By weighted average, we need 75 liters of 24 % iodine solution and 25 liters of 40 % iodine solution to obtain 100 liters of 28 % iodine solution.
How to determine the volume associated with a given concentrationPhysically speaking, concentration is equal to the amount of solute divided by the volume of solution. We have two solutions with same solute and different concentration and can find the right proportion between the 24 % solution and the 40 % solution by concept of weighted average:
x · 24 + (1 - x) · 40 = 28
40 - 16 · x = 28
16 · x = 40 - 28
16 · x = 12
x = 3/4
By weighted average, we need 75 liters of 24 % iodine solution and 25 liters of 40 % iodine solution to obtain 100 liters of 28 % iodine solution.
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find x
give your answer to 3 significant fingers
Answer:
1.64
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6.6^2 + x^2 = 6.8^2
43.56+x^2=46.24
Subtract 43.56 from each side
x^2 = 46.24-43.56
x^2 =2.68
Take the square root of each side
sqrt(x^2) = sqrt(2.68)
x =1.637080554
To 3 significant digits
x = 1.64
Answer:
Step-by-step explanation:
x = 1.637 mm
Pythagorean theorem:We can use Pythagorean theorem, to find the unknown side for a right angled triangle.
The side opposite to 90 is the longest side and it is the hypotenuse.
Base² + altitude² = hypotenuse²
x² + 6.6² = 6.8²
x² + 43.56 = 46.24
x² = 46.24 - 43.56
x² = 2.68
x = √2.68
[tex]\sf \boxed{\bf x = 1.637 \ mm }[/tex]
Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (11x −10)° and (7x + 10)°, respectively. What is m∠A?
Group of answer choices
90°
85°
35°
5°
Answer:
m∠A = 90°
Step-by-step explanation:
In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!
m∠B = m∠C
11x - 10 = 7x + 10
4x - 10 = 10
4x = 20
x = 5
Now let's insert x back in the expressions for angles.
m∠B = (11x − 10)° = (11(5) − 10)° = 45°
m∠C = (7x + 10)° = (7(5) + 10)° = 45°
Sum of all angles in the triangle is 180°. Let's make an equation.
m∠A + m∠B + m∠C = 180°
m∠A + 45°+ 45° = 180°
m∠A = 90°
I neeed help please help
Answer:
The data is spread out from 1 to 10 pounds of trash
Step-by-step explanation:
Because you see the X's on all the numbers through 1-10, there is none on 0. The other answer options are incorrect
The chart below lists the original and sale prices of items at a clothing store.
Which statement best describes why the sale price is a function of the original price?
A. As the original price increases, the sale price also increases.
B.The sale price is always less than the original price.
C.For every original price, there is exactly one sale price.
D. The sales price is never less than zero.
Answer:
I think Option C is the correct answer
I think it will help you.
The equation of a line is given below. =−4x3y−3 Find the slope and the y-intercept. Then use them to graph the line.
The slope of the line is the negative 4/3 and y-intercept will be the negative 1.
The correct equation is given below.
−4x − 3y = 3
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line will be
−4x − 3y = 3
Then the equation of a line can be written as
4x + 3y = −3
3y = −4x − 3
y = −(4/3)x − 1
Then the slope of the line is the negative 4/3 and y-intercept will be the negative 1.
The graph is given below.
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If AD = 24, DB = 27 and EB = 18, find CE.
The length of side of triangle portion CE is 16.
What are similar triangles?When two triangles forms on the same base, has its other two sides in proportional with each other, the triangles are known as the similar triangles.
Given, the dimensions AD = 24, DB = 27 and EB = 18.
In the given diagram of two similar triangles, ABC and DBE
DB/AD = EB/CE
Substitute the values, we get
27/24 = 18/CE
CE= 16
Thus, the value of CE = 16
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Find the HCF of ax3y and bx4y3
Step-by-step explanation:
First expression ...
[tex] = {ax}^{3} y[/tex]
[tex] = a \times x \times x \times x \times y[/tex]
Second expression.....
[tex] = b {x}^{4} {y}^{3} [/tex]
[tex] = b \times x \times x \times x \times x \times y \times y \times y[/tex]
HCF = common factor...
[tex] = x \times x \times x \times y[/tex]
[tex] = {x}^{3} y[/tex]
[tex]hence \: {x}^{3} y \: is \: the \: answer....[/tex]
Answer: HCF =
x³y
Step-by-step explanation:
HCF of ax³y and bx⁴y³
ax³y = a . x . x . x . y
bx⁴y³ = b . x . x . x . x . y . y . y
Common Factors = x . x . x . y
HCF = x . x . x . y
HCF = x³y Answer
therefore, the HCF of ax³y and bx⁴y³ is x³y.
hope that helps...
note: the dot (.) represents multiplication.
If there are 300 houseflies in the study, how many of them will live longer than 21 days?
The 48 flies of them will live longer than 21 days if there are 300 houseflies in the study.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have mean u = 18 days
SD = 3 days
X = 21 days
From the formula:
Z = (X - u)/SD
Z = (21 - 18)/3 = 1
P(x<21) = 0.84134
P(x>21) = 1 - P(x<21) = 0.15866
Number of flies = 300×0.15866 = 47.59 ≈ 48 flies
Thus, the 48 flies of them will live longer than 21 days if there are 300 houseflies in the study.
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The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7
Answer:
THE ANSWER IS C
Step-by-step explanation:
just add it it and find it 0.007
Answer:
THe answer Is C
Step-by-step explanation:
because 0.007 is the same as 365 its something were learning in class
Which number has the greatest value?
O 0.095
1.24
O 1.215
245
The number that has the greatest value is 245
How to determine the greatest number?The numbers are given as:
0.095, 1.24, 1.215 and 245
Rearrange the numbers in ascending order
0.095, 1.215, 1.24 and 245
The last number on the list is the greatest
Hence, the number that has the greatest value is 245
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If log 3 = x and log 5 = y, express log 45 in terms of x and y.
A. 2xy
B. 2y+x
C. 2x-y
D. 2x+y
Answer:
I believe that the answer is A
x = 3 - 2y
y = -1/2x+3/2
Answer:
let numbers be=x -3=3-x × 4(3-x) x=8 hence 12 -4x=8 = 12-8
Please answer this question
Answer:
Step-by-step explanation:
There are no solutions to the system of inequalities shown belo
y<-2x+7
y > 3x + 1
A. True
B. False
Answer:
False
Step-by-step explanation:
Here's a simple little trick to tell wether a system of inequalities has any solutions or not, just by looking at it:
If the slopes are the same but the y-intercepts are different, the system has no solutions. If the slopes are different, the system has only one solution. If the slopes are the same and the y-intercepts are the same, then the system has infinitely many solutions.By following this logic, since the system given has different slopes, it only has one solution. Therefore your answer is false.
Hope this helps you.
write 168 as the product of prime numbers
Answer:
2 × 2 × 2 × 3 × 7
Step-by-step explanation:
A company that produces and sells ceramic tiles for $41.78 per square foot has fixed weekly expenses of $7,210 and variable expenses of $14.79 for each square foot of tile. Determine the company's ROI if they are able to sell 1,265 square feet of tile per week. Round the final answer to the nearest hundredth. Show your work.
Answer:
103.9
Step-by-step explanation:
yes
estimate the percentage 66 2/3% of 2,600
The estimate of the percentage expression 66 2/3% of 2,600 is 1733.33
How to estimate the percentage expression?The expression is given as:
66 2/3% of 2,600
Rewrite as:
66 2/3% * 2,600
Express the fraction as an improper fraction
200/3% * 2,600
Remove the percentage sign
200/300 * 2,600
Evaluate the product
1733.33
Hence, the estimate of the percentage expression 66 2/3% of 2,600 is 1733.33
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This season, the probability that the Yankees will win a game is 0.52 and the
probability that the Yankees will score 5 or more runs in a game is 0.53. The
probability that the Yankees lose and score fewer than 5 runs is 0.39. What is the
probability that the Yankees will lose when they score 5 or more runs?
Answer:
The probability of scoring fewer than 5 runs when they win is P = 0.19
How to find the probability?
We know that:
The probability of winning a game is p = 0.53
The probability of scoring 5 or more runs is q = 0.59
The probability of winning and scoring 5 or more runs is k = 0.43
Notice that the joint probability is different than the product of the individual probabilities, this means that the events are not independent.
So, we know that the probability of winning is 0.53
Now, given that they win, the probability of scoring 5 or more times will be q' such that:
0.53*q' = 0.43
q' = 0.811
This means that when they win, the probability of scoring more than 5 times is 0.81
Then the probability of scoring less than 5 times when they win is 1 minus the above probability:
P = 1 - 0.81 = 0.19
The probability of scoring fewer than 5 runs when they win is P = 0.19
What is the product of the polynomials below? (3x^3+9x)(x^2-2)
Answer:
= 3x⁵ + 3x³ - 18x
Step-by-step explanation:
(3x³ + 9x)(x²-2)
= 3x³ * x² + 3x³ * -2 + 9x * x² + 9x * -2
= 3x⁵ - 6x³ + 9x³ - 18x
= 3x⁵ + 3x³ - 18x
Find the perimeter of each of the regular polygons described below.
a. A square with sides measuring 6 centimeters
b. An equilateral triangle with sides measuring 7 inches
c. A regular heptagon with sides measuring 4 feet
d. A regular nonagon with sides measuring 9 inches.
The financial analysis component of a business plan is to describe ______.
a. how your business will be organized and what type of management or department structure
your business will have
b. the ?big picture? behind your business, what your business has to offer the consumer, and
why your business will be successful
c. the size of the market, how your business will fit into the market, and how your business will
stand out from other businesses in the market
d.
where the funds to start and operate your business will come from, when you expect to see
profit, and how much profit you expect to see
Please select the best answer from the choices provided
A
B
C
D
Answer:
D where the funds to start and operate your business.........
The 7 in which number represents a value of 0.7
The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7The 7 in which number represents a value of 0.7
*903038393JKLSi933003
9=28
when 834 nine=365 and 7
Answer:
THE ANSWER IS C
Step-by-step explanation:
just add it it and find it 0.007
I need a little help here
The price of a gallon of milk increased by 9 cents. This represented a price increase of 2%. What was the original price of the milk?
Answer:
$ 4.50
Step-by-step explanation:
2% of the price = 9 cents
.02 x = 9
x = 9 / .02 = 450 cents or $4.50
What is 5 over 8 expressed as a percent?
Answer: 62.5%
Step-by-step explanation:
5/8 = 0.625
0.625 x 100 = 62.5
Rectangle ABCD has has vertices A(1,1), B (1,5), C(5,5) and D (5,1). Graph the rectangle and its translation (2,1). Then write the new vertices for both.
The rectangle and the translated rectangle have been plot and the image is attached.
What is a Rectangle ?A rectangle is a polygon with four sides , opposites sides of the polygon are equal and parallel.
To draw a Rectangle having vertices A(1,1), B (1,5), C(5,5) and D (5,1).
and a rectangle with translation (2,1)
After translation the new points are
A(3,2) ,B (3,6) , C(7,6) , D(7,2)
The rectangle and the translated rectangle have been plot and the image is attached.
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Please help me with this im very confused
Answer:
Step-by-step explanation:
Angle sum property of triangle1) Let the unknown angle = x
x + 43 + 90 = 180
x + 133 = 180
x = 180 -133
[tex]\sf \boxed{\bf x = 47^\circ}[/tex]
2) x + 88 + 30 = 180
x + 118 =180
x = 180 - 118
[tex]\sf \boxed{\bf x = 62^\circ}[/tex]
3) x + 98 + 40 = 180
x + 138 = 180
x = 180 - 138
[tex]\sf \boxed{\bf x = 42^\circ}[/tex]
Paula ran
3
1
4
kilometers. Omar ran
4,200
meters.
Part A
Who ran farther and by how much?
A.
Omar ran 950 meters farther than Paula.
B.
Paula ran 950 meters farther than Omar.
C.
Omar ran 3,875 meters farther than Paula.
D.
Paula ran 3,875 meters farther than Omar.
Part B
What is the total number of centimeters Omar and Paula ran?
A.
45,250 centimeters
B.
74,500 centimeters
C.
452,500 centimeters
D.
745,000 centimeters
HELP ME
Omar ran 950 meters farther than Paula. Option A is correct.
The total number of centimeters they both ran is 745000 centimeters. Option D is correct.
How do we determine the distance between two objects?The distance between two objects can be determined by finding their difference.
From the given information:
Paula ran 3 1/4 kilometersOmar ran 4200 metersThe way to solve this is by converting all the distances to meters.
Paula = 3250 metersOmar = 4200 metersDifference in their distance = (4200 - 3250) metersDifference in their distance = 950 meters.The total number of centimeters they both ran is:
= (420000+325000) centimeters
= 745,000 centimeters
Therefore, we can conclude that Omar ran 950 meters farther than Paula. The total number of centimeters they both ran is 745000 centimeters.
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Answer:
Omar ran 950 meters farther than Paula. Option A is correct.
The total number of centimeters they both ran is 745000 centimeters. Option D is correct.
How do we determine the distance between two objects?
The distance between two objects can be determined by finding their difference.
From the given information:
Paula ran 3 1/4 kilometers
Omar ran 4200 meters
The way to solve this is by converting all the distances to meters.
Paula = 3250 meters
Omar = 4200 meters
Difference in their distance = (4200 - 3250) meters
Difference in their distance = 950 meters.
The total number of centimeters they both ran is:
= (420000+325000) centimeters
= 745,000 centimeters
Therefore, we can conclude that Omar ran 950 meters farther than Paula. The total number of centimeters they both ran is 745000 centimeters.
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Step-by-step explanation:
Which of the following is the correct factorization of the polynomial below?
p³ -343q³
A. (p-49q) (p² +7pq+49q²)
B. (p-7q) (p² +7pq+49q²)
C. (p² +7q) (p³ +49pq+7q²)
D. The polynomial is irreducible.
Answer:
B
Step-by-step explanation:
a difference of cubes factors in general as
a³ - b³ = (a - b)(a² + ab + b²)
given
p³ - 343q³
= p³ - (7q)³ ← a difference of cubes , then
= (p - 7q)(p² + 7pq + 49q²) ← in factored form
You have a glass paperweight that is shaped like a cone. The diameter of the paperweight is 7 centimeters. The slant height is 4 centimeters. Find the surface area of the cone. Use 3.14 to approximate pi.
Step-by-step explanation:
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