At a local river there were 48 alligators laying on the riverbank. if 7/8 of the alligators were sleeping how many were awake

$36 commission on a $400 dryer sale. Then the commission rate will be 0.09. Then the correct option is A.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Mark procures $135 for selling a $1,500 fridge.

The commission rate remains constant. Then the commission rate is given as,

Commission rate = 135 / 1500

Commission rate = 0.09

Let's check all the options, then we have

A)  $36 commission on a $400 dryer sale. Then the commission rate is given as,

Commission rate = 36 / 400

Commission rate = 0.09

$36 commission on a $400 dryer sale. Then the commission rate will be 0.09. Then the correct option is A.

More about the ratio and the proportion link is given below.

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It’s A

$36 commission on a $400 dryer sale is at the same rate. Both have commission rates of 9%.

135

1500

= 0.09

36

400

= 0.09

The distance from the safe zone after t seconds is .

Given

Rachel is a stunt driver.

One time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.

After 4 seconds of driving, she was 70 meters away from the safezone.

What is a linear function?

A linear function containing one dependent and one independent variable.

It is represented in the form of;

Where m is the slope.

Let, D(t) = the distance to the safe zone (measured in meters)

t = time (measured in seconds)

At  seconds t = 4 seconds D(t1) = 70 meters

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.

Hence, the linear function expression is;

The value of b is;

Therefore, the distance from the safe zone after t seconds is .

To know more about the Linear function click the link given below.

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Answer: The required function is,

D(t) = 166 - 4 t

Step-by-step explanation:

Here, the speed of the stunt driver = 24 meters per seconds,

⇒ The distance he will cover in 4 seconds = 24 × 4 = 96 meters

( Distance = speed × time )

According to the question,

The distance of the safe zone from the building where did he escape = 70 meters + The distance he covers in 4 seconds

= 70 + 96

= 166 meters

Hence, if he is driving with the constant speed of 24 meters per minutes,

Then, his distance  from the safe zone after t seconds = 166 - 24 t

⇒ D(t) = 166 - 24 t

Which is the required function.

Answer: 1st graph is the answer, empty boxes for number of friends are 5 and 15 and empty boxes for cost of party are 200 and 400

Step-by-step explanation: when you multiply 20 by the amount of people you get the cost of the party (proportional relationships)

__X__|__Y___

1    |    20

2   |   40

2   |     60

4   |     80

5   |     100

6   |   120

7   |    140

Given the average speed of Serena during her trainingand the time elapsed, the total distance that she ran is 16km.

Option D) 16km is the correct answer.

What is speed?

Speed is simply referred to as distance traveled per unit of time.

It is expressed as;

Speed = distance ÷ time

Hence,

Distance = Speed × time; d = r × t

Given the data in the question;

• Speed or rate r = 8km/hr

• Time elasped t = 2hr

• Distance travelled d = ?

From the given formula;

d = r × t

We substitute our given values into the expression above.

d = 8km/hr × 2hr

d = 16km

Given the average speed of Serena during her trainingand the time elapsed, the total distance that she ran is 16km.

Option D) 16km is the correct answer.

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