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

1 answer:

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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A bag contains 10 red marbles, 7 green marbles. and 8 striped marbles. A marble is picked, then put back into bag. Find P(green

SIZIF [17.4K]

G = number of green = 7

S = number of striped = 8

T = number total = 10+7+8 = 25

probability of picking green = P(G) = G/T = 7/25

probability of picking striped = P(S) = S/T = 8/25

P(green and striped) = P(G)*P(S) ... events are independent

P(green and striped) = (7/25)*(8/25)

P(green and striped) = (7*8)/(25*25)

P(green and striped) = 56/625

P(green and striped) = 0.0896

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In summary, the answer as a fraction is 56/625

In decimal form, the answer is 0.0896

The value 0.0896 can be converted to percent form to get 8.96%

8 0

3 years ago

Find the length of the side of rhoumbus whose diagonals are of length 6cm and 8cm.

Artist 52 [7]

Answer:

In a rhombus, the diagonals bisect at right angles. That means half the diagonals form a right angle triangle then we can try the Pythagorean theorem. so -

one side of triangle = 6/2 =3 (half of the diagonal)

other side = 8/2 = 4

a^2 + b^2 = c2

3 ^2 + 4^2 = c^2

9+16 = c^2

c^2=25

c = $\sqrt{25}$ = 5