Decimals between 0 and 0.002

At the movie theatre, child admission is $6.30 and adult admission is $9.90 . On Monday, 159 tickets were sold for a total sales

frez [133]

C = child tickets
a = adult tickets

Solve this with the substitution method.
Make two equations:

6.30c + 9.90a = 1,246.50
c + a = 159

Solve for c.
Subtract 9.90a from both sides.

6.30c = 1,246.50 - 9.90a
Divide both sides by 6.30.

c = 197.86 - 1.57a (rounded to hundredths)
Plug c into second equation.

197.86 - 1.57a + a = 159
Combine like terms.

197.86 - 0.57a = 159
Subtract 197.86 from both sides.

-0.57a = -38.86
Divide both sides by -0.57.

a = 68.18
round up to ones: 68

 $\boxed {68~adult~tickets}$ were sold.

8 0

3 years ago

A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property t

Tamiku [17]

Answer:

C) I & III

Step-by-step explanation:

Given:

Sample size, n = 18

Sample proportion = 25% = 0.25

Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.

For the normal condition to be satisfied, np should be greater than 10, ie np > 10.

In this case, np = 18 * 0.25 = 4.5

Since np is less than 10, the normal condition was not satisfied.

For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.

Here, the sample size is 18 and the population is 1500. Therefore,

$\frac{18}{1500} * 100 = 1.2$

Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.

The correct option is C, because only I & III were satisfied.

4 0

3 years ago

HELP HELP HELP HELP HELP HELP

Firlakuza [10]

Answer:

Step-by-step explanation:

6 0

2 years ago

A garden is 4 yards 24 inches wide and 4 yards long. Write the ratio of the width to the length as a fraction in simplistic form

Lana71 [14]

Answer:

7/6

Step-by-step explanation:

The width to length ratio is ...

... width / length = (4 2/3 yards)/(4 yards) = (14/3)/4 = 14/12

... width/length = 7/6

8 0

3 years ago

Find the slope of the line: x/-1 + y/6 = 1

pychu [463]

The slope-intercept form: y = mx + b

m-the slope

$\dfrac{x}{-1}+\dfrac{y}{6}=1\\\\-x+\dfrac{y}{6}=1\ \ \ \ |add\ x\ to\ both\ sides\\\\\dfrac{y}{6}=x+1\ \ \ \ |multiply\ both\ sides\ by\ 6\\\\y=6x+6\\\\\\Answer:\boxed{The\ slope\ m=6}$

6 0

3 years ago