Which problem is modeled on the number line?<br> 3+(-6)<br> -3+(6)<br> 3+6<br> -3+6

Two skateboarders, Ron and Bob, are traveling in opposite directions.Ton travels at 8 feet per second and bob travels at 10 feet

omeli [17]

Time taken before they are 2640 feet is 146.67 seconds

<em><u>Solution:</u></em>

The distance is given by formula:

$distance = speed \times time$

<em><u>Ton travels at 8 feet per second</u></em>

Let us assume, time taken = t

speed = 8 feet per second

Then, distance is given as:

Distance covered by Ton = 8t

<em><u>Bob travels at 10 feet per second</u></em>

Then, distance is given as:

Distance covered by Bob = 10t

How long will it take before they are 2640 feet

Which means,

Distance covered by Ton + Distance covered by Bob = 2640

$8t + 10t = 2640\\\\18t = 2640\\\\Divide\ both\ sides\ of\ equation\ by\ 18\\\\t = 146.67$

Thus time taken before they are 2640 feet is 146.67 seconds

<h3><u>Method 2:</u></h3>

Since trains are moving in opposite directions, their speeds must be added

speed = 8 + 10 = 18 feet per second

Given distance = 2640 feet

Therefore, time taken is:

$time = \frac{distance}{speed}\\\\time = \frac{2640}{18} = 146.67 \text{ second }$

Thus time taken before they are 2640 feet is 146.67 seconds

4 0

3 years ago

Point A is at (-2,-2)?<br> true or false

vladimir1956 [14]

A= (2,-2)
B= (-2,-2)
C=(2,4)
D=(-2,2)

if this helped Brainliest me on this answer it helps alot :))

6 0

1 year ago

in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alpha

algol13

118,813,760 different combination license plates can the country produce

<h3 /><h3>permutations and combinations:</h3>

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.

given that

in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet

X = 10 × 26 × 26 × 26 × 26 × 26

= 10 × 11881376

= 118,813,760

118,813,760 different combinations license plates can the country produce

To learn more about combinations:

brainly.com/question/19692242

#SPJ4

3 0

9 months ago

A hotel sets up tables for a conference for 156 people. If each table seats 12 people, how many tables will be needed? Use an ar

Helen [10]

The answer is 13 tables

6 0

2 years ago

Read 2 more answers

6:20=9:x=x:10=x:60=16:x=12:x

ivolga24 [154]

6:20=9:30=3:10=18:60=16:160/3=12:40

Step-by-step explanation:

The question requires you to find value of x in the ratios given;

Start with the first pair

6:20 = 9:x

6/20 =9/x

6x=20*9

6x=180

x=180/6=30 ⇒⇒ 6:20 = 9:30

The second pair after replacing the value of x=30 will be

9:30 = x:10

9/30=x/10

90=30x

90/30 =x

3=x⇒⇒ 9:30 = 3:10

The third pair after replacing value of x=3 will be

3:10 =x:60

3/10 =x/60

180=10x

180/10 =x

18=x ⇒⇒ 3:10 = 18:60

The fourth pair after replacing value of x=18 will be;

18:60 = 16:x

18/60 = 16/x

18x=16*60

x= (16*60)/18 =160/3

x= 160/3 ⇒⇒⇒ 18:60 = 16: 160/3

The firth pair after replacing value of x=160/3 will be;

16: 160/3 =12:x

16x= 160/3 *12

16x = 160 * 4

x= (160 *4 )/16

x=40

⇒⇒ 16: 160/3 = 12: 40

Learn More

Ratios and proportions :brainly.com/question/9512748

Keywords : ratio, value of x, proportion

#LearnwithBrainly

6 0

3 years ago

Which problem is modeled on the number line? 3+(-6) -3+(6) 3+6 -3+6