I have 5 questions. <,>,or =. 67 miles____116,920 yards, 250 yards____800 feet, 14 yards and 2 feet_____16 feet, 34 feet 10 inches_____518 inches, 5 miles and 8 feet______8,800 yards. Please answer 3/5 of the questions

Answers

Answer 1
Answer: 1 mile=1,760 yards
67 miles = 117,920 yards
that's > 116,920 yards

1 yard=3 feet
250 yards = 750 feet
that's < 800 feet

1 yard = 3 feet
14 yards = 42 feet
plus another 2 feet = 44 feet
that's much > 16 feet

1 foot = 12 inches
34 feet = 408 inches
plus another 10 inches = 418 inches
that's < 518 inches

1 mile = 1,760 yards
5 miles = 8,800 yards
that's already = to 8,800 yards, and we haven't even stuck the extra 8 feet on yet
when we do that, it'll be > 8,800 yards by exactly 8 feet (2 and 2/3 yards)

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What is the volume of the right prism?A. 50 in3

B. 600 in3

C. 1200 in3

D. 400 in3

Answers

Volume of a right prism = Area of the base * height

the base is the right triangle.
Area of a right  triangle = ab/2
a = 15 inches ; b = 8 inches

Area of a right triangle = (15in * 8in)/2 = 120 in² / 2 = 60 in²

V = B * h
V = 60 in² * 10 in 
V = 600 in³  Choice B.

What is the lateral area of the rectangular prism? 

Assume the prism is resting on its base.

Answers

lateral\ area\ is:\n2\ rectangles\ 5in*15in\ and\ 2\ rectangles\ 4in*15in\n\nlateral\ area\ of\ the\ rectangular\ prism:\n\n2\cdot5\cdot15+2\cdot4\cdot15=150+120=270\ (in^2)\n\nAnswer:B

Angle 6 is 55 degrees and angle 5 is 125 degrees. Are these angles vertical or adjacent?

Answers

vetical angles are congruent and have the same angle measure
55 is not equal to 125

adjacent angles are next to each other on a stratight line so they add to 180
55+125=180

they are adjacent

Write the equation in standard form: 3x-9=7y

Answers

If in standard form you mean slope intercept form, then you are looking to create an equation that looks like this:

y = mx + b

So you need to move around the numbers whilst keeping both sides equivalent.

3x - 9 = 7y
7y = 3x - 9
y = (3x)/7 - 9/7

Your answer should look like this:

y = (3x)/7 - 9/7

If this is not what you meant by standard form please comment and I will see if I can adjust the answer.

X squared minus 20x what value should be added to the equation to create a perfect square

Answers

x^2 - 20x + (20/2)^2 - (20/2)^2, or

x^2 - 20x + 400/4 - 400/4, or   x^2 - 20x + 100 - 100   (answer)

How does metric conversion work

Answers

You can convert between the various different sizes by merely moving the decimal point the correct number of places. The basic metric units are meters (for length), grams (for mass or weight), and liters (for volume).