A model of a famous statue is 1 1/2 inches tall. The actual statues is 3 3/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?
The ratio of the height of the model to the height of the actual statue, once converted to the same units, is 1:30. The actual statue at 3 3/4 feet tall is equivalent to 45 inches, and the model is 1 1/2 inches tall.
Explanation:To find the ratio of the height of the model to the actual statue, we must first make sure both measurements are in the same units. Since the model is given in inches, we will convert the actual statue's height from feet to inches. There are 12 inches in a foot, so:
3 3/4 feet = 3.75 feet x 12 inches/foot = 45 inches.
Now we can set up the ratio of the model to the actual statue:
1 1/2 inches / 45 inches.
First, convert 1 1/2 inches to an improper fraction, which is (1 x 2 + 1)/2 = 3/2 inches. Our ratio is thus:
(3/2) inches / 45 inches = 3/90 = 1/30.
The ratio in simplest form is 1:30.
What is 24.678 rounded to two decimal places
Karen currently has an account balance of $7,062.25. She opened the account 17 years ago with a deposit of $2,640.95. If the interest compounds monthly, what is the interest rate on the account?
Rolf spent 15 hours last week practicing his saxophone if 3/10 of the time was spent practicing warm-up routines how much time did he spend practicing warm-up routines
Round 4,589 to the thousands
How many times can 2 1/2 be subtracted from 12 1/2
In basketball some baskets worth two points others worth three points.in one game the ratio of three point baskets to three point tries for one team was 5:8 if team scored 60 points from three point baskets,how many three point tries did the team have?
math question down below more than one answer
The cost to manufacture x number of chairs can be represented by the function C(x) = 36x. In this context, what does C(x) = 2268 mean?
Help Me on number 12. A - C
Plz
How many different 12-member juries can be chosen from a pool of 45 people
What is the measure of angle B in the triangle?
This triangle is not drawn to scale.
Enter your answer in the box.
m∠B=
°
A triangle labeled ABC with the angles A forty degrees, angle B parenthesis two x minus thirty parenthesis degree, angle C parenthesis x plus twenty parenthesis degrees
Answer:that answer to the test is 70
Step-by-step explanation:
All matter is made of atoms that cannot be divided or destroyed.
True
False
The equation of a line is X+3Y=14
what is the y-intercept of the line?
Answer: The required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]
Step-by-step explanation: We are given to find the y-intercept of the following equation of a line :
[tex]x+3y=14~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The slope-intercept form of the equation of a line is given by
[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.
From equation (i), we have
[tex]x+3y=14\\\\\Rightarrow 3y=-x+14\\\\\Rightarrow y=-\dfrac{1}{3}x+\dfrac{14}{3}.[/tex]
Comparing the above equation with the slope-intercept form, we get
[tex]\textup{y-intercept, c}=\dfrac{14}{3}.[/tex]
Thus, the required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]
Tyler orders a meal that cost $15 if the tax rate is 6.6% how much will the sales tax be on Tyler's Meal?
Answer:
There would be $ 0.99 sales tax on the meal.
Step-by-step explanation:
Given,
The cost of the meal ordered by him = $15,
sales tax rate percentage = 6.6%,
Thus, the amount of the sales tax = 6.6% of the cost of the meal
= 6.6% of 15
[tex]=\frac{6.6\times 15}{100}[/tex]
[tex]= \frac{99}{100}[/tex]
[tex]= \$ 0.99[/tex]
The sales tax will be $0.99 on Tyler's meal.
what would (-2/3) squared be?
One-sixth of a number is four
Which of the following is a rational number? (4 points)
A. square root of 1
B. square root of 2
C. square root of 3
D. square root of 4
3 and 5/6 minus 2 and 3/4
r - 6183 = 6766 Please put answer down below.
Michael bought 0.44 pounds of sliced turkey. What is the value of the digit in the hundreths place
In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece. What is the minimum number of moves required to complete a two-thousand piece jigsaw puzzle that is separated into individual pieces?
Answer:
1999 moves are required.
Step-by-step explanation:
Given is - In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece.
This means exactly [tex]n-1[/tex] moves are required to solve a jigsaw puzzle with n pieces.
Here, n = 2000
So, moves will be = [tex]2000-1=1999[/tex]
Hence. 1999 moves are needed to solve the puzzle.
Simplify 6 to the power of negative 3 over 6 to the power of 5.
A. 6 to the power of 8
B. 6 to the power of negative 2
C. 1 over 6 to the power of 8
An election ballot asks voters to select two city commissioners from a group of four candidates. In how many ways can this be done?
Carl Drove the following distance for the XYZ delivery company from January through July 914, 740, 815, 550, 815, 1250, 740 what was the means distance miles
One 747-airplane can carry 420 passengers. How many total passengers can three planes carry?
Solve sx+tx=r for x.
840,007 rounded to nearest thousand
In the number 8,888.888, how does the 8 in the hundredths place compare to the 8 in the place to its left? A. The 8 in the hundredths place represents of what the 8 to its left represents. B. The 8 in the hundredths place represents of what the 8 to its left represents. C. The 8 in the hundredths place represents 100 times what the 8 to its left represents. D. The 8 in the hundredths place represents 10 times what the 8 to its left represents.
In the number 8,888.888, the 8 in the hundredths place is one-tenth of the value of the 8 in the tenths place, reflecting the structure of the decimal system where each place to the right of the decimal point is a tenth of the value of the position to its left.
Explanation:When comparing the 8 in the hundredths place to the 8 in the tenths place (the place to its left), we need to remember that in our decimal numbering system, each place to the left is ten times greater than the place to its right. This is a fundamental property of the powers-of-ten notation, which our counting system is based on.
Therefore, the 8 in the hundredths place is one-tenth the value of the 8 in the tenths place. In other words, each 8 in the decimal part of the number 8,888.888 represents ten times less the value of the 8 to its immediate left. This reflects the structure of the decimal system, where each place to the right of the decimal point represents a fraction of 10 of the position to its left.
Learn more about decimal system here:https://brainly.com/question/28222265
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0.5 is 10 times as great as