Answer: -3
Step-by-step explanation:
-3x+ 7x+ 35= 5x + 38
You solve the distributive property on the left side and set it equal to the right
4x+35= 5x+38
-4x -4x
35= x+38
-38 -38
X=-3
When the negative is included in the parentheses, you end up with a positive product
Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.
<h3>How to determine a linear equation describing the daily distance of a runner</h3>
In this question we need to derive an expression of the <em>daily</em> distance as a function of time. Now we proceed to complete the components:
- <em>Linear</em> equations have an <em>independent</em> variable (t - time) and a dependent variable (x - daily distance).
- We notice that the daily distance increases linearly in time, then then we have the following pattern:
t 1 2 3 4 5 6
x 2 2.5 3 3.5 4 4.5 - The equation that represents the n-th term of the sequence is x(n) = 2 + 0.5 · (n - 1).
- The week when Susie will run 10 miles per day is:
10 = 2 + 0.5 · (n - 1)
8 = 0.5 · (n - 1)
n - 1 = 16
n = 17
Susie will run 10 miles per day in the 17th week. - It is not reasonable to think that pattern will continue indefinitely as it is witnessed in the difficulties experimented by <em>fastest</em> runners in the world to increase their <em>peak</em> speeds.
- A marathon has a distance of 26 miles, then we must solve the following equation:
26 = 2 + 0.5 · (n - 1)
24 = 0.5 · (n - 1)
48 = n - 1
n = 49
Susie should start her training 49 weeks before the marathon.
To learn more on linear equation: brainly.com/question/11897796
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The amount due for the first term of payment is the product of the
total sales and the percentage.
(1)
Amount
due = ($85,000)(0.04) = $3,400
The total amount due for the second term of payment is the product of
the total sales and the percentages together with all the fees specified in the
item (insurance, maintenance, and utilities).
(2)
Amount
due = ($85,000)(0.03) + $175 + $50 + $345 = $3,120
If we are to compare the two amounts, using the second term of
payment, lesser amount will be paid. Thus, the answer to this item is the
second choice.
You have to use the distance formula.
