Final answer:
To find the value of x in the equation x+3.75=11 1/3, convert the mixed number to an improper fraction, subtract and find a common denominator, and solve for x. The solution to the equation is x is approximately 7.5833 or rounded to 7.58.
Explanation:
To solve for x in the equation x+3.75=11 1/3, we first need to convert the mixed number 11 1/3 to an improper fraction. To do this, multiply the whole number by the denominator of the fraction and add the numerator. In this case, (11×3)+1 equals 34, so 11 1/3 is the same as 34/3.
Next, subtract 3.75 from both sides to isolate x on one side of the equation:
x + 3.75 = 34/3
x + 3.75 - 3.75 = 34/3 - 3.75
x = 34/3 - 3.75
To subtract, first convert 3.75 (which is the same as 3 3/4 or 15/4) to an improper fraction, so we get:
x = 34/3 - 15/4
We need a common denominator to subtract these two fractions. The common denominator of 3 and 4 is 12. Multiply the numerator and denominator of the first fraction by 4 and the numerator and denominator of the second fraction by 3 to get:
x = (34×4)/(3×4) - (15×3)/(4×3)
x = 136/12 - 45/12
x = (136 - 45)/12
x = 91/12
x = 7.5833...
Finally, x is approximately 7.5833, which can be rounded to 7.58 if necessary.
write 45% as a fraction in simplest form
Is negative one half rational or irrational
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.
6090The volume of a drop of a certain liquid 0.000047 liter write the volume of the drop of liquid in scientific notation
Which values for x and y make the statement (x + 3)(y - 11) = 0 true?
First answer will be marked brainliest I need this ASAP please!
A. x = -3, y = 11
B. x = 3, y = -11
C. x = -3, y = -11
D. x = 3, y = 11
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 answer to this question
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
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?
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.
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
What's the missing number in the pattern 12,24,72,288 _______
which of the following tables matches the graph below?
There 22,869 children,49,563 men and 2,872 more women than men st the fair.how many people were at the fair?
Which following best express this population
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?
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
solve and check the linear equation 7(x+4)=4[×-(9-x)]
How is mode different from the median?
I have been stuck on this for days someone pls help!!!!
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
How many solutions does (x+7)=0 have
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
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.
johnnys baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. the team has a total of 11 players. let x represent how much each player needs to raise in order to play in the tournament .
Julius playing in a baseball tournament and scored 24 points in her first game if she averages over 20 points for both games she will receive a trophy how many points can Julie score in the second game and receive a trophy solve it as a inequality
to average 20 points in 2 games she needs a total of 20*2 = 40 points
she scored 24 so she needs 40-24 = 16 points in her second game
the question says she needs over 20 points so she should score at least 17 to be over
inequality x+24>40
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
how do you simplify i^68
I believe the answer is 1.
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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How to solve
7x-3=-3+7x