MATHEMATICS MIDDLE SCHOOL

8. The cost of 2 pounds of coffee is $17.95. Tothe nearest dollar, what is the cost of 5 pounds
of coffee?

Answers

Answer 1
Answer:

Answer:

$45

Step-by-step explanation:

Find the cost of 1 pound of coffee. Divide $17.95 with 2

17.95/2 = 8.975

Multiply with 5 lbs.

8.975 x 5 = 44.875

Round to the nearest dollar. Note the tenth place value. It is an 8. Because 8 is greater than 5, you would round up:

44.875 rounded to the nearest dollar is $45.

$45 is your answer.

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Sage belongs to a bird-watching club. Every two days, she goes out and counts the number of Black-hooded Parakeets she sees. The sightings can be approximated by the equation y = 1/2x + 3. What is the approximate rate of change for the number of parakeets seen?3

1/2

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7/2

Answers

Answer:

The rate of change for the number of parakeets seen is 1/2

Step-by-step explanation:

The sightings can be approximated by the equation:

y = (1/2)*x + 3

Which represents a line. Any line can be writen by an equation in the following form:

y = m*x + b

Where m is the slope of the lane or it's rate of change and b is the value for "y" when "x" equals zero. Applying this knowledge to the equation of the bird sightings we can se that the sightings grows 1/2 for every one unit that x grows, therefore the rate of change is 1/2.

PLEASE HELP ME IF A FEW QUESTIONS! WITH ALL THE PROCESS!

Answers

Number 1:

9x^2 + 12x + 4 -> (3x  + 2)^2
16x^2 + 24x + 9 -> (4x + 3)^2


2. x^2 + Bx + 64
B = (sqrt64) *2 = 16

3.
Solving equations like this requires completing the square, which has the first step of choice 4.

Vernon says he can drive 25 miles east, then 25 miles west and be back in his original position. Is Vernon correct? Why or why not?

Answers

Answer:

if Vernon drove in a straight line then yes because east is the opposite of west

Step-by-step explanation:

Nat spent $28 on 8 DVDs. At this rate, how much would 5 DVDs cost? What is the unit rate?

Answers

You first have to find the rate of the DVDs. To do this you need to divide $28 by the number of DVDs, 8. 28/8 equals 3.5 so that means that a single DVD costs $3.50. To find the rate of 5 DVDs you need to multiply the rate of a single DVD by 5: 3.50 x 5= 17.50
5 DVDs costs $17.50 and the unit rate is $3.50 per DVD
5 DVDs would cost 7.50 and the unit rate is 3.50

An angle with the measure of 185 is called

Answers

It is an obtuse angle!

A radio station requires DJs to play 2 commercials for every 10 songs they play.What is the unit rate of songs to commercial?

Answers

The DJs unit rate is 5 songs for every 1 commercial.

I found this by dividing both the commercials and the songs by their greatest common factor, or 2.

Answer:

The answer is 0.2

Step-by-step example

First multiply two and sixty which equals 120,then multiply ten and sixty which equals six hundred then divide it by eachother which equals zero point two.
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