Could you guys help me and explain them please.Directions: Define a variable and write an inequality to model each situation. You must show all work to receive full credit. (1 point for defining the variable, 1 point for a correct inequality)
Example:
A truck can tow at most 12,000 lbs.
Let t represent the amount that the truck can tow.
t ≤ 12,000

8. The restaurant can seat at most 172 people.

9. A person must be at least 35 years old to be elected president.

10. A law clerk earned more than $20,000 since being hired.

11. A local pizzeria offered a special. Two pizzas cost $14.99. A group of students spent less than $75. They purchased three pitchers of soda for $12.99. How many pizzas could the group purchase? (1 point for writing an inequality to represent this situation, 1 point for determining how many pizzas could be purchased)

Answers

Answer 1

Answer: 8. The restaurant can only seat 172 people, so the equation would be s ≤ 172 ( s = amount of seating). So, s has to be less than or equal to 172.
9. The person has to be at the least 35 years old, so the equation would be p ≥ 35 (p = person running for president). So the person would have to be equal to or older than 35.
10. Okay, so the person made any number greater than $20,000, so the equation is c > $20,000 ( c = law clerk) because it has to be bigger than $20,000.
11. So the equation for how much they spent is s < $75 ( s = students). But since they spent at least $12.99, the equation for pizzas purchased would be $12.99 < p < $75 (p = pizzas) because it would have to be between $12.99 and $75.

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A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a purple marble and then a white marble? What is the probability of selecting two white marbles? Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

Answers

1. The probability of selecting a purple marble and then a white marble:
P ( P + W ) = 7/9 * 2/8 = 7/36
2. The probability of selecting two white marbles:
P( W + W ) = 2/9 * 1/8 = 1/36
3. P ( P +P ) = 7/9 * 6/8 = 21/36 = 7/12
The probability of selecting 2 purple marbles in a row is much greater than selecting two white marbles.

The probability of selecting a purple marble and then a white marble is 0.19.

The probability of selecting two white marbles is 0.03.

The probability of picking two purple marbles is greater.

What are the probabilities?

Probability is used to determine the likelihood that an event would occur.

The probability of selecting a purple marble and then a white marble = (number of purple marbles / total number of marbles) x (number of white marbles / total number of marbles- 1)

7/9 x 2/8 = 0.19

The probability of selecting two white marbles = (number of white marbles / total number of marbles) X (number of white marbles / total number of marbles- 1)

2/9 X 1/8 = 0.03

The probability of selecting two purple marbles = 7/9 x 6/8 = 0.58

To learn more about probability, please check: brainly.com/question/23722574

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What is 2.9% of 1000

Answers

' 2.9% ' means ' 0.029 '

' of ' means ' times '

' 2.9% of 1,000 ' means ' 0.029 x 1,000 '

0.029 x 1,000 = 29

1000 x 2.9 %= 29. This is how my math teacher told me how to do it.

Someone plz help me :(

Answers

Answer:

i can JUST GET ON YOUR CROME BOOK

Step-by-step explanation:

A circular piece of metal has a radius of 3.5 meters. The metal sells for $3.25 per square meter.

What is the total cost of the circular piece of metal?

A.
$11.38

B.
$38.47

C.
$71.44

D.
$125.01

Answers

Use the formula for finding the area of a circle, then multiply it by each square meter.

A = π r²
A = π (3.5)²
A = 12.25π
A = 38.485

C = 3.25(38.485)
C = 125.01

Answer = $125.01

Area of circle = πr²

Radius, r = 3.5m,

Area = πr² = π*3.5*3.5 = 12.25π m²

Area ≈ 12.25 *3.141 ≈ 38.477 m²

Since the metal sells for $3.25 per square meter.

Total cost for 38.477 m² = 38.477 * 3.25 = 125.05

Answer is = $125.05

The answer is not really there, but let's say we can manage option D which is $125.01.

$800 is deposited in an account that pays 9% compounded semi-annually. Find the balance after 4 years.

Answers

The formula for compound interest is the following:

A=P(1+r/n)^nt
A=accumulated amount (what we're looking for)
P=Principal amount (initial amount). $800 in this case
r=rate. 0.09 in this case which we get from converting 9% to decimal by dividing by a 100.
n=number of times interest is compounded. In this case semi-annually which means 2
t=time. In this case 4 years
Let's calculate:
A=800(1+0.09/2)^(2*4)
A=800(1+0.045)^8
A=800(1.045)^8
A=800(1.42210061284)
A=1137.68049027
Let's round to the hundredth place (to represent cents) since the amount represents money.
Answer=The balance after 4 years will be $1,137.68

Answer:

Principal = $ 800

Time = 4 years

Rate of Interest = 9% compounded Semi Annually

$=(9\pr)/(2)$