Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an Internet website for $330, making a profit of $1.50 on each one. How many comic books were in the box
Answers
Answer:
Number of comic books is 75.
Original price of each comic book is 4$.
Step-by-step explanation:
There were 75 comics in the box originally.
What is an equation?An equation is the statement of equality between two expressions consisting of variables and/or numbers.
Given that, Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an internet website for $330, making a profit of $1.50 on each one.
Let x be the number of comics originally
(x - 15) is the number of comics sold.
Original price of each comic = 300/x
Price of comics which she gave to brother = 15*300/x
Original price of all the books that has been sold = 300 - 15*300/x
Tayla's profit = 330 - (300 - 15*300/x) = 30 + 15*300/x
Number of comics sold = (30 + 15*300/x)/1.5
Equation will be,
(30 + 15*300/x)/1.5 = x - 15
20 + 3000/x = x - 15
(x² - 15x - 3000)/x = 20
x² - 35x - 3000 = 0
On factorizing the quadratic equation, we get,
x = 75 or -40 (Neglecting -40, because number of books can't be negative)
Hence, there were 75 comic books in the box originally.
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Related Questions
Kipton puts one marshmallow on the scale and it weighs 7.2 grams. How much would 10 marshmallows weigh?
Answers
Answer:
72 grams
Step-by-step explanation:
7.2 x 10 = 72
can you answer for angle T
Answers
Therefore
The adjacent of angle T is 24, Adjacent means the one next to
The hypotenuse in this problem is always 25, the long side
So it will be 24/25
Hope this helps!!
Decide if the following situation is a unit rate or not why or why not?
You score 12 points in one basketball game.
Answers
Answer:
Yes, because in 1 game you scored 12 points you didn't score multiple points in multiple games.
10.
Identify the vertex of the parabola.
A. (−1, 0)
B. (0, −1)
C. (1, 0)
D. (0, 1)
Answers
Answer:
C. (1, 0)
Step-by-step explanation:
1,0 should be the vertex for this parabola
1,0 should be the correct answer
group of 3 people is going on a boat tour. If each boat holds 3 people, how many will boats will the group need?
Answers
Answer:
1
Step-by-step explanation:
there are 3 people and 1 boat holds three people
12÷5/2=
Tell the answer quick!!
Answers
Answer:
4.8
Step-by-step explanation:
Answer:
4.8
Step-by-step explanation:
mark braineist pls
Find the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20
Answers
Answer:
1/3 + 1/12 = 5/12
Step-by-step explanation:
Take a look on the picture
There are the solutions
to get the correct answer
Hope it helps
#LetsStudy
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20 is 5/12.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of 3/5 and 5/9 is,
Product = 3/5 × 5/9
= (3×5)/(5×9)
= 15 / 45
= 1/3
The product of 5/9 and 3/20 is,
Product = 5/9 × 3/20
= (5×3)/(9×20)
= 15 / 180
= 1/12
Now, the sum of the two products can be done as shown below,
Sum = 1/3 + 1/12
= 4/12 + 1/12
= (4+1)/12
= 5/12
Hence, the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20 is 5/12.
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Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 1hr 50 min. Amanda comes in second with a time of 2hr 42 min. Bryce finishes last with a time of 3hr 16 min. Find the distance (in mi) for each part of the race.
Answers
The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.
Each racer travels the same distance and the sum of the distances travelled ([tex]x[/tex]), in miles. By definition of average speed ([tex]v[/tex]), in miles per hour, we get the following system of equations:
Amanda
[tex]t_{A} = \frac{x_{R}}{v_{A, R}}+\frac{x_{S}}{v_{A,S}}+\frac{x_{C}}{v_{A,C}}[/tex] (1)
Where:
[tex]x_{R}[/tex] - Running distance, in miles.[tex]x_{S}[/tex] - Swimming distance, in miles.[tex]x_{C}[/tex] - Cycling distance, in miles. [tex]v_{A,R}[/tex] - Speed of Amanda in the running distance, in miles per hour.[tex]v_{A,S}[/tex] - Speed of Amanda in the swimming distance, in miles per hour.[tex]v_{A,C}[/tex] - Speed of Amanda in the cycling distance, in miles per hour.[tex]t_{A}[/tex] - Total time of Amanda, in hours.Bryce
[tex]t_{B} = \frac{x_{R}}{v_{B, R}}+\frac{x_{S}}{v_{B,S}}+\frac{x_{C}}{v_{B,C}}[/tex] (2)
Where:
[tex]v_{B,R}[/tex] - Speed of Bryce in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Bryce in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Bryce in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Bryce, in hours.Corey
[tex]t_{C} = \frac{x_{R}}{v_{C, R}}+\frac{x_{S}}{v_{C,S}}+\frac{x_{C}}{v_{C,C}}[/tex] (3)
Where:
[tex]v_{B,R}[/tex] - Speed of Corey in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Corey in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Corey in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Corey, in hours.If we know that [tex]t_{A} = 2.7\,h[/tex], [tex]v_{A,R} = 10\,\frac{mi}{h}[/tex], [tex]v_{A,S} = 4\,\frac{mi}{h}[/tex], [tex]v_{A, C} = 20\,\frac{mi}{h}[/tex], [tex]t_{B} = 3.27\,h[/tex], [tex]v_{B,R} = 7.5\,\frac{mi}{h}[/tex], [tex]v_{B,S} = 6\,\frac{mi}{h}[/tex], [tex]v_{B,C} = 15\,\frac{mi}{h}[/tex], [tex]t_{C} = 1.833\,h[/tex], [tex]v_{C,R} = 15\,\frac{mi}{h}[/tex], [tex]v_{C,S} = 3\,\frac{mi}{h}[/tex] and [tex]v_{C,C} = 40\,\frac{mi}{h}[/tex], then the solution of the linear system of equations is:
[tex]\frac{x_{R}}{10} + \frac{x_{S}}{4} + \frac{x_{C}}{20} = 2.7[/tex] (4)
[tex]\frac{x_{B}}{7.5}+\frac{x_{S}}{6} +\frac{x_{C}}{15} = 3.27[/tex] (5)
[tex]\frac{x_{R}}{15}+\frac{x_{S}}{3} +\frac{x_{C}}{40} = 1.833[/tex] (6)
[tex]x_{R} = 4.23\,mi[/tex], [tex]x_{S} = 1.98\,mi[/tex], [tex]x_{C} = 35.64\,mi[/tex]
The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.
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Given that rectangle ABCD has coordinates A(0,0), B(12,0), C(12,6), and D(0,6), F is the midpoint of AB¯¯¯¯¯, and G is the midpoint of CD¯¯¯¯¯, which of the following proves that FB=GC?
1. By the Distance Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 12, and GC = 12.
Thus FB = GC.
2. By the Distance Formula, the coordinates of F are (6, 12) and the coordinates of G are (6, 0).
Then FG = 6, and GC = 6.
Thus FG = GC.
3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 6, and GC = 6.
Thus FB = GC.
4. By the Midpoint Formula, the coordinates of F are (6, 6) and the coordinates of G are (6, 0).
Then FB = 6, and GC = 6.
Thus FB = GC.
Answers
The midpoint of the sides [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are the points that half way between [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] respectively.
The option that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3
3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]Reasons:
The given coordinates of the vertices of rectangle ABCD are;
A(0, 0), B(12, 0), C(12, 6), and D(0, 6)
The midpoint of side [tex]\overline{AB}[/tex] = Point F
The midpoint of side [tex]\overline{CD}[/tex] = Point F
The coordinates of point F is given by the midpoint formula, as follows;
[tex]\displaystyle \mathrm{The \ midpoint \ of \ a \ line \ with \ endpoints \ (x_1, \ y_1) \ and \ (x_2, \ y_2) = \mathbf{ \left(\frac{x_1 + x_2}{2}, \ \frac{y_1 + y_2}{2} \right) }}[/tex]
Which gives;
[tex]\displaystyle \mathrm{The \ coordinate \ of \ F \ the \ midpoint \ of \ \overline{AB} = \mathbf{ \left(\frac{0 + 12}{2}, \ \frac{0 + 0}{2} \right)} =(6,\ 0)}[/tex]
The coordinates of point F = [tex]\underline{(6, \ 0)}[/tex][tex]\displaystyle \mathrm{The \ coordinate \ of \ G \ the \ midpoint \ of \ \overline{CD} = \left(\frac{12 + 0}{2}, \ \frac{6 + 6}{2} \right) =(6,\ 6)}[/tex]
The coordinates of point G = [tex]\underline{(6, \ 6)}[/tex][tex]\overline{FB}[/tex] is parallel to the x-axis, therefore;
The length of [tex]\overline{FB}[/tex] = 12 - 6 = 6Similarly, [tex]\overline{GC}[/tex] is parallel to the x-axis, therefore;
The length of [tex]\overline{GC}[/tex] = 12 - 6 = 6Which gives;
[tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] = 6The correct option is that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3.
By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]
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Donna cut away 7.75 meters of rope. Before that, she had 12 meters of rope. How much rope does Donna have left?
Answers
Answer: 4.25 meters of rope
Step-by-step explanation:
Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.
Hope it helps :) and let me know if you want me to elaborate.
Geometry- what is O? show work/explain please.
Answers
Answer:
Step-by-step explanation:
For any line, if you draw two right triangles using the line as the hypotenuse, do the triangles have to be similar? Why or why not?
Answers
Answer:
YesStep-by-step explanation:
If the same line holds the hypotenuse of two right triangles, both of the triangles are similar.
This is because they have same ratio of corresponding sides.
Yes .
Let's check your graph
In ∆ADE and ∆ABC
AD~BC(Parallel to y axis or y axis)AE~EC(Passing through origin and same vertice A)AB~DE(Translation by 2)Hence both triangles are similar
Create a shape with an area of 0.8 m2 and a perimeter close to 400 cm
Answers
The dimension of the shape is approximately 1.45 meters by 0.55 meters
Assume the shape is a rectangle, that has the following dimensions.
Length = x
Width = y
So, the area is:
Area = xy
The perimeter is
Perimeter = 2(x + y)
Substitute known values
[tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{2(x+y) = 400cm}[/tex]
Express cm as m
[tex]\mathbf{2(x+y) = 4m}[/tex]
Divide through by 2
[tex]\mathbf{x+y = 2m}[/tex]
Make x the subject (ignore the units)
[tex]\mathbf{x= 2 - y}[/tex]
Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{(2-y)y = 0.8}[/tex]
Open brackets
[tex]\mathbf{2y-y^2 = 0.8}[/tex]
Rewrite as:
[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{y \approx (0.55,1.45)}[/tex]
Recall that:
[tex]\mathbf{x= 2 - y}[/tex]
So, we have:
[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]
[tex]\mathbf{x \approx (1.45,0.55)}[/tex]
Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters
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A jar contains 35 coins made up of 20c and 50c coins only. Then total value of the coins is
$13.90.
(I) If there were x 20c coins, write an equation in x for the number of 50c coins.
(ii) Using the given information, write an equation in terms of x for the total sum of money
the jar holds.
(iii) Solve the equation to find the number of each type of coin in the jar.
Answers
There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.
Let x represent the number of 20 cent ($0.2) coins
i) Since there are 35 coins in total:
Number of 50 cent coins = 35 - x
ii) The total value of the coins is $13.90. Hence:
0.2x + 0.5(35 - x) = 13.90
iii) 0.2x + 17.5 - 0.5x = 13.90
0.3x = 3.6
x = 12
Number of 50 cent coin = 35 - x = 35 - 12 = 23
Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.
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Javad had a mix of yellow and red jelly beans are shown on the graph if there are 42 jelly beans in his bag how many are red?
Answers
Answer:
there is no graph though
34.16 divided by 2 step by step ?
Answers
Answer:
17.08
Step-by-step explanation:
Basically, this is half of 34.16, which is 17.08.
Hoped this helped.
Answer:
427/25
Step-by-step explanation:
Change to percentage: 3416/100
Simplify: 854/25
854/25 dived by 2/1 (same thing as 2)
KEEP, CHANGE, FLIP
854/25 x 1/2= 427/25
Which number is both a factor AND a multiple of 4? 1,2,4,8
Answers
Answer:
1,2,4,
Step-by-step explanation:
Can somebody help ????
Answers
Answer:
Answer is 4, explained answer in the comments because I didn't see the answer button, but now I do.
cuanto es "y=2x + 5" ??
Answers
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(2*x+5)=0
STEP1:
Equation of a Straight Line
1.1 Solve y-2x-5 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000
x-intercept = 5/-2 = -2.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 4.000/2.000 = 2.000
Geometric figure: Straight Line
Slope = 4.000/2.000 = 2.000 x-intercept = 5/-2 = -2.50000 y-intercept = 5/1 = 5.00000Bob bought 2Ibs of apples for $6. Explain how to find the unit rate and give the meaning of unit rate
Answers
Answer:
Unit rate is 3
Step-by-step explanation:
The unit rate means the value of ONE unit.
In this case, it would be the value of ONE pound of apples.
I divided 6 by 2, which gave me THREE.
PLEEEAASSEEE HELP
Find the constant of proportionality and write an equation for the following proportional relationship.
You can buy 14 apples for $28.
Use a to represent number of apples and c to represent the cost
Answers
Answers:
constant of proportionality: 2equation is: c = 2a==================================================
Explanation:
a = number of apples purchased
c = cost in dollars
The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).
To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.
We'll update the equation from c = ka to c = 2a
Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.
Answer:
c=2a
Step-by-step explanation:
c=2a
What is an equation of the line that passes through the points (2, -7)(2,−7) and (2, -2)(2,−2)
Answers
Answer:
X = 2
Step-by-step explanation:
Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0
The line is vertical (undefined
72% of 25 students are interested in mathematics how many are not interested in mathematics by moderators.
Answers
Answer:
7 students
Step-by-step explanation:
72/100 × 25 students = 18
18 students are interested in mathematics
therefore, 25 - 18 = 7 students are not interested
I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS (TRUTHFULLY) !!NO LINKS!!
Answers
Step-by-step explanation:
SAS ================
What it says:
If two sides and the angle between them on one triangle are congruent to the corresponding two sides and the angle between them on the other, the triangles are congruent.
Required information:
Two sets of congruent sides with a congruent angle between them
ASA ================
What it says:
If one side and both connected angles on one triangle are congruent to one side and both connected angles on the other, the triangles are congruent.
Required information:
One set of congruent sides with two sets of congruent angles on the sides
AAS ==================
What it says:
If two angles and the non-included side on one triangle are congruent to two angles and the non-included side on the other, the triangles are congruent.
Required information:
Two sets of congruent angles and one set of congruent non-included sides
HL =================
What it says:
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg on the other, the triangles are congruent.
Required information:
Congruent hypotenuse and congruent leg
QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
a) 19%
b) 23%
C) 81%
Submit
Answers
From the information given, the percentage increase in the price bid over the cost will be 23%.
Cost on the product = $112.
Amount bid = $138
Therefore, the Percentage increase will be:
= (138 - 112) / 112 × 100
= 26/112 × 100
= 23%
Therefore, from the calculation above, it can be seen that the percentage increase in the price bid over the cost will be 23%.
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plss help me po!!
what is the measure of OS if MO = 6, OE =4 and OR=3?
a. 13
b. 8
c. 7.5
d. 7
explain your answer
see the attachment
need properly answer
nonsense answer will be reported
excellent answer will get brainlist and follow
#nospam
#nolinks
[tex] \: \: \: \: \: \: \: [/tex]
Answers
Answer:
B. 8Step-by-step explanation:
Intersecting chords theorem:
OS * OR = OM * OESubstitute values and solve for OS:
OS * 3 = 6 * 43OS = 24OS = 24/3OS = 8Correct choice is B
What is 0.4184 in standard form
Answers
Answer:4.184*10^-1
Step-by-step explanation: in standard form or scientific notation
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answers
Answer:
9.09
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When looking at the triangle we see that we have the hypotenuse and the opposite side.
a = opposite
b = adjacent
c = hypotenuse (always)
So if we plug those numbers into the equation we can get the missing side length
1) a² + b² = c²
2) 9.7² + b² = 13.3²
3) b² = 13.3² - 9.7²
4) b² = 176.89 - 94.09
5) b = [tex]\sqrt{176.89 - 94.09}[/tex]
6) b = 9.093954036
Now we round to nearest hundredth
To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,
b = 9.09
[tex] \: \: \: [/tex]
help me po
1.) if mHO =150° and mPO =80° what is the m∠HEO?
2.) if mMT =140° and mMHT =220° find m∠ MAT
answer 3-4 only
need properly answer
right answer= brainlist follow and thanks
nonsense answer will be reported
Answers
Answer:
b. secantc. 45°d. 35°d. 40°Step-by-step explanation:
1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."
__
2. The angle where chords cross is the average of the intercepted arcs:
(50° +40°)/2 = 45° . . . . measure of angle CSA
__
3. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(150° -80°)/2 = 35° . . . . measure of angle HEO
__
4. The angle where secants or tangents meet is half the difference of the intercepted arcs.
(220° -140°)/2 = 40° . . . . measure of angle MAT
Please note that this is the supplement of arc MT between the tangents.
Answer:
The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.
Neuron Function: Food Preservation
Fertilizer Meaning: Exocrine Glands
Food Chain Examples: Cell Biology
Step-by-step explanation:
yo kya haal hai
5. The function f(x) is shown in this graph.
The function g(x) = -3x - 1. Compare the slopes by writing "less than, "greater than," or "equal to" in the blank.
The slope of f(x) is ______ the slope of g(x).
Answers
Answer:
The slope of f(x) is greater than the slope of g(x)
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