Based on the given conditions, formulate:
If the fraction is defined, the denominator cannot equal 0.:
Append the inequality as the domain:
Reduce the fraction:
Multiply both sides of the equation by the common denominator:
Reduce the fractions:
Swap the sides:
Divide both sides of the equation by the coefficient of variable:
Cross out the common factor:
Find the intersection:
get the result:
Answer: x=560
Answer:
16 years, 13 years
Step-by-step explanation:
Let their ages be x, 29-x
Equation formed:-
(x - 7) + 4 = 29 - x
→ 2x = 29 + 3
→ x = 16 years
Answer: 16 years, 13 years
Answer:
Drink = 1.4
Hot dog = 1.75
x + y = 3.15
Step-by-step explanation:
Let drink = x ; hot dog = y
3x + 2y = 7.70 - - (1)
2x + y = 4.55 - - - (2)
From (2)
y = 4.55 - 2x - - - (3)
Put y = 4.55 - 2x in (1)
3x + 2(4.55 - 2x) = 7.70
3x + 9.1 - 4x = 7.70
-x = 7.7 - 9.1
-x = - 1.4
x = 1.4
Put x = 1.4 in (3)
y = 4.55 - 2(1.4)
y = 4.55 - 2.8
y = 1.75
Drink = 1.4
Hot dog = 1.75
x + y = 3.15
Answer:
Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.
Step-by-step explanation:
Representing the length of the garden by l and width of the garden by w.
For turner's garden, given that l= 24 yards and w= 17 yards.
As the area, A, of the rectangular garden having length l and width w is
So, the area of Ms. Turner's garden, = 24x17=408 sq. yards
For turner's garden, given that l= 5 yards and w= 138 yards.
So, by using equation (i),
the area of Mr. Webster's garden, = 5x138=690 sq. yards
Here, 
, and
= 690-408= 282 sq. yards.
Hence, Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.
