Nathan is trying out to be the kicker on his high school's football team. He notices that for every hour he practices he can kick the ball 2 yards further. On his first try he kicked the ball 42 feet, on the second try he kicked the ball 16 yards. What could be a possible distance for his third kick? A. 20 feet B. 60 feet C. 54 yards D. 24 yards

Answers

Answer 1

Answer: This is actually a very easy problem. The only hurdle we have here is the units that are used in this problem. We have to understand that each unit may mean the same length but the values are different. In this case, 1 yard is equal to 3 feet. Meaning 42 feet is equal to 16 yards. So that is 14, 16 and the answer is 18 yards. 18 yards is equal to 54 ft.

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A ratio is defined as: A. a comparison between three sets. B. a comparison between two sets. C. a set of equal ratios. D. two equal numbers.

Answers

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. Therefore, the correct answer to the question "A ratio is defined as:" is "a comparison between two sets" (option B).

Angle E has what measurement according to the protractor?

Answers

Answer:

Angle E has $120\°$

Step-by-step explanation:

we know that

Observing the figure, according to the protractor

Angle B has $30\°$

Angle C has $50\°$

Angle D has $90\°$

Angle E has $120\°$

Angle F has $140\°$

If a frilled lizard is 90 centimeters long and it's tail is 2/3 of the body's length. how long is the tail

Answers

2/3 of 90=2/3 times 90=180/3=60

tail is 60cm long

The tail of the Frilled Lizard is 60 centameters

Divide: x^10/x^4. thank you very much

Answers

Simple,

you have $( x^(10) )/( x^(4) )$

This really means that you have...

$(x*x*x*x*x*x*x*x*x*x)/(x*x*x*x)$

just cancel out the x's that you have, it's simple...

leaving you $x^(6)$

Thus, your answer.

What is the solution to the system of equations? Use the substitution method.y=3x-4
9x-3y=14

A. There is no solution
B. (12, 14)
C. (14, 12)
D. There an infinite number of solutions.

Answers

{ y = 3 x - 4
9x -3y = 14

Subsititute y = 3x-4 :

[ 9 x - 3 ( 3 x-14 )=14]

Refine:

9 x - 3 ( 3 x - 4 ) = 14

- 2 = 0

is false , therefore the system of equations has no solution

Answer A

hope this helps!

Simplify (8j^3-10j^2-7)-(6j^3-10j^2-j+12)

Answers

The first step for solving this expression is to remove the first set of parenthesis.
8j³ - 10j² - 7 - (6j³ - 10j² - j + 12)
When there is a "-" sign in front of the parenthesis,, you must change the sign of each term in the parenthesis. This will look like the following:
8j³ - 10j² - 7 - 6j³ + 10j² + j - 12
Eliminate the opposites in the expression
8j³ - 7 - 6j³ + j - 12
Collect the first set of like term (ones with j³)
2j³ - 7 + j - 12
Calculate the difference between basic numbers
2j³ - 19 + j
Lastly,, use the commutative property to reorder the terms
2j³ + j - 19
Since you cannot simplify this expression any further,, the correct answer to your question is 2j³ + j - 19.
Let me know if you have any further questions
:)

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