The formulae that specify how much 8% solution and how much 24% solution were utilized are [tex]x+ y=200 and x+3y=450.[/tex]
What is an equation ?A mathematical equation is a formula that uses the equals symbol (=) to link two expressions and represent their equivalence. A mathematical statement that demonstrates the equality of two mathematical expressions is an equation in algebra, in its most basic form. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
Let x and y be the volume of the 8% and 24% solutions, respectively, that were utilized.
The entire solution volume, as stated in the question, will be 200ml. The resulting equation is: [tex]x +y=200[/tex]
Now that it has been stated that 8%, 18%, and 24% saline mixes would be employed as the solution, the following equation will be:
[tex]0.08x+ 0.24y=0.18*200\\8x/100+24/100=18/100*200\\8x+24y=3600\\\\8(x+3y)=3600\\ x+3y=450\\[/tex]
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
The scale model of a building is 5.4 feet tall.
A. If the
original building is 810 meters tall, what was the scale used to
make the model?
B. If the model is made out
of tiny bricks each measuring 0.4 inch in
height, how many bricks tall is the model?
Answer:
answer in image blow
Step-by-step explanation:
A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.
A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.
What is the length of the hypotenuse of the triangle? Round to the nearest tenth.
3.9 in.
4.1 in.
22.7 in.
23.0 in.
The length of the hypotenuse of the right triangle is 4.1in
What is trigonometry ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
In trigonometry, if θ is the angle opposite the 4 in line, then sinθ= opp/hyp
cosθ=adj/hyp
tanθ= opp/adj
to find the hypotenuse
sin80= 4/hyp
hyp= 4/sin80
hyp = 4/0.985
therefore the hypotenuse = 4.1 in
learn more about trigonometry ratio from
https://brainly.com/question/13276558
#SPJ1
An experiment is carried out to determine the relationship between the average speed (rpm) and power (hp) of a mixer.
Construct a scatter plot for the data obtained in the experiment. Complete your work in the space provided or upload a
file that can display math symbols if your work requires it. Be sure to label the axes and include an appropriate scale for
the numerical labels.
Answer: The wording may be confusing, but the problem is simple.
All they are asking you to do is to plot those x-y value pairs as data points on a graph. Doing that is very basic to science. In science, you put your data on a chart and look at how it shapes up to draw conclusions.
So your first point has x=325.0 and y=1.10,
your second point has x=348.9 and y=1.40, and so on.
If using pencil and paper, your best bet is to use graphing paper, or at least grid paper. Then your first step would be setting up the scale on the axes. You need to fit points with y values between 0.25 and 1.40, so you may want to set the scale on the y-axis so it covers the range from 0 to 1.6 at least (maybe even 0 to 2). Your x values are between 230.0 and 348.9, so you could set up your x-axis so that it includes 0 to 360 (or 0 to 400). Alternatively, you may not include x values all the way down to zero and set your x scale from 200 to 360 only,
The conclusion that you would draw from your plot is that the power seems to vary linearly with speed. The data points are almost in a straight line. They are not perfectly aligned, of course. There is always some variability in accurate data, but you can see a trend. You could draw a line that seems to fit the points best and use it to predict that the power at 250 rpm would be 0.44 hp for example.
Step-by-step explanation:
When a tractor pulls a plow through an agricultural field, the energy needed to pull that plow is called the draft. The draft is affected by environmental conditions such as soil type, terrain, and moisture. A study was conducted to determine whether a newly developed hitch would be able to reduce draft compared to the standard hitch. (A hitch is used to connect the plow to the tractor.) Two large plots of land were used in this study. It was randomly determined which plot was to be plowed using the standard hitch. As the tractor plowed that plot, a measurement device on the tractor automatically recorded the draft at 25 randomly selected points in the plot. After the plot was plowed, the hitch was changed from the standard one to the new one, a process that takes a substantial amount of time. Then the second plot was plowed using the new hitch. Twenty-five measurements of draft were also recorded at randomly selected points in this plot. a. What was the response variable in this study? Identify the treatments. What were the experimental units? b. Given that the goal of the study is to determine whether a newly developed hitch reduces draft compared to the standard hitch, was randomization used properly in this study? Justify your answer. c. Given that the goal of the study is to determine whether a newly developed hitch reduces draft compared to the standard hitch, was replication used properly in this study? Justify your answer. d. Plot of land is a confounding variable in this experiment. Explain why.
a. The response variable in this study is the draft.
The response variable is the variable that is being measured or predicted in a study. It is also known as the dependent variable. The treatments are the standard hitch and the new hitch. The experimental units are the 25 randomly selected points in each plot.
b. Yes, randomization was used properly in this study.
By randomly assigning one plot to use the standard hitch and the other plot to use the new hitch, the researcher is ensuring that any difference in draft observed between the two plots is not due to any other factors besides the hitch.
c. No, replication was not used properly in this study. Replication involves taking multiple measurements of the same treatment to ensure that any observed differences between treatments are not due to random variation.
By only taking 25 measurements of each treatment, it is impossible to determine whether any observed differences are due to the treatment or just random variation.
d. Plot of land is a confounding variable in this experiment.
This is because the two plots may differ in soil type, terrain, and moisture, which can all affect the draft. This means that any observed difference in draft between the two plots may be due to the hitch, but it may also be due to the difference in environment between the two plots.
For more questions like Response variable click the link below:
https://brainly.com/question/14662435
#SPJ4
help pls i don’t know the last two!
Drag each label to the correct location on the image.
Identify which equations have one solution, infinitely many solutions, or no solution.
3u+40+2u6u- 30-u
2.3y +3.2-y= 2.1 + 1.3y + 1.1
No Solution
One Solution
2.2z+ 3z = 4.5-3.2
x+²+x= x
²x + ² + x = ² x 20 +4r = 32 - 2r
²/²
Infinitely Many Solutions
No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r. One solution: 2x + 4 = 3x + 1/2
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.
If the value of the variable is zero, then the no solution.
If the value of the variable is one, then the one solution.
If the value of the variable is infinity, then the infinite many solutions.
No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r.
One solution: 2x + 4 = 3x + 1/2
More about the linear system link is given below.
brainly.com/question/20379472
#SPJ1
Solve the problem and then click on the correct graph.
y≥ lx+1l
Answer:
y is equal to or greater than 1x
Step-by-step explanation:
Factor 24cd − 36c2d.
12c2d(2 − 6)
12cd(2 − 36c2d)
6cd(4 − 36c2d)
4cd(6 − 9c)
Answer:
4cdb ( 6 − 9c )
Step-by-step explanation:
24cd = 4cd × 6
36c²d = 4cd × 9c
24cd − 36c²d = 4cd ( 6 − 9c )
algebra: please check the picture, there is 2 question
answer for 50 point
The {-4, 0, 1} represents members of the domain of the graphed function.
What is the domain of the function?
A function is a mathematical object that accepts input, appears to apply a rule to it, and returns the result.
A function can be thought of as a machine that requires in a number, performs some operation(s), and then outputs the result.
The domain of a function is the collection of all its inputs. Its codomain is the set of possible outputs.
The range refers to the outputs which are actually used.
We have,
collection of the ordered pairs represents a function:
{(4, 19), (-2, 77), (0, 10), (1/2, 9/5), (1, 10), (-3, 0), (100, 100)
a) Domain of the function is:
{ -2, -3, 0, 1/2, 1, 4, 100}.
b) Range of the function is:
{ 0, 9/5, 10, 19, 77, 100}.
Hence, the Domain of the function is { -2, -3, 0, 1/2, 1, 4, 100} and the Range of the function is {0, 9/5, 10, 19, 77, 100}.
To learn more about the domain of the function visit,
https://brainly.com/question/28934802
#SPJ1
A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 20 feet
per second. The height, h, of the pebble after t seconds is given by the equation h= -16+201+1200. How long after
the pebble is thrown will it hit the ground? Use a graphing calculator to solve the problem.
Help pleasee asap
Answer:
Below
Step-by-step explanation:
h = height = 0 when it hits the ground
sooooo...
0 = -16t^2 + 20t + 1200 <==== you equation ommited the t' s and 20t
Use Quadratic Formula a = -16 b = 20 c = 1200
to find t = 9.3 s
evaluate 1000 2/3 what would be the answer
2000/3
Hope it helps
Mark Brainlist
Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
Answer:
x^4 – 6x^2 – 27 = 0 6(2x + 4)^2 = (2x + 4) + 2 6x^4 = -x^2 + 5Step-by-step explanation:
You want to identify the equations that are quadratic in form.
QuadraticA polynomial equation is "quadratic in form" if the powers of the variables are integer multiples of {0, 1, 2}, or some subset of these that includes 2. That is, it will be "quadratic" if some substitution z = f(x) is possible such that the resulting equation in z is a polynomial equation of degree 2.
x^4 – 6x^2 – 27 = 0Term are degrees 0, 2, 4, so this is "quadratic in form". The substitution z=x^2 will give a quadratic in z.
3x^4 = 2xTerm degrees are 1 and 4, so this is not quadratic.
2(x + 5)^4 + 2x^2 + 5 = 0The substitution z = (x+5)^2 is suggested by the 4th-power term, but the remaining terms cannot be written as a linear function of z. This is not quadratic.
6(2x + 4)^2 = (2x + 4) + 2
This is a straight quadratic equation. One could substitute z=2x+4, but that is not necessary. This is "quadratic in form."
6x^4 = -x^2 + 5Term degrees are 0, 2, 4, so this is "quadratic in form."
8x^4 + 2x^2 – 4x = 0Term degrees are 1, 2, 4, so this is not quadratic.
Which choices are common factors of the numerator and denominator of the fraction below? Check all that apply. HELP PLEASEE
9/12
A. 12
B. 3
C. 9
D. 1
E. 36
F. 4
Answer:
B and D
Step-by-step explanation:
While D is a given factor for any number, 3 is the only number that 9 and 12 can be evenly divided by.
What fraction is equal to 75% of 1/2
Answer:
equal 3/8 or 0.375 siuuuuu
A person starts walking from home and walks:
2 miles East
3 miles Southeast
6 miles South
7 miles Southwest
3 miles East
This person has walked a total of
miles
Find the total displacement vector for this walk:
If this person walked straight home, they'd have to walk
miles
This person has walked a total of 21 miles and the total displacement vector for this walk is 13.153 in northeast direction by the concept of distance and displacement.
What is distance and displacement?Unaffected by direction, distance describes an object's entire movement. Displacement, in contrast, refers to a shift in an object's position. Because of this, the primary distinction between distance and displacement is that one is a scalar and the other is a vector.
According to question let us determine the total distance 2 miles+3 miles+6 miles+7 miles+3 miles =21 miles
So, this person has walked a total of 21 miles
Now let us find displacement vector as follows:
Divide into parts: Each leg on the Southeast and Southwest diagonals is the hypotenuse, therefore multiply by (2) /2.
x-axis is given as 2+3*(√ (2) /2) +0 -7(√ (2) /2) +3 =1.464
Similarly, y-axis is given as 0- 3(√ (2) /2)- 6- 7(√ (2) /2) +0=-13.071
The coordinates of the given ques are as follows: <1.464, -13.071>
By Pythagoras theorem, the hypotenuse of the given coordinates is 13.153 in northeast which is our required displacement.
To know more about Pythagoras theorem, visit:
https://brainly.com/question/343682
#SPJ1
The monthly salaries (in thousands of dollars) of a sample of 5 sales representatives are as follows.
8, 6, 12, 11, 13
Send data to calculator
Find the standard deviation of this sample of monthly salaries. Round your answer to two decimal places.
0
The standard deviation of the sample of monthly salaries is 2.74
What is Standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the further the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.
>Standard deviation gauges a dataset's dispersion from its mean.
>It is determined as the variance's square root.
Detailed Calculation:Mean = [tex]\frac{(8+6+12+11+13)}{5} = 10[/tex]
Variance = [tex]\frac{((8-10)^{2}+(6-10)^{2}+(11-10)^{2}+(13-10)^{2} )}{(5-1)} = 6[/tex]
Standard deviation = [tex]\sqrt{7.5} = 2.7386[/tex]
when rounded off to two decimals 2.7386≈2.74.
The standard deviation of the sample of monthly salaries is 2.74
To know more about standard deviation, visit:
https://brainly.com/question/475676
#SPJ1
write the converse, contrapositive, and negation of the following statement. for all the heroes in the mcu, if jessica is strong, then luke is invulnerable and matt is blind.
Assume "in the event that p, q" is the given contingent assertion "in the event that ∼q, ∼p" is its contrapositive assertion. Consider the situation in which the conditional statement "if p, then q" serves as its converse statement.
What's the opposite of?Reversing the two statements that make up a categorical or implicational statement yields its opposite in logic and mathematics. The opposite of the implication P Q is Q P.
What is the contrapositive of P Q?The converse statement (q p) and inverse statement (p q) of a conditional statement p q are equivalent to one another. The statement p q and its counter positive counterpart, q p, are equivalent.
To learn more about contrapositive assertion here
https://brainly.com/question/5306301
#SPJ4
What is the equation for the line that passes through the points (3, 4) and (5,8)?
Answer:
y=2x-2
Step-by-step explanation:
formula for the equation of a line is y=mx+b
formula for slope is (y2 - y1)/(x2-x1)
which makes the slope 2 (m=2)
then calculate for b which is -2
finally the formula is y = 2x - 2
A family of bears is going to a movie. The following data points represent the ticket and candy price (in dollars) for each bear. Sort the data from least to greatest. Find the interquartile range (IQR) of the data set.
The interquartile range (IQR) is a measure of dispersion, which is a measure of how spread out a data set is. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).
Q1 = ( n +1 ) / 4th observation
= ( 9 + 1) / 4
= 2.5 th obseravation
That is the average of 2nd and 3rd observations.
Q1 = 2
Q3 = 3 ( n + 1) / 4 th observation
= 3 ( 9 + 1) / 4
= 7.5 th observation
That is the average of the 7th and 8th observation
Q3 = 5.5
Interquartile range = Q3 - Q1 = 5.5 - 2 = 3.5
In this data set, the first quartile is the average of the second and third observations (2), and the third quartile is the average of the seventh and eighth observations (5.5). Subtracting the first quartile from the third quartile gives us an IQR of 3.5. This means that the values in the data set are spread out over a range of 3.5 dollars.
Learn more about Interquartile Range here:
https://brainly.com/question/4102829
#SPJ4
Create a problem that could be solved by multiplying (−3) × (−6).
A problem that could be solved by multiplying (−3) × (−6) is "the product of -3 and -6"
How to determine the productFrom the question, we have the following parameters that can be used in our computation:
(-3) x (-6)
In the above expression, we can see that
-3 and -6 are multiplied
This means that the problem is a product expression
And a problem that can represent (-3) x (-6) is "the product of -3 and -6"
Read more about product expression at
https://brainly.com/question/4541471
#SPJ1
What are the coordinates of the point on the directed line segment from (-10, 2) to
(-3, -5) that partitions the segment into a ratio of 4 to 3?
Answer:
(-6, -2)
Step-by-step explanation:
For points A(-10, 2) and B(-3, -5), you want the point P that makes AP/PB = 4/3.
SetupUsing (x, y) for the coordinates of P, we have ...
AP/PB = 4/3
((x, y) -(-10, 2))/((-3, -5) -(x, y)) = 4/3
SolutionThis simplifies to ...
(x+10, y-2)/(-3-x, -5-y) = 4/3
Cross multiplying gives ...
3(x +10, y -2) = 4(-3 -x, -5 -y)
(3x+30, 3y-6) = (-12-4x, -20-4y)
Treating these equations separately, we have ...
3x +30 = -12 -4x ⇒ 7x = -42 ⇒ x = -6
3y -6 = -20 -4y ⇒ 7y = -14 ⇒ y = -2
The point that partitions the segment is (-6, -2).
__
Additional comment
The point that partitions AB in the ratio m/n is ...
P = (mB +nA)/(m+n)
P = (4(-3, -5) +3(-10, 2))/(4+3) = (-12-30, -20+6)/7 = (-42, -14)/7 = (-6, -2)
Above, we started from the basic requirement, rather than using the formula that results from that requirement.
Jordan is working two summer jobs, making $6 per hour walking dogs and making $15 per hour clearing tables. In a given week, he can work a maximum of 11 total hours and must earn at least $120. If xx represents the number of hours walking dogs and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
xx=5 and yy=6
Step-by-step explanation:
Hope it helps you
The double number line shows that 444 bottles of water cost 101010 dollars at a music festival.Based on the ratio shown in the double number line, how much does 333 bottles of water cost?
Answer:
appt
Step-by-step explanation:
What is the slope of the line that contains the points (2, -7) and (-1, 5)?
- -4
- -1/4
- 1/4
- 4
PLS ASAP
Answer:
-4
Step-by-step explanation:
I use this equation to solve it^^
The length of a piece of wire is 5/6 the length of a rope. The length of a piece of string is 1/4 the length of the rope. The length of the piece of string is 4.5 centimeters. Find the ratio of the length of the piece of wire to the length of the rope to the length of the piece of string.
Show your solution.
The ratio of the length of the piece of wire to the length of the rope to the length of the piece of string is 6:5:1.5
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Let the length of the rope = x
Length of a piece of wire = (5/6)x
Length of a piece of string = (1/4)x
Length of the piece of string = 4.5cm
This can be written as,
4.5cm = (1/4)x
45/10 x 4 = x
x = 9 x 2
x = 18 cm
Now,
Length of the rope = 18 cm
Length of a piece of wire = 5/6 x 18 = 15 cm
Now,
Length of the rope : Length of a piece of wire : Length of a piece of string
18:15:4.5
We can simplify the ratio as,
Taking out the common factor 3.
6:5:1.5
Thus,
The required ratio is 6:5:1.5
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ1
The vertices of ABC are A(3,-4), B(-4,-2), and C(1,1). For the translation below, give the vertices of A’B’C
T(-5, -2 (ДАВС)
The vertices of A'B'C' are A, B, and C
(Simplify your answers. Type ordered pairs.)
The translated vertices from the given vertices are:
A(3, -4) → A'(-2, -6)
B(-4, -2) → B'(-9, -4)
C(1, 1) → C'(-4, -1)
What is the translation rule?The translation rule for the coordinates of a graph is given by
(x, y) → (x + a, y + b)
Here the coordinates (x, y) are translated by (a, b) units.
Calculation:The given vertices of a ΔABC are:
A(3, -4), B(-4, -2), and C(1, 1)
If the vertices are translated by T(-5, -2) units, then the new vertices after translation are calculated by using the rule (x, y) → (x + a, y + b). Here (a, b) is (-5, -2).
Thus,
A(3, -4) → (3 - 5, -4 - 2) ⇒ A'(-2, -6)
B(-4, -2) → (-4 - 5, -2 - 2) ⇒ B'(-9, -4)
C(1, 1) → (1 - 5, 1 - 2) ⇒ C'(-4, -1)
Therefore, the translated version of the ΔABC is ΔA'B'C' and its vertices are A'(-2, -6), B'(-9, -4), and C'(-4, -1).
Learn more about the translation rule here:
https://brainly.com/question/12861087
#SPJ1
What is the area of the remaining figure?
Answer:
136 in^2
Step-by-step explanation:
The rectangle withOUT the missing part is 20 X 8 = 160 in^2
now subtract the 4-12 traingle
160 - 1/2 (4 X 12) = 136 in^2
Answer:
area of triangle = 1/2bh
= 1/2(4)(20-8)
= 1/2(4)(12)
= 24 in²
area of rectangle = lw
= 20(8)
= 160 in²
answer
= area of rectangle - area of triangle
= 160 - 24
= 136 in²
Therefore, the area of the remaining figure is 136 in²Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-The starting voltage of a fresh alkaline battery is 1.45 V The voltage decreases during discharge and is 0.70 V when the battery has delivered its rated capacity If we assume that the voltage declines linearly as current is withdrawn, estimate the total maximum electrical work the battery could perform during discharge.
An "AA" alkaline battery yields a nominal capacity of 2850 mAh
The total maximum electrical work the battery could perform during discharge is 11 kj.
Describe function.When looking at a graph, we use a procedure known as the Vertical Line Test to determine whether a function is actually a function. Simply drawing a vertical line will reveal whether the graph is a function if it touches it once. The graph is not a function if the vertical line is higher. A function is defined technically as a relationship between a set of possible outputs and a set of inputs, where each input is associated to exactly one outcome.
Given
Work is dependent on power.
Power is function on voltage.
Voltage is linear, according to the query, so:
V(t) = at + V
a = Slope
a = 0.70 - 1.45/3600s
P(t) = V*I = V(t) *I (I= 2850 mA)
Then,
W= ∫03600 P(t) dt
= ∫03600 ( at +1.45 )*I dt
= I × ∫03600 ( at +1.45 )dt
W= 2.850( a*36002 /2 + 1.45*3600)
W = 11
To learn more about function, visit:
https://brainly.com/question/5975436
#SPJ4
The area of the triangle is 22.4 cm². Calculate the length, b, of the longest side of the triangle.
The length, b, which is the longest side of the triangle, can be found to be 13.172 cm.
How to find the length ?To find the area of 22.4 cm², the formula used was:
Area = 1/2 x a x b x Sin(C)
Using this formula, we can find the value of side a to be :
22.4 = 1/2 x 3.7 x a x Sin(97°)
a = 12. 199 cm
We can then use the Cosine rule to find the value of b, which is the longest side:
b² = a² + c² - 2 x a x c x Cos(B)
b = √ ( a² + c² - 2 x a x c x Cos(B))
b = 13. 172 cm
Find out more on length at https://brainly.com/question/15376177
#SPJ1
The average of a list of n numbers is 90. After the number 90n is added to the list , the average of list is 168. Find n?
Answer:
14
Step-by-step explanation:
[tex]\frac{90n+90n}{n+1}=168 \\ \\ 180n=168n+168 \\ \\ 12n=168 \\ \\ n=14[/tex]
Answer:
Step-by-step explanation:
Let the sum of the original list of n numbers be S. The average of the list is given by:
average = S/n
Since the average is 90, we can write:
90 = S/n
Multiplying both sides by n, we get:
90n = S
After the number 90n is added to the list, the average of the list becomes 168. The sum of the list is now S + 90n. The number of elements in the list is now n+1. The average of the list is given by:
average = (S + 90n) / (n+1)
Since the average is 168, we can write:
168 = (S + 90n) / (n+1)
Multiplying both sides by n+1, we get:
168(n+1) = S + 90n
Substituting for S using the equation S = 90n, we get:
168(n+1) = 90n + 90n
Simplifying, we get:
168n + 168 = 180n
Subtracting 168n from both sides, we get:
168 = 12n
Dividing both sides by 12, we get:
14 = n
Therefore, n = 14.
4 adults took their 5 children to a movie. The price for the 9 people was $160. The 5 children recieved a 20% discount on their tickets. The cost for a child ticket is how much less than the cost of an adult ticket?
The cost for a child ticket was $4 less than the cost of an adult ticket.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the cost of adult tickets be x.
The 5 children received a 20% discount on their tickets.
So;
x-20% of x
= (x-20/100) × x
= x-0.2x
= 0.8x
Here, 4x+5×0.8x=160
⇒ 4x+4x=160
⇒ 8x=160
⇒ x=20
So, the cost of children is 20-20% of 20
= 20-0.2×20
= 20-4
= 16
Therefore, the cost for a child ticket was $4 less than the cost of an adult ticket.
To learn more about equation: brainly.com/question/14686792.
#SPJ1