MATHEMATICS HIGH SCHOOL

The distance in miles that you can see to the horizon is a radical function that depends on the height (in feet) that you are above the ground. If you can see a distance of 5 miles, how many feet are you from the ground?

Answers

Answer 1

Answer:

Answer:

16.67 feet from ground

Step-by-step explanation:

Given

$d= √( 1.5h)$ --- missing from the question

$d \to distance$

$h \to height$

Required

Determine the height when distance = 5 miles

This implies that:

$d = 5$

So, we have:

$d= √( 1.5h)$

$5 = \sqrt{1.5h$

Take square roots of both sides

$5^2 = 1.5h$

$25 = 1.5h$

Divide both sides by 1.5

$(25)/(1.5) = h$

$h = (25)/(1.5)$

$h = 16.67$

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What is the value of y so that the ordered pair (5, y) is a solution to the equation –5x + y = –40?A. –65 B. 9 C. –15 D. 7

Three candidates: A, B, C. Candidate A received 20% of the votes, while candidate B received exactly 3 times as many votes as candidate C. What percentage of votes did candidate C receive? a) 10% b) 15% c) 20% d) 5%

Answers

Answer: C received 20% of the votes so C would be your answer

Answer:

Step-by-step explanation:

Let C received x% votes. Then B received 3x% votes. B and C together received 80% of votes because A received the remaining 20%.

x + 3x = 80

4x = 80

x = 20

Answer: c) 20%

Find the LCM of 30,42,60

Answers

Answer:

420

Step-by-step explanation:

hey there!

multiple of 30=2*3*5

multiple of 42=2*3*7

multiple of 60=2*3*3*5

common factors=2*3*5

other factors=7*2

multiplying common factors and other factors we get;

the required answer as 420

hope it helps!!!

Answer:

420

Step-by-step explanation:

hope it helps

-thank you

The target above can be describes as

Answers

Answer:

Picture??

Step-by-step explanation:

Solve the equation using the quadratic formula : x^2-10x+25=18

Answers

$x^2-10x+25=18 \n \nx^2-10x+25-18 = 0\n \n x^2-10x+ 7 =0 \n \na=1 , b = -10 , c= 7 \n \n \Delta = b^(2)-4ac = (-10)^(2)-4*1*7=100-28 = 72 \n \n√(\Delta )=√(72)= √(2*36) =√(36)*√(2) =6√(2)$

$x_(1)=(-b-√(\Delta ))/(2a) =(10- 6√(2))/(2)=(2(5-3√(2)))/(2)= 5-3√(2)\n \nx_(2)=(-b+√(\Delta ))/(2a) =(10+ 6√(2))/(2)=(2(5+3√(2)))/(2)= 5+3√(2)$

$Answer : \ x= 5-3√(2) \ \ or \ \ x = 5+3√(2)$

3. You are buying potato chips at the grocery store. You have a manufacturer’s coupon for $0.50 off and the store is offering 50% off if you buy 2 bags. How do you compute your final cost? (1 point). Subtract $0.50 off of each bag and then divide by 2.. Divide each bag by 2, subtract $0.50 off of each bag, and then add them together.. Add the two bags together, divide by 2, and then subtract $0.50.. Subtract $0.50 from the first bag, add them together, and then divide by 2.

Answers

We will assume that one bag of potato chips costs $1.00:
Original cost : 2 * $1.00 = $2.00
$2.00 + 50% off = $2.00 - $1.00 = $1.00
$1.00 - $0.50 = $0.50
The equation is:
Final Cost = 2 x ( Original cost ) : 2 - $0.50
Answer:
C ) Add the two bags together, divide by 2, and than subtract $0.50.

1) Which BEST describes the number of solutions for the given equation?Consider the equation 7x-6 + 3 = 5x + 2x +
5
A)
one solution
B)
two solutions
infinitely many solutions
D)
no solution
2) Which equation has infinitely many solutions?
A) 9x - 3 = 3x + 6x + 2 + 3
B) 12(X + 8) - 11x - 5
11x - 2x + 15 = 8 + 7 + 9x
D) 5x - 8 - 11 - 7x + 12x

Answers

Answer:

number one is D no solution

number two is B 12(x+8)-11x-5

Step-by-step explanation:

Final answer:

The given equation 7x - 6 + 3 = 5x + 2x + 5 has no solution. The equation with infinitely many solutions is 11x - 2x + 15 = 8 + 7 + 9x.

Explanation:

For the first part of your question, let's begin by simplifying the given equation 7x - 6 + 3 = 5x + 2x + 5.

When simplified, it becomes 7x - 3 = 7x + 5, and further simplifying will give us -3 = 5, which is not correct.

Hence, this equation has no solution. So the option is D) No solution.

For the second question, let's simplify each equation and see which one results in a true statement that doesn't involve 'x'. The equation A) 9x - 3 = 3x + 6x + 2 + 3 simplifies to 9x - 3 = 9x + 5, which also gives us a false statement -3 = 5. So, the answer is not A).

If we do the same for the remaining options, we'll find that the equation with infinitely many solutions is C) 11x - 2x + 15 = 8 + 7 + 9x, simplifying it gives 9x + 15 = 15 + 9x which is a true statement for any x.

So, the equation with infinitely many solutions is option C).

Learn more about equations here:

brainly.com/question/35467992

#SPJ2

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