A number decreased by 12 is 24.

Mathematics

2 answers:

igomit [66]4 years ago

7 0

A number decreased by 12 is 24...
n - 12 = 24
n = 24 + 12
n = 36 <== ur number

Galina-37 [17]4 years ago

3 0

A number decreased by 12 is 24.
(by looking at your question, we can see that 'decreased by 12' = subtract (-) 12)

We can write this as the equation n - 12 = 24, in which n = the number.

Now let's solve for n by using algebraic properties.

n - 12 = 24
n - 12 + 12 = 24 + 12 (add 12 to both sides to isolate n)
n = 24 + 12 (the -12 and +12 cancel to 0 on the left side)
n = 36 (simplify, add 24 and 12)

Therefore the number is 36.

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5/8(x-1/3)=5/12 can someone help me figure out what x is?

eimsori [14]

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

3 0

3 years ago

1. Determine el valor de W en las proporciones siguientes: a) (12/w) = (4/3); w =

8090 [49]

Aplicando multiplicación cruzada, tiene-se que el valor de w es w = 9.