Answer: -2.75*x - 4.7
Step-by-step explanation:
In the equation we have only one variable, this means that the minimum possible number of terms will be two, one term with x, and one term without x.
We can start with the equation:
(-0.25x - 3) - (2.5x + 1.7)
Now, let's rewrite this as:
-0.25x - 3 - 2.5x - 1.7
(-0.25*x - 2.5*x) + (-3 - 1.7)
Solving the parentheses we get:
-2.75*x - 4.7
That is the equivalent expression that has the fewest possible terms
<h3><u>The system of linear equations that represents the situation is:</u></h3>
a + b = 28
16a + 10b = 400
<h3><u>20 scented candles and 8 unscented candles were sold</u></h3>
<em><u>Solution:</u></em>
Let "a" be the number of scented candles sold
Let "b" be the number of unscented candles sold
From given,
Cost of 1 scented candles = $ 16
Cost of 1 unscented candles = $ 10
<em><u>The shop sells 28 candles today</u></em>
Therefore,
a + b = 28
b = 28 - a ------- eqn 1
<em><u>The shop sells 28 candles today and makes $400</u></em>
Therefore,
number of scented candles sold x Cost of 1 scented candle + number of unscented candles sold x Cost of 1 unscented candles = 400

16a + 10b = 400 ------ eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
16a + 10(28 - a) = 400
16a + 280 - 10a = 400
6a = 400 - 280
6a = 120
a = 20
<em><u>Substitute a = 20 in eqn 1</u></em>
b = 28 - 20
b = 8
Thus 20 scented candles and 8 unscented candles were sold
It looks like a rotation of 270 degrees counter-clockwise and a dilation (enlargement) of 2 times.
Hope this helps answer your question!
Answer:
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Step-by-step explanation:
let's crush these boys!
The set of integers that satisfy the inequality is x ∈ (-∞, 30) where x is an integer.
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The question is incomplete.
The complete question is:
Set of integers x such that x - 5 is less than 25.
We have an inequality:
x - 5 < 25
Adding 5 both sides:
x - 5 + 5 < 25 + 5
x < 30
x ∈ (-∞, 30) where x is an integer.
Thus, the set of integers that satisfy the inequality is x ∈ (-∞, 30) where x is an integer.
Learn more about the inequality here:
brainly.com/question/19491153
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