To find the height of the Space Needle, a proportion is set up comparing the woman's height and shadow length to the Space Needle's shadow length. The calculation reveals that the Space Needle is approximately 60.83 feet tall.
Explanation:The student is asking to solve a proportion problem to determine the height of the Space Needle in Seattle, Washington. This is based on the concept of similar triangles where two figures have the same shape but different sizes, and the sides are in proportion. Since the woman who is 5'5" (which is equivalent to 65 inches) tall casts a 13-inch shadow, we can set up a proportion where the height of the Space Needle is to its shadow (121 feet or 1452 inches) as the woman's height is to her shadow. The proportion looks like this:
Height of Space Needle / 1452 inches = 65 inches / 13 inches
By cross-multiplication, we can solve for the height of the Space Needle:
Height of Space Needle * 13 inches = 65 inches * 1452 inches
Height of Space Needle = (65 * 1452) / 13
Height of Space Needle = 9490 / 13
Height of Space Needle = 730 inches
To convert this back to feet, we divide by 12, since there are 12 inches in a foot:
Height of Space Needle = 730 inches / 12 inches/foot = 60.83 feet (approximately)
Therefore, the Space Needle is approximately 60.83 feet tall, based on the given shadows and the woman's height.
Mr.Thomas puts up a fence posts from one end of a field to the other equal distance apart. There are 27 posts. The width of each post is 10 cm . The distance between the 2 posts is 30 meters. Find the length of the fence
Which situation is not an example of a linear function?
A) The distance traveled if a car is driving at a constant rate of 60 miles per hour.
B) The cost of the bill if a cell phone company charges an initial fee of $25 plus $45 per month.
C) The amount of cake each person gets to eat if a cake is divided equally among the guests at a party.
D) The amount of time spent grading papers if a teacher grades one paper every 8 minutes and takes a 10 minute break.
Answer:
c
Step-y-step explanation:
Lee's paper clip chain is 32 feet long. How is going to add paper clips continually for the next 8 hours. At the end of eight hours, the chain is 80 feet long. Find the unit rate of growth in feet per hour.
Lee's paper clip chain grew at a rate of 6 feet per hour.
Explanation:The question is asking for the rate of growth of Lee's paper clip chain in feet per hour. To find the rate, we need to determine how much the chain grew and over what period of time. We know that the chain started at 32 feet and ended at 80 feet, an increase of 80-32 = 48 feet. This growth took place over 8 hours. The unit rate (or rate of growth) is therefore the growth in feet divided by the time in hours which is 48 feet ÷ 8 hours = 6 feet per hour. So, Lee's paper clip chain grew at a rate of 6 feet per hour.
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Write the divisor of 4/12=1/3
The divisor for simplifying the fraction 4/12 to 1/3 is 4. Dividing fractions typically involves using the inverse of the second fraction, and fractions are often expressed as percentages by converting the denominator to 100.
The question provided asks to write the divisor of the fraction 4/12 which has been simplified to 1/3. In the context of this fraction, the divisor is essentially the part of the fraction that we are dividing by, which, in this case, is the denominator.
When the fraction 4/12 is simplified, both the numerator (top number) and the denominator (bottom number) are divided by their greatest common divisor, which is 4. Therefore, the divisor used in the simplification process of 4/12 to 1/3 is 4.
A recipe asks for 3/4 cup brown sugar for each 2/3 cup white sugar how many cups of brown sugar per cups of white sugar?
a sugar solution was made by mixing 8 qt of a 2% sugar solution and 6 qt. of a 51% sugar solution. find the concentration of the new mixture
The new mixture, combined from an 8 qt 2% sugar solution and a 6 qt 51% sugar solution, has a sugar concentration of approximately 22.86%.
Explanation:To find the concentration of the new mixture, we first need to understand that the total amount of sugar in the solution is the sum of the sugar in the 2% solution and the 51% solution. We are mixing 8 qt of a 2% sugar solution and 6 qt of a 51% sugar solution.
First, to find the total amount of sugar in the 2% mixture, multiply 8 qt by 2% (or 0.02). This gives:8 qt * 0.02 = 0.16 qtof sugar.
Second, do the same for the 51% solution: 6 qt * 0.51 = 3.06 qt of sugar.
Add these two amounts to find the total quantity of sugar: 0.16 qt + 3.06 qt = 3.22 qt.
The total volume of the solution is the sum of both volumes, or 8 qt + 6 qt = 14 qt.
Finally, we find the concentration of sugar in the new solution by dividing the total quantity of sugar by the total volume of the solution, and then multiplying by 100 to get a percentage:
(3.22 qt / 14 qt) * 100 = 22.86%
So, the new mixture has a sugar concentration of about 22.86%.
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What is the value of 7 in 6,735?
a major league baseball player was able to hit 70 home runs in 162 games. create a unit rate for this information.
What is the quotient and remainder for 32 and 6
2×+3 for x=3 I got 2 so I was seeing if I got it right
What is a value that does not change
What is the greatest common factor of 15 and 20?
Write a problem that requires multiplying two decimals to find the answer. The product must have two decimals places.
A problem that requires multiplying two decimals is "If length of a rectangle is 0.2 m and breadth of a rectangle is 0.5 m.Then what is the area of the rectangle ?
What is Multiplication?
Multiplication is an operation that represents the basic idea of adding the same number repeatedly. The multiplied numbers are called factors, and the result obtained after multiplying two or more numbers is called the product of those numbers. Multiplication is used to simplify the task of repeatedly adding the same number.
Manually multiplying numbers to more than a few decimal places is tedious and error-prone. Common logarithms were invented to simplify such calculations, since the addition of logarithms equals multiplication. The slide rule made it possible to quickly multiply the number to an accuracy of about three. Beginning in the early 20th century, mechanical calculators such as the Marchant multiplied numbers up to 10 digits automatically. Modern electronic computers and calculators have greatly reduced the need for manual multiplication.
Here we are taking two decimal numbers 0.2 and 0.5.
If length of a rectangle is 0.2 m and breadth of a rectangle is 0.5 m.Then what is the area of the rectangle ?
Solution: Area of a rectangle = Length × Breadth
[tex] = 0.2 \times 0.5 \\ = 0.10 \: {m}^{2} [/tex]
Here 0.10 is a two decimal number.
Therefore, required problem is A problem that requires multiplying two decimals is "If length of a rectangle is 0.2 m and breadth of a rectangle is 0.5 m.Then what is the area of the rectangle ?
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What is.the reminder of 6 divided 75
A furniture store salesman had $15,200 in total monthly sales last month. He made $912 in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
Answer
Find out the what is the salesman's commission as a percent of his total monthly sales.
To prove
Formula
[tex]Percentage = \frac{Part\ value\times100}{Total\ value}[/tex]
As given
A furniture store salesman had $15,200 in total monthly sales last month.
He made $912 in commission from those sales.
Here
Part value = $912
Total value = $15,200
put in the formula
[tex]Percentage = \frac{912\times 100}{15200}[/tex]
solve the above equation
[tex]Percentage = \frac{91200}{15200}[/tex]
Percenatge = 6 %
Therefore the salesman's commission is 6% of his total monthly sales .
Jeremy has two 7 foot long boards. He needs to cut pieces that are 15 inches long from the boards. What is the greatest number of 15 inch pieces he can cut from the two boards ?
what is an appropriate data display for the distribution of teachers by age?
945 round nearest ten
Kristen and Mitchell were given the same math assignment. Kristen completes 0.8 of her work in class. Mitchell completes 0.75 of his work during class. Who has more homework remaining after class?
Jaylan makes limeade using 3/4 cup of water per 1/5 cup of lime juice. Wanchen makes limeade using 2/3 cup of water per 1/6 cup of lime juice. Find the unit rate of water (cups) per lime juice (cups). Whose limeade has a weaker flavor? Explain and show your work
If Jaylan makes limeade using 3/4 cup of water per 1/5 cup of lime juice.
Jaylan's limeade has a unit rate of 3 3/4 cups of water per cup of lime juice.Wanchen's limeade has a unit rate of 4 cups of water per cup of lime juice.What is the unit rate?Given:
Jaylan's recipe: 3/4 cup of water per 1/5 cup of lime juice
Wanchen's recipe: 2/3 cup of water per 1/6 cup of lime juice
Jaylan's recipe:
Unit rate = (3/4 cup of water) / (1/5 cup of lime juice)
= (3/4) / (1/5) [dividing fractions is the same as multiplying by the reciprocal]
= (3/4) * (5/1)
= (3 * 5) / (4 * 1)
= 15/4
= 3 3/4 cups of water per cup of lime juice
Wanchen's recipe:
Unit rate = (2/3 cup of water) / (1/6 cup of lime juice)
= (2/3) / (1/6)
= (2/3) * (6/1)
= (2 * 6) / (3 * 1)
= 12/3
= 4 cups of water per cup of lime juice
Compare the unit rates:
Jaylan's limeade has a unit rate of 3 3/4 cups of water per cup of lime juice.Wanchen's limeade has a unit rate of 4 cups of water per cup of lime juice.A higher unit rate means there is more water per cup of lime juice which results in a weaker flavor.
Therefore, Wanchen's limeade has a weaker flavor compared to Jaylan's limeade as it has a higher unit rate of water per lime juice.
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What is a spiral review of 14-6
a rectangular closet has a perimeter of 10 feet. if the width of the closet is the length of the closet
Final answer:
The dimensions of the closet are 2.5 feet in length by 2.5 feet in width, given the perimeter is 10 feet and the length is equal to the width.
Explanation:
To solve this problem, we start by understanding that the perimeter of a closet is the sum of all its sides. For a rectangular closet where the length (L) is equal to the width (W), we can express the perimeter (P) as:
P = 2L + 2W
Given that the perimeter is 10 feet and L = W, we can set up the equation:
10 = 2L + 2L
Combining like terms, we get:
10 = 4L
Divide both sides by 4 to find the length:
L = 2.5 feet
Since the width is equal to the length in this closet, W also equals 2.5 feet. Therefore, the dimensions of the closet are 2.5 feet by 2.5 feet.
The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes spent producing fruit cans, and y = number of minutes producing vegetable cans. If the vegetable assembly line runs for 3 minutes, how many minutes would the fruit assembly line need to run to complete the order of 384 cans? Explain.
Answer: 8 minutes
Step-by-step explanation:
Given equation: 24x + 64y = 384, that represents the canned goods order .
where x = number of minutes spent producing fruit cans,
and y = number of minutes producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get
[tex]24x+64(3)=384\\\Rightarrow24x+192=384\\\Rightarrow24x=384-192\\\Rightarrow24x=192\\\Rightarrow\ x=\frac{192}{24}\\\Rightarrow\ x=8[/tex]
Therefore, the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.
Answer:
Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.
Step-by-step explanation:
sample response on edge 2023
What is 0.0059 in scientific notation ?
The number 0.0059 in scientific notation is 5.9 × 10^(-3).
We have,
To express 0.0059 in scientific notation, we need to write it in the form of "[tex]a \times 10^b[/tex]," where a is a number between 1 and 10, and b is an integer.
0.0059 can be expressed as [tex]5.9 \times 10^{-3}[/tex] in scientific notation.
The decimal point is moved three places to the right to make the number between 1 and 10, and the exponent is set to -3 to account for the number of decimal places moved.
Therefore,
The number 0.0059 in scientific notation is [tex]5.9 \times 10^{-3}.[/tex]
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i am a product. one of my factors is 2. the other factor is 1 greater than 4. what number am i
the capacity of a container is 2060 milliliters convert this to liters
The capacity of a container in liters : 2.06
Further explanationVolume is a derivative quantity derived from the length
The unit of volume can be expressed in liters or milliliters or cubic meters
The conversion is
1 cc = 1 cm³
1 dm³ = 1 Liter
1 mL = 1 cm³
The capacity of a container is 2060 milliliters
if we look at the volume conversion sequence, the position of ml is below l by one levels, so if we change from ml to l then the conversion goes up one level so our volume value is divided by 1000
The division of numbers with the number 10,100, etc. can be done by shifting left according to the number of zeros in the numbers:
Because our numbers are divided by 1000, we move the commas from right to left by 3
So:
2060 : 1000
[tex]\large{\boxed{2}\boxed{0}\boxed{6}\boxed{0}}\Rightarrow\large{\boxed{2}\boxed,\leftarrow\boxed{0}\leftarrow\boxed{6}\leftarrow\boxed{0}[/tex]
[tex]\large{\boxed{\boxed{\bold{= 2.06~liters}}}[/tex]
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Keywords:volume, liters, mililiters
what's 34.6 times 10 to the second power in scientific notation
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What is slope of the libe
The slope of the line in the graph below, which passes through points (0, 3) and (-6, 0) is calculated as: 1/2.
What is the slope of a line?
The slope (m) of a line is given by the formula m = change in y / change in x, where change in y is the change in y-coordinates and change in x is the change in x-coordinates between two points on the line. Using the two points on the line such as (0, 3) and (-6, 0):
Slope = [tex]\[ m = \frac{{0 - 3}}{{-6 - 0}}[/tex]
Slope (m) = -3 / -6
Slope (m) = 1/2
Therefore, the slope of the line is 1/2.
Complete Question:
What is slope of the line (the missing image is given below).
Caroline swam 525 meters in 5 minutes at a constant speed. At what speed was she swimming?