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 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).
A certain TV costs $250. On black Friday, it is on sale for 30% off. What is the price of the TV on black Friday?
Show your work and don’t forget the unit!
To calculate the Black Friday price of the TV, first determine 30% of the original price, which is $75. Subtract this discount from the original price of $250, which yields a Black Friday price of $175.
Explanation:The subject of this question falls under Mathematics, specifically dealing with percentages. The price of the TV on Black Friday would be calculated by first determining the discount amount, which is 30% of the original price of $250.
Calculate 30% of $250 by multiplying 250 by 0.30 (30/100). That gives you $75.
The Black Friday price of the TV is the original price minus the discount amount. Therefore, $250 - $75 equals $175. So, the price of the TV on Black Friday would be $175.
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A chef makes 1 1/2 gallons of soup in a large pot. How many 1 cup servings can the chef get from this large pot of soup
write a mixed number that has a repeating decimal, and write the decimal using 2,3, and 4
A mixed number with a repeating decimal can be represented as 2 2/3 and its decimal equivalent as 2.666... The process involves converting the fractional part of the mixed number into a decimal by dividing the numerator by the denominator.
Explanation:A mixed number with a repeating decimal can be written as 2 2/3, and its decimal representation as: 2.666... Here's the step-by-step explanation:
First, the mixed number is made up of an integer, which is 2, and a fraction, which is 2/3.Next, to convert the fraction into a decimal, you divide the numerator (top number) by the denominator (bottom number). In this case, you divide 2 by 3 which gives you 0.666...Since the original mixed number also had the integer 2, you add that to the decimal, resulting in 2.666....This way, the mixed number 2 2/3 is portrayed using the numbers 2, 3, and 4.
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What is the quotient and remainder for 32 and 6
t- (-12)=-19 I need help
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
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
Draw a diagram that shows 1/5 times 30 equals 6
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:
Aubrey bought a sweater on sale for $12.50. This was 1/3 of the original price. What was the original price?
Write a unit rate for the situation.
18 necklaces made in 3 hours
the unit rate of the situation is 6 necklaces made per hour.
What is unit conversion?The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
Given that 18 necklaces were made in 3 hours
Since,
in 3 hours necklace made = 18
in 1 hour necklaces made = 18/3
in 1 hour necklaces made = 6 per hour
Therefore, the unit rate of the given situation is 6 necklaces made in one hour.
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A clerk has 1/2 book of stamps on Monday. On Tuesday, he used 1/10 of the book of stamps. How much of the book of stamps is left?
A) 3/10
B) 2/5
C) 3/5
D) 9/10
what is 38425 rounded to the nearest thousand
estimate the product of 59 and 42
Determine if these pairs of rates are Equivalent. 14 hours to drive 644 miles; 11 hours to drive 506 miles
15/20 equals 3/5 are the fractions equivalent
rita reads 3 times as many fiction books as non fiction books. what is the ratio of fiction books to total books?
The ratio of fiction books to total books is 3:4 if Rita reads 3 times as many fiction books as nonfiction books.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that:
Rita reads 3 times as many fiction books as non-fiction books.
Let x be the number of non-fiction books
The number of fiction books = 3x
Total books = x + 3x
Total books = 4x
The ratio of fiction books to total books = 3x/4x
The ratio of fiction books to total books = 3/4
The ratio of fiction books to total books = 3:4
Thus, the ratio of fiction books to total books is 3:4 if Rita reads 3 times as many fiction books as nonfiction books.
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Jack and Jill are raising money for a field trip. Jill wants to raise 20% more than jack. If jill reaches her goal and Jack raised $525, how much did they collect IN ALL?
table shows where there are 156 sixth grade students how many more students attended Sharon ton than deacon
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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What is 5-24/6 in words
What is a value that does not change
what times what will give me 42
945 round nearest ten
i am a product. one of my factors is 2. the other factor is 1 greater than 4. what number am i
A wild tiger can eat up to 55 pounds of meat in a day. About how many days would it take for a tiger to eat the following prey?
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↓
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Marshall's mother buys 2 boxes of granola bars each week. Each box contains 8 granola bars. If she continues buying 2 boxes each week, how many granola bars will she buy in a year (1 year = 52 weeks)?
write a problem for the equation 4.65=x-2.35. Then solve the equation and write the answer to your problem:)
Final answer:
To solve 4.65 = x - 2.35, we add 2.35 to both sides, resulting in x = 7, indicating you had $7 initially.
Explanation:
Let's create a mathematical problem for the equation 4.65 = x - 2.35. Imagine you had $4.65 and you spent $2.35 on a snack. You want to calculate how much money you had before buying the snack. To solve this equation, follow these steps:
Add 2.35 to both sides of the equation to isolate the variable x on one side. So, it becomes 4.65 + 2.35 = x.
Combine like terms on the left-hand side, which gives x = 7.
Therefore, you initially had $7 before spending $2.35 on a snack.
2/3 of the product of 3/8 and 16