Write in word form: 40-(8+6)

A local drama production sold tickets for a play. Adult tickets sold for $10 each and child tickets sold for $5

Nezavi [6.7K]

Answer:

a) The total cost will therefore be :

$10x + $5y = $1750

(ii) The total number of people will therefore be written as:

x + y = 225

(b) Adult ticket = 125 , children = 100

Step-by-step explanation:

Let x represent the total number of adult and let y represent the total number of children.

The cost of ticket for 1 adult = $10 , therefore:

The cost ticket for x adults = $10x

The cost of ticket for a child = $5 , therefore :

the cost of ticket for y children = $5y

This means that

(a) The total cost will therefore be :

$10x + $5y = $1750

(ii) The total number of people will therefore be written as:

x + y = 225

(b) combining the two equations together , we will have

10x + 5y = 1750 ............................... equation 1

x + y = 225 ....................................... equation 2

solving the resulting linear equations by elimination method, from equation 2, make x the subject of formula, equation 2 then becomes

x = 225 - y ....................... equation 3

substitute x = 225 - y into equation 1 , equation 1 then becomes

10 ( 225 - y ) + 5y = 1750

expanding , we have

2250 - 10y + 5y = 1750

2250 - 5y = 1750

2250 - 1750 = 5y

500 = 5y

divide through by 5

y = 100

substitute y = 100 into equation 3 to find the value of x

x = 225 - 100

x = 125

Therefore : 125 adults ticket were sold and 100 children tickets were sold

(c) check : we will substitute the number of each tickets sold into the equation

10x + 5y = 1750

x = 125 , y = 100

10 ( 125 ) + 5 (100)

1250 + 500

= 1750

Also

x + y = 225

125 + 100 = 225

8 0

3 years ago

Round to the nearest tenth 2.8151

Paraphin [41]

._ is the tenths place . Therefore the answer is 2.8

5 0

2 years ago

Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu

Murljashka [212]

Answer:

The value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

Step-by-step explanation:

We know that the position function is given by

$s(t)=30t-\frac{g_s}{2} t^2$

Velocity is defined as the rate of change of position. Therefore,

$v(t)=\frac{d}{dt}(s(t))$

So, the velocity function is

$v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st$

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

$v(t)=30-g_st=0\\\\g_s=\frac{30}{t}$

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).

So, the value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

5 0

3 years ago

Using the number 686293, what is the value of the digit 8

marysya [2.9K]

To find what the value of the digit 8 is, we can start by moving from the right. In a number, the place value goes (from right to left) ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions and so on. Now we can find out what each of the numbers is.

Since 3 is the first, that means 3 is in the ones place.

Since 9 is second, that means that 9 is in the tens place.

Since 2 is third, that means that 2 is in the hundreds place.

Since 6 is fourth, that means that 6 is in the thousands place.

Now, we have 8. Since 8 is fifth, that means that 8 is in the ten-thousands place. But that's not the value of the eight. The value of the 8 would be it's place value (10,000) times 8. 10,000 * 8 = 80,000, so the value of the digit 8 in the number 686293 is 80,000.

8 0

3 years ago

Calculate the length of side AC:

lisabon 2012 [21]

Answer:

146⁰ + x = 180

x = 34⁰ is AC ..a..a.

3 0

3 years ago