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.
Solve for the variable. Type the value of the variable in the answer. For example if x = 2, only enter 2 in the answer blank. Solve.
8
-- = 2
13
The average polar bear weighs 1,200 pounds. The average grizzly bear weighs 800 pounds. The average black bear weighs 400 pounds. The average polar bear weighs how many times more than the average black bear?
Two more than a certain number is 15 less than the product of 7/8 and the number
Final answer:
The algebraic equation derived from the statement is solved by isolating 'x' after moving terms to either side of the equation and combining like terms. The solution to the equation is x = -136, which represents the certain number in question.
Explanation:
Solving the Algebraic Equation
The question can be translated into an algebraic equation. Let's call the certain number 'x'. According to the problem, 'two more than a certain number is 15 less than the product of 7/8 and the number'. We can write this as:
x + 2 = (7/8)x - 15
To solve for x, we can start by moving all terms involving x to one side of the equation and the constant terms to the other side, aiming to isolate x:
Subtract (7/8)x from both sides to get x - (7/8)x + 2 = -15.
Combine like terms, remembering that x is the same as (8/8)x, which results in (1/8)x + 2 = -15.
Subtract 2 from both sides to get (1/8)x = -17.
Multiply both sides by 8 to find x. Therefore, x = -136.
The certain number in the equation is -136.
7.4p - 9.2p = -2.6 + 5.3
solve and check the linear equation 7(x+4)=4[×-(9-x)]
The sides of a hexagon are equal in length. The perimeter of the hexagon is at most 42 in. Find the possible side lengths of the hexagon
The wait time of a line t hours after a store opens is given by the expression.
40x−12x+2340x−1 x+23
What does the value 23 represent?
A.the total number of people in line
B. the total rate of change in people per hour
C.the rate at which people join the line
D.the number of people in line when the store opened
Tom went on a bike ride to the store 3 miles away if it took Time 1/2 hour to get there in 2/3 of an hour to get back what was his average rate of speed miles per hour for the entire trip
In order to achieve the times that he did in going to and from the store, Tom went at an average speed of 5.14 miles per hour.
The store was 3 miles away which means that the distance of the entire trip is:
= Distance going + Distance coming
= 3 + 3
= 6 miles in total
The time he took was:
= Time going + Time coming
= 1/2 hours + 2/3 hours
= 0.5 + 0.67
= 1.17 hours
His average speed for the entire journey is:
= Distance / Time
= 6 / 1.17
= 5.14 miles per hour
In conclusion, Tom's average speed was 5.14 miles per hour.
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List three numbers that are divisible by 3, 4 and five
To find numbers divisible by 3, 4, and 5, we need to find common multiples of these three numbers. One example is 30, and other possible numbers include 60 and 90.
Explanation:When we need to find numbers that are divisible by 3, 4, and 5, we can look for numbers that are common multiples of these three numbers. In other words, we need to find numbers that can be divided evenly by 3, 4, and 5 without any remainder. Let's take a look at the first few numbers and see if they satisfy this condition.
15: 15 is divisible by 3 (15 ÷ 3 = 5), divisible by 5 (15 ÷ 5 = 3), but not divisible by 4 (15 ÷ 4 = 3 remainder 3), so it is not a solution.20: 20 is not divisible by 3 (20 ÷ 3 = 6 remainder 2), not divisible by 4 (20 ÷ 4 = 5 remainder 0), but divisible by 5 (20 ÷ 5 = 4), so it is not a solution.30: 30 is divisible by 3 (30 ÷ 3 = 10), divisible by 4 (30 ÷ 4 = 7 remainder 2), and divisible by 5 (30 ÷ 5 = 6), so it is a solution.From our analysis, we found that the number 30 is divisible by 3, 4, and 5. We can list two more numbers by finding common multiples of these three numbers.
6090Which following best express this population
Jasmine has a budget of $800 for catering. The catering company charges $12.50 per person. Write and solve an inequality to show the number of guests Jasmine can invite.
About 12500 icebergs break away from Greenland each year of these about 375 float onto the Atlantic Ocean what fraction of the icebergs float onto the Atlantic Ocean ? Write your answer for part a as a decimal? What fraction of the icebergs do not float onto Atlantic?
Write these words in alphabetical order: tenth rough tough laugh guess
The words 'tenth rough tough laugh guess' in alphabetical order are 'guess, laugh, rough, tenth, tough'. The order is determined by the letters of the alphabet.
Explanation:The English words from your question 'tenth rough tough laugh guess' can be rearranged in
alphabetical order
as follows: 'guess, laugh, rough, tenth, tough'. Alphabetical order is determined by the letters of words following the order of letters in the alphabet. So, first, all the words starting with 'g', then 'l', then 'r', then 't'. In this specific circumstance, since 'tenth', 'tough', and 'rough' all begin with the same letter, we must look at the following letter in each word to determine their order.
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Which are partial products for 89 × 25?
A. 9 X 2 = 18
B. 8 X 5 = 40
C. 9 X 5 = 45
D. 80 X 20
Customers at an ice-cream shop took a survey. The results showed that 144 customers rates the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey ? explaination plz
The total number of customers who took the survey is 320 customers
let
x = total number of customers
percentage of "very satisfactory" customers = 45%
Number of "very satisfactory" customers = 144
So,
Number of "very satisfactory" customers = percentage of "very satisfactory" customers × total number of customers
144 = 45% × x
144 = 0.45 × x
144 = 0.45x
x = 144/0.45
x = 320
Therefore, the total number of customers who took the survey is 320
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the left and right page numbers of an open book are two consecutive integers whose sum is 329. Find these page numbers.
Follow below steps:
The student is seeking to find two consecutive integers whose sum is 329. This is a mathematics problem and involves understanding of even and odd numbers as well as basic algebra. Since the numbers are consecutive, we can represent them as n and n + 1. The sum of these numbers given in the problem is 329, so we have the equation n + (n + 1) = 329.
Solving this equation:
Combine like terms: 2n + 1 = 329
Subtract 1 from both sides: 2n = 328
Divide both sides by 2: n = 164
Thus, the two consecutive page numbers of the book are 164 and 165
What is (12x - 32) in simplest form as an expression?
The expression (12x - 32) is already in simplest form.
Explanation:The expression (12x - 32) is already in simplest form. There are no like terms to combine or any common factors to factor out. So the expression cannot be simplified further.
Mike earned $11.76 per hour for working 23.5 hours last week.How much money did Mike earn last week?
suppose you want to buy three loaves of bread that cost $1•50 each and a jar of peanut butter that costs $4. A jar of jelly is $2•75, but you don't need any jelly. you have $10. how much money will you have left over
which of the following tables matches the graph below?
the answer to this question
1/2 +2/3=?
What's the answer?
write 45% as a fraction in simplest form
The volume of a drop of a certain liquid 0.000047 liter write the volume of the drop of liquid in scientific notation
four of these points lie on a straight line. which one is the odd one out?
(-3,-3) (-2,-1) (2,5) (4,11) (5,13)
There 22,869 children,49,563 men and 2,872 more women than men st the fair.how many people were at the fair?
Use the function f(x) = 2 - 5x to fill in the blanks in the table.
x f(x)
-2
-1
0
1
2
2-5(-2)=12
2-5(-1)=7
2-5(0)=2
2-5(1)=-3
2-5(2)=-8
I have been stuck on this for days someone pls help!!!!
How is mode different from the median?
How many solutions does (x+7)=0 have