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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2/3 of the product of 3/8 and 16
945 round nearest ten
Caroline swam 525 meters in 5 minutes at a constant speed. At what speed was she swimming?
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 38425 rounded to the nearest thousand
estimate the product of 59 and 42
Draw a diagram that shows 1/5 times 30 equals 6
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
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:
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 ?
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
Aubrey bought a sweater on sale for $12.50. This was 1/3 of the original price. What was the original price?
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
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.
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?
↓
↓
↓
What is the quotient and remainder for 32 and 6
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
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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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 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's 34.6 times 10 to the second power in scientific notation
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?
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)?
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.
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