Luke cut down a tree that was 25.8 feet tall. Then he cut the tree into 6 equal pieces to take it away.

SashulF [63]

Answer:

3.2 km/h

Step-by-step explanation:

1. Approach

The average speed is the rate at which one travels. It can be found by diving the total distance traveled over the total time it took to cover that distance. In essence, the following formula can be used to find the average speed:

$\frac{total\ distance}{total\ time}=average\ speed$

In this situation, one is asked to find the difference between two people's average speed. One is given the following information:

Lena: 24 miles 1.5 hours

Ras: 36km 1 hour 15 minutes

First, convert all of the numbers into the correct units (km) and (hours). Then find the average speed for each person. Finally, subtract the smaller speed from the larger speed to find the difference in the average speeds.

1. Find Lena's average speed

The problem asks one to find the average speed in the units (km/h). However, the distance Lena covered is given in (miles). Therefore, one has to multiply it by the conversion factor (1.6) in order to convert it from (miles) to (km).

24miles * 1.6 = 38.4

Now find the average speed by using the formula:

$\frac{total\ distance}{total\ time}=average\ speed$

Substitute,

$\frac{38.4}{1.5}\\\\=25.6$

2. Find Ras's average speed

Use a similar approach to work out Ras's average speed, as was used to find Lena's average speed. Since Ras's time spent is given in both hours and minutes, one must convert it to just minutes. There are (60) minutes in an hour, thus, one can rewrite the number as the following:

$1\ hour \ \ 15\ minutes= 1 \frac{15}{60}\ hours = \frac{75}{60}\ hours$

Now find the average speed:

$\frac{total\ distance}{total\ time}=average\ speed$

Substitute,

$\frac{36}{\frac{75}{60}}\\\\=28.8$

3. Find the difference between the speeds

Since Ras's speed is greater, subtract Lena's speed from Ras's speed.

Ras - Lena

= 28.8 - 25.6

= 3.2

6 0

3 years ago

Plz help me pls

NikAS [45]

Answer:

8hr=480min

30min=1800sec

15hr=900min

5yr=1825d

Step-by-step explanation:

8 0

3 years ago

Which line has a slope of 0? O 2y + 8x = 0 Oy= -1 O x=0 O y = x - 1

san4es73 [151]

Would me first one A because I just in the math and it should be right!

6 0

3 years ago

At a salesperson nakia is paid $50 per week plus$3 per sale.This week makati hopes to earn at least $100. Write an inequality fo

Inessa [10]

Answer:

The Inequality representing the number of sales needed is $50+3x\geq 100$ .

Mali need to make at least 17 sales for to earn $100.

Step-by-step explanation:

Given:

Amount paid per week = $50

Amount paid on per sale = 3

Total amount to be earned $\geq$ $100

We need to write and solve the inequality to find the number of sales need to be make.

Solution:

Let the number of sales need to be make be 'x'.

Now we can say that;

Amount paid per week plus Amount paid on per sale multiplied by number of sales should be greater than or equal to Total amount to be earned.

framing in equation form we get;

$50+3x\geq 100$

Hence the Inequality representing the number of sales needed is $50+3x\geq 100$ .

On Solving above Inequality we get;

Subtracting both side by 50 using Subtraction property of Inequality we get;

$50+3x-50\geq 100-50\\\\3x\geq 50$

Now Dividing both side by 3 Using Division property of Inequality we get;

$\frac{3x}{3}\geq \frac{50}{3}\\ \\x\geq 16.66$

Hence Mali need to make at least 17 sales for to earn $100.

4 0

3 years ago

Which expression shows how 8•54 can be rewritten using the distributive property ?

konstantin123 [22]

The distributive property is a(b+c) = ab + ac or a(b-c) = ab - ac

So here are some potential answers:

8(50 + 4) = 8·50 + 8·4

8(60 - 6) = 8·60 - 8·6

I prefer the first answer

8 0

4 years ago