Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer: x = 1
Answer:
Slope: −14y-intercept: (0,1)
Step-by-step explanation:
Answer:

Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that

And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have


( ABCD is parallelogram so AD=BC)
( BC= BE+EC)


( subtracting 1 from both side )

taking reciprocal both side

Answer:
1st even integer = 2
2nd even integer = 4
3rd even integer = 6
Step-by-step explanation:
Let the consecutive even integers be:
1st = 2(x)
2nd= 2(x +1) = 2x + 2
3rd = 2(x + 2) = 2x + 4
According to Given conditions:
7(2x) = 4 + 2x +2 + 2x + 4
By Simplifying:
14x = 10 + 4x
Subtracting 4x from both sides
14x - 4x = 10 + 4x -4x
10x = 10
Dividing both sides by 10 we get:
x = 1
Now putting value of x in supposed integers:
1st even integer = 2(1) = 2
2nd even integer = 2(1)+2 = 4
3rd even integer = 2(1) + 4 = 6
I hope it will help you!
Answer:
He burrows 6 holes in 2 minutes which means that he can burrow 3 holes in 1 minute.
To determine how many he can burrow in 7 minutes, you would multiply the
unit rate of 3 holes in 1 minute by 7.
He would burrow 21 holes in 7 minutes.
Step-by-step explanation:
brainliest pls?