You have six trophies to arrange on the top shelf of the bookcase how many ways are there to arrange the trophies

Answers

Answer 1
Answer:

Answer:

So, we can do it in 720 ways.

Step-by-step explanation:

We have been given total of six trophies to arrange in the top shelf of the bookcase  

If we need to arrange n things in different ways we can do it in n! ways

Similarly, Here we will do it in 6! ways

n!=n(n-1)(n-2).....1

So, 6!=6 x 5 x 4 x 3 x 2 x 1=720


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Answers

Have a good day :).......

A car leaves a town traveling at 60 miles per hour. Two hours later, a second car leaves the town traveling the same route and overtakes the first car in 6 hours and 40 minutes. How fast was the second car traveling?

Answers


After two hours, the first car has traveled (2 x 60) = 120 miles.
That's the gap that the second car has to close.

The second car closes the gap of 120 miles in 6-2/3 hours.
He must have exceeded the first car's speed by (120/6-2/3) mph.

6-2/3 = 20/3

120 divided by 20/3  =  120 x 3/20 = 360/20  =  18 mph

The second car exceeded the first car's speed by 18 mph,
so he had to be traveling (60 + 18) = 78 mph to catch up.

Check:

In 6-2/3 hours . . .

The first car covers  (60 x 20/3) = 400 miles.

The second car covers  (78 x 20/3) = 520 miles.
This is the same distance as the first car PLUS the 120
that he was behind when he started out.
                                                                     yay !


78 mph
The second car travels 520 miles in 400 minutes. 520/400=1.3. 1.3*60=78.

If 90% of the answers were correct then what percent were incorrect what percent were incorrect

Answers

10%. Because 100% -90% is 10%
10% of the answers would be wrong beacuse 100% is also equal to 1, and if only 90% of the answers were incorrect, that would be equal to 0.9. To get from 0.9 to 1, you add 0.1, or 10%

What is 7/10-14/100 in simplest form

Answers

(7)/(10)-(14)/(100)=0.7-0.14=0.70-0.14=0.56
first you have to make the fractions have the same denominator. so change 7/10 to 70/100. so that would be 70 minus 14. so the answer is 56/100. which can be simplified into 14/25.

3. What is the slope and the y-intercept ofthe line represented by equation:
2x + y = 1?
Explanation:

Answers

Answer:

The slope is -2/1 or simplified -2 and the y-intercept is 1

Step-by-step explanation:

Determine the pattern rule for the table and write it as an equation.​

Answers

Answer:

The rule is: y = -10x+85

Step-by-step explanation:

The rule is given by:

y = mx+b

Here m is the gradient and b is the y-intercept.

We have to take two pairs of input-output to find the rule

Let the two pairs be:

(x1,y1) = (1,75)

(x2,y2) = (2,65)

Slope is found using the formula:

m = (y_2-y_1)/(x_2-x_1)

Putting the values

m = (65-75)/(2-1)\nm = -10

Putting the value of slope

y = -10x+b

Putting a pair of input-output in the equation (1,75)

75 = -10(1) +b\n75 = -10+b\nb = 75+10\nb = 85

Putting the value of b

y = -10x+85

Hence,

The rule is: y = -10x+85