When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
Answer:
B 26.3% increase
Step-by-step explanation:
1 - 3.50/4.75 = .263 = 26.3%
Answer:20.096
Step-by-step explanation:
radius =r=4
Φ=288
π=3 14
Length of arc=Φ/360 x 2 x π x r
Length of arc=288/360 x 2 x 3.14 x 4
Length of arc=0.8 x 2 x 3.14 x 4
Length of arc=20.096
X=-4y+2
3(-4y+2)+2y=11
-12y+6+2y=11
-10y+6=11
-6=-6
-10y=5
y=-1/2
3x+2(-1/2)=11
3x-1=11
+1=+1
3x=12
x=4
Solution:(-1/2,4)
A. How many amoebas are there after 1 hour
