Harold walks 3/4 mile in each 5/6 hour. Calculate Harold's unit rate. Explain how you found your answer.

Answers

Answer 1
Answer: To solve this problem, you must apply the proccedure shown below:

 1. The problem gives the following information: Harold walks 3/4 miles in each 5/6 hours. Therefore, you have to divide  3/4 miles by 5/6 hours, as below:

 unit rate=(3/4)(5/6)
 unit rate=(3x6)(4x5)
 unit rate=18/20 

 3. When you simplify, you obtain:

 unit rate=9/10

 4. Therefore, as you can see, the answer is: Harold's unit rate is 9/10.

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Simplify (b^9)^3
A.b^24
B.b^6
C.b^27
D.b^9

Answers

Answer:

C. b^27

Step-by-step explanation:

By the definition of exponents

(b^9)^3=b^9*b^9*b^9

And since for any real numbers r,x, and y

r^x*r^y=r^((x+y))

This makes

(b^9)^3=b^9*b^9*b^9=b^{{9+9+9}}=\boxed{b^(27)}

Which is choice C.

Alternatively, we could use the identity

(r^x)^y=r^(xy)

in which case

(b^9)^3=b^((9*3))= \boxed{b^(27)}

which is the same answer.

Answer:b²⁷

Step-by-step explanation:

If A = (10.4) and B = (2, 19), what is the length of AB?A. 23 units
B. 12 units
c. 17 units
D. 15 units​

Answers

Answer:

C) 17 Units

Step-by-step explanation:

Juwan drives an ATV due east from the edge of a road into the woods. The ATV breaks down and stops after he has gone 2000 feet. In a coordinate system where the positive y-axis points north and the units are hundreds of feet, the equation of the road is 5x-3y=0How far is Juwan from the road?

Answers

Answer: C) 1715 ft.

If you borrow $675 for 6 years at an intrest rate of 10%, how much intrest you pay?

Answers

Intrest= Pay x Rate xTime
675 x 6 x .10 = you will pay an additional 4.05  please make my answer the brainliest

$ 1,080

I found this by multiplying the amount of money by 1.60

Help! Brainliest to the first correct answer​

Answers

Answer:

slope = 1 and y intercept is (0,3)

Step-by-step explanation:

This equation is in the form y= mx+b where m is the slope and b is the y intercept

y =1x +3

The slope is 1 and the y intercept is 3

slope = 1 and y intercept is (0,3)

Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall.Part A

What is the length of a straight line between the school and the fire station? Round to the nearest tenth.

Part B

The hospital is 3.1 miles west of the fire station. What is the length of a straight line between the school and the hospital? Round to the nearest tenth.

Answers

Answer:

a. The length of a straight line between the school and the fire station is 4.6 miles

b. The length of a straight line between the school and the hospital is 2.1 miles

Step-by-step explanation:

See attachment

Given.

Distance between the school and the town hall = 4.3 miles directly east

Distance between the fire station and the town hall = 1.7 miles directly north.

The length of a straight line between the school and the fire station is calculated by solving the length of hypotenuse of the right angled triangle (see attachment A)

Using Pythagoras theorem;

x² = 1.7² + 4.3²

x² = 2.89 + 18.49

x² = 21.38 --- Take square roots

x = 4.6 miles

The length of a straight line between the school and the fire station is 4.6 miles

b.

The length of a straight line between the school and the hospital is calculated by solving the length of hypotenuse of the right angled triangle (see attachment B)

Using Pythagoras theorem;

x² = 1.7² + 1.2²

x² = 2.89 + 1.44

x² = 4.33 --- Take square roots

x = 2.1 miles

The length of a straight line between the school and the hospital is 2.1 miles