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Ipatiy [6.2K]
3 years ago
13

What is a real-world situation that can be modeled by the equation | x - 14 | = 3?

Mathematics
1 answer:
Anna [14]3 years ago
5 0
Absolute value is the distance/difference from a number to the standard number. In this case, the standard value is 14. Let's say 7-year-old Mike is riding his bike up and down the neighborhood street. Mike's house is located on 14th Avenue. Mom told Mike to stay within 3 blocks from home, so Mike can go as far north the 17th street and as far south to 11th street. 
x-14=3 or x-14=-3
x=17 or x=11

I hope this makes sense to you.
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The ratio of red tacks to blue tacks on the bulletin board is 3 to 5. There are 50 blue tacks. How many red tacks are there?
bazaltina [42]

Answer:

If we want our ratio to stay the same (3 to 5), we'll need to pair a set of 3 blue tacks with every set of 5 red tacks. In a group of 50, we can make 10 groups of 5 red tacks, so we'll also need 10 groups of 3 blue tacks, which gives us a total of 30 blue tacks

5 0
3 years ago
Calculate the circumference and area of this circle. 4cm radius​
Alja [10]

Answer:

the circumference is 25.133 and the area is 50.265

5 0
3 years ago
Read 2 more answers
20 points !!! -3/8x-20+2x>6
Semenov [28]

Answer:

x > 16

Step-by-step explanation:

- \frac{3}{8} x -20+2x>6

Add 20 to both sides:

-  \frac{3}{8} x + 2x > 26

Multiply 8 on both sides:

- 3x + 16x > 208

13x > 208

Divide by 13 on both sides:

x > 16

3 0
3 years ago
Read 2 more answers
The perimeter of a rectangular field is 26 yards. The length is 4 more yards than twice the width. Find the length and width of
solong [7]

The formula for perimeter is P = 2length + 2width (P = 2L + 2W)

You know that the length is 4 more yards then twice the width. In equation form this would be:

length = 4 + 2w

Plug what you know into the perimeter formula:

26 = 2(4 + 2w) + 2w

First you must distribute the 2 to the numbers inside the parentheses, which would be 4 and 2w...

26 = (2 * 4) + (2 * 2w) + 2w

26 = 8 + 4w + 2w

Now you must combine like terms. This means that first numbers with  the same variables (w) must be combined...

26 = 8 + 4w + 2w

4w + 2w = 6w

26 = 8 + 6w

Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.

26 - 8 = 8 - 8 + 6w

18 = 0 + 6w

18 = 6w

To isolate w divide 6 to both sides

18 / 6 = 6w / 6

w = 3

We know that the width is 3 ft

Now you must find the length. To do this plug 3 where you see w in the equation:

length = 4 + 2w

l = 4 + 2(3)

l = 4 + 6

l = 10

We know that length is 10 ft

Letter B. is the correct answer

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
3 years ago
Two numbers have a sum of 77. If one number is p, express the other number in terms of p.
zhannawk [14.2K]

Answer: 77-p

Step-by-step explanation:

o=other number

o+p=77

o+p-p=77-p

o=77-p

3 0
2 years ago
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