Answers
Answer:
You need to add 150 mL of 65% alcohol solution.
Step-by-step explanation:
You have 300 mL of 20% solution.
300 mL of 20% alcohol solution has 20% * 300 mL of alcohol.
You have 65% solution.
Let the volume of 65% solution you add be x.
In 65% solution, 65% of the volume is alcohol, so the amount of alcohol in x amount of 65% solution is 65% * x.
You want 35% solution.
The total amount of 35% solution you will make is 300 mL + x. The amount of alcohol in that amount of solution is 35% * (x + 300).
Equation of alcohol content:
20% * 300 + 65% * x = 35% * (x + 300)
60 + 0.65x = 0.35x + 105
0.3x = 45
x = 150
Answer: You need to add 150 mL of 65% alcohol solution.
Related Questions
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit? A: 5n - 300 = 1,500 B: 5n + 300 = 1,500 C: 5n - 200 + 100n = 1,500 D: 5n - 100 - 200n = 1,500
Answers
Answer:
The answer should be B: 5n+300=1,500.
Step-by-step explanation:
The number of people to attend is going to vary and 300 is a set variable, so it won't change of be affected. Since the team doesn't know how many people will be able to attend in order to reach their goal, n is going to take the place for the amount of people.
If you were to solve this, the answer would be:
5n+300=1,500
5n=1,500-300
5n=1,200
n=240
So 240 people can attend the dance.
Answer:5n-300=1,500
Step-by-step explanation:
A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 2. The probability of tossing a head and then rolling a number greater than 2 is nothing. (Round to three decimal places as needed.)
Answers
Answer:
7 out of 8
Step-by-step explanation:
heads gets tossed and there's only 6 numbers to choose from on the die
Answer: =0.375
Step-by-step explanation:
Actually we have to find the probability that both events will happened.
1st event the coin will be turned by a head P(head).
2nd event the number is greater than 2 , i.e. can be 3,4,5,6,7 or 8 P(a>2)
Both events do not depend from each other. So the resulted probability
can be calculated multuplying probabilities P(head) and P(a>2) on each other. P(head, a>2)= P(head)*P(a>2)
P(head) =1/2=0.5 so the coin has 2 sides only one of them is head.
P(a>2)=6/8 so rolling the eight -sided doe 8 outcomes are possible and six of them 3,4,5,6,7 or 8 can give us the number that is bigger than 2.
P(a>2)=6/8=3/4=0.75
P(head, a>2)= P(head)*P(a>2)=0.5*0.75=0.375 ( rounding is not necessary, so we get exactle 3 digits after the point)
Sophie saw a dress she liked on sale for $15 off. The original price of the dress was $96. What is the sale price of the dress?
Answers
If there is $15 off on the dress and the original price of the dress was $96 the sale price of the dress will be $81.
What is the application of subtraction?In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
Given that Sophie discovered a dress she liked that was $15 off. The dress cost $96.
The sale price of the dress is obtained by subtracting the original price from the price discount on the dress,
= $96 - $15
=$ $81
Thus, if there is $15 off on the dress and the original price of the dress was $96 the sale price of the dress will be $81.
Learn more about the application of subtraction here:
brainly.com/question/15345330
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Which of the following best describes so ?
A.
Center
B.
Radius
C.
Diameter
D.
Chord
Answers
Step-by-step explanation:
D.
chord
hope you like this
stay at home stay safe
Answer: d
Step-by-step explanation:
The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. The manufacturer claims each tablet has at least 200 milligrams of the active ingredient. The consumer Watchdog Bureau assumes the manufacturer claim is correct, but occasionally tests samples of the tablets to ensure they contain enough of the ingredient. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The sample mean content of the active ingredient is 205.7 milligrams, while the sample standard deviation is 21 milligrams. What is the p-value for this test?
Answers
Answer:
The p-value is [tex]p-value = 0.013167[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu[/tex] = 200 milligrams
The sample size is [tex]n = 70[/tex]
The sample mean is [tex]\= x = 205.7[/tex]
The sample standard deviation is [tex]\sigma = 21 \ milligram[/tex]
Generally the Null hypothesis is mathematically represented as
[tex]H_o : \mu = 200[/tex]
The Alternative hypothesis is
[tex]H_a : \mu < 200[/tex]
The test statistics is mathematically represented as
[tex]t_s = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
substituting values
[tex]t_s = \frac{ 205.7 - 200 }{\frac{21}{\sqrt{70} } }[/tex]
[tex]t_s = 2.270[/tex]
Now the p-value is mathematically represented as
[tex]p-value = P(Z \le t_s )[/tex]
substituting values
[tex]p-value = P(Z \le 2.270 )[/tex]
Using the Excel function[=NORMDIST(2.270)] to calculate the p-value we obtain that
[tex]p-value = 0.013167[/tex]
Answer:
A) 0.012
From CollegeBoard
Find two numbers in a given ratio such that the difference of their squares is to the sum of the numbers in a given ratio.Ratios, respectively, are 3 to 1 and 6 to 1.
Answers
According to the given situation, the computation of two number in a given ratio is shown below:-
We assume the numbers is x and y
Given that
[tex]\frac{x}{y} = \frac{3}{1}[/tex]
x = 3y
and
[tex]\frac{x^2-y^2}{x + y} = \frac{6}{1} \\\\\frac{(x + y) (x - y)}{(x + y)} = 6[/tex]
With the help of above formula we will put the value and be able to find the values of x and y
x - y = 6
3y - y = 6
2y = 6
y = 3
x = 3y = 9
x = 9, y = 3
Therefore the correct answer is x = 9 where as y = 3
M angle D=? What is the degree of the angle?
Answers
Answer:
80°Step-by-step explanation:
In ACB and ECD
AC =~ CE [ Given ]
BC =~ CD [ Given ]
<ACD =~ <ECD [ Vertical angles ]
Hence, ∆ ACB =~ ECD by SAS congruency of triangles.
Then, <B = <D
In ∆ABC , sum of all three angles must be 180°
<A + <B + <C = 180°
plug the values
[tex] 30 + < d \: + 70 = 180[/tex]
Add the numbers
[tex]100 + < d = 180[/tex]
Move constant to R.H.S and change it's sign
[tex] < d = 180 - 110[/tex]
Subtract the numbers
[tex] < d = 80[/tex] °
Hope this helps..
Best regards!!
How does a reflection across the y-axis change the coordinates of a shape?
Answers
Answer:
When you reflect a shape avross the y-axis, the y-coordinates stay the same, but the x-coordinates turn into its opposites.
Step-by-step explanation:
EXAMPLES:
(3,6)---(reflected over y-axis)--> (-3,6)
(9,2)---(reflected over y-axis)--> (-9,2)
Hope this helped! Brainliest would be really appreciated :)
4.0.3x= 2.1 Equals what
Answers
Answer:
x= 1.75
Step-by-step explanation:
Answer:
1.75 = x?
Step-by-step explanation:
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
Answers
Answer
240cm^2 (i think)
Step-by-step explanation:
find the area of each side then add
McKenzie has a bag contains six red marbles four blue marbles and 14 yellow marbles if she chooses one marble from the bag what is the probability that the marble is not yellow
Answers
Answer:
5/12
Step-by-step explanation:
Total number of marbles in the bag
6red+ 4blue + 14 yellow = 24 marbles
Not yellow marbles = 10 marbles
P ( not yellow ) = number of not yellow marbles / total marbles
=10/24
= 5/12
Answer:
5/12
Step-by-step explanation:
6 red marbles
4 blue marbles
14 yellow marbles
total marbles = 6 + 4 + 14 = 24 marbles
24 - 14 = 10 marbles
10 marbles are not yellow.
P(not yellow) = 10/24 = 5/12
Amy have 398.5 L of apple juice . Avery have 40098 ml of apple juice how many do they have all together
Answers
Answer: 438.5L = 438000ml
Step-by-step explanation:
A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting or . (b) Compute the probability of randomly selecting or or . (c) Compute the probability of randomly selecting or .
Answers
Answer: See answer in the attached file
Step-by-step explanation:
What is x? The angle x
Answers
Answer:
x=60
Step-by-step explanation:
This is an equilateral triangle which means all the sides are equal.
If all the sides are equal then all the angles are equal
180/3 = 60
x=60
Answer:
x= 60°
Step-by-step explanation:
We can tell that both of these triangles are equilateral. We can tell because all of their sides have little tick marks, meaning that they are all equal, meaning that the triangle is equilateral. In an equilateral triangle, we know that through definitions all of the angles are equal to 60°. Since y is an angle inside of an equilateral triangle, it is equal to 60°
The equation of the graphed line is 2x – y = –6. A coordinate plane with a line passing through (negative 3, 0) and (0, 6). What is the x-intercept of the graph? –3 –2 2 6
Answers
Answer:
-3
Step-by-step explanation:
-3 is the answer
Answer:
-3
Step-by-step explanation:
E={a,c,f}
A={a,c,j}
find the intersection of E and A.
find the union of E and A
write your answer using set notation (in roster form)
Answers
Answer:
i. E ∩ A = { a , c }ii. E ∪ A = { a , c , f , j }Step-by-step explanation:
Given
E = { a , c , f }
A = { a , c , j }
i) Let's find the intersection of E and A
E ∩ A = { a , c , f } ∩ { a , c , j }
In the case of intersection , we have to list the elements which are common in both sets:
E ∩ A = { a , c }
ii) Let's find the union of E and A
E ∪ A = ( a , c , f } { a , c , j }
In the case of Union, we have to list all the elements which are present in both sets.
E ∪ A = { a , c , f , j }
Hope this helps..
Best regards!!
Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29
Answers
Answer:
[tex]\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }[/tex]
Step-by-step explanation:
Hello,
I assume that we are working in [tex]\mathbb{C}[/tex], otherwise there is only one zero which is 1. Please consider the following.
First of all, we can notice that 1 is a trivial solution as
[tex]p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0[/tex]
It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.
[tex]p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b[/tex]
Let's identify like terms as below.
a-1 = -5 <=> a = -5 + 1 = -4
b-a = 33
-b = -29 <=> b = 29
So
[tex]\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }[/tex]
Now, we need to find the zeroes of the second factor, meaning finding x so that:
[tex]x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4} \\ \\ <=> x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ <=>(x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\<=>x-2=\pm 5i \ \text{ add 2 } \\ \\ <=> x = 2+5i \ \text{ or } \ x = 2-5i[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
A coin is thrown at random into the rectangle below.
A rectangle is about 90 percent white and 10 percent green.
What is the likelihood that the coin will land in the green region?
It is certain.
It is impossible.
It is likely.
It is unlikely.
Answers
Answer:
It is unlikely.
Step-by-step explanation:
Certain = 100%
Impossible = 0%
Likely = more than 50%
Unlikely = less than 50%
It is less than 50%, so it is unlikely.
Answer:
(A) it is likely
Step-by-step explanation:
i took the test on edge
A certain forest covers an area of 2100 km². Suppose that each year this area decreases by 3.5%. What will the area be after 5 years
Use the calculator provided and round your answer to the nearest square kilometer.
Answers
Answer:
[tex]\large\boxed{\sf \ \ \ 1757 \ km^2 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
I would recommend that you checked the answers I have already provided as this is the same method for all these questions, and maybe try to solve this one before you check the solution.
At the beginning the area is 2100
After one year the area will be
2100*(1-3.5%)=2100*0.965
After n years the area will be
[tex]2100\cdot0.965^n[/tex]
So after 5 years the area will be
[tex]2100\cdot0.965^5=1757.34027...[/tex]
So rounded to the nearest square kilometer is 1757
Hope this helps
Answer: 1757 km²
Step-by-step explanation:
Because 3.5% = 0.035, first do 1-.035 to get .965. Then do 2100*.965*.965*.965*.965*.965 to get 1757.34027.
Find the range of the data set represented by this box plot. 80 76 40 56
Answers
Answer:
56
Step-by-step explanation:
The range is the right line value minus the left line value
140 - 84
56
What is the simplified value of $\frac{10! + 11! + 12!}{10! + 11!}$?
Answers
Answer:
12
Step-by-step explanation:
We can factor out 10! on the numerator and the denominator,.
This gives: 10! (1 + 11 + (11 * 12)) / 10! (1 + 11)
This is because 10! * 11 is equal to 11! meaning we can factor out 10!.
10! * 11 * 12 also equals 12! which is why we can factor 10! out of that too.
Seeing as 10! is at the top and bottom we can cancel those out.
This leaves us with: 144 / 12 which is equal to 12.
Solve the inequality. –10d ≥ –70
Answers
Answer:
d≤7
Step-by-step explanation:
-10d≥-70
d≤7
Given the graph of the circle find the equation
Answers
Answer:
(x + 4)² + (y + 1)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = )- 4, - 1) and r = 2 , thus
(x - (- 4))² + (y - (- 1))² = 2² , that is
(x + 4)² + (y + 1)² = 4 ← equation of circle
The equation of the circle will be (x + 4)² + (y + 1)² = 4.
What is a circle?The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
From the diagram, the center of the circle is at (-4, -1) and the radius of the circle is 2 units.
Then the equation of the circle will be
(x + 4)² + (y + 1)² = 2²
Simplify the equation, according to the problem.
(x + 4)² + (y + 1)² = 4
The equation of the circle will be (x + 4)² + (y + 1)² = 4.
More about the circle link is given below.
https://brainly.com/question/11833983
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a rope is wound 50 times around a cylinder of radius 25cm. How long is the rope
Answers
Circumference of the cylinder :
C = 2 x pi x r
C = 2 x 3.14 x 25 = 157 cm
Multiply the circumference by number of wraps:
157 x 50 = 7,850 cm long ( 78.5 meters)
Which of the following rational functions is graphed below?
Answers
Answer:
Option (D)
Step-by-step explanation:
The given graph represents a rational function having,
1). Vertical asymptote → x = 2
2). Horizontal asymptote → y = 0
Parent function representing the rational function will be in the form of,
F(x) = [tex]\frac{1}{x^{2} }[/tex]
Since, vertical asymptote of the function is x = 2, denominator of the function will be in the form of (x - 2)².
Since, horizontal asymptote of the function is y = 0, highest exponent term in the numerator will be 0.
Therefore, numerator of the fraction will be x⁰.
The rational function given in the graph will be,
F(x) = [tex]\frac{x^{0}}{(x-2)^2}[/tex]
F(x) = [tex]\frac{1}{(x-2)^2}[/tex]
Option (D) will be the answer.
Find the area of the shaded triangle, if the side of each square is 1 unit long.
Answers
Answer:
10 units²
Step-by-step explanation:
The shape is a triangle.
The area can be found by multiplying the base (in units) with height (in units) divided by 2.
base = 4 units
height = 5 units
[tex]\frac{4 \times 5}{2}[/tex]
[tex]\frac{20}{2} =10[/tex]
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation? y = negative four-thirds x + 31. y = 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7. y = negative four-thirds x + 31. y = negative 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.
Answers
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x represent the smaller number and y represent the larger number.
Part 1Four times a number added to 3 times a larger number is 31.
It is translated as:
4x + 3y = 31Then, solving for y:
4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3⇒ y= - 4/3x + 31/3
Correct answer choice for this equation:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
Part 2Seven subtracted from the larger number is equal to twice the smaller number.
It is translated as:
y-7= 2xThen, solving for y:
y-7= 2x ⇒ y= 2x+ 7Correct answer choice for this equation:
y = 2 x + 7
Answer:
It's A.
Step-by-step explanation:
I just got it correct on my unit test review.
if 5x - 17 = -x +7, then x =
Answers
Answer:
x=4
Step-by-step explanation:
5x - 17 = -x +7
Add x to each side
5x+x - 17 = -x+x +7
6x -17 = 7
Add 17 to each side
6x-17+17 = 7+17
6x =24
Divide each side by 6
6x/6 = 24/6
x = 4
Answer:
4
Step-by-step explanation:
5x - 17 = -x + 7
Add x on both sides.
5x - 17 + x = -x + 7 + x
6x - 17 = 7
Add 17 on both sides.
6x - 17 + 17 = 7 + 17
6x = 24
Divide both sides by 6.
(6x)/6 = 24/6
x = 4
I have attached the file
Answers
Answer:
sorry i am not able to understood
Step-by-step explanation:
Which of the following ordered pairs satisfied the inequality 5x-2y<8
A) (-1,1)
B) (-3,4)
C) (4,0)
D) (-2,3)
Answers
Answer: A, B, and D
Step-by-step explanation:
Input the coordinates into the inequality to see which makes a true statement:
5x - 2y < 8
A) x = -1, y = 1 5(-1) - 2(1) < 8
-5 - 2 < 8
-7 < 8 TRUE!
B) x = -3, y = 4 5(-3) - 2(4) < 8
-15 - 8 < 8
-23 < 8 TRUE!
C) x = 4, y = 0 5(4) - 2(0) < 8
20 - 0 < 8
20 < 8 False
D) x = -2, y = 3 5(-2) - 2(3) < 8
-10 - 6 < 8
-16 < 8 TRUE!
