The bookstore pays the publisher $27 for each book thus making a profit of 30%.
The profit is defined as the difference between the sell price and the cost price.
The sell price is defined as the price at which an object is sold.
The cost price is defined as the price at which an object is bought.
When the sell price is greater than the cost price profit is made by the seller.
Let the cost price (price paid to publisher) be x dollars.
Therefore when sold at a profit of 30% then
profit= 30%of x=0.3x dollars
Now the sell price = cost price +profit
∴Sell price= x+0.3x=1.3x
But the sell price is given as $35.10
So we can equate the two terms to get a linear equation in x.
∴1.3x=35.10
or, x=35.10÷1.3
or, x=27
Therefore the cost price is $27.
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-. A large oil painting is 4 feet longer than its height. There is a wooden frame around the painting
that is 12 inches wide. The area of the picture and frame together is 165 ft². Find the dimensions
of the painting. (Hint: Draw a diagram)
The height of the painting = x = 9.355 feet
The length of the painting = (x + 4) = (9.355 + 4) = 13.355 feet
Given,
The height of the painting = x feet
The length of the painting = (x + 4) feet
The width of the wooden frame = 12 inches = 1 foot
The area of the picture and frame together = 165 feet²
We have to find the dimensions of the painting:
Area of wooden frame:
2(x + 6) + x = 2x + 12 + x = 3x + 12 feet²
Area of painting:
(x + 4) x = x² + 4x
Area of picture and frame together = Area of wooden frame + Area of painting
165 = 3x + 12 + x² + 4x
165 = 7x + 12 + x²
x² + 7x + 12 -165 = 0
x² + 7x - 153 = 0
By using Quadratic equation find x.
[tex]\frac{-b(+-)\sqrt{b^{2} -4ac} }{2a}[/tex]
= [tex]\frac{-7(+-)\sqrt{7^{2} -4(-153)} }{2}[/tex] = [tex]\frac{-7(+-)\sqrt{49+612} }{2}[/tex] = [tex]\frac{-7(+-)\sqrt{661} }{2}[/tex] = [tex]\frac{-7(+-)25.71}{2}[/tex]
Now,
[tex]\frac{-7+25.71}{2}[/tex] = [tex]\frac{18.71}{2}[/tex] = 9.355
Next,
[tex]\frac{-7-25.71}{2}[/tex] = [tex]\frac{-32.71}{2}[/tex] = -16.355
Dimensions should never be negative value. So, take x as 9.355.
Therefore,
The height of the painting = x = 9.355 feet
The length of the painting = (x + 4) = (9.355 + 4) = 13.355 feet
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Solve the equation. 5-2x/3 +1 -3x-2/5=-x
Answer: x = 21/10
............................................................................................................................
2000mg = ____ g what is the answer
Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes’ rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3.
a) The degree of the polynomial function is 4
b) The positive real zeros does the function have are 3
a. The degree of the polynomial is equal to the sum of the real and complex zeros. There are four total zeros in the sum (1 negative real) + 3 positive real/complex). The polynomial has a degree of 4.
The solution to part b and the end-behavior, which tends to - for |x|, both support the even degree.
b. The intermediate value theorem informs you that, given the numbers in the table, there will be zeros in the intervals (0, 1), (1, 2), and (2, 3). Within certain time periods, the function's sign changes. Thus, there are three genuine positive zeros.
By examining the table of function values, Stanley is unable to infer anything about Descartes' rule of signs.
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Complete question -Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes’ rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3.
X , f(x)
-2, -105
-1, 0
0, 5
1, -2
2, 3
3, -20
4, -175
a. What is the degree of the polynomial function? How can you tell?
b. How many positive real zeros does the function have? How can you tell?
what is unique about the plants that grow in the Mediterranean brush?
Step-by-step explanation:
The Mediterranean vegetation is dominated by evergreen shrubs and sclerophyllous trees adapted to the distinctive climatic regime of summer drought and cool moist winters with only sporadic frost.
1. Find the domain and range of the function shown in the table.
X
y
-2
-1
5.5
0
4
3.5
0
4
-1
5.5
-1
8
-3.5
Domain of the function: {-2, -1, 0, 3.5, 4, 5.5, 8}
Range of the function: {-3.5, -1, 0, 4, 5.5, 6}
What is the Domain of a Function?In a relation which represents a function, all the x-values of the relation make up the domain of the function. That means the the elements of the domain of the function consists of all set of x-values.
What is the Range of a Function?On the other hand, all the corresponding y-values of the relation make up the range of the function. This implies that, the elements of the range of the function consists of all set of y-values.
The domain of the function is therefore: {-2, -1, 0, 3.5, 4, 5.5, 8}
The range of the function is therefore: {-3.5, -1, 0, 4, 5.5, 6}
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One of the planet Saturn's rings has a diameter of approximately 2.5 × 105
kilometers. What is the diameter of the ring, in kilometers, written in standard
notation?
A.
2,500
B.
25,000
C. 250,000
D. 2,500,000
Answer:
its b
Step-by-step explanation:
cause i said so
Simplify it 2x-[y+{y-(x+2y)}]
3x
Step-by-step explanation:
2x-[y+{y-(x+2y)}]
2x-[y+y-x-2y]
2x-y-y+x+2y
2x-2y+x+2y
2x+x
= 3x
Find the distance between the point (-5,4) and the origin. Enter the distance as a radical or a decimal rounded to the four decimal place.
Answer:
6.4031
Step-by-step explanation:
The total bill at a restaurant was $42.50. If you want to tip the waitress 15%, how much tip should you leave? A. $6.38
B. $6.37
C. $63.75
D. $637.50
After spending0.6 of her money,Andina had RS 60 left . How much money had she first ?
Answer:
Step-by-step explanation:
If you use pre-tax dollars, then it lowers your taxable income now and most likely when you retire, your income will be lower, so you'll pay a lower tax rate then.
Answer: D
can someone help me in 5 and 6?
Answer:
5. b = 3 m = 2
6. b = 5 m = 1/2
Step-by-step explanation:
Remember that the y-intercept is the y value when x = 0Remember slope formula (attached). You can pick any two points.5. Y-Intercept = 3
Slope = (13-3)/(5-0) = 10/5 = 2
6. Y-intercept 5
Slope = (6-5) / (2-0) = 1/2
1. How many whole numbers between 1 and 20 is divisible by 2? by4? by 6?
2. How many whole numbers between 1 and 100that are not divisible by 3? or by 11?
3. Fill the empty boxes to show the largest possible value of _ 8 9 4 9 _
4. which of the following numbers in the set is is divisible by 12? {256, 519, 822}
5. which of the following numbers in the set is divisinle by? {4256, 5225, 6336, 8119}
6. write down any 3-digit number, Repeat the 3 digits to make 6-digit number.
Divide the 6-digit number by 13 , divide again by 11. Lastly,divide the quotient from the second divisiion by 7. What did you get? Explain.
7.Find the value represent by _ in the 6 digit number, 458,___ Such that this number is the smallest divisible 3, 4, and 5.
Answer:
divisible by 2
2,4,6,
8,10,12,14,16,18,20
divisible by4
4,8,13,16,20
divisible by 6
6,12,
15. m 16. m 17. m 18. m 19. m 20. m
Answer:
15. 125
16. 160
17. 110
18. 150
19. 35
20. 80
Step-by-step explanation:
This should work, if not, well sorry
Let f(x)=−8x+8-6x2 Then the expression hf(x+h)−f(x) can be written in the form Ah+Bx+C, where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants.
Answer:
Hello,
Step-by-step explanation:
[tex]f(x)=-6x^2-8x+8\\\\f(x+h)=-6(x+h)^2-8(x+h)+8-(-6x^2-8x+8)\\=-12xh-6h^2-8h\\=h(-6h-12x-8)\\\\A=-6\\B=-12\\C=-8\\[/tex]
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the financial statements for December 20XX. Now, it is time to make the closing entries.
We will close the expense accounts second: what dollar amount will I enter for the Income Summary account? Specify as a whole number.
The dollar amount for the Income Summary account for expenses in making the closing entries is $60,360.
What are closing entries?Closing entries are the end-of-the-period journal entries made to transfer the temporary accounts to the Income Summary.
The closing entries are:
Revenue to income summaryExpenses to income summaryIncome summary (net income or loss) to retained earningsDividends to retained earnings.How will the closing entry be for expenses?The closing entry for expenses will be as follows:
Debit Income Summary $60,360
Credit:
Salaries Expense: 32,800
Rent Expense: 16,800
Depreciation expense - office equipment: 3,960
Advertising expense: 4,000
Office supplies expense: 2,800
To close the expenses to the Income Summary account.Data and Calculations:Salaries Expense: 32,800
Rent Expense: 16,800
Depreciation expense - office equipment: 3,960
Advertising expense: 4,000
Office supplies expense: 2,800
Total expenses = $60,360
Thus, the dollar amount for the Income Summary account for expenses in making the closing entries is $60,360.
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How can i solve this 47kg (5m/s^2)
Answer:
Is this the complete problem?
Step-by-step explanation:
For what value of k will the three points (1,8), (2,11), and (3,k) be on the same line?
The value of k for which the three points (1,8), (2,11), and (3,k) be on the same line will be on the same line is 14.
What is a slope ?The slope is the rate of change.It can also be defined as the rise over run.
According to the given question for what value of k will the three points (1,8), (2,11), and (3,k) be on the same line.
If three three points are on the same line they are co-linear and the slope of the points (1,8), (2,11) and (2,11), (3,k) will be same.
∴ (11-8)/(2-1) = (k-11)/(3/2)
11-8 = k - 11
k = 11 + 11 - 8
k = 22 - 8
k = 14.
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write the equation of the line in slope-intercept from that passes through the given points. (3/8, 0)and (5/8, 1/2)
The equation of line slope-intercept from is obtained as y = 2x - 3/4.
What is defined as the slope-intercept from?An intercept is a y-axis point whereby the slope of a line passes. It is the y-coordinate of a point on the y-axis in which a straight line or a curve intersects. This is represented by the equation for a straight line, y = mx + c, in which m is the slope as well as c is the y-intercept.The slope of the line is calculated by the formula;
m = (y₂ - y₁)(x₂ - x₁)
The coordinates of points are-
Where, (x₁, y₁) = (3/8, 0), and
(x₂, y₂) = (5/8, 1/2)
Put the values in slope;
m = (1/2 - 0)/(5/8 - 3/8)
m = (1/2)/(2/8)
m = 2
Put the the values in the standard form of equation;
(y - y₁) = m(x -x₁)
(y - 0) = 2(x - 3/8)
Simplifying;
y = 2x - 3/4
Thus, the equation of line slope-intercept from is obtained as y = 2x - 3/4.
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Write the equation of the line in point-slope form that passes through the points
(
−
8
,
2
)
and
(
6
,
8
)
.
Answer:
y -2 = 3/7(x +8)
Step-by-step explanation:
You want a point-slope equation of the line through points (-8, 2) and (6, 8).
SlopeThe slope of the line is given by the formula ...
m = (y2 -y1)/(x2 -x1) . . . . . . where (x1, y1) and (x2, y2) are points on the line
Using the given points, we find the slope to be ...
m = (8 -2)/(6 -(-8)) = 6/14 = 3/7
Point-slope equationThe equation of a line with slope m through point (h, k) is written in point-slope form as ...
y -k = m(x -h)
Here, we have m=3/7, and (h, k) = (-8, 2). This means the equation of the line is ...
y -2 = 3/7(x +8)
the curve with equation y=ax^2+bx+c passes through (0,-1) and has a stationary point of (2,-9). find the values of a, b and c
Answer:
Step-by-step explanation:
[tex]F(x)=ax^{2} +bx+c[/tex]when we derivate the original general equationwe get[tex]F'(x)=2ax+x[/tex]For a stationary point we know that the gradient m which in this point is expressed by F'(x) is equal to 0 in the given x coordinate of the stationary point mathematically ⇒F'(2)=0When we plug in the x coordinate in our derived equation we have[tex]2a(2)+2=0\\4a+2=0\\4a=2\\\frac{4a}{4} =\frac{2}{4} \\a=\frac{1}{2}[/tex]Therefore we can plug in the value of a we have got in the original equation.[tex]F(x)=\frac{1}{2} x^{2} +bx+c\\[/tex]We have two unknowns in the equation with two points in the function we can use to get the unknowns b and cIn the F(0)=-1[tex]-1=\frac{1}{2} (0)^{2} +b(0)+c\\c=0[/tex]But if we are to check carefully we know that c is the y-intercept wherein x=0 and we already had the point so there was no point of calculating it.
To get the value of b now substitute/plug in the other point (2,-9) in the equation[tex]F(x)=\frac{1}{2} x^{2} +bx\\c=0 \\F(2)=-9\\-9=\frac{1}{2}(2)^{2} +b(2)\\ -9=2+2b\\-9-2=2b\\-11=2b\\b=\frac{-11}{2}[/tex]Triangle BCD has the following side lengths: BC = 60, CD = 50
Triangle RST has the following side lengths: RS: 11x-4, ST = 70
What is the value of x?
What is the length of side RS?
The value of x is 11 and the length of side RS is 117
How to determine the value of x?The given parameters are
BC = 60 and CD = 50
RS = 11x - 4 and ST = 70
Express as a ratio
BC : CD = RS : ST
So, we have
60 : 50 = 11x - 4 : 70
Express as fraction
60/50 = (11x - 4)/70
Cross multiply
50 * (11x - 4) = 70 * 60
Divide both sides by 50
11x - 4 = 84
This gives
11x = 88
Divide
x = 11
Substitute x = 11 in RS = 11x - 4
RS = 11 x 11 - 4
Evaluate
RS = 117
Hence, the value of x is 11 and the length of side RS is 117
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To factory plants are making TV panels, yesterday plan a produce 9000 panels. 3% of the panels from plan an and 10%.to factory plants are making TV panels, yesterday plan a produce 9000 panels. 3% of the panels from plan a and 10% of the panels from Plant be were defective how many panels dead plant be produced if overall percentage of the defective panels from two plants what’s 7%?
The number of panels from plant B that were produced if the overall percentage of the defective panels from two planet were 7% is 9000 panels.
How to Solve Algebra Word Problems?
We are given;
Number of TV panels to be produced = 9000 panels
Percentage of panels from plan A that were defective = 3%
Percentage of panels from plan B that were defective = 10%
Let n represent the number of panels from plant B.
Thus, we can write the algebraic equation as:
0.1(9000) + 0.03(n) = 0.07(9000 + n)
900 + 0.03n = 540 + 0.07n
900 - 540 = 0.07n - 0.03n
0.04n = 360
n = 360/0.04
n = 9000 panels
The number of panels from plant B that were produced if the overall percentage of the defective panels from two planet were 7% is 9000 panels.
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Can anyone help me with #65?
Answer:
X = 73.448
Step-by-step explanation:
First you have to multiply 1.645 by 2.4 to get rid of 2.4 on the right side of the equation. Then you should have 3.948 = x - 69.5. After that all you have to do is add 69.5 to 3.948 then you have x.
HELP ASAPPP PLEASEEEEE
Answer:
Step-by-step explanation:
x/2 + y/3=1. -. 1)
x/3 + y/2=1. - 2)
Is 3/4 ÷ 1/2 the same as 1/2 ÷ 3/4?
Answer:
I believe it is false
Step-by-step explanation:
NEED HELP ASAP!!! will give brian list!
Answer:
a. 28/143
b. 40/143
Step-by-step explanation:
For both parts, we assume that the teas are selected without replacement. So we start with 13 teas. After one is selected, we have 12 teas left, and then after one more is selected, we have 11 teas left.
a. If all three are sweet:
[tex] \frac{8}{13} \times \frac{7}{12} \times \frac{6}{11} = \frac{28}{143} [/tex]
b. If exactly one is sweet:
First one sweet, next two unsweet:
[tex] \frac{8}{13} \times \frac{5}{12} \times \frac{4}{11} = \frac{40}{429} [/tex]
First one unsweet, second one sweet,
third one unsweet:
[tex] \ \frac{5}{13} \times \frac{8}{12} \times \frac{4}{11} = \frac{40}{429} [/tex]
First two unsweet, third one sweet:
[tex] \frac{5}{13} \times \frac{4}{12} \times \frac{8}{11} = \frac{40}{429} [/tex]
Adding these probabilities, we have
[tex] \frac{120}{429} = \frac{40}{143} [/tex]
Could someone help me? I am confused and I am in need of some help. Please help me find the answer and graph it. Thank you to all answers!
Answer:
The wrong side of the number line is shaded.
[tex]5\leq x[/tex]
Step-by-step explanation:
[tex]5\leq x[/tex] in this equation, x is greater than or equal to 5. That means the number line should be going to the numbers that are greater than 5.
May I ask what type of graph you need?
In triangle ABC,
m
M
M
M
Answer:
In a triangle all angles add up to make 180 degrees. If a triangle is equal like this one, Δ, then all angles equal 60 degrees.
Step-by-step explanation:
If this is incorrect, then explain what you want more precisely.
part 1 of 2
Video games cost $20 each. The video store
is running a special of 2 games for $33.
What is the cost per game under the spe-
cial?
Answer in units of dollars/game.
part 2 of 2
How much do you save per game?
Answer in units of dollars/game.
Answer: C i took the test
" If you buy a new cell phone, your opportunity cost is the time you could spend talking on the phone."
Step-by-step explanation:
I took the test and got an A hope this helps.
