Final answer:
The actual height of the Eiffel Tower is found by multiplying the height of the 1:800 scale model (40.5 cm) by the scale factor (800), resulting in an actual height of 32,400 centimeters.
Explanation:
To determine the actual height of the Eiffel Tower given a 1:800 scale model, you'll need to set up a proportion where the scale factor corresponds to the actual size and the model size. The model Eiffel Tower you've been given is 40.5 centimeters tall. Since the scale is 1:800, that means 1 centimeter on the model represents 800 centimeters in reality.
To find the actual height, you simply multiply the height of the model by the scale factor:
Actual height (x) = Model height × Scale factor
x = 40.5 cm × 800
x = 32,400 cm
Therefore, the actual height of the Eiffel Tower is 32,400 centimeters.
A water tank holds 18000 gallons. How long will it take for the water level to reach 6000 gallons if the water is used at an average rate of 450 gallons per day?
Keywords:
Tank, capacity, water, gallons, rule of three, variable, days
For this case we have a tank with a capacity of 18,000 gallons, we want to know how many days 12000 gallons of the tank are emptied, with the use of water following an average rate of 450 gallons per day. So we make a rule of three according to the use of water per day:
450 gallons -----------> 1 day
12000 gallons -------> x
Where the variable "x" represents the number of days when water takes to reach 6000 gallons.
[tex]x = \frac {12000 * 1} {450}\\x = 26.67[/tex]
Rounding the nearest whole we have:
[tex]x = 27[/tex]
Answer:
For the tank to go from 18,000 gallons of water to 6000 gallons of water, it should take approximately 27 days, using the water at an average rate of 450 gallons per day.
[tex]x = 27\ days[/tex]
Tony has 7/8 of a candy bar. he wants to split the bar into servings that are 3/10 of the bar. how many servings can he make?
Whats 4 2/3 divided By 2/3
A pipe that is 3.1 meters long is placed vertically in a pond. Its lowest point is 1.5 meters under the water surface. How far above the water surface is the top of the pipe?
Answer
Find out the how far above the water surface is the top of the pipe .
To prove
As given
A pipe that is 3.1 meters long is placed vertically in a pond.
Its lowest point is 1.5 meters under the water surface.
thus
The top of the pipe far above the water surface = 3.1 - 1.5
= 1.6 meter
Therefore the top of the pipe far above the water surface is 1.6 meter .
A clipboard cost $2.23.It cost $0.58 more than a notebook.Lisa bought two clipboards and one notebook.She paid with a ten dollar bill.How much change does Lisa get?Use a tape diagram to show your thinking.
Lisa gets a change amount of [tex]\fbox {\begin\ \bf \$ 3.89\\\end{minispace}}[/tex] when she pays a ten-dollar bill for two clipboards and a notebook.
Further explanation:
It is given that the cost of a clipboard is [tex]\$\ 2.23[/tex].
Also, it is known that the clipboard costs [tex]\$\text{ }0.58[/tex] more than a notebook so the cost of one notebook is calculated as,
[tex]\fbox {\begin\\\\\begin{aligned}\text{Cost of a notebook}&= 2.23-0.58\\&=1.65\end{aligned}\end{minispace}}[/tex]
Lisa bought two clipboards and one notebook then the total cost for items bought is obtained as the sum of cost of two clipboard and cost of one notebook.
[tex]\fbox {\begin\\\\\begin{aligned}\text{Total cost of two clipboard and one notebook}&= 2.23+2.23+1.65\\&=6.11\end{aligned}\end{minispace}}[/tex]
Lisa paid a ten dollar bill for the purchase of two clipboard and one notebook, so the total change she should get back is obtained as the difference of total cost of two clipboard and one notebook from the total paid price.
The tape diagram for the price paid for two clipboards and one notebook that Lisa bought is as shown in Figure 1 (attached at the end).
Therefore, the change that Lisa gets back is calculated as,
[tex]\boxed{\begin{aligned}\text{Change that Lisa gets}&= 10-6.11\\&=3.89\end{aligned}}[/tex]
Thus, the change amount that Lisa gets after she paid ten dollar for two clipboard and one notebook is [tex]\fbox {\begin\ \bf \$ 3.89\\\end{minispace}}[/tex].
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Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Simplification
Keywords: notebook, clipboard, ten-dollar bill, paid, costs, Lisa, bought, $2.23, $0.58, $4.46, change amount, total cost, amount, two clipboards.
a square has an area of 121 square meters what is the length of each side?
How do you multiply polynomials by using the distributive property?
What is bigger pint or quart
A quart is larger than a pint, as 1 quart equals 2 pints or 4 cups.
In the US customary system of measurement, both pints and quarts are units of volume. Here's the relationship between them:
1 pint = 2 cups
1 quart = 2 pints
To compare the two, let's convert them to a common unit, such as cups:
1 quart = 2 pints = 2 * 2 cups = 4 cups
Since 1 quart equals 4 cups and 1 pint equals 2 cups, it is evident that a quart is larger than a pint. It contains twice the volume of a pint.
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What is the change in elevation from 134 feet below sea level to 29 feet above sea level?
Answer:its 163 or -163
Step-by-step explanation:
an elevator has a maximum lift of 2000 pounds you're moving 55 pound boxes of books write an equation and estimate how many boxes you can safely place on an elevator
HELPP FIRST ANSWER GETS BRAINLIEST ANSWER!!
Your local gas stations are having a price war. During the past 7 days they have lowered the price of
regular gas by $.02 each day. Define a variable. Then write and solve an equation to find the total
change in gas price. Show your work.
Using the porpotions: WHIP= (Walks+Hits) divide by Innings Pitched. The pitcher wants to lower his WHIP from 1.53 to 1.3. How many more innings would he have to pitch without any walks or hits? Is this a reasonable goal? Explain your reasoning.
There were 85 innings last question and 130 walks + hits which gave a whip score of 1.53 if WHIP= (Walks+Hits).
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Using the portions: WHIP= (Walks+Hits) divide by Innings Pitched. The pitcher wants to lower his WHIP from 1.53 to 1.3.
From the question:
130 / (85 + x) = 1.3
After solving:
19.5 = 1.3x
x = 15
To achieve a target of 1.3 whip score, he would need to pitch 15 more innings without issuing any walks or hits.
Thus, there were 85 innings last question and 130 walks + hits which gave a whip score of 1.53 if WHIP= (Walks+Hits).
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mark an fred had some money in the ratio 6:1. mark gave half of his money to fred . what is the ratio of the amount of money mark had left to the amount mark had let to the amount of money fred had left
The requried ratio of the mark let to the amount of money Fred had left is 3:4.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
mark an Fred had some money in the ratio 6:1. Mark gave half of his money to Fred.
Total proportion of money = 6 + 1 = 7,
Now,
assume that Mark has 6 coins and Fred has 1 coin,
Mark giving half of his coin to Fred means mark give 3 coins to fred,
Now,
Mark has 3 coins and Fred has 4 coins,
the ratio is given as
= 3 / 4
Thus, the requried ratio of the mark had left to the amount of money fred had left is 3:4.
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A student tries out for the track team and runs a lap in 45 seconds. The coach tells her she will have to cut her time by 50% to make the team. How fast must she run a lap to make the team?
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what is the decimal numeral for ten and five hundredths?
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The cost of peanuts varies directly with the number of pounds. If 3 pounds of peanuts cost $6.30, what is the cost of 4.5 pounds
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What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0) ?
Enter your answers in the boxes.
y- = (x-2)
Answer:
the answer is y-5=-5(x-2)
Step-by-step explanation:
I got a one hundred on my quiz so I know for sure this is correct. Also It make sense when you do the math. brainiest pls
Please answer all of the questions and please explain need help ASAP PLEASE ps do the even number questions PLEASE HELP ASAP and EXPlAIN !!!!!!!!
1. You have $18 to buy peppers. Peppers cost $1.50 each. Write and solve and inequality that represents the number of peppers you can buy.
2. You have a gift card worth $90. You want to buy several movies that cost $12 each. Write and solve an inequality that represents the number of movies that you can buy and still have at least $30 on the gift card.
3. Your class sells boxes of oranges to raise $500 for a field trip. You earn $6.25 for each box of oranges sold. Write and solve an inequality that represents the number of boxes your class must sell to meet of exceed the fundraising goal.
4. You want to put up a fence that encloses a triangular region with an area greater than of equal to 60 square feet. What is the least possible value of c? Explain.
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A system of equations is graphed on the coordinate plane.
y=−6x−3 y=−x+2
What is the solution to the system of equations?
Enter the coordinates of the solution in the boxes.
Answer:
6x-3 is going to be 9x and then add x+2 then it equals 11x :)
Step-by-step explanation:
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James plays win the backfield of the big town football team. He made "gains" measured in yards of 3, 4, 1, and 5. What were his average yards per gain? Round your answer to the nearest tenth of a yard
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