An equation that can be used to determine the value of x is x² + 5x - 36 = 0.
To answer the question, we need to know what equations are
<h3>What is an equation?</h3>
An equation is an expression which shows the relationship between two variables.
Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.
Then,
- The width of the rectangular poster is W = x + 2 + 1 = x + 3.
- The length of the rectangular poster is L = x + 1 + 1 = x + 2
So, the area of the rectangular sheet poster is A = LW
= (x + 2)(x + 3)
Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².
So, (x + 2)(x + 3) = 42
x² + 3x + 2x + 6 = 42
x² + 5x + 6 - 42 = 0
x² + 5x - 36 = 0
So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.
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Using proportions, considering the cost of the taxi per mile, it is found that Gary traveled 9.375 miles, not including the first.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the company charges 2.95 for the first mile and $0.3 per each 1/8 mile next = $2.4 per mile. After the first mile, he was charged a total of $25.45 - $2.95 = $22.5. Hence the number of miles is given by:
22.5/2.4 = 9.375.
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Answer:
a) £11.46
b) £8.54
Step-by-step explanation:
a) Ffion's Bill = £2.49 + 2(£3.99) + £0.99
= £2.49 + £7.98 + £0.99
= £11.46
b) Change Received = £20 - £11.46
= £8.54
First you set up the problem- 7/12=x/100. then you cross multiply 7×100=700 then divide 12 into 700 so 700÷12=58.333333333333 and so your percentage is 58.3%
