Questions: One of the tallest self-supporting towers in the world is the Tokyo Sky Tree in Japan, which stands 2080 feet tall. Mendocino trees in California are among the tallest in the world. If 6 of these trees were stacked on top of each other, they would still be 64 feet shorter than the Tokyo Sky Tree in Japan. Solve the following equation to determine the height of the tree: 6x + 64 = 2080. Round your answer to the nearest tenth.

One of the tallest self-supporting towers in the world is the Tokyo Sky Tree in Japan, which stands 2080 feet tall. Mendocino trees in California are among the tallest in the world. If 6 of these trees were stacked on top of each other, they would still be 64 feet shorter than the Tokyo Sky Tree in Japan. Solve the following equation to determine the height of the tree: 6x + 64 = 2080. Round your answer to the nearest tenth.
Transcript text: One of the tallest self-supporting towers in the world is the Tokyo Sky Tree in Japan, which stands 2080 feet tall. Mendocino trees in California are among the tallest in the world. If 6 of these trees were stacked on top of each other, they would still be 64 feet shorter than the Tokyo Sky Tree in Japan. Solve the following equation to determine the height of the tree: $6 x+64=2080$. Round your answer to the nearest tenth.
failed

Solution

failed
failed

Solution Steps

To find the height of one Mendocino tree, we need to solve the equation \(6x + 64 = 2080\). This equation represents the total height of 6 trees stacked on top of each other, which is 64 feet shorter than the Tokyo Sky Tree. We will isolate \(x\) by first subtracting 64 from both sides and then dividing by 6. Finally, we will round the result to the nearest tenth.

Step 1: Set Up the Equation

We are given that the total height of 6 Mendocino trees stacked is 64 feet shorter than the Tokyo Sky Tree, which is 2080 feet tall. The equation representing this situation is: \[ 6x + 64 = 2080 \]

Step 2: Isolate the Variable

To find the height of one tree, \( x \), we first subtract 64 from both sides of the equation: \[ 6x = 2080 - 64 \] \[ 6x = 2016 \]

Step 3: Solve for \( x \)

Next, divide both sides by 6 to solve for \( x \): \[ x = \frac{2016}{6} \] \[ x = 336 \]

Final Answer

The height of one Mendocino tree is \(\boxed{336}\) feet.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
What is the proper sequence of types of radiation from lower to higher energy? radio, ultraviolet, infrared, visible, x-ray ultraviolet, radio, x-ray, infrared, visible radio, infrared, visible, ultraviolet, x-ray x-ray visible, ultraviolet, radio, infrared x-ray, ultraviolet, visible, infrared, radio According to Planck's equation, if you decrease the temperature of the emitting body, the peak/most intense wavelength of radiation will shift to (longer/shorter) wavelengths that contain (more/less) energy. shorter, less shorter, more longer, less longer, more
failedAnswered
Express using a positive exponent. Assume the variable represents a nonzero real number. k^-7 k^-7= (Simplify your answer. Type a positive exponent.)
failedAnswered
Give a geometrical explanation as to why ∫ from a to a f(x) dx = 0 Choose the correct answer A. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie to the right of the y-axis, and the other half left of the y-axis B. The length of the interval [a, a] is a-a=0 Therefore, the net area of the region bounded between f(x) and the x-axis, within the limits of integration, must also be zero C. Any function f(x) integrated from a to a will be zero because exactly half of the function will lie above the x-axis, and the other half below the x-axis D. The height of the function on the interval [a, a] is f(a)-f(a)=0. Therefore, the net area between f(x) and the x-axis, within the limits of integration, must also be zero.
failedAnswered
The physician orders gentamicin 40 mg IVPB q 8 h for infection. The medication is supplied in gentamicin 40 mg / 100 mL to infuse over 1 hour. Tubing drop factor is 20 gtt / mL. How many drops per minute will be given? Round answer to whole number.
failedAnswered
7. What output will you get with this code? List 1=[x**3 if x % 2=0 else x for x in range (1,11) print(List1) A: [1,8,3,64,5,216,7,512,9,1000] B: [1,6,3,12,5,18,7,24,9,30] C: [1,2,27,4,125,6,343,8,729,10] D: [1,8,3,64,5,216,7,512,9,1000,11] 8. What is the output of the following code? import numpy as np a= np.array ([20,5,13,12]) print( a - (np.sum(a) / np.min(a) - a[1]) ) A: [30,15,23,22] B: [15,0,8,7] C: [12,-3,5,4]