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3 years ago

30 Points!! Please answer the question in full detail!!

Mathematics

1 answer:

zalisa [80]3 years ago

7 0

Step-by-step explanation:

Let's find the equation of the line first.

x + 2y = 4

2y = -x + 4

y = -1/2 x + 2

Graph this line first. Now, we have to find which side of the line we will shade. Let's plug in (0, 0) to the original inequality. We get 0 + 0 ≤ 4, which is a true statement, so we will shade below the line. We will keep the line solid because the comparison is ≤, meaning all the points on the line are also solutions to the inequality. Hope this helps!

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Please help me again!!!!!!!!

Kazeer [188]

Answer:

Huan receives 3.33 pounds (£) every week

Step-by-step explanation:

We can calculate this by dividing the amount for 5 weeks and dividing by 5 to find the amount of pocket money for each week. 16.65/5 = 3.33, which means that he receives 3.33 pounds (£) every week for pocket money.

8 0

3 years ago

Read 2 more answers

Which of the following is the most appropriate unit to describe the rate at which people are entering a theme park?

ad-work [718]

The correct answer is:

d) People per hour, because the dependent quantity is the people

Explanation:

In this situation, the two quantities are people and hours. These are the two things in this problem we can count or measure.

The independent variable is the one that causes a change, while the dependent variable is the one that gets changed. In this situation, the number of people change every hour; this means the number of people gets changed, which makes it the dependent variable. This means that the independent variable must be time.

Since people is dependent and time is independent, "people per hour" would be the best form of this statement.

6 0

3 years ago

On a test that has a normal distribution, a score of 49 falls two standard deviations

julsineya [31]

Answer:

57 mean

Step-by-step explanation:

x = mean

(x - 49 ) = 2 ( 61 -x)

x = 57

5 0

3 years ago

Chef Alfredo invested $4800 at a simple interest rate of 5% and can now afford a $6,000

KonstantinChe [14]

Answer:

5 years

Step-by-step explanation:

The difference in the amounts is the total interest:

6000 - 4800 = 1200

Yearly interest is:

4800*0.05 = 240

Time in years:

1200/240 = 5

7 0

3 years ago

The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. The Mighty Clean Car Wash charge

DerKrebs [107]

Answer:

Josh would need to purchase 20 gallons of gas for the cost to be the same at each car wash

Step-by-step explanation:

We need to model both car wash's costs. The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. If x is the number of gallons of unleaded gasoline. the total charges of this store are:

C1=15+2.5*x

The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per gallon for unleaded gasoline. Following the same procedure, their costs are:

C2=10+2.75*x

Josh wants to know how many gallons of gas will make both businesses charge the same. Equating both equations:

15+2.5*x=10+2.75*x

Simplifying:

-0.25x=-5

Solving:

x=-5/(-0.25)=20

Josh would need to purchase 20 gallons of gas for the cost to be the same at each car wash

3 0

4 years ago