In order to create the appropriate 50% alcohol solution, 480 mL of the 70% mixture must be added.
To solve this problem, we can use the formula for calculating the concentration of a mixture:
Concentration = (Amount of solute / Total amount of mixture) x 100%
Let's start by finding the amount of alcohol in the 240 mL of 10% mixture:
Amount of alcohol = \(10/100 * 240 mL = 24 mL\)
Let's assume we need x mL of the 70% mixture.
The total amount of alcohol in the final mixture should be 50% of the total volume. We can set up an equation using this information:
24 mL + Amount of alcohol in the 70% mixture
= 50% of the total volume
We know that the total volume will be 240 mL + x mL, so we can substitute that in:
24 mL + Amount of alcohol in the 70% mixture
= 0.5 x (240 mL + x mL)
Now we can solve for x:
24 mL + Amount of alcohol in the 70% mixture = 120 mL + 0.5x mL
Amount of alcohol in the 70% mixture = 96 mL + 0.5x mL
We know that the concentration of the 70% mixture is 70%, so we can set up another equation:
Concentration of 70% mixture = (Amount of alcohol / Total volume) x 100%
70% = (Amount of alcohol / x mL) x 100%
Amount of alcohol = 0.7x mL
Now we can substitute this into the previous equation:
\(0.7x\ mL = 96 \ mL + 0.5x \ mL\\0.2x \ mL = 96\ mL\\ = 480 \ mL\)
Therefore, we need to add 480 mL of the 70% mixture to obtain the desired 50% alcohol solution.
Learn more about mixture and concentration here:
https://brainly.com/question/2278107
#SPJ1
After she pays her bills each month, Lana has $300 left. Based on the graph below, which is the best estimate of how much she will spend on movies and eating out? $180 $75 $160 $200 $90 Discretionary Spending 16- to 22-Year-Olds Shopping for Pleasure 34% Hobbies 12% Eating Out 30% Movies 24%.
The best estimate of how much she will spend on movies and eating out is given as follows:
$162.
How to obtain the best estimate?The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.
The percentages associated with movies and eating out are given as follows:
Eating out: 30%.Movies: 24%.The amount that she has left is given as follows:
$300.
Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:
(0.3 + 0.24) x 300 = 0.54 x 300 = $162.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Help! Amy is missing some key components to her assignment. Her teacher said that if she can find a partner to work with, she and her partner can share the grade. she brought the given diagram so you can help. Fill in the blanks with the proper answers
In similar triangles the ratio between corresponding sides is the same in each pair of correspondig sides.
Then, if triangles ABC, ACD and BCD are similars:
Blank 1: Similarity by the Hypotenuse-Leg (HL) criterionIf the ratio between correpondig legs and hypotenuses is equal you can use the pytagorean theorem to prove similarity.
Ratio of corresponding sides in triangles ABC and BCD:
Correspondig sides:
Hypotenuses: c (hypotenuse of triangle ABC) and a (hypotenuse of triangle BCD)
Leg: a (In trinagle ABC) and c-x (in trianlge BCD)
\(\frac{a}{c-x}=\frac{c}{a}\)Blank 2: cSolve a squared:
\(\begin{gathered} a\cdot\frac{a}{c-x}=c \\ \\ a^2=c(c-x) \\ \\ a^2=c^2-cx \\ \end{gathered}\)Blank 3: c(c-x)Ratio of corresponding sides in triangles ABC and ACD:
Correspondig sides:
leg: b (in ABC) and x(in ACD)
Hypotenuse: c (in ABC) and b (in ACD)
\(\frac{b}{x}=\frac{c}{b}\)Blank 4: cSolve b squared:
\(\begin{gathered} b\cdot\frac{b}{x}=c \\ \\ b^2=cx \end{gathered}\)Blank 5: cxPythagorean theorem,In a right triangle the sum of legs squared is equal to the hypotenuse squared
\(\begin{gathered} a^2+b^2 \\ =c\mleft(c-x\mright)+cx \\ =c^2-cx+cx \\ =c^2 \end{gathered}\)Blank 6: c(c-x)Blank 7: cx\(a^2+b^2=c^2\)Blank 8: c²3. Five kissing cousins met at a family reunion.
Each cousin kissed each of the other cousins
just once. How many kisses were given in all?
Answer: 20 kisses
Step-by-step explanation:
given data:
number of cousins at the family reunion = 5
each cousing kissing each other just once.
if one cousin kisses everybody round that would be
= 1 * 4
= 4 kisses.
4 kisses from each cousins * number of cousins at the family reunion.
= 4 * 5
= 20 kisses.
in total there were 20 kisses at family reunion
Using the principle of combination, the number of kisses given in all by the five cousins is 10
Number of cousins, n = 5Using the relation :
[n(n-1)] ÷ 2Substituting the values into the relation :
[n(n-1)] ÷ 2
[5(5-1)] ÷ 2
(5 × 4) ÷ 2
20 ÷ 2
= 10 kisses
Hence, the Number of kisses exchanged in all is 10.
Learn more : https://brainly.com/question/14375199
5x-3(-5y+6x) +4y i need help please
To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.
Using \(\displaystyle\sf \) tags for formatting, the expression becomes:
\(\displaystyle\sf 5x-3(-5y+6x)+4y\)
First, we simplify the expression within the parentheses:
\(\displaystyle\sf 5x-3(-5y+6x)+4y\)
\(\displaystyle\sf 5x+15y-18x+4y\)
Next, we can combine the like terms:
\(\displaystyle\sf 5x-18x+15y+4y\)
\(\displaystyle\sf -13x+19y\)
Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Does this graph show a function? Explain how you know.
• A. No; there are y-values that have more than one x-value.
B. No; the graph fails the vertical line test.
• c. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
A graph that shows a function must pass the vertical line test
The true statement is (b) No; the graph fails the vertical line test.
How to determine if the graph shows a function?
For a graph to show a function, the graph must pass the vertical line test
The given graph do not pass the vertical line test;
This is so because, a line drawn from the x-axis would touch the graph at at least two different points
Hence, the true statement is (b) No; the graph fails the vertical line test.
Read more about the vertical line tests at:
https://brainly.com/question/1821791
find the smallest number which is exactly divisible by 12 and 16
Answer:
48 is the answer..........
25 POINTS!!!!!!!! Write the slope-intercept form of the equation of the line described.
Answer:
I'm sorry hindi ko po alam
Drag the tiles to the boxes to form correct pairs. In the diagram, transversal t cuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows they are congruent. alternate exterior angles ∠2, ∠3 and ∠5, ∠8 alternate interior angles ∠1, ∠8 and ∠2, ∠7 corresponding angles ∠3, ∠6 and ∠4, ∠5 vertical angles ∠1, ∠5 and ∠2, ∠6 arrowBoth arrowBoth arrowBoth arrowBoth
Answer:
here
alternate exterior angles--∠1, ∠8 and ∠2, ∠7
alternate interior angles--∠3, ∠6 and ∠4, ∠5
corresponding angles--∠1, ∠5 and ∠2, ∠6
vertical angles--∠2, ∠3 and ∠5, ∠8
Step-by-step explanation:
Answer:
here
alternate exterior angles--∠1, ∠8 and ∠2, ∠7
alternate interior angles--∠3, ∠6 and ∠4, ∠5
corresponding angles--∠1, ∠5 and ∠2, ∠6
vertical angles--∠2, ∠3 and ∠5, ∠8
Step-by-step explanation:
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
What the meaning of statement this?
The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.
What does the statement implies?The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.
In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.
For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.
Learn more about set on
https://brainly.com/question/13458417
#SPJ1
Algebra Question
Let v = (-7,6,-6) and w = (-5,-3,-6) be vectors in R^3. Find the orthogonal projection of v onto w.
Answer:
Projection on w: (-54/14, -159/70, -159/35)
I have the correct answer but I don't know how they got it.
The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).
To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:
proj_w(v) = (v⋅w) / (w⋅w) * w
where ⋅ denotes the dot product.
Calculating the dot product of v and w:
v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53
Calculating the dot product of w with itself:
w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70
Now, substituting these values into the formula, we have:
proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)
Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).
In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.
for such more questions on vector
https://brainly.com/question/15519257
#SPJ8
Which graph shows the solution to the system of linear equations?
y = 2x − 2
4x − 2y = 4
Coordinate plane with one line that passes through the points 0 comma negative 2 and 1 comma 0.
Coordinate plane with one line that passes through the points 0 comma negative 1 and 1 comma 1 and another line that passes through the points 0 comma negative 2 and 1 comma 0.
Coordinate plane with one line that passes through the points 0 comma 1 and 1 comma 2.
Coordinate plane with one line that passes through the points 0 comma negative 2 and 1 comma 0 and another line that passes through the points 0 comma 1 and 1 comma 2.
The solution of the system of equations can be seen in the image at the end, the system has infinite solutions.
Which graph shows the solution of the system of equations?Here we have the system of linear equations below:
y = 2x - 2
4x - 2y = 4
To find the solution graphically, we need to graph both of the equations on the same coordinate axis and find the point where the lines intersect.
The graph can be seen in the image below, and there you can see only one line, that is because both of the equation of our system represent the same line, and thus, the system has infinite solutions.
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
What is the quotient of (2m4 +21m3 + 35m2 – 37m +45) = (2m + 7)?
Answer:
3rd option is the answer
Step-by-step explanation:
hope u understand
(30 points!)
which of the following is a true statement?
Answer:
B OR D
Step-by-step explanation:
answer question for points and brainless (right answer not something dum)
Answer:
Hey shelby Sorry i havent talk to you anyway maybe want to catch up and talk someday
Step-by-step explanation:
And ill answer the question when i can focus more sorry if i stole ur points ummmm ill put the answer as a comment to my answer or what ever
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
Learn more on length : https://brainly.com/question/23008020
#SPJ1
The diagram represents two statements:p and q Which represents regions a,b,c
The statement for regions A, B, C are "Elements in P but not in Q." "Elements in both P and Q." and "Elements in Q but not in P." respectively
Describing the statements of the regions of A, B and CThe descriptions of the regions A, B and C from the Venn Diagram that complete the question are as follows:
Region A:
This region represents the set of elements that belong only to P, but not to Q i.e. A is the set of elements that are in P but not in Q.
Region B:
This region represents the set of elements that belong to both circle P and circle Q. i.e. B is the intersection of sets P and Q.
Region C:
This region represents the set of elements that belong only to circle Q, but not to circle P. i.e. C is the set of elements that are in Q but not in P.
Read more about sets at
https://brainly.com/question/24713052
#SPJ1
Please help by tomorrow
The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.
How to calculate the value?From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:
= 2125 + (49.99 × x)
= 2125 + 49.99x
The equation that can be used to represent the information about Richie company will be:
= (39.95 × x)
= 39.95x
Therefore, we will equate both equations:
2125 + 49.99x = 39.95x
49.99x - 39.95x =2125
10.04x = 2125
x = 212
Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Natalie invests $2,000 into a savings account
which earns 11% per year. In 20 years, how
much will Natalie's investment be worth if
interest is compounded monthly? Round to the
nearest dollar.
Answer:
We can use the formula for compound interest to find the future value (FV) of Natalie's investment:
FV = P * (1 + r/n)^(n*t)
Where:
P is the principal amount (the initial investment), which is $2,000 in this case
r is the annual interest rate as a decimal, which is 11% or 0.11
n is the number of times the interest is compounded per year, which is 12 since interest is compounded monthly
t is the number of years, which is 20
Substituting the values into the formula, we get:
FV =
2
,
000
∗
(
1
+
0.11
/
12
)
(
12
∗
20
)
�
�
=
2,000 * (1.00917)^240
FV = $18,255.74
Therefore, after 20 years of compounded monthly interest at a rate of 11%, Natalie's investment of 2,000 will be worth approximately 18,256.
Answer:
$17,870
Step-by-step explanation:
You must use the formula for compound interest.
A = P(1 + r/n)^nt
I suggest you look it up at some point so that you can do these more easily in the future!
Please help me answer this question!!!
Answer:
19
Step-by-step explanation:
The triangle is an isosceles and so angle SRT and angle STR are equal
also:
Angle SRT and angle STU are supplementary so their sum is equal to 180
7x + 2x + 9 = 180 add like terms
9x + 9 = 180 subtract 9 from both sides
9x = 171 divide both sides by 9
x = 19
Given that ABCD is a rhombus, what is the value of x?
Answer:
where is x
Step-by-step explanation:
Answer:
If it is (3x+12) then the answer is 19.5
Step-by-step explanation:
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it.
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.
The given statement is true.
More about the polygon link is given below.
https://brainly.com/question/17756657
#SPJ1
A number decreased
by the sum of the number and three
Answer:
-3
Step-by-step explanation:
x - (x+3)
x - x -3
-3
Same set up as the problem to the left. Fill in the blanks.
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
Read more about sequence at
https://brainly.com/question/30499691
#SPJ1
simplfy expression using properties in operation :-8(1+x)+7x
In a system of pulleys, 2 turns of "A" will turn ``B" three times and 2 turns of “B" will turn “C” prime prime seven times. If pulley "A" turns 4 times, how many times will pulley mathcal ^ prime prime C^ prime turn?A) 21 B) 42 C) 14 D) 84
Since every two turns of "A", turns "B" three times, four turns of "A" will turn "B" six times. Four is two times two and six is two times three.
Using the same logic, since every two turns of "B" turns "C" seven times, now we're turning "B" six times. Three times the value it takes to turn "C" seven times, then, we just need to multiply seven by three.
\(7\times3=21\)If we turn "A" 4 times, then "C" will turn 21 times.
Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answer: 68y+106=36-y
( 1 + 1 ) + ( 1 + 1 + 1 ) in standard form
Answer:
Scientific Notation: 3.45 x 10^5
E Notation: 3.45e5
Step-by-step explanation:
literally impossible to put in standard form
Is the given number a solution of the equation? Which value of d is a solution to the equation 13 – d = 8? 7 5 4 2
Answer:
d = 5 is a solution to the equation 13 - d = 8
Step-by-step explanation:
We have to solve 13 - d = 8
Now,
13 - d = 8,
We add d on both sides,
13 - d + d = 8 + d
13 = 8 + d
we subtract 8 from both sides,
13 - 8 = 8 - 8 + d
5 = d
d = 5
Hence the answer is 5
What is the slope of the line that passes through the points ( 9 , 5 ) (9,5) and ( 21 , − 5 ) (21,−5)? Write your answer in simplest form.
Answer:
-5/6
Step-by-step explanation:
(9, 5) and (21, -5)
slope = m = (difference in y)/(difference in x)
m = (-5 - 5)/(21 - 9)
m = -10/12
m = -5/6
Answer: -5/6
The slope of the line that passes through points (9,5) and (21,-5) is -5/6.
We can use the two-point formula to find the slope for the given line. The formula is as follows:
(y2 - y1) = m*(x2 - x1)
Where (x1, y1, x2, and y2) represent the points on the line, and m is the slope of the line.
In the given case:
x1=9, x2=21
y1=5, y2=-5
Using these values in the two-point formula, we get:
(-5-5)=m*(21-9)
-10=m*12
m=-10/12
m=-5/6
Hence the slope of the line is -5/6.
To find out more about the two-point formula:
brainly.com/question/30241830