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LekaFEV [45]
4 years ago
5

This is worth 4 marks

Mathematics
1 answer:
tresset_1 [31]4 years ago
6 0
1. x = cost of one adult ticket
y= cost of one child ticket

2x+3y=31.60
x+2y=18.60 l multiply by -2

2x+3y=31.60
-2x-6y=-37.2
-3y=-5.6
y=1.87

2x+3(1.87)=31.60
2x+5.6=31.60
2x=31.60-5.6
2x=26
x=26/2
x=13

Answer: The adult ticket is $13 and the child ticket is $1.87
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The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho
pav-90 [236]

Answer:

  • <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>

Explanation:

<u>Rewrite the table and the choices for better understanding:</u>

<em>Enrollment at a Technical School </em>

Year (x)       First Year f(x)      Second Year s(x)

2009                  785                        756

2010                   740                        785

2011                    690                        710

2012                   732                         732

2013                   781                          755

Which of the following statements is true based on the data in the table?

  • The solution to f(x) = s(x) is x = 2012.
  • The solution to f(x) = s(x) is x = 732.
  • The solution to f(x) = s(x) is x = 2011.
  • The solution to f(x) = s(x) is x = 710.

<h2>Solution</h2>

The question requires to find which of the options represents the solution to f(x) = s(x).

That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.

The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>

Thus, the correct choice is the third one:

  • The solution to f(x) = s(x) is x = 2012.
8 0
3 years ago
PLS HELP ME IM BEGGIN YOU THIS IS DUE IN 5 MIN
drek231 [11]

Answer:

3/10

Step-by-step explanation:

Let's assume;

30 ml of Orange Juice + 45 ml of Apple Juice + 25 ml of Coconut milk = 1 glass of Cocktail

30 ml : 45 ml : 25 ml = 1

30 + 45 + 25 = 100 ml = 1 glass of Cocktail

Orange juice proportion = Amount of Orange Juice in ml ÷ 1 glass of Cocktail in ml

Orange Juice proportion = 30 ml ÷ 100 ml

= 3/10

6 0
3 years ago
Read 2 more answers
I'm having trouble on ixl here is what I have to do
Sophie [7]

Answer:

6(9r-7)

Step-by-step explanation:

54r–42

Both 54 and 43 can be divided by 6

54/6 =9  and 42/6 =7

6*9r - 6*7

Factor out the 6

6(9r-7)

8 0
3 years ago
Read 2 more answers
Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8
bonufazy [111]

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

(4²–i²)=16–i

I hope this answer is correct so please vote my answer

3 0
3 years ago
Aaron is using a special beaker in science that is a cylinder with a radius of 2 cm and a height of 3 cm on top of a cylinder th
Vilka [71]
Since in the above case, the beaker has two sections each with different radius and height, we will divide this problem into two parts.

We will calculate the volume of both the beakers separately and then add them up together to get the volume of the beaker.

Given, π = 3.14

Beaker 1:

Radius (r₁) = 2 cm
Height (h₁) = 3 cm

Volume (V₁) = π r₁² h₁ = 3.14 x 2² x 3 = 37.68 cm³

Beaker 2:

Radius (r₂) = 6 cm
Height (h₂) = 4 cm
Volume (V₂) = π r₂² h₂ = 3.14 x 6² x 4 = 452.16 cm³

Volume of beaker = V₁ + V₂ = 37.68 + 452.16 = 489.84 cm³


7 0
3 years ago
Read 2 more answers
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