCM and HCF is 500 . Find the HCF of two numbers.
Answer:
The HCF of two numbers is 50.
Step-by-step explanation:
let the H.C.F of the two numbers = x
let the L.C.M of the two numbers = y
y = 9x -------equation (1)
y + x = 500 -------- equation (2)
y = 500 - x
Substitute in the value of y in equation (1)
500 - x = 9x
500 = 9x + x
500 = 10x
x = 500 / 10
x = 50
Therefore, the HCF of two numbers is 50.
The efficient green house gas is carbon dioxide gas
Answer:
D.) 5 x 25 = 125
Step-by-step explanation:
The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.
Answer:
correct answer: Bob's hose required alone 33 hours and Jim's hose required alone 66 hours
Step-by-step explanation:
Given:
Bob's hose time = 50% of Jim's hose time ⇒
⇒ Jim's hose time = 2 · Bob's hose time
Let be x Bob's hose time and 2x Jim's hose time
The following equation will solve the problem:
1/x + 1/ 2x = 1/22
The common denominator for both fractions is 2x, so we will multiply the first fraction by the number 2 and get:
2/2x + 1/2x = 1/22 ⇒ 3/2x = 1/22 ⇒ x = 3 · 22 / 2 ⇒ x = 3 · 11 = 33 hours
Bob's hose time x = 33 hours and
Jim's hose time 2x = 66 hours
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