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Anna007 [38]
3 years ago
6

I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number

and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

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3 years ago
Write an inequality for x that would give this rectangle a perimeter of at least 300ft
Travka [436]

Answer:

The inequality for x is:

x\geq 142

Step-by-step explanation:

Given:

Width of rectangle = 3 ft

Height or length of rectangle = (x+5) ft

Perimeter is at least 300 ft

To write an inequality for x.

Solution:

Perimeter of a rectangle is given as:

⇒ 2l+2w

where l represents length of the rectangle and w represents the width of the rectangle.

Plugging in the given values in the formula, the perimeter can be given as:

⇒ 2(x+5)+2(3)

Using distribution:

⇒ 2x+10+6

Simplifying.

⇒ 2x+16

The perimeter is at lest 300 ft. So, the inequality can be given as:

⇒ 2x+16\geq 300

Solving for x

Subtracting both sides by 16.

⇒ 2x+16-16\geq 300-16

⇒ 2x\geq284

Dividing both sides by 2.

⇒ \frac{2x}{2}\geq \frac{284}{2}

⇒ x\geq 142   (Answer)

7 0
3 years ago
The Thomas family bought 5 subs and 4 drinks. They spent 49.50 write and equation that models this situation define x and y vari
OlgaM077 [116]

Answer:

5x+4y=49.50, where:

x is the price per sub

y is the price per drink

Step-by-step explanation:

From the information provided, you can say that the result of adding up the price per sub for the quantity plus the price per drink for the quantity is equal to 49.50 that is the total amount spent, which can be expressed as:

5x+4y=49.50, where:

x is the price per sub

y is the price per drink

5 0
3 years ago
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