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hjlf
3 years ago
10

A car park charges a certain rate per hour before 3 pm, and a higher rate per hour

Mathematics
1 answer:
taurus [48]3 years ago
4 0

Who's JD?   I'll guess that's money in some country.

This one requires a bit of analysis before writing the equation.  3pm is the time the price changes so

11am to 5 is 4 hours before, 2 hours after, JD18

9am to 7 is 6 hours before, 4 hours after, JD31

OK, let's call the morning rate x and the evening rate y.  

a.

Rate times hours is cost; we have to add up the morning and evening:

4x + 2y = 18

6x + 4y = 31

b.

We multiply the first equation by 2,

8x + 4y = 36

Subtract the second equation,

2x = 36 - 31 = 5

x = 5/2

2y = 18 - 4x

y = 9 - 2x = 9 - 5 = 4

Answer: Our solution is the price was JD 2.50 before 3pm and JD 4 after.

Check:  

2.5(4) + 4(2) = 18 good

2.5(6) + 4(3) = 31 good

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3 years ago
El 5% de los focos producidos por una fabrica son defectuosos. Al extraer una muestra de 6 focos. ¿Cual es la probabilidad de qu
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3 years ago
Given that B, D and F are midpoints, find the length of segment DA.
TiliK225 [7]

Answer:

The length of segment DA is 15 units

Step-by-step explanation:

  • <em>The segment which joining a vertex of  a triangle and the midpoint of the opposite side to this vertex is called a median </em>
  • <em>The point of intersection of the median of a triangle divides each median into two parts the ratio between them is 1: 2 from the base, which means </em><em>the length of the median is 3 times the part from the base</em><em>  </em>

Let us use this rule to solve the question

In Δ AEC

∵ D is the midpoint of EC

∴ AD is a median

∵ B is the midpoint of AC

∴ EB is a median

∵ F is the midpoint of AE

∴ CF is a median

→ The three medians intersected at a point inside the triangle,

   let us called it M

∵ AD ∩ EB ∩ CF at M

∴ M is the point of intersection of the medians of Δ AEC

→ By using the rule above

∴ AD = 3 MD

∵ MD = 5

∴ AD = 3(5)

∴ AD = 15 units

6 0
3 years ago
Read 2 more answers
Which expression is a factor of 12x2 +29x -8
Temka [501]

Answer:

Dear user,

Answer to your query is provided below

(4x−1)(3x+8) is a factor of 12x^2+29x-8

8 0
3 years ago
Use this information to find the value of b.
NNADVOKAT [17]

Answer:

82

Step-by-step explanation:

you multiply 4(25)

which is 100

and then (9)2

which is 18

and then subtract 18 from 100

which gives you 82

6 0
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