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


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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What is 15 = -y + 10


It's a simple linear equation in a single variable, 'y' .  Its solution is the number
that 'y' must be in order to make the equation a true statement.  Here's how to
find the solution:

Write the equation:    15 = -y + 10

Subtract 10 from each side:    5 = -y

Multiply each side by -1 :      -5 = y
welcome :)

you want to determine how many students consider math to be their favorite subject. you randomly survey 75 students. 33 students consider math their favorite subject and 42 do not. you conclude 40% of students at your school consider math to be their favorite subject. Is that valid?


No, is not valid.
33 is 44% of 75
33 ÷ 75 = 0.44
0.44 = 44%

The cost, C, in dollars, of playing g games at an arcade gamecenter is modeled by the linear function C = 0.5g + 2.
Determine the rate of change of the function and explain
what this value means in terms of the context.
Determine the initial value of the function and explain what
this value means in terms of the context.


The rate of change is 0.5 which means that each game cost .50 cents

The initial value is 2 which means that you must initially pay $2.00

Final answer:

The rate of change of the function C = 0.5g + 2 is 0.5, indicating a cost increase of $0.50 per game. The initial value is 2, representing the fixed entry fee at the arcade.


The rate of change of the function C = 0.5g + 2, which represents the cost, C, in dollars, of playing g games at an arcade game center, is the coefficient of g, whic h is 0.5. Thisvalue means that for each additional game played, the cost increases by $0.50. The initial value of the function is the constant term, which is 2. This represents the starting fee or fixed cost at the arcade game center before any games are played.

Learn more about Linear Function here:



Which equation could be used to solve the problem? Oscar averaged 4 yards per carry in the football game.

If he carried the ball 16 times, how many yards did he gain (y)?

y = 4 + 16

y = 4 • 16

y = 16 ÷ 4

y = 4 ÷ 16


if he carried the ball 16 and each time he ran 4 yards than you would multiply 16 by 4 to find the total number of yards that he carried the ball

Name a set of parallel lines


Parallel lines stay the same distance apart and never touch
So Cable lines

A 10 foot tree casts a 4.5 foot shadow.At the same time, what size shadow would a 25 foot flagpole cast?


First we have to find the unit rate. We have to divide 4.5 by 10 which equals 0.45. So a 1 foot object casts a 0.45 foot shadow. Now we have to multiply 0.45 by 25 to find how feet a 25 foot object casts. 0.45*25 equals 11.25. So therefore a 25 foot object in this case will cast a 11.25 foot shadow