A 2x+5^0 4х+10 х+25 B

If 75 people attend a concert and tickets for adults cost $2.75 while tickets for children cost $2.25 and

Serhud [2]

Answer:

Adult = 39

Children = 36

Step-by-step explanation:

The total number of people = 75

Cost of adult ticket = $2.75

Cost of children ticket = $2.25

Total receipts = $188.25

Let the number of adult = x

Let the number of children = y

X + y = 75 ......equation (i)

(X × 2.75) + (y × 2.25) = 188.25

2.75x + 2.25y = 188.25.......equation (ii)

To find the numbe of adult and children that attended, we'll have to solve equation (i) and (ii) simultaneously.

From equation 1,

X + y = 75

X = 75 - y......equation(iii)

Put equation (iii) into equation (ii)

2.75*(75 - y) + 2.25y = 188.25

206.25 - 2.75y + 2.25y = 188.25

206.25 - 0.5y = 188.25

Collect liketerms

0.5y = 206.25 - 188.25

0.5y = 18

Y = 18 / 0.5

Y = 36

Put y = 36 into equation (i)

X + 36 = 75

X = 39

Therefore the number of adult is 39 while that of children is 36.

4 0

4 years ago

Work out 5/8−2/5 Give your answer in its simplest form.

Inessa05 [86]

$\frac{5}{8} - \frac{2}{5}$

First, find the LCD (least common denominator) of the two fractions.
List the multiples of each denominator and find the one that is common.
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
40 is your LCD.

Second, what can you divide by to make the denominators of each fraction '40'? Whatever you do to the bottom you must do to the top.
$\frac{5*5}{8*5} - \frac{2*8}{5*8}$

Third, multiply.
$\frac{25}{40} - \frac{16}{40}$

Fourth, since the denominators are the same now, we can combine them.
$\frac{25-16}{40}$

Fifth, subtract '25 - 16' to get 9.
$\frac{9}{40}$

Since $\frac{9}{40}$ is already in the simplest form, it is your answer.

Answer as fraction: $\frac{9}{40}$
Answer as decimal: $0.225$

7 0

3 years ago

If five slices of pizza costs 5.50 how much would two slices cost? ten slices? half a slice?

tensa zangetsu [6.8K]

Answer:

The first thing we must do for this case is to define variables.

We have then:

x: number of slices

y: total cost

We write the linear function that relates the variables.

We have then:

Then, we evaluate the number of slices to find the total cost.

-two slices cost:

We substitute x = 2 in the given equation:

Answer:

two slices = 2.2 $

-ten slices cost:

We substitute x = 10 in the given equation:

Answer:

ten slices = 11 $

-half a slice cost:

We substitute x = 1/2 in the given equation:

Answer:

half a slice = 0.55 $

3 0

3 years ago

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. Select all that apply.

sergij07 [2.7K]

We can use using graphing technology to solve the system of equations here.

So draw sketch of graphs $y = 8^{(x-9)}$ and $y = log (3x) +2$ on graphing calculator. you will get sketch as shown

Take pointer to point of intersection as shown. It displays (x,y) coordinate of points of intersection as (9.597, 3.459) as show in figure.

Now round off these values to nearest tenth thats one digit after decimal dot.

so to round 9.597 to one decimal place we will see 2nd decimal digit(next to place where you have to round off) which is 9 here and as 9 is greater than 5 so we will increase 1st decimal place digit by 1, so round to one decimal place will be 9.6.

Similarly to round off 3.459 to one decimal place we will see 2nd decimal digit which is 5. Again as its equals 5 we will increase the 1st decimal digit by 1 for round off. So final round off to one decimal place will be 3.5

So final answer for solution set will be choice C (9.6, 3.5)

8 0

3 years ago

Read 2 more answers

Solve for x. (x+16) (4x-5)° 11 7 9 13

antiseptic1488 [7]

Answer:

4

3

+

5

9

2

−

8

0

Step-by-step explanation:

5 0

2 years ago