Mixture is kept undisturbed for some time. After some time, sand being heavier and insoluble in water, settles down at the bottom of container.
What technique would you use to separate sand from water?Sand and water are separated in this situation using filtering. The filter funnel, which is lined with filter paper, is filled with the sand and water mixture.
The paper allows the water to escape and accumulate in the beaker. Sand particles build up in the filter funnel because they can't pass through the filter paper. One of humankind's first methods of water treatment, distillation desalination is still a widely used treatment method today.
Many ancient civilizations employed this method to turn seawater into drinkable water aboard their ships. The differing densities of salt and sand are the basis for another physical separation technique. Sand has a density of 2.65 g/cm3, but salt has a density of 2.16 g/cm3.
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The ratio of the number of comic books in Yazmin’s collection to the number of comic books in Itzel’s collection is 4:1. Itzel has 6 comic books. How many comic books does Yazmin have?
Answer: 35
Step-by-step explanation: 41 - 6 = 35
Is inverse relationship direct?
An inverse relationship can not direct.
We know that an inverse proportion represents inverse or indirect relation between two quantities.
In inverse relationship, one value increases while the other value decreases, and vice versa.
But in case of direct relationship, if one quantity increases , the other quantity also increases, and if one quantity decreases , the other quantity also decreases.
When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity 'n' decreases, and vice versa.
Also, an inverse relationship always has a negative slope.
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The distance between two cities on a map is 25 inches. The actual distance between the two cities is 400 miles. How many miles would 35 inches be on the map?
560 miles
285 miles
16 miles
11 miles
560 miles would 35 inches be on the map.
What is distance?
Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
Given:
The distance between two cities on a map is 25 inches.
The actual distance between the two cities is 400 miles.
We have to find the how many miles would 35 inches be on the map.
As the distance between two cities on a map is 25 inches but the actual distance between the two cities is 400 miles.
⇒ 400/25 = 16 miles would be map in a one inches.
⇒ 16 x 35 = 560 miles would be map in a 35 inches.
Hence, 560 miles would 35 inches be on the map
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Scenario #3 after seeing what you owe at the end of the year, do you still * 25 points
want the credit card or would you rather stick to your cash allowance?
and why?
To me, I would rather stick to your cash allowance so as not to be in debt but the choice between using a credit card or cash allowance depends on your individual financial situation and goals. If you are concerned about overspending or managing debt, using a cash allowance might be a better choice.
What is the benefit of cash allowance?The Advantages of using cash allowance:
Budget control - Using cash only can help you stay within your budget, as you only spend what you have physically on hand.No interest charges - With a cash allowance, you don't have to worry about interest charges or late fees if you are unable to pay your balance in full.Lastly, No temptation to overspend - When using cash, it's easier to keep track of your spending and avoid overspending compared to using a credit card.
However, if you want to build a positive credit history and take advantage of rewards, a credit card might be a good option for you.
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PLEASE HELP ASAP!!!!!!!!!!!
Answer:
1.) x = 7
3.) m = 1 and m = 5
5.) [tex]x=\frac{3}{7}\\[/tex]
7.) n = 4 , [tex]n=-\frac{3}{2}[/tex]
Extra credit) [tex]t=-\frac{1}{9}[/tex]
Step-by-step explanation:
Question 1
Multiply both sides by 5
simplify: x - 1 = 6
Add 1 to both sides
Question 3
Multiply by the Least common multiple (5 = 6m - m^2)
solve 5 = 6m - m^2!
Question 5
Cross multiply
move x to the left side
Divide both sides by 7
Simplify
Question 7
Cross Multiply
Solve
Extra Credit
Multiply by Least Common Denominator
move 2 to the right and t to the left side.
Divide both sides by 18
Simplify
Find the equation of the tangent to the circle, whose equation is given below, at the point (0,4).
(x−2)² + (y−3)² = 5
Give your answer in the form y=mx+c.
The equation of the tangent to the circle, whose equation is given below, at the point (0,4).
(x−2)² + (y−3)² = 5 is y = -x + 4
How do you find the equation?The equation of a circle is (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the center of the circle, and r is the radius. So given equation is of circle whose center is (2,3) and radius is √(5)
To find the equation of the tangent to the circle at point (0,4) we have to find the slope of tangent and point of tangent.
The slope of tangent is equal to the derivative of the equation of the circle.
y = mx + c
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, 4) and (x2, y2) = (2, 3)
so, m = (3-4) / (2-0) = -1
Now, we know the slope of the tangent line is -1, we can substitute this value in the point slope form of line equation,
y - y1 = m(x - x1)
y - 4 = -1(x - 0)
y = -x + 4
So, the equation of the tangent to the circle at the point (0,4) is y = -x + 4
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Multiply.
(4a+5) (7a+3)
Simplify your answer.
0
Answer:
[tex]28a {}^{2} + 47a + 15[/tex]
Step-by-step explanation:
Multiply what's inside the brackets with the outside brackets:
[tex](4a + 5)(7a + 3) = [/tex]
[tex](4a \times 7a) + (4a \times 3) + (5 \times 7a) + (5 \times 3) = [/tex]
[tex]28a {}^{2} + 12a + 35a + 15 = [/tex]
[tex]28a {}^{2} + 47a + 15[/tex]
To begin a bacteria study, a petri dish had 2600 bacteria cells. Each hour since, the number of cells has increased by 15%.
Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
The exponential function showing relationship between y and t will be y=2600(23/20)^t.
What are exponential functions?
An exponential function is a Mathematical function in the form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
Now,
Initial bacteria cells=2600 (p)
rate of increment = 15% (r)
Number of hours = t
y=Number of bacteria cells at any time
To find the relationship between y and t
we use the formula Quantity = Initial quantity*(1+r/100)^t
-- (A=p*(1+r/100)^t )
therefore,
y=2600(1+15/100)^t
y=2600(23/20)^t
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why is the natural human beings income
so low.
Technology advancement, globalization, commodity price fluctuations, and domestic economic policies such redistributive fiscal policies, labor and product market policies are some of the major causes of the rise in intra-country income inequality documented in the literature.
High levels of income inequality are associated with financial crises, debt, inflation, and economic instability.
Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income (the amount of money people are paid) (the amount of wealth people own).
Income Requirements - What elements influence your income?Educating yourself. Your level of education has a significant impact on your future income and can open up more chances in a particular profession. ... Your Talents. Your ability to earn money is closely related to your skill set and areas of expertise. Trends in the economy.
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The problem is on the picture. Thank you!
We can still simplify the fraction by dividing the numerator and denominator by 5 one more to obtain the final result, which is 29/40.
What is a Fraction?As the fraction's numerator, you should first write 725 because that is how the number appears after the decimal point.
We will take 1,000 as the fraction's denominator because there are three digits following the decimal point, allowing us to add three zeros and a one before it.
725/1000 is not the lowest word for the fraction.
The result of dividing the numerator and denominator by 5 is
145/200.
We can still simplify the fraction by dividing the numerator and denominator by 5 one more to obtain the final result,
which is 29/40.
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TRY MORE
Read and understand the following situations. Solve for the answer.
1. Mrs. Ramirez donated P 5 000. 00 for typhoon Ulysses victims. If 50% of
her donation was sent to Catanduanes while another 50% to Cagayan
how much did the victims from Catanduanes and Cagayan receive?
2. Mang Juan harvested calamansi in his backyard and put them in a
small basket. 2/5 of the calamansi were ripe and the rest were still
unripe. He used all the ripe calamansi and 25% of the unripe calamansi
for juice. What percentage was used for the juice
1. The victims from Catanduanes and Cagayan receive P 2,500.00.
Mrs. Ramirez donated P 5,000.00 and 50% of it was sent to Catanduanes while another 50% was sent to Cagayan.
So, the victims from Catanduanes received P 5,000.00 x 50/100 = P 2,500.00 and the victims from Cagayan received P 5,000.00 x 50/100 = P 2,500.00.
2. The percentage of the calamansi used for juice is 60%
Mang Juan harvested calamansi and put them in a small basket. 2/5 of the calamansi were ripe, and the rest were unripe. He used all the ripe calamansi and 25% of the unripe calamansi for juice.
So, the number of ripe calamansi used for juice is 2/5 x the total number of calamansi, and the number of unripe calamansi used for juice is 25/100 x (1-2/5) x the total number of calamansi.
The total percentage of the calamansi used for juice is (2/5 + 25/100 x (1-2/5)) x 100%.
So, The percentage of the calamansi used for juice = (2/5 + 1/5) x 100 = (3/5) x 100 = 60%
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1. If AABC is an equilateral triangle, solve for both x and y.
B
«-^…..
49 m
3x + 1
C
18y-41
A
2. If ARST is an equilateral triangle, find x and the measure of each side.
S
12x - 12,
R
4x - 25
7x + 18
3. If AMNP has ZMANEP, find x and the measure of each side.
N
- A
M
6x - 51
8x13
10x - 6
W
6x-77
T
4. If ADEF is a (below) triangle with DF, find x and the measure of each side.
E
x + 14
P
5x +17
D
x + 21
5. If AWXY is isoscetes, with WXXY, find x and the measure of each side.
X
5x – 31
F
3x + 4
Y
Therefore , the solution to the given problem of triangle comes out to be X=16 and Y=5.
What exactly is a triangle?The fact that a triangle contains four points or sections qualifies it as a polygon. It is an elementary geometric form. Triangle ABC is the name given to a rectangle with side A, B, or C. Euclidean geometry produces a single surface and square where sides are not collinear. It is a polygon if a triangular has three parts and three corners. The intersection of a triangle's three sides is at its corners. Three triangle angles added together equal 180 degrees.
Here,
Assumed: X=16 Y=5.
Since both sides of an equilateral triangle are the same length, the equation is 18y-41=3x+1=49.
working out x
Considering 3x+1=49
grouping similar terms
3x=49-1=48
units: x=48/3=16
working out y
thinking about 18y-41=49
18y=49+41=90
units of y=90/18=5
As a result, X=16 and Y=5 are the answers to the triangle problem given.
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Is a conditional equation , an identity or a contradiction ?
A conditional equation is neither an identity nor a contradiction. It is a statement that is only true under certain conditions.
A conditional equation is an equation that expresses a condition. It has two parts: a hypothesis (or antecedent) and a conclusion (or consequent). The hypothesis states that a certain condition must be met in order for the conclusion to be true. For example, the equation "if x = 4, then x + 1 = 5" is a conditional equation. If the condition (x = 4) is true, then the conclusion (x + 1 = 5) is also true. However, if the condition is false, then the conclusion is also false. Therefore, a conditional equation is neither an identity nor a contradiction, but rather a statement that is only true under certain conditions.
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SOMEONE, PLEASE HELP ME!!! I NEED AN ANSWER ASAP!
Answer:
Price per topping
Step-by-step explanation:
Because the price changes per number of toppings, the graph shows the price per number of toppings.
Round the number 25849 to the nearest hundred.
Answer: 25800
Step-by-step explanation: If you want to round to the nearest hundred, then you look at the tens digit. Since the tens digit is 4, you round it down and then you get 25800.
Can someone help with this question for math pls
Answer:
To evaluate the expression (-(7)/(10)+0.15)/(-(1)/(8)), we need to simplify it step by step by following the order of operations (PEMDAS)
Parentheses: First we need to simplify the expressions inside the parentheses,
(7)/(10) = -0.7
-(1)/(8) = -1/8
Addition and Subtraction: Next we need to add and subtract the numbers,
-0.7 + 0.15 = -0.55
Division: Next we need to divide the numbers,
(-0.55) / (-1/8) = -0.55 * 8/-1 = 4.4
So the final result is 4.4
Note that the negative signs in the numerator and denominator can be thought as multiplying by -1.
which graph best represents the following inequality y<_ -5/6 +2/3
The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
The inequality is,
⇒ y ≤ - 5/6x + 2/3
Now, We can draw the graph of inequality y ≤ - 5/6x + 2/3.
Hence, The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.
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Over 4 days, Krista deposited $45 into her
bank account, transferred $30 to a friend,
deposited $59, and withdrew $18. What was
the mean change per day to Krista's account
during that week?
If Over 4 days, Krista deposited $45 into her bank account, transferred $30 to a friend, the mean change per day to Krista's account during that week is $14.
How to find the Mean change per day?First step is to find the total money in the account
Total money in the account = $45 - $30 + $59 - $18
Total money in the account = $56
Now let find the mean change per day
Mean change per day = Total money in the account /Total number of days
Mean change per day = $56 /4 days
Mean change per day = $14
Therefore the Mean change per day is $14.
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meeny, miny and moe were playing tennis. from the second game on, the one who sat out the preceding game would replace the loser of that game. at the end, meeny played games and miny played games. how many games did moe play?
In the end, Moe played 51 games, while Meeny played 17 games and Miny played 35 games.
We can start solving the problem by using algebra. Let x be the number of games Moe played. Then, since Meeny and Miny played 17 and 35 games respectively, the total number of games played is 17 + 35 + x = x + 52.
We know that in the second game and on, the one who sat out the preceding game would replace the loser of that game. Therefore, the number of games played by Moe is one less than the number of games played by Meeny and Miny combined.
x = (17 + 35) - 1 = 51.
So, Moe played 51 games.
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The complete question is -
Meeny, Miny and Moe were playing tennis. From the second game on, the one who sat out the preceding game would replace the loser of that game. In the end, Meeny played 17 games and Miny played 35 games. How many games did Moe play?
How do you tell if a pair of equations are parallel perpendicular or neither?
Two non-vertical lines in the same plane are said to be parallel if they have the same slope. No two parallel lines will ever cross. A set of non-vertical lines within the same plane are considered to be perpendicular if they meet at a right angle.
Perpendicular lines and parallel lines both meet at 90 degrees, although parallel lines never do. Lines are perpendicular if the slope of one line is equal to the reciprocal of the second line's negative slope.
Lines that have the same slope are therefore said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are just intersecting lines.
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please help and answer
Answer:
75.25
Step-by-step explanation:
to find the area of the square you multiply 5.5×5.5
you then add that to the are of the trapezoid using the formula a=a+b/2 h
you plug it all in and get (5.5×5.5)+((5.5+9.5/2)6)
the answer to that is 75.25
Express the trig ratios as fractions in simplest terms.
The trigonometric functions sin R and Cos Q will have same Trigonometric ratios as Sin R=24/51 and Cos Q=24/51
What are trigonometric functions?
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.
The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions
Now
As Trigonometric ratios for Sin R=Perpendicular/Hypotenuse and Cos Q=Base/Hypotenuse
Hence,
Sin R=24/51 and Cos Q=24/51
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A salad dressing recipe uses 1. 5 cups of olive oil per batch and 0. 75 cups of vinegar per batch eden makes 3 1/2 batches of the salad dressing how many cups of salad does eden make
Please answer!!!!!!!!!!!!!!!!!
To make 3.5 batches of salad dressing, 7.875 cups of salad dressing are required.
What is equation?A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 = 2.
Here,
1.5 cups of olive oil and .75 cups vinegar for 1 batch of salad dressing.
1.5+0.75=2.25 cups for 1 batch of dressing
3 1/2=3.5 batch
Total amount of cups=3.5*2.25
=7.875 cups of salad dressing
7.875 cups of salad dressing will be be needed to make 3.5 batches of salad dressing.
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HELP 7TH GRADE MATH FELTA MATH
You can easily, double and even triple the recipe; just make sure you are using a pot large enough to hold the rice as it cooks and expands.
How many cups of water is 6 cups of rice?Use at least 12 cups of water for every cup of rice while bringing a large pot of water to a boil. To get rid of extra starch, rinse* the rice in a colander with a fine mesh under running water. Rice should be added to the boiling water.
12 cups of water to 6 cups of rice is the standard water to white rice ratio. Simply make sure you are using a pot big enough to handle the rice while it cooks and expands.
You can easily double or even quadruple the recipe. By delicately placing the tip of your pointer finger on top of the rice and measuring from there, you may determine the proper depth (see photo below). When the tip of your finger reaches the water, it should be at your first knuckle.
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A bulletin board has a perimeter of 300 in. Write an equation that expresses the area A(w) of the bulletin board as a function of its width
the width of the bulletin board is -200 in.
Step-by-step explanation:
Let w = the width of the bulletin board
Since the perimeter of the bulletin board is 300 in, we can write the equation:
2w + 2(300 - w) = 300
Simplifying:
2w + 600 - 2w = 300
0 = 300 - 600
-600 = 300
Therefore, the width of the bulletin board is -200 in.
Now that we know the width of the bulletin board, we can express the area A(w) as a function of its width w:
A(w) = w * (-200)
A(w) = -200w
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mary, trey, and lamar sent a total of 100 text messages over their cell phones during the weekend. lamar sent 3 times as many messages as mary. mary sent 10 more messages than trey. how many messages did they each send?
Out of 100 messages, Trey sent 12 messages, Mary sent 15 messages and Lamar sent 75 messages.
Let the number of messages sent by Trey be x. So, the number of messages sent by Mary will be (x+10). The number of messages by Lamar will be 3×(x+10). Their sum of is 100, so representing the information in equation form.
x + x + 10 + 3(x + 10) = 100
Performing multiplication on Left Hand Side of the equation
x + x + 10 + 3x + 30 = 100
Performing addition
5x + 40 = 100
Rewriting the equation
5x = 100 - 40
Performing subtraction
5x = 60
x = 60/5
Performing division
x = 12
Messages sent by Trey = 12
Messages sent by Mary = 12 + 3
Messages sent by Mary = 15
Messages sent by Lamar = 3(15 + 10)
Messages sent by Lamar = 3×25
Messages sent by Lamar = 75
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Please answer I need help
I don't know a good way to solve this
By calculating , the values of angles D and E are 80 , 80 respectively.
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and the sum of three angles is always 180 degrees .
Given ,
from the figure ,
In triangle ECD
The sum of three angles = 180
so ,
E+C+D = 180
50+50+D = 180
D = 180-100
D = 80
And in the Quadrilateral AECB,
A+E+C+B = 360
110+70+100 + E = 360
E = 360 - 280
E = 80
Hence, the values of angles D and E are 80 , 80 respectively.
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It took the Phillips family 6 hours to drive to their vacation destination. Due to traffic, it took them 8. 7 hours to drive home
When it takes 6 hours to travel and 8.7 hours to return home, there is a 45% increase in travel time.
What is percent?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement. In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
Here,
Time take to arrive at vacation destination=6 hours
Time take to arrive at home=8.7 hours
percent increase=(8.7-6)/6*100
=45%
The percent increase in the time taken to come back to home is 45% when they took 6 hours to reach and 8.7 hours to comeback.
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Complete question:
It took the Phillips family 6 hours to drive to their vacation destination. Due to traffic, it took them 8 hours and 42 minutes to drive home. Percentage for Increase or Decrease!!
a photo contest awards five different prizes to its top five winners. how many ways can the prizes be awarded among the 2- entries received if no one gets more than one prize?
The number of different ways the prizes can be awarded among the 2 entries received is 2 if no one gets more than one prize.
The question states that there are five different prizes and the top five winners will get them, but no one can get more than one prize. Since there are only two entries received, the number of ways the prizes can be awarded is determined by the number of ways to select two winners from the two entries received
This is a combination problem where we have to select 2 items (winners) out of 2 items (entries) without regard to the order.
The number of ways to select k items out of n items without regard to the order is given by the binomial coefficient (n choose k), which is calculated as:
nCk = n! / (k!(n-k)!)
where n is the total number of items, k is the number of items selected and ! denotes factorial.
So in this problem, we have to calculate the number of ways to select 2 winners out of 2 entries, the binomial coefficient is:
2C2 = 2! / (2!(2-2)!) = 2*1/1 = 2
Therefore, the number of different ways the prizes can be awarded among the 2 entries received is 2 if no one gets more than one prize.
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