Answer:
Option A. -6.5
Step-by-step explanation:
we have

Solve for r
That means ---> isolate the variable r
Combine like terns left side of the equation

Divide by 0.5 both sides


The fraction which is equivalent to 6/12 is 1/2
What does a fraction mean?
In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.
In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2
The correct fraction which is equivalent to 6/12 is 1/2
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Full question:
A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?
(A) 1/3
(B)1/4
(C) 1/6
(D) 1/2
Answer: 112 inches.
Step-by-step explanation:
You know that the width of the rectangular piece of wood is 4 inches and the width of the strip ribbon is 1/4 inches.
Then, let be "n" the number of strips ribbon that Laura needs to cover the width of the rectangular piece of wood (Assuming that she will cover the wood in the form shown in the figure attached). This is:

To find the lenght of ribbon that Laura needs to conver the wood, you must multiply the number of strips ribbon "n" by the lenght of the rectangular piece of wood, then you get:

The exponential model has an initial value of 3
The exponential model of the data is f(x) = 3 * (1.2)^x
<h3>How to determine the exponential model?</h3>
From the complete question,we have the following parameters:
- Initial value, a = 3
- Growth rate, r = 0.2
The exponential model is then calculated as:
f(x) = a * (1 + r)^x
Substitute known values
f(x) = 3 * (1 + 0.2)^x
Evaluate the sum
f(x) = 3 * (1.2)^x
Hence, the exponential model of the data is f(x) = 3 * (1.2)^x
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Answer:
D
Step-by-step explanation:
(2x + 2) -
(3x - 1) = 15
multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions
2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side
4x + 4 - 3x + 1 = 60
x + 5 = 60 ( subtract 5 from both sides )
x = 55