The Distance between two towns is 120 Kilometers. There are aproximately 8 Kilometers in 5 miles Which measurement is closest between the number of miles between these two towns? Option 1: 75 miles Option 2: 70 miles Option 3: 80 miles Option 4: 85 miles

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation: Take 120 and divide it by 8 then multiply that by 5 and you get 75. its closest but 120 km is roughly 74.5 miles

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PLZ HELP, ASAP! A hotel offers two activity pages. One costs $192 and includes 3 hours of horseback riding and 2 hours of paasailing. The second costs $213 and includes 2 hours of horsebac riding and 3 hours of parasailing. What is the cost for 1 hour of each activity?
A. Parasailing: $39; Horseback Riding: $48
B. Parasailing: $51; Horseback Riding: $30
C. Parasailing: $27; Horseback Riding: $46
D. Parasailing: $63; Horseback Riding: $24

Answers

Greetings!

Answer:

Horseback riding costs $30 and parasailing costs $51, so B.

Step-by-step explanation:

This is answered by using simultaneous equations, let x be parasailing and y be horseback riding.

3y + 2x = 192

2y + 3x = 213

Multiply each equation by the number in front of the y of the other equation:

2 x (3y + 2x = 192)

3 x (2y + 3x = 213)

Which results in:

6y + 4x = 384

6y + 9x = 639

Simply minus the two equations to get rid of the y:

6y - 6y = 0

4x - 9x = -5x

384 - 639 = -255

The negatives cancel out which give a result:

5x = 255

x = $(255)/(5)$

x = 51

So parasailing costs $51

Now you can simply plug this value into one of the equations:

3y + (2 x 51) = 192

192 - 102 = 3y

90 = 3y

y = $(90)/(3)$

y = 30

So horseback riding costs $30!

Hope this helps.

Classify -2x^4-x^3+8x^2=12 by degree

Answers

To find the degree of a polynomial, we must find the LARGET power in the equation: and that is 4.

Solve for x and then find the measure of angle, A.

Answers

X= 25 because you set both equations equal to each other so 6x - 2 = 4x + 48 then to find the measure of the angle you plug in the value of X. So angle A = 6(25) -2 = 148

Answer:

x = 25 ; m∠A = 148°

Step-by-step explanation:

∠A ≅ ∠B (alternate exterior angles)

(6x - 2)° = (4x + 48)°

2x = 50

x = 25

m∠A = 6(25) - 2 = 148°

Does anyone know this one ????

Answers

What information is marked in the diagram ?

-- The angles in the lower left corner of each triangle are
right angles, so the triangles are right triangles.

-- The angles in the lower right corner of each triangle are equal.

-- The slanted sides of both triangles are equal. (Since the triangles
are right triangles, the slanted sides are their hypotenees.)

If the hypotenuse and one acute angle of a right triangle are
equal respectively to the hypotenuse and one acute angle of
another right triangle, that's enough to prove that the triangles
are congruent.

true same shape size and line one the side so a itnot be because it not the same

Angle x is the largest angle in triangle xyz. Angle y is the smallest angle. How does the sum of the measures of angles y and z compare to the measure of angle x

Answers

Knowing that the angles of the triangle has a total of 180 degrees, so we can have the following:

x + y + z = 180
y + z = 180 - x
or
x = 180 - y - z

In this approach, we can't give the actual values since there are no values presented.

I need the anwser asap

Answers

Perimeter = 114
Length = 5x + 17
Width = 3x + 24

Perimeter = 2L + 2W
114 = 2(5x+17) + 2(3x+24)
114 = 10x + 34 + 6x + 48
114 = 16x + 82
114 - 82 = 16x
32 = 16x
32/16 = x
2 = x

Length = 5x + 17 = 5(2) + 17 = 10 + 17 = 27
Width = 3x + 24 = 3(2) + 24 = 6 + 24 = 30

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Your mother has left you in charge of the annual family yard sale. Before she leaves you to your entrepreneurial abilities, she explains that she has made the job easy for you: everything costs either $1.50 or $3.50. She asks you to keep track of how many of each type of item is sold, and you make a list, but it gets lost sometime throughout the day. Just before she’s supposed to get home, you realize that all you know is that there were 150 items to start with (your mom counted) and you have 41 items left. Also, you know that you made $227.50. Write a system of equations that you could solve to figure out how many of each type of item you sold.A) x + y = 109(1.5)x + 227.50 = (3.5)yB) x + y = 109(3.5)x + 227.50 = (1.5)yC) x + y = 41(1.5)x + 227.50 = (3.5)yD) x + y = 109(1.5)x + (3.5)y = 227.50E) x + y = 150(1.5)x + (3.5)y = 227.50F) x + y = $3.50(1.5)x + (3.5)y = 227.50