School starts in 45 minutes and you live 17 miles from school. What average speed (in miles per hour) do you need to travel in order to arrive at school on time?

Answers

Answer 1
Answer:

The required average speed to reach the school is 2.65 miles per minute.

Given that,
School starts in 45 minutes and you live 17 miles from school.
To determine at what average speed (in miles per hour) you need to travel in order to arrive at school on time.

What is speed?

Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.

What is average?

The average of the values is the ratio of the total sum of values to the number of values.

Here,
Distance = 17 miles
Time = 45 minutes

Speed = distance  / time
Speed = 45 / 17
Speed = 2.65 miles per minute

Thus, the required average speed to reach the school is 2.65 miles per minute.

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Find the side length and round your answer to the nearest hundredth.

Answers

Answer:

√180 or 5√6

Step-by-step explanation:

Plug in: a^+b^2=c^2

a^2+12^2=18^2

a^2+144=324

subtract 144 from both sides

a=√180

a= 5√6

Only 5 questions. I really need the help plz help me.

Answers

1. Substraction Property of Order ;
2. Multiplication Property of Order ;
3. Addition Property of Equality ;
4. Division Property of Equality ;
5. ( 1 / 2 )x = 10
      x = 20
      

What are the roots of the polynomial equation x^3-7x=6x-12? a. –6, 6
b. –4, 1, 3
c. –3, –1, 4
d. 1, 3

Answers

Hello,

Answer B

P(x)=x^3-13x+12
P(1)=1-13+12=0 ==>1 is root
P(3)=3^3-13*3+12=0 ==>3 is root
P(-4)=(-4)^3-13*(-4)+12=0 is root

P(x)=(x-1)(x-3)(x+4)

Answer:

b

Step-by-step explanation:

Indra baked and frosted a rectangular cake to sell at a bake sale for the Model UN club. The cake, including frosting, was 4 inches high, 16 inches wide, and 12 inches long. She centered the cake on a circular tray. The circular tray had a radius of 10 inches. What is the area, to the nearest square inch, of the tray that is not covered by the cake?A. 100
B. 114
C. 122
D. 314
E. 192

Answers

Answer:

C. 122

Step-by-step explanation:

Given,

Dimension of the cake:

Length = 12 in      Width = 16 in      Height = 4 in

We have to find out the area of the tray that is not covered by the cake.

Indra centered the cake on a circular tray.

Radius of the tray = 10 in.

So area of the tray is equal to π times square of the radius.

Framing in equation form, we get;

Area of tray =\pi* r^2=3.14*{10}^2=3.14* 100=314\ in^2

Since the cake is placed in circular tray.

That means only base area of cake has covered the tray.

Base Area of cake = length* width=12* 16=192\ in^2

Area of the tray that is not covered by the cake is calculated by subtracting area of base of cake from area of circular tray.

We can frame it in equation form as;

Area of the tray that is not covered by the cake = Area of tray - Base Area of cake

Area of the tray that is not covered by the cake =314-192=122\ in^2

Hence The area of the tray that is not covered by the cake is 122 sq. in.

What is the square root of 160/4

Answers