Answer:
tanФ = 2.6363636
Step-by-step explanation:
To find the tangent of the angle in-between the lines we will follow the steps below:
We are going to use the formula;
tanФ = |m₂ - m₁ / 1 + m₁m₂|
We can get the slope m₁ from the first equation
2x+3y–5=0
we will re-arrange it in the form y=mx + c
3y = -2x + 5
Divide through by 3
y = -[tex]\frac{2}{3}[/tex]x + [tex]\frac{5}{3}[/tex]
comparing the above equation with y=mx + c
m₁ = -[tex]\frac{2}{3}[/tex]
We will proceed to find the second slope m₂ using the second equation
5x=7y+3
we will re-arrange it in the form y=mx + c
7y = 5x -3
divide through by 7
y = [tex]\frac{5}{7}[/tex] x - [tex]\frac{3}{7}[/tex]
comparing the above with y=mx + x
m₂ = [tex]\frac{5}{7}[/tex]
we can now go ahead and substitute into the formula
tanФ = |m₂ - m₁ / 1 + m₁m₂|
tanФ = | [tex]\frac{5}{7}[/tex] - (-[tex]\frac{2}{3}[/tex] ) / 1 + (-[tex]\frac{2}{3}[/tex]₁)( [tex]\frac{5}{7}[/tex])|
tanФ = | [tex]\frac{5}{7}[/tex] +[tex]\frac{2}{3}[/tex] / 1 - [tex]\frac{10}{21}[/tex]|
tanФ = | [tex]\frac{29}{21}[/tex] / [tex]\frac{11}{21}[/tex]|
tanФ = | [tex]\frac{29}{21}[/tex] × [tex]\frac{21}{11}[/tex]|
21 will cancel-out 21
tanФ =[tex]\frac{29}{11}[/tex]
tanФ = 2.636363
Find the slope and y-intercept of the following graph.
Answer: y = -5*x + b
Step-by-step explanation:
A line is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
IIf we have a line that passes through the points (x1, y1) and (x2, y2) then the slope of the line is:
a = (y2 - y1)/(x2 - x1)
In this case we can see that the line passes through the points:
(0, 2) and (1, - 3)
Then the slope is:
a = (-3 - 2)/(1 - 0) = -5
Then our line is:
y = -5*x + b
And when x = 0, y = 2 then:
y = 2 = -5*0 + b
2 = b
Our line is:
y = -5*x + b
Given the sequence 38, 32, 26, 20, 14, ..., find the explicit formula.
Answer:
The explicit formula for the sequence is
44 - 6nStep-by-step explanation:
The above sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 38
d = 32 - 38 = - 6 or 20 - 26 = - 6 or
14 - 20 = - 6
So the formula for the sequence is
A(n) = 38 + ( n - 1)-6
= 38 - 6n + 6
We have the final answer as
A(n) = 44 - 6nHope this helps you
Answer:
[tex]\huge\boxed{a_n=-6n+44}[/tex]
Step-by-step explanation:
This is an arithmetic sequence:
32 - 38 = -6
26 - 32 = -6
20 - 26 = -6
14 - 20 = -6
The common difference d = -6.
The explicit formula of an arithmetic formula:
[tex]a_n=a_1+(n-1)(d)[/tex]
Substitute:
[tex]a_1=38;\ d=-6[/tex]
[tex]a_n=38+(n-1)(-6)[/tex] use the distributive property
[tex]a_n=38+(n)(-6)+(-1)(-6)\\\\a_n=38-6n+6\\\\a_n=-6n+(38+6)\\\\a_n=-6n+44[/tex]
In the diagram, PQRT is a rhombus. STUQ and
PUR are straight lines. Find the values of x and y.
Step-by-step explanation:
since PQRT is a rhombus,
URQ=TPU
y=180-90-24=66
x=180-32-90-24=34
In △ABC, m∠A=45°, c=17, and m∠B=25°. Find a to the nearest tenth.
Answer:
12.8
Step-by-step explanation:
you have to use the law of sines to calculate it. the measure of angle c is 110 and you have to do
Sin(110)x=17sin(45)
and then it turns into 17sin(45)/sin(110)
then put it into desmos with it being in degrees mode
convert 1000110binary into decimal number system
Answer:
70₁₀Step-by-step explanation:
In order to convert a binary number into a decimal, it is expanded in the power of 2. Then, by simplifying the expanded form of the binary number, we obtain a decimal number.
Let's solve:
[tex]1000110[/tex]
[tex] = 1 \times {2}^{6} + 0 \times {2}^{5} + 0 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]
[tex] = 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 \times 0 \times 1[/tex]
[tex] = 64 + 0 + 0 + 0 + 4 + 2 + 0[/tex]
[tex] = 70[/tex]₁₀
Hope I helped!
Best regards!!
3. Callum rolled a single six sided die 12 times and it landed on a six, three of the times. The probability that it will land on a six on the 13th roll is?
Answer:
1/6
Step-by-step explanation:
Each roll is independent. So the probability of rolling a six is 1/6, regardless of the previous rolls.
An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is___square inches.
a)130
b)111
c)109
d)84
Answer:
130
Step-by-step explanation:
just did test on plato/edmentum..it was correct
84 (the answer above) is incorrect
Answer:
Hi sorry for late respond but the answer in 130!!
Step-by-step explanation:
Drag each tile to the correct box.
Three geometric sequences are given below.
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27,
Order the sequences from least common ratio to greatest common ratio.
Sequence A
Sequence C
Sequence B
Answer:
Sequence B, Sequence A, Sequence C
Step-by-step explanation:
Data obtained from the question include the following:
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27
Next, we shall determine the common ratio of each sequence. This is illustrated below:
Common ratio (r) is simply obtained by dividing the 2nd term (T2) by the 1st term (T1) or by dividing the 3rd term (T3) by the 2nd term (T2). Mathematically, it is expressed as:
r = T2/T1 = T3/T2
For sequence A:
160, 40, 10, 2.5
2nd term (T2) = 40
Ist term (T1) = 160
Common ratio (r) =..?
r = T2/T1
r = 40/160
r = 1/4
r = 0.25
Therefore, the common ratio is 0.25.
For sequence B:
-21, 63, -189, 567
2nd term (T2) = 63
Ist term (T1) = -21
Common ratio (r) =..?
r = T2/T1
r = 63/-21
r = - 3
Therefore, the common ratio is - 3.
For Sequence C:
8, 12, 18, 27
2nd term (T2) = 12
Ist term (T1) = 8
Common ratio (r) =..?
r = T2/T1
r = 12/8
r = 3/2
r = 1.5
Therefore, the common ratio is 1.5.
Summary:
Sequence >>>>> Common ratio
A >>>>>>>>>>>>> 0.25
B >>>>>>>>>>>>> - 3
C >>>>>>>>>>>>> 1.5
From the above illustration,
Ordering the sequence from least to greatest common ratio, we have:
Sequence B, Sequence A, Sequence C.
Please answer question now what the answer
Answer:
100 degrees
Step-by-step explanation:
360-260=100
Answer:
x=100
Step-by-step explanation:
130+130+x=360
260+x=360
x=100
Have a great and magnificent day
create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.
A. + 7 = 12; x = 5
B. x = 5 + 7; x = 12
C. x + 5 = 7; x = 2
D. x + 7 = 5; x = -2
Answer:
C
Step-by-step explanation:
We can notice that the balance beam has in one side 7 balls and in the other one 5 balls and a square
The balance beam is balenced
Let x be the square mass
x+5 = 7 substract five from each side x+5-5 = 7-5 x = 2The solution is 2
C fits perfectly what we prooved
Answer:
C: x + 5 = 7; x = 2
Step-by-step explanation:
Refer to the given model. On the left-hand side of the balance beam, there are five circles and one square. On the right-hand side of the balance beam, there are seven circles. The balance beam is evenly distributed, so the value on the left-hand side of the balance beam must be the same as the value on the right-hand side of the balance beam.
The square stands for an unknown quantity. In algebra, variables are used to represent unknown quantities, so x will represent the value of the square.
The model shows that the value of x plus five circles is the same as seven circles. Replacing the word "plus" with a plus sign and replacing "is the same as" with an equal sign gives the equation x + 5 = 7.
To solve the equation, subtract 5 from both sides of the equation to isolate x.
Thus, the solution to the equation is x = 2.
On August 8, 1981, American Savings offered an insured tax-free account paying 23.24% compounded monthly. If you had invested $90,000 at that time, how much would you have on August 8, 2014, assuming that you could have locked the interest rate at the time of deposit? Someone please help me!!
Answer:
$181,432,754
Step-by-step explanation:
We use the formula for compound interest here, to determine the amount
Mathematically, that would be;
A =I (1 + r/n)^nt
where A is the amount which we want to calculate
I is the initial amount which is $90,000
r is the rate = 23.24% = 23.24/100 = 0.2324
n is the number of times per year the interest is compounded = 12 (compounded monthly)
t is the number of years = 2014 - 1981 = 33
Substituting these values, we have;
A = 90,000(1 + 0.2324/12)^(33 * 12)
A = 90,000(1 + 0.0194)^396
A = 90,000(1.0194)^396
A = 181,432,754.27210504
Which is approximately $181,432,754 to the nearest whole dollars
Thanks for helping...
Answer:
16
Step-by-step explanation:
Subtracting the given expressions, that is
3b² - 8 - (b(b² + b - 7) ) ← simplify parenthesis
= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1
= 3b² - 8 - b³ - b² + 7b ← collect like terms
= - b³ + 2b² + 7b - 8 ← substitute b = - 3
= - (- 3)³ + 2(- 3)² + 7(- 3) - 8
= - (- 27) + 2(9) - 21 - 8
= 27 + 18 - 21 - 8
= 16
I need this done help!!
Answer:
Because the triangle is isosceles, the base angles are congruent, meaning that the angles that are not right angles are x and x. Since the sum of angles in a triangle is 180°, we can write:
90 + x + x = 180
x + x = 90
2x = 90
x = 45°
Answer:
45 degrees
Step-by-step explanation:
This triangle is "isosceles..." two legs are equal. Thus, the triangle has two 45 degree angles. The indicated angle is 45 degreees.
Wesimann Co. Issued 13-year bonds a year ago at a coupon rate of 7.3 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 5.6 percent, what is the current bond price?
Answer:
Current Bond price = $1155.5116
Step-by-step explanation:
We are given;
Face value; F = $1,000
Coupon payment;C = (7.3% x 1,000)/2 = 36.5 (divided by 2 because of semi annual payments)
Yield to maturity(YTM); r = 5.6%/2 = 2.8% = 0.028 (divided by 2 because of semi annual payments)
Time period;n = 13 x 2 = 26 years (multiplied by 2 because of semi annual payments)
Formula for bond price is;
Bond price = [C × [((1 + r)ⁿ - 1)/(r(r + 1)ⁿ)] + [F/(1 + r)ⁿ]
Plugging in the relevant values, we have;
Bond price = [36.5 × [((1 + 0.028)^(26) - 1)/(0.028(0.028 + 1)^(26))] + [1000/(1 + 0.028)^(26)]
Bond price = (36.5 × 18.2954) + (487.7295)
Bond price = $1155.5116
15 points are placed on a circle. How many triangles is it possible to form, such that their vertices will be the given points?
Answer: 445 triangles can be form with 15 dots of a circle (I hope good luck)
Step-by-step explanation:
Answer:
455
Step-by-step explanation:
There are 15 points on a circle.
We need three points to form a triangle
Therefore the number of triangles = 15 choose 3 = 15!/(3!x12!) = (15x14x13)/(3x2x1) = 5x7x13 = 455
Hence the number of triangles formed is 455
A standard deck of of 52 playing cards contains 13 cards in each of four suits : diamonds, hearts , clubs and spades. Two cards are chosen from the deck at random.
Answer:
Probability of (one club and one heart) = 0.1275 (Approx)
Step-by-step explanation:
Given:
Total number of cards = 52
Each suits = 13
FInd:
Probability of (one club and one heart)
Computation:
Probability of one club = 13 / 52
Probability of one heart = 13 / 51
Probability of (one club and one heart) = 2 [(13/52)(13/51)]
Probability of (one club and one heart) = 0.1275 (Approx)
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
The mean and variance are known as the _____
of a distribution.
Answer:
The mean and variance are known as the parameters of a distribution.
Step-by-step explanation:
The mean and the variance are parameters of a distribution. Parameters are constantly estimated in Statistics using samples of values of a population because they are often unknown.
They characterize a quantitative aspect of a probability distribution, and completely determined the distribution. For example, in the normal distribution, the mean, [tex] \\ \mu[/tex], and the variance, [tex] \\ \sigma^{2}[/tex], determined this distribution.
Most of the time, the standard deviation, [tex] \\ \sigma[/tex], is more used than the variance because is in the same units that the mean.
In this way, we can say that these parameters "tell us" where the central point of the distribution is (this is the case for the mean), and also, how spread the values of a probability distribution are (the case for variance or the standard deviation).
4) Flying to Tahiti with a tailwind a plane averaged 259 km/h. On the return trip the plane only
averaged 211 km/h while flying back into the same wind. Find the speed of the wind and the
speed of the plane in still air.
A) Plane: 348 km/h, Wind: 37 km/h B) Plane: 243 km/h, Wind: 30 km/h
C) Plane: 235 km/h, Wind: 24 km/h D) Plane: 226 km/h, Wind: 13 km/h
fundraiser Customers can buy annle nies and
Answer: C) Plane: 235 km/h, Wind: 24 km/h
Step-by-step explanation:
Given that :
Average Speed while flying with a tailwind = 259km/hr
Return trip = 211km/hr
Let the speed of airplane = a, and wind speed = w
Therefore ;
Average Speed while flying with a tailwind = 259km/hr
a + w = 259 - - - (1)
Return trip = 211km/hr
a - w = 211 - - - (2)
From (2)
a = 211 + w
Substitute the value of a into (1)
a + w = 259
211 + w + w = 259
211 + 2w = 259
2w = 259 - 211
2w = 48
w = 48/2
w = 24km = windspeed
Substituting w = 24 into (2)
a - 24 = 211
a = 211 + 24
a = 235km = speed of airplane
Bruhhh I need help dude !!!
Answer:
(B), in which the first two values are 2 and 10.
Step-by-step explanation:
We can tell that this is a proportional relationship because we can examine the numbers in there.
(2,10)
(4,20)
and (6,30).
If you notice, the x value times 5 gets us the y value for every single point there.
Therefore, B is proportional and it's equation is y = 5x.
Hope this helped!
Answer:
B.
Step-by-step explanation:
B. Is the only one that proportional because,
(2,10)
(4,20)
(6,30)
All these x values multiply by 5 to get the y value.
So the equation is y = 5x meaning it is linear and it goes through the origin which makes it proportional.
Thus,
answer choice B is correct.
Hope this helps :)
If you had a cube with a side length of 4, how can your write the calculations in exponential form? What are 2 other ways to read the exponent verbally?
Answer: 4^3
(Four cubed or Four to the power of 3)
Step-by-step explanation:
Find a positive real number such that its square is equal to 14 times the number, increased by 240.
Answer:
Step-by-step explanation:
Let's call the "positive real number" X.
Basically, the question is a riddle asking for the "solution" to 14x+240=x²
Figure that out, and
The answer is 24.
The correct answer is 24.
22.
Makes s the subject
[tex] \sqrt{p} \: is \: equals \: to \: \sqrt[r]{w \: - as ^{2}}[/tex]
Step-by-step explanation:
[tex] \sqrt{p} = \sqrt[r]{w - {as}^{2} } [/tex]
Find raise each side of the expression to the power of r
That's
[tex]( \sqrt{p} )^{r} = (\sqrt[r]{w - {as}^{2} } ) ^{r} [/tex]we have
[tex]( \sqrt{p} )^{r} = w - {as}^{2} [/tex]Send w to the left of the equation
[tex]( \sqrt{p} )^{r} - w = -{as}^{2} [/tex]Divide both sides by - a
We have
[tex] {s}^{2} = -\frac{( \sqrt{p} )^{r} - w}{a} [/tex]Find the square root of both sides
We have the final answer as
[tex]s = \sqrt{ -\frac{( \sqrt{p} )^{r} - w }{a} } [/tex]Hope this helps you
How many minutes are in 324 hours?
Answer: 19440 minutes
Step-by-step explanation:
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------
Answer: There are 19440 minutes in 324 hours.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Since there are 60 minutes in each hour, we need to multiply the time value by 60. Like this:
324 x 60 = 19440.
Enter the coordinates of the vertex of the graph of y=2(x+5)^2
Answer:
The vertex is ( -5,0)
Step-by-step explanation:
The vertex form of a parabola is
y = a( x-h) ^2 +k
where ( h,k) is the vertex
y=2(x+5)^2
y=2(x - -5)^2 +0
The vertex is ( -5,0)
Answer:
vertex = (- 5, 0 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form
with (h, k) = (- 5, 0 )
PLEASE HELP ME! Please do not comment nonsense, and actually comment the answer and the solution.
=================================================
Explanation:
For choice C, the x values are out of order, so it might be tricky at first. I recommend sorting the x values from smallest to largest to get -2, -1, 0, 1, 2. Do the same for the y values as well. Make sure the correct y values stay with their x value pairs. You should get the list of y values to be 4, 2, 1, 1/2, 1/4
Check out the attached image below for the sorted table I'm referring to
We can see the list of y values is going down as x increases. This is a good sign we have decay. Further proof is that we multiply each term by 1/2 to get the next one
4 times 1/2 = 2
2 times 1/2 = 1
1 times 1/2 = 1/2
1/2 times 1/2 = 1/4
and so on. Effectively we can say the decay rate is 50%
I need help ASAP thank you!! Sorry if you can’t see it but you can zoom in:)
Answer:
432 aquariums
Step-by-step explanation:
To determine the number of aquariums the factory made, find the volume of 1 aquarium, then divide the total volume of water required.
Solution:
Volume of triangular prism aquarium = triangular base area × length of triangular prism
Volume = ½*b*h*l
Where,
b = 8 ft
h = 4 ft
l = 3 ft
Volume = ½*8*4*3 = 4*4*3
Volume = 48 ft³
Number of aquarium made = Volume of water required ÷ volume of 1 aquarium
= 20,736 ÷ 48 = 432 aquariums
Wolfrich lived in Portugal and Brazil for a total period of 141414 months in order to learn Portuguese. He learned an average of 130130130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. How long did Wolfrich live in Portugal, and how long did he live in Brazil
Answer:
Wolfrich lived in Brazil for 5 months and 9 months in Portugal
Step-by-step explanation:
Given;
Total Months = 14
Total Words = 1920
Required
Find the time spent in Portugal and time spent in Brazil
Let P represent Portugal and B represent Brazil; This implies that
[tex]P + B = 14[/tex] ---- Equation 1
Considering that he learnt 130 words per month in Portugal and 150 per month in Brazil; This implies that
[tex]130P + 150B = 1920[/tex] --- Equation 2
Make P the subject of formula in equation 1
[tex]P = 14 - B[/tex]
Substitute 14 - B for P in equation 2
[tex]130(14 - B) + 150B = 1920[/tex]
Open Bracket
[tex]1820 - 130B + 150B = 1920[/tex]
[tex]1820 + 20B = 1920[/tex]
Subtract 1820 from both sides
[tex]1820 - 1820 + 20B = 1920 - 1820[/tex]
[tex]20B = 100[/tex]
Divide both sides by 20
[tex]\frac{20B}{20} = \frac{100}{20}[/tex]
[tex]B = 5[/tex]
Substitute 5 for B in [tex]P = 14 - B[/tex]
[tex]P = 14 - 5[/tex]
[tex]P = 9[/tex]
Wolfrich lived in Brazil for 5 months and 9 months in Portugal
Given that
[tex]v = \pi {r}^{2} h[/tex]
Make h the subject of the formula. Evaluate h when
[tex]\pi = 22 \div 7[/tex]
[tex]r = 7[/tex]
[tex]v = 616[/tex]
Answer:
h = 4Step-by-step explanation:
v = πr²h
To make h the subject divide both sides by πr²
So we have
[tex]h = \frac{v}{\pi {r}^{2} } [/tex]
when
π = 22/7
r = 7
v = 616
We have h as
[tex]h = \frac{616}{ \frac{22}{7} \times {7}^{2} } = \frac{616}{ \frac{22}{7} \times 49} [/tex]
[tex]h = \frac{616}{22 \times 7} = \frac{616}{154} [/tex]
h = 4Hope this helps you
25 POINTS AND BRAINLIEST FOR THESE!
Answer:
Step-by-step explanation:
Hello,
For any function f which has an inverse function we can write
[tex]x=(f^{-1}of)(x)=(fof^{-1})(x)=f(f^{-1}(x))[/tex]
This is why, in practice, to find the inverse of f we will consider f(x) = y and we will look for x as a function of y, so we switch x and y and solve for y. Let's do it.
Step 1 - The function f(x) can be written as a variable. [tex]\boxed{y}=f(x)[/tex]
f(x) = y = 5x + 2
Step 2 - switch the variables x <-> y
x = 5y + 2
subtract 2 to both parts of the equation
<=> x - 2 = 5y + 2 - 2 = 5y
divide by 5 both parts of the equation
[tex]<=> y=\dfrac{x-2}{5}[/tex]
It means that the inverse of f is as below.
[tex]\boxed{ \ f^{-1}(x)=\dfrac{x-2}{5}\ }[/tex]
Step 3 - Find the inverse of g(x)
We already found that the inverse of f is g, so the inverse of g is f.
Let's do it again.
[tex]g(x)=y=\dfrac{x-2}{5} \ \ \text{ switch x and y } \\ \\ x= \dfrac{y-2}{5} \ \ \text{ solve for y }\\ \\ y-2=5x \ \ \text{ mulitply by 5 both parts of the equation } \\ \\ y = 5x+2 \ \ \text{ add 2 to both parts of the equation }[/tex]
And we found what we already known, meaning f is the inverse of g.
[tex](gof)(x)=(fog)(x)=x[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answers and Step-by-step explanation:
Step 1:
We want to find the variable that ff(x) represents. Well, we know it can't be x because we already have x on the other side of the equation: ff(x) = 5x + 2.
So, ff(x) must equal y.
Since ff(x) = y, we know then that ff(x) = y = 5x + 2. And our equation is:
y = 5x + 2
Step 2:
Let's switch the variables now. This means that what used to be y will be x and what used to be x will be y:
y = 5x + 2 ⇒ x = 5y + 2
Subtract 2 from both sides:
5y = x - 2
Divide by 5 from both sides:
y = (x - 2)/5
Step 3:
Let's find the inverse of g(x) by doing the exact same thing as we did with ff(x):
g(x) = y = (x - 2)/5
Switch the variables:
y = (x - 2)/5 ⇒ x = (y - 2)/5
Multiply by 5 on both sides:
5x = y - 2
Add 2 to both sides:
y = 5x + 2
Notice that this is the exact same as ff(x)! This means that ff(x) and g(x) are inverses.
A school librarian can buy books at a 20% discount from the list price. One month she spent $72 for books. What was the list price value of the books? Is the answer $90?
Answer:
[tex]\boxed{\sf \ \ YES \ \ }[/tex]
Step-by-step explanation:
Hello
let's say that the price of the book was x
the price after a 20% discount is x - 20%*x = x*(1-20%)=x*(1-.20)=0.8*x
and this is $72 so we can write that
0.8*x=72
and then divide by 0.8 both parts
x = 72/0.8=90
So the list price value of the book is $90
and we can verify as 90 - 20%*90 = 90 - 18 = 72
Hope this helps