Answer:
d 11/6
Step-by-step explanation:
find the common denominate for -1/2 which is 3/6 make sure you remember the rule of integers adding if they have diffrent sign there gonna be postive if they have the same sign there negative look up the role it will help you a lot find the common denominator which and then add like normal if it ask for it s lowest term then find the lowest term have a good day if you have question please type in the comments if you need more help
If the perimeter is 98 cm, the sum of the lengths of two adjacent sides is 49 cm.
... (2x -1) + (3x +5) = 49 . . . . use the given information and relation
... 5x +4 = 49 . . . . . . . . . . . simplify
... 5x = 45 . . . . . . . . . . . . . . . subtract 4
... x = 9 . . . . . . . . . . . . . . . . . divide by 5
The left side dimension is then
... 2x -1 = 2·9 -1 = 17 . . . . cm
The top dimension is
... 3x +5 = 3·9 +5 = 32 . . . . cm
The rectangle is 17 cm by 32 cm.
Answer:
300 gallons an hour
Step-by-step explanation:
If it pumps 75 gallons in 1/4 of an hour (15 minutes), then if you times that by four to make it a full hour (60 minutes). 75 times 4 is 300.
Answer:
Option D is correct.
Step-by-step explanation:
We can tell that
Now, let's simplify.
=> 
=> 
=> 
=> 
=> 
Therefore, Option D is correct.
Hoped this helped.
Answer:
x = 5.5
Step-by-step explanation:
Given 2 secants intersecting the circle from a point outside the circle then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 14) = 6(6 + 12)
x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )
x² + 14x - 108 = 0 ← in standard form
with a = 1, b = 14 and c = - 108
Using the quadratic formula to solve for x
x = ( - b ± 
) / 2a
= ( - 14 ± 
) / 2
= ( - 14 ± 
) / 2
= ( - 14 ± 
) / 2
x = 
or x = 
x = - 19.5 or x = 5.5 ( to 1 dec. place )
However x > 0 ⇒ x = 5.5
