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3 years ago

3x into 4x minus 5 plus 3 if x is equal to 1/2

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer: 8 3/4

Step-by-step explanation:

3x(4x-5+3); where x is 1/2

Substitute the value 1/2 with x

3 1/2 (4 1/2 - 5+3)

7/2 (9/2 -2)

7/2 (5/2)

35/4 = 8 3/4

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Total 427 tickets sold 73 fewer student tickets than adult tickets how many adult tickets

viktelen [127]

9514 1404 393

Answer:

250

Step-by-step explanation:

Let 'a' represent the number of adult tickets.

a +(a -73) = 427

2a = 500 . . . . . add 73

a = 250 . . . . . . divide by 2

250 adult tickets were sold.

_____

Additional comment

I call this a "sum and difference problem" because we are given the total of two values and the difference between them. As you can see here, the larger of the two values is the average of the given numbers, their sum divided by 2. This is the generic solution to such a problem: the larger number is the average of the given sum and difference.

8 0

3 years ago

A 10 metre length of Wood is marked out into 10 equal lengths. How many metres from one end is the third mark?

Eduardwww [97]

3 metres from one end to the third mark

Solution:

Total length of wood = 10 metre

Wood is marked into 10 equal length.

$$\text{Length of each marking}=\frac{\text{Total length}}{\text{Number of marking}}$

$$=\frac{10}{10}$

= 1 metre

Length of each marking = 1 metre

Number of metres from one end to third mark = 1 + 1 + 1 = 3 metre

The image of the marking is attached below.

Hence 3 metres from one end to the third mark.

7 0

3 years ago

Using the Quadratic Formula, which of the following is the solution to the quadratic equation x2 + 2x - 3 = 0?

saw5 [17]

Answer: x=1 or x=-3

Step-by-step explanation:

Quadratic formula is $-b+-\sqrt{b^{2}-4ac } /2$

a=1 b=2 c=-3

Substitute

$(-2+-\sqrt{2^{2}-4(1)(-3) }) /2\\(-2+-\sqrt{4+12}) /12\\(-2+-\sqrt{16}) /2\\(-2+-4) /2\\x=\frac{-2+4}{2} \\x=\frac{-2-4}{2} \\\\\\Simplify\\x=\frac{2}{2} \\\\x=\frac{-6}{2} \\\\Simplify\\x=1\\x=-3$