The scientist should use 100 ounces of water and 20 ounces of the 40% salt solution to make 200 ounces of a mixture that is 5% salt.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
The concepts of counting are permutation and combination, and they are used in a variety of contexts. A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial. The order in which the names of the three countries are written matters, whether they are written as "USA, Brazil, Australia" or "Australia, USA, Brazil" or "Brazil, Australia, USA." When combined, the names of three nations form a single unit, regardless of their chronological order
If it's 5 percent salt, 5 percent = 0.05 and 0.05*200=10 (which is 5% of 200), therefore showing us that we need 10 ounces of salt. From a 40% solution (0.4), we need to figure out how many times 0.4 goes into 10, which is 10/0.4=25, showing us that we need 25 ounces of the salt solution. 200-25=175 ounces left for water
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The price of a shampoo, cut, and style at the hairstyling salon where you work is $18.00. You generally get a 20% tip from each customer, and the salon owner pays you 1/4 of each job's cost. On a typical day, you give shampoos, cuts, and styles to 8 customers. About how much can you expect to earn on such a day?
$4.5 per service x 8 = $36.00
$18.00 x 8 = $144 x 20% = $29.00
$65.00
Answer:
You can expect $65.00 to earn on such a day.
Step-by-step explanation:
The price of shampoo, cut and style = $18.00
you generally get a tip from each customer = 20% of $18.00
0.20 × 18.00 = $3.60
Salon owner pays 1/4 of each job's cost = [tex]\frac{1}{4}[/tex] of $18.00
[tex]\frac{1}{4}[/tex] × 18.00 = $4.50
Total earning from each customer = 3.60 + 4.50 = $8.10
On a typical day, you serve 8 customers,
so the earning of each day = 8.10 × 8 = $64.80 ≈ $65.00
You can expect $65.00 to earn on such a day.
Alex earns an allowance of $6 per week. He also received $35 as a birthday gift from his grandmother. How many weeks (w) will it take for Alex to save $110?
Marietta was given a raise of $0.75 per hour, which gave her a new wage of $12.25 per hour. Write and solve an equation to determine Marietta’s hourly wage before her raise. Show that your answer is reasonable.
The amount of interest earned by $6000 invested by a certain rate is $220 less than $13000 would earn at a 1% lower rate. At what rate is,the $6000 invested?
The equation y = 6.3x + 67.4 is the equation of a linear model in a scatter plot comparing the ages of boys between 2 and 10 years old open (x) and their average heights in centimeters open (y).
What is the average height of a 5-year-old boy?
98.9 cm
78.7 cm
67.4 cm
62.4 cm
The average height of a 5 year old baby can be obtained by substituting the x and y values into the regression equation ; Hence, the average height of the baby is 98.9 cm
Given the linear regression equation :
y = 6.3x + 67.4 x = age of baby = 5 ; y = height of babyThe average height of a 5 year old baby is thus :
y = 6.3(5) + 67.4
y = 31.5 + 67.4
y = 98.9
Hence, the average height a 5 year old baby will be 98.9cm
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"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?"
Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
We can call the starting point (0,0) in the coordinate system.
10 mi east - 10 miles to the right. then,5 mi north - 5 miles aboveSee the attached picture. The direct distance is labeled as x.
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:
[tex]10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18[/tex]
Rounding to nearest tenth, we have 11.2 miles
We have that the distance is mathematically given as
AB=11.2miles
From the question we are told
"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work.if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?"DistanceGenerally the equation for the Pythagoras Theorem is mathematically given as
AB^2=AC^2+BC^2
Therefore
AB^2=10^2+5^2
AB=11.2miles
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The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?
F = 16.1m
F =
F = 32.2m
F =
F = 32.2m
Explanation:
The equation that represents the force on an object due to gravity is
[tex]F=mg[/tex]
where
m is the mass of the object
g is the acceleration due to gravity
In this problem, the acceleration due to gravity is [tex]g=32.2 ft[/tex], so if we substitute this value into the previous equation, we obtain
[tex]F=m(32.2)=32.2 m[/tex]
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Constant of variation due to gravity = 32.2 feet per sec².
As we know that "The fore of gravity on an object varies with its mass".
So, According to statement,
[tex]F=mg\\\\\text{ here, m denotes object's mass and g denotes gravity }\\\\\text{ F denotes the force on an object due to gravity according to m}[/tex]
Substituting the value of g , we get,
[tex]F=32.2m[/tex]
Hence, Third option is correct.
During track practice, Carter walks for 200 m each time after he jogs for 800 m. If he jogged for 7,200 m during today's practice, how many meters did he walk?
7200 / 800 = 9
9*200 = 1800
he walked 1800 m
What is 83.45 rounded to the nearest tenth?
A student is trying to remember some formulas from geometry. in what follows, assume a is area, v is volume, and all other variables are lengths. determine which formulas are dimensionally consistent.
Daniela finds the sum of two addenda. The sum is odd. Which statement is true about the addenda
If 100 poster printing machines printed 10,000 art posters in 100 days, how many days will take one machine to print one poster?
One machine would take one day to print one poster, calculated by dividing the total posters by the number of machines and days.
If 100 poster printing machines printed 10,000 art posters in 100 days, we first need to find out how many posters a single machine can print in one day. This can be done by dividing the total number of posters by the number of machines and then by the number of days.
Step-by-step calculation:
Determine the total number of posters one machine can print in 100 days: 10,000 posters / 100 machines = 100 posters.
Next, determine the number of posters one machine can print in one day: 100 posters / 100 days = 1 poster.
Therefore, it would take one machine one day to print one poster.
Find the coordinates of point p which divides the line segment from A=(0,4)to B=(6,8)in a ratio of 1:2
Henry and Holly catch crawfish which they sell to a local Cajun restaurant. The restaurant pays them $3.80 a pound for live crawfish that are large enough. 5% of the crawfish die before they can deliver them to the restaurant and 7% of the live crawfish are too small.
the expression which represents how much money they make per pound of crawfish they catch is 3.3573x.
Given that, the restaurant pays them $3.80 a pound for live crawfish that is large enough 5% of the crawfish die before they can deliver to the restaurant 7% of the live crawfish are too small.
We need to write an expression for the given situation.
What is an algebraic expression?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Let "x" be the number of crawfish they catch.
Now, the expression is
Money earned=3.80× (1-5%)× (1-7%)× x
=3.80× (1-0.05)× (1-0.07)× x
=3.80× 0.95× 0.93× x
=3.3573x
Therefore, the expression which represents how much money they make per pound of crawfish they catch is 3.3573x.
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Your question is incomplete, probably the complete question/missing part is:
Henry and Holly catch crawfish which they sell to a local Cajun restaurant. The restaurant pays them $3.80 a pound for live crawfish that are large enough. 5% of the crawfish die before they can deliver to the restaurant and 7% of the live crawfish are too small.
Identify an expression which represents how much money they make per pound of crawfish they catch.
Let g(x) = 5x -2 and h(x)= x^2-16
1. (h"Composition"g) (-1)
This is the best I can do with explaining this. If anyone could please help and explain this to me, I would really appreciate it. The composition thing is just an open circle between the two..
Which number is equivalent to 35 %
The line contains the point (-7,0) and is parallel to the line defined by 4x=3y. What is the equation of the line
34/5 less than y is -51/10
To have a batting averages over .500,how many hits in 45 times at bat would Rail and Karen need?
how do you solve for
-40=-2(3n-4)
1/2 (3g -2) = g/2
PLEASE HELP
The solution to the given equation (1/2)(3g - 2) = g/2 is g = 1 using the distributive property.
The equation is given as follows:
(1/2)(3g - 2) = g/2
Apply the distributive property by multiplying (1/2) to both terms inside the parentheses:
(1/2)(3g - 2) = g/2
(3g/2) - (2/2) = g/2
(3g/2) - 1 = g/2
Multiply both sides of the equation by 2 to eliminate the denominators:
2[(3g/2) - 1] = 2(g/2)
3g - 2 = g
Simplify the equation by moving all terms with g to one side and the constant terms to the other side:
3g - g = 2
2g = 2
Divide both sides of the equation by 2 to solve for g:
(2g)/2 = 2/2
g = 1
Therefore, the solution to the equation (1/2)(3g - 2) = g/2 is g = 1.
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round 499,553 near thousand
Explain how to use grouping symbols to organize information appropriately.
Final answer:
Using grouping symbols helps organize and clarify information in mathematical expressions.
Explanation:
Grouping symbols are essential in organizing information effectively. By using grouping symbols like parentheses, brackets, or braces, you can prioritize operations, clarify relationships, and maintain accuracy in mathematical expressions. For example, in the expression 2 x (3 + 5), the grouping symbols clarify that the addition inside the parentheses should be done first before multiplying the result by 2.
How can you make 100?
1 2 3 4 5 6 7 8 9 = 100
Fill in the gaps with suitable operations (+,-,×,÷,) to make 100
I NEED TWO WAYS TO MAKE 100! HELP ME PLEASE! 15 POINTS!
Two ways to make the number 100 by inserting operations between the sequence 123456789 are 1+2+3-4+5+6+78+9=100 and 123-45-67+89=100.
Explanation:To create the number 100 by inserting mathematical operations (+, -, ×, ÷) between the numbers 1 to 9 sequenced as 123456789, we can approach the problem in several ways. Here are two solutions:
In the first solution, we primarily use addition, with a single subtraction to adjust the total to 100. The second solution uses both subtraction and addition, combining smaller numbers to form larger numbers that eventually add up to 100.
"if n balls are distributed randomly into k urns, what is the probability that the last urn contains j balls?"
The answer relies on whether the balls are different or not. If they are not, which is almost certainly what is intended.
If they are, the perceptive is a bit different. Your expression gives the likelihood that a particular set of j balls goes into the last urn and the other n−j balls into the other urns. But there are (nj) different possible sets of j balls, and each of them the same probability of being the last insides of the last urn, so the total probability of completing up with exactly j balls in the last urn is if the balls are different.
See attached file for the answer.
To calculate the probability that the last urn contains j balls when n balls are distributed randomly into k urns, consider the number of ways to distribute the balls among the k-1 urns and multiply it by the probability of the last urn containing j balls.
Explanation:To calculate the probability that the last urn contains j balls, we need to consider the number of ways to distribute the n balls among the k-1 urns (excluding the last urn) and multiply it by the probability of the last urn containing j balls.
Let's assume that the number of ways to distribute the n balls among the k-1 urns is denoted by C. The probability of the last urn containing j balls is then given by P(j) = C * (1/k).
For example, if there are 10 balls distributed randomly into 4 urns and we want to find the probability that the last urn contains 3 balls, we need to calculate the number of ways to distribute the 10 balls among the first three urns (C) and multiply it by the probability of the last urn containing 3 balls (1/4).
Angles θ and Φ are complementary, and θ = pi/12 Find the measure of Φ.
Answer:
sum of complement angles = a right angle = π/2
so
measure of Φ = π/2 - π/12
measure of Φ = 5π/12 + π/12
measure of Φ = 6π/12
6π/12 = π/2
answer
π/2
A 1-ounce serving of cream cheese contains 7.8
grams of saturated fat. How much saturated fat is in 12
ounces of cream cheese?
To find the total grams of saturated fat in 12 ounces of cream cheese, multiply the grams per ounce (7.8) by the total ounces (12), which equals 93.6 grams.
Explanation:To answer this question, we need to multiply the amount of saturated fat in one ounce of cream cheese by the total number of ounces you have. Since one ounce of cream cheese contains 7.8 grams of saturated fat, you would multiply 7.8 by 12 (the total number of ounces) to get the total amount of saturated fat.
7.8 grams of saturated fat per ounce × 12 ounces = 93.6 grams
So, 12 ounces of cream cheese contains 93.6 grams of saturated fat.
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Me Kirk drove 164 miles in the morning and 219 miles in the afternoon.esttimate the total number of smiles she drove?
4 times a number cubed decreased by 7
integral of cot^4/cot^2x