Mr. Ferguson reads 1/10 of a book to his class each day. What fraction of the book has Mr. Ferguson read to the class after 5 days?

Answers

Answer 1
Answer: 1/2 of the book because 5/10 can be simplified to 1/2

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What is the value of n in the equation below

2n+1=21

Answers

The value of n obtained from equation 2n+1=21 is 10.

Value of n to be determined in equation 2n+1=21.

What is arithmetic?

Statements execute as mathematical expressions. In arithmetic mathematics deals with various statements, progressions, sequences etc.

Here,
      ⇒2n+1=21
          2n=21-1
          2n=20
           n=20/2
           n=10

Thus, the value of n in equation 2n+1=21 is 10.

Learn more about arithmetic here:

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first, subtract 1 from both sides of the equation.

You are left with 2n=20

Then, divide 2 into 20, and you get 10

So, the value of n is 10

Hope this helped!

Simplify the expression: 2(4x-3)-7(x+1)

Answers

2(4x-3)-7(x+1) first distribute
8x-6-7x+7 then combine the x's
x+13 

A train travels 524 miles in 4, 1/2 hours. Which expression gives the train's speed in miles per hour?

Answers

The expression that gives the train's speed in miles per hour is:

Speed = 524 / 4.5 = 116.44 miles per hour.

To find the train's speed in miles per hour, you can use the formula:

Speed (in miles per hour) = Distance (in miles) / Time (in hours)

In this case, the distance the train travels is 524 miles, and the time it takes is 4 1/2 hours. To convert 4 1/2 hours into a decimal, you can calculate it as follows:

4 1/2 hours = 4 + 1/2 = 4.5 hours

Now, you can use the formula to calculate the speed:

Speed (in miles per hour) = 524 miles / 4.5 hours

Speed (in miles per hour) = 116.44 miles per hour (rounded to two decimal places)

So, the expression that gives the train's speed in miles per hour is:

Speed = 524 / 4.5 = 116.44 miles per hour

To Learn more about Distance here:

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524/4.5=116.6666 and so on. So D is going to be the total distance and T is going to be the total time and M is going to be the MPH.

D/T=M

A, B and C are collinear and B is between A and C. The ratio of AB to AC is 1:3. If A is at (2,-6) and B is at (3,-1) what are the coordinates of point C

Answers

Answer:

The coordinate of C is (5,9)

Step-by-step explanation:

A, B and C are collinear and B is between A and C.

The ratio of AB to AC is 1:3

If A is at (2,-6) and B is at (3,-1)

AB:AC = 1:3

B is between A and C

AB:(AB+BC) = 1:(1+2)

Therefore, AB:BC = 1:2

Let the point C (a,b)

Using section formula:

x\rightarrow (mx_2+nx_1)/(m+n)

y\rightarrow (my_2+ny_1)/(m+n)

where,

m\rightarrow 1

n\rightarrow 2

x_1m\rightarrow 2

y_1\rightarrow -6

x\rightarrow 3

y\rightarrow -1

Substitute into formula and solve coordinate point C

3=(1\cdot a+2\cdot 2)/(1+2)

3=(a+4)/(3)

a=5

-1=(1\cdot b-6\cdot 2)/(1+2)

-1=(b-12)/(3)

b=9

Hence, The coordinate of C is (5,9)

Answer:

(5, 9)

Step-by-step explanation:

The distance between A and B is 1/3 the distance between A and C.

x coordinates:

3 − 2 = 1/3 (x − 2)

1 = 1/3 (x − 2)

3 = x − 2

x = 5

y coordinates:

-1 − (-6) = 1/3 (y − (-6))

5 = 1/3 (y + 6)

15 = y + 6

y = 9

The coordinates of point C are (5, 9).

Gina charges $28 for 3 hours of lessons. Hector charges $18 for 2 hours of lessons. Who offers a better deal????

Answers

Gina  because if u get 6 hours of a lesson from hector it is going to be $64 but gina will charge $56for 6 hours
3 goes in to 28hrs 9.3 times so i see each hour as her being paid 9.30. the other is gettin paid 9 so i see the 2nd as better

If it takes 5 hours for 5 people to make 5 presents, how long will it take for 1 person to make 1 present?

Answers

5 people ,5 hours ,5 presents

1person, 5 hours ,1 present

if we allocate 1 person for each gift it would take 5 hours for each person to make a present