Consecutive integers are numbers one after the other on the number one (ie. 1,2,3,4,5 or 203,204,205).
times= multiplication
sum= addition
more than= addition
is= equal sign
x= first integer
x+2= second integer
x+3= third integer
3(x + (x + 2))= 5(x + 3) + 8
add inside parentheses
3(2x + 2)= 5(x + 3) + 8
multiply 3 and 5 by their parentheses
(3*2x) + (3*2)= (5*x) + (5*3) + 8
multiply in parentheses
6x + 6= 5x + 15 + 8
6x + 6= 5x + 23
subtract 5x from both sides
x + 6= 23
subtract 6 from both sides
x= 17 first integer
x + 1= 17 + 1= 18 second integer
x + 2= 17 + 2= 19 third integer
CHECK:
3(x + (x + 2))= 5(x + 3) + 8
3(17 + (17 + 2))= 5(17 + 3) + 8
3(17 + 19)= 5(20) + 8
3(36)= 100 + 8
108= 108
ANSWER: The three consecutive integers are 17, 18 and 19.
Hope this helps! :)
Pemdas
28/7 + (-19+10)(-4)
28/7+ (-9)(-4)
28/7 + (36)
4+ (36)
40
No because it is 2 times the other angle so in that case one is bigger than the other
Answer: 5°
Step-by-step explanation:
You can use a right triangle to solve
Hypotenuse would be the flight path
One leg (opposite) is the tree 65 ft
Tan (Θ) = opposite/ adjacent = 65/750
Θ = arctan (65/750)
Θ = 5°
9 and 5/8, because 8 can go into 77, 9 times. That is 72 and, 77 subtract 72 is 5 so, 5/8. Then the answer would be 9 and 5/8 which is not simplified.