Answer:
The selling price is: [tex]\$77,520[/tex]
Step-by-step explanation:
Step 1: Identify the profit made
A profit of 14% is made on the article.
This means that the article was sold at a price that had 14% of its original price added to it.
The 14% of the original price is:
[tex]14\% \times 68000\\=\frac{14}{100}\times 68000\\\\\text{Calculate the value}\\\frac{14}{100}\times 68000\\=9520[/tex]
So, a profit of $9520 was made
Step 2: Calculate the selling price
The selling price will be the sum of the original price and the profit.
The selling price is:
[tex]68000+9520\\=77520[/tex]
What’s the answer plsss
Answer:
8.5 cm
Step-by-step explanation:
See attached worksheet.
Opposite 63 is ML (we are not after that)
Adjacent is MN
Hypotenuse is 18.8
Choose adjacent + Hypotenuse to find MN
AH - CAH, cos
Cos63 = A/18.8
x18. 8
18.8 x Cos63 = A
8.535.... = A
So, MN = 8.5cm
Ans: C
Hope this helps!
Jasmine, multiply your age by 3 and add 6. Thenmultiply this sum by 2. James, multiply your age by 2and add 4. Then multiply this sum by 3. I predict youwill both get the same number!») B. Choose 4 whole numbers for the twins' age and test eachexpression. Make a table to show the numbers you tried and theresults.
Same age
See explanation below
Explanation:Let the age of Jasmine = y
Multiplying Jasmine age by 3 and adding 6:
= (y × 3) + 6
= 3y + 6
Multiplyng the sum by 2:
2 × the sum = 2 × (3y + 6)
= 6y + 12
Let James age = z
Multiplying the age by 2 and adding 4:
James age × 2 = z × 2 = 2z
adding 4 = 2z + 4
Multiplying the sum y 3:
3 × the sum = 3 × (2z + 4)
= 6z + 12
Now since they are twins, they ae most likely same age
This means:
6y + 12 = 6z + 12
subtracting 12 from both sides:
6y = 6z
dividing both sides by 6:
y = z
Hence, Jasmine age is the same as James age
B) The expression for Jasmine = 2(3y + 6) = 6y + 12
The expression for James = 3(2z + 4) = 6z + 12
let the twin's age = 2, 3, 4, 5
when twin's age = 2
6y + 12 = 6(2) + 12 = 12 + 12 = 24
6z + 12 = 6(2) + 12 = 12 + 12 = 24
when twin's age = 3
6y + 12 = 6(3) + 12 = 18 + 12 = 30
6z + 12 = 6(3) + 12 = 18 + 12 = 30
when twin's age = 4
6y + 12 = 6(4) + 12 = 24 + 12 = 36
6z + 12 = 6(4) + 12 = 24 + 12 = 36
when twin's age = 5
6y + 12 = 6(5) + 12 = 30 + 12 = 42
6z + 12 = 6(5) + 12 = 30 + 12 = 42
Plotting the table:
The width of a classroom is 4m less than the length.its area is 45m raised to power of two .find the dimensions of the class room
Length =9 , second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
What is quadratic equation?x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
L= 4 + W
Area is 45, so
L times W = 45
substituting the value of L, we get (4+W)*W=45, after simplifying this we get
4W+W2=45
W2+4W-45=0, this is a quadratic equation and after solving this we get the factors 9 and -5
( W+9) and (W-5) = 0
we get W=-9 or W=5, since width cannot be negative, so width = 5
substituting the value of W=5 in L = 4 +5, we get length = 9
To learn more about quadratic equation refer to:
https://brainly.com/question/1214333
#SPJ1
Second-order polynomial equation in one variable, length = 9. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.
What is quadratic equation?A quadratic equation, or second-order polynomial equation with a single variable, is x ax2 + bx + c = 0. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution. The solution might be straightforward or difficult.
L= 4 + W
Since the area is 45, L times W = 45. Substituting the value of L, we get (4+W)*W=45. Simplifying this, we get 4W+W2=45. W2+4W-45. = 0. This is a quadratic equation, and after solving it, we get the factors 9 and -5. Since width cannot be negative, we get W=-9 or W=5. Substituting the value of W=5 in L = 4 + 5,
To learn more about quadratic equation refer to:
https://brainly.com/question/1214333
#SPJ1
solve (2x-3)²= 4x using the quadratic formula
Answer:
[tex]x = 2 \pm \frac12\sqrt7[/tex]
Step-by-step explanation:
Hello!
Expand the left-hand side of the equation:
(2x - 3)²(2x-3)(2x-3)(2x-3)(2x) +(2x-3)(-3)4x² - 6x - 6x + 94x² - 12x + 9Create the Equation:
4x² - 12x + 9 = 4x4x² - 16x + 9 = 0Solve using the quadratic formula:[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-16) \pm \sqrt{(-16)^2 - 4(4)(9)}}{2(4)}[/tex][tex]x = \frac{16 \pm \sqrt{256 - 144}}{8}[/tex][tex]x = \frac{16 \pm \sqrt{112}}{8}[/tex][tex]x = \frac{16 \pm 4\sqrt7}{8}[/tex][tex]x = 2 \pm \frac12\sqrt7[/tex]The roots of the equation are [tex]x = 2 \pm \frac12\sqrt7[/tex]
A shipment of 8 computers contains 4 with defects. Find the probability that a sample of size 1, drawn from the 8, will not contain a defective computer,What is the probability that a sample of 1 of the 8 computers will not contain a defective computer?(Type an integer or a simplified fraction)Help Me Solve ThisView an ExampleGet More HelpClear All
Answer:
1/2
Explanation:
If you take a sample of 1 drawn from the 8, you will have 8 possible options and 4 of them didn't contain defects. So, the probability can be calculated as:
[tex]\frac{4}{8}=\frac{1}{2}[/tex]Therefore, the answer is 1/2
The probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.
What is the probability?The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.
Given a shipment of 8 computers contain 4 with defects.
That means 8 -4 = 4 computers have no defect.
To find the probability;
we have 8 possible computers and 4 computers have no defect.
The probability;
= 4 /8
= 1/2
= 0.5
Therefore, the probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.
To learn more about the probability;
brainly.com/question/11234923
#SPJ2
Yasmin is making some pancakes. Her recipe makes 6 pancakes.
Flour
Eggs
Milk
100g
2
250ml
Yasmin wants to make 15 pancakes.
Complete the table to show how much she will need of each ingredient.
Answer:
tbh times them all by 15 and u should get the answers
Only 20 percent of the spectators left the contest discontented. If 6000 spectators left the contest contented,
how many left discontented?
There are 24000 spectators left the contest discontented.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that Only 20 percent of the spectators left the contest discontented.
If 6000 spectators left the contest contented, then the contest left discontented are;
The spectators left the contest contented = 6000
20/ 100 x D = 6000
D = 6000 x 100/20
D = 30000
Now the contest left discontented are;
80 percent = 80/100 x 30000
= 24000
Hence, 24000 spectators left the contest discontented.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Which of the following is NOT an expression?
A
3x + 1
B
4x^2
2
- 6
C
5b
D
6y + 1z = 7x - 3w
Answer:
they are all expressions except D) 6y + 1z = 7x - 3w which is an equation, B
4x ^ 2
2
- 6 it is not known because it is poorly written.
Step-by-step explanation:
Which of the following is NOT an expression?
A 3x + 1 (expression)
B 4x^2 2- 6 (unknow)
C) 5b (expeession)
D) 6y + 1z = 7x - 3w (Equation)
Find the unit rate of gallon to mile:
1/4 of a gallon to 3/10 mile
The unit rate of gallon to mile is calculated as: 5/6 gallon per mile.
How to Find the Unit Rate Between Two Variables?The unit rate between two variables is simply the ratio of the quantity of one variable to the quantity of the other variable, such that the the denominator of the will be equal to exactly 1.
We are given the variables gallons and miles, where 1/4 of a gallon is to 3/10 mile.
The unit rate between these two variables would be an amount of gallons per mile.
Thus, find the unit rate by dividing 1/4 by 3/10:
1/4 ÷ 3/10
= 1/4 × 10/3
= 10/12
= 5/6
The unit rate is therefore, 5/6 gallon per mile.
Learn more about unit rate on:
https://brainly.com/question/19493296
#SPJ1
Find the area of the trapezoid shown above. [?] square inches The measurements are 36in the base. 20in the height. 30 in the top.
The dimensions given are as follows;
Base a = 36
Base b = 30
Height = 20
The area is derived as follows;
[tex]\begin{gathered} A=(\frac{a+b}{2})\times h \\ A=(\frac{36+30}{2})\times20 \\ A=(\frac{66}{2})\times20 \\ A=33\times20 \\ A=660in^2 \end{gathered}[/tex]The area therefore is 660 square inches
3. Your boss asks you to compare three phone plans. Identify the cheapest plan when an average of 190 text messages are sent each month. • Plan A costs a basic fee of $29.95 per month and 13 cents per text message • Plan B costs a basic fee of $53.00 per month and has unlimited text messages. • Plan C has no basic fee, but charges $0.28 per text message. 2021 Illuminate Education. Inc
Analyze each plan according to the given specifications.
Plan A:
The basic fee must be added to the product of 0.13 and the average messages sent.
[tex]29.95+190\cdot0.13=54.65[/tex]Plan B:
It already includes the cost for unlimited messages.
[tex]53.00[/tex]Plan C:
The plan costs the product of 0.28 and the average messages sent.
[tex]190\cdot0.28=53.2[/tex]When comparing these plans, the cheapest one is Plan B, which only costs $53.00.
Did I get this right I need to know asp
Triangle xyz, z=61 degree, its nearest length If leg an is the missing side and xz=17.3 cm and xy=15.2 cm,
then change the equation to its original form when an is on one side and calculate the square root: a = √(c² - b²)
Leg b is undetermined if. For a missing hypotenuse c, the formula is b = (c2 - a2). c = √(a² + b²)
How do you calculate a triangle's third side?
Different Methods to Determine a Triangle's Third Side?
Use the Pythagorean Theorem while forming a right triangle. Use the isosceles triangle area formula to determine the area of a triangle. Use the law of cosines or the law of sines if you are familiar with some of the angles and other side lengths.
to learn more about Triangle's Third Side refer to:
https://brainly.com/question/18737876
#SPJ13
What is the equation of the line that passes through the point (4, 6) and has an
undefined slope?
Answer:
x = 4
Step-by-step explanation:
a line with an undefined slope is a vertical line parallel to the y- axis, with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (4, 6 ) with x- coordinate 4 , then
x = 4 ← equation of line
according to multiple studies, including those by the american association of university women and the pew research center, on average, women are paid approximately which percent of what men are paid? select one: a. 80 b. 100 c. 90 d. 70
Women are paid approximately 80 percent of what men are paid.
Multiple studies have been carried out to discuss the income inequality prevailing in United States. Pay inequity has been found as a corollary of the income inequality.
The women and men has different pay levels for the same work at certain work places. Income inequality is considered as an injustice and to put forward this issue may organizations are trying.
Hence according to multiple studies, including those by the American association of university women and the pew research center, on average, women are paid approximately 80 percent of what men are paid.
We can see the appreciable difference in the pay levels of women and men prevailing.
As a result several laws has been passed recently to have a solution for this injustice.
Learn more about income inequality at https://brainly.com/question/28352503
#SPJ4
Can someone please help me
May's total profit given the revenue, fixed cost and variable cost is $250.
What is the total profit?
Profit is when the difference between revenue and total cost is positive. A loss is earned when the difference between revenue and total cost is negative.
Total cost is the sum of fixed cost and variable cost. Fixed cost is the cost that remains constant regardless of the level of output. Variable cost changes based on the level of output.
Total cost = variable cost + fixed cost
$9,000 + $300 = $9,300
Profit = revenue - total cost
$9,950 - $9,300 = $250
To learn more about profit, please check: https://brainly.com/question/6202708
#SPJ1
Convert 41°F to degrees Celsius.
if necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=5/9(F-32)
F=9/5C+32
Answer:
5°C
Step-by-step explanation:
hope this helps, i used your formula :D
What number should be the exponent on the 10 so that the two numbers are equivalent? 75.6 - 10% = 0.00756 y = -3 C y = 3 c y y = 4 y = 4 =
Answer:
y = -4
Explanation:
Given the equation:
[tex]75.6\times10^y=0.00756[/tex][tex]\begin{gathered} 0.00756=7.56\times10^{-3} \\ =75.6\times10^{-4} \end{gathered}[/tex]Thus, the number is -4.
an engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 140 lbs. and 190lb. the new population of pilots has normally distributed weights with a mean of 158 lbs. and a standard deviation of 27.2 lb. find the probability that a pilot weight is between 140 lbs. and 190 lbs. the probability that the pilot weighs between 140 and 190 pounds is
The probability that the pilot weighs between 140 and 190 pounds is 0.6262.
When provided,
µ = 158
σ = 27.2
We must determine P(140 x 190).
P(140< x < 190) = P(x< 190) - P(x<140)
Locate P(x 190).
Z = (x - µ)/σ
Z = (190 - 158)/27.2
Z = 1.176471
P(Z<1.176471) = P(x<190) = 0.880297
[This probability can be determined using a z-table, Excel, Ti-83/84 calculator, software, etc. Z-table is less accurate than other methods in terms of value.]
Find P(x>140) now.
Z = (x - µ)/σ
Z = (140 - 158)/27.2
Z = -0.66176
P(Z<-0.66176) = P(x<140 ) = 0.254061
P(140< x < 190) = P(x< 190) - P(x<140)
P(140< x < 190) = 0.880297 - 0.254061
P(140< x < 190) = 0.626236
The necessary probability is 0.6262.
To learn more about probability click here:
brainly.com/question/23044118
#SPJ4
Answer:
Step-by-step explanation:
0.626 is the probability that the pilot weighs between 140 and 190 pounds.
Mean (µ ) = 158
S.D(σ ) = 27.2
P(140 x 190)=?
P(140< x < 190) = P(x< 190) - P(x<140)
Find P(x 190).
Probability determined using Z-table.
Z = (x - µ)/σ
= (190 - 158)/27.2=1.176471
P(Z<1.176471) = P(x<190) = 0.88
Find P(x>140)
Z = (140 - 158)/27.2= -0.66176
P(Z<-0.66176) = P(x<140 ) = 0.254
P(140< x < 190) = 0.88 - 0.254
= 0.626
Therefore probability is 0.626.
Learn more about entity here:
https://brainly.com/question/28944474
#SPJ4
y
(1.3)
(5.b)
(a, 6)
(9.7)
All of the points in the graph are on the same line.
Find the slope of the line.
Submit and Explain
just tell me the slope of the line and where to plot the segments on the graph
Answer:
The slope is 2
Step-by-step explanation:
Take any two points on the line. I am going to use the points (0,-8) and (4,0) Points are in the form (x,y) The y values form the two points is 0 and -8. The x values are 4 and 0.
The slope is the change in y over the change in x.
[tex]\frac{0- -8}{4-0}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Solve the equation b over 27 equals negative 3 for b.
81
9
−9
−81
Solve the equation 42 = v + 35 for v.
−77
77
−7
7
Solve the equation −128 = 4x for x.
−124
132
−32
32
The solution of the equation is as follows;
b = -81v = 7x = -32How to solve equations?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
In other words, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The expression can be solved as follows:
b / 27 = - 3
cross multiply
b = -3 × 27
b = - 81
42 = v + 35
subtract 35 from both sides of the equations.
42 - 35 = v + 35 - 35
v = 42 - 35
v = 7
- 128 = 4x
divide both sides of the equations by 4
4x / 4 = - 128 / 4
x = - 32
learn more on equation here: https://brainly.com/question/1918545
#SPJ1
Answer:
b = -81v = 7 x = -32Step-by-step explanation:
1) b/27 = -3, then b = ?
→ b/27 = -3
→ b = -3 × 27
→ [ b = -81 ]
Thus, value of b is -81.
2) 42 = v + 35, then v = ?
→ v + 35 = 42
→ v = 42 - 35
→ [ v = 7 ]
Thus, value of v is 7.
3) -128 = 4x, then x = ?
→ 4x = -128
→ x = -128/4
→ [ x = -32 ]
Thus, value of x is -32.
A wedding planner placed two orders with a flower shop. The first order was for 13 bunches of roses and 4 palms, totaling $487. The second was for 6 bunches of roses and 2 palms, totaling $232. The receipts do not list the item per price. What is the cost of one bunch of roses and one palm?
Let's call X the cost of one bunch of roses and Y the cost of one palm.
Then, the first order was for 13 bunches of roses and 4 palms, totaling $487, so:
13X + 4Y = 487
Additionally, the second order was for 6 bunches of roses and 2 palms, totaling $232, so:
6X + 2Y = 232
Then, solving for Y on the first equation, we get:
[tex]\begin{gathered} 13X+4Y=487 \\ 4Y=487-13X \\ Y=\frac{487-13X}{4} \\ Y=\frac{487}{4}-\frac{13}{4}X \\ Y=121.75-3.25X \end{gathered}[/tex]Replacing on the second and solving for X, we get:
[tex]\begin{gathered} 6X+2Y=232 \\ 6X+2(121.75-3.25X)=232 \\ 6X+2\cdot121.75-2\cdot3.25X=232 \\ 6X+243.5-6.5X=232 \\ -0.5X+243.5=232 \\ -0.5X=232-243.5 \\ -0.5X=-11.5 \\ X=\frac{-11.5}{-0.5} \\ X=23 \end{gathered}[/tex]Then, we can replace the value of X and calculated the value of Y as:
[tex]\begin{gathered} Y=121.75-3.25X \\ Y=121.75-3.25\cdot23 \\ Y=121.75-74.75 \\ Y=47 \end{gathered}[/tex]Answer: The cost of one bunch of roses is $23 and the cost of one palm is $47
The mean height of married american women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. the mean height of married men the same age is 68.5 inches, with standard deviation 2.7 inches. the correlation between the heights of husbands and wives is about r = 0.5. find the height of the husband without using least mean
Y'=33.67+0.54*X' .
For married couples in their early 20s, the regression equation and the prediction of a husband's height. In statistics, a regression equation is used to determine whether or not there is a link between two sets of data.
What is the purpose of a regression equation?In statistics, a regression equation is used to determine whether or not there is a link between two sets of data. For instance, you might discover that a child grows roughly 3 inches a year if you measure their height each year. A regression equation can be used to model the three-inch growth tendency.
Detailed explanation:
r=0.5 \s x'=64.5 \s Sx=2.5 \s y'=68.5 \s Sy=2.7The slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x', according to the general regression line equation: Y'=a+b*X'The mean of the lowered by the slope and mean of x is the intercept with axis y.The following is the equation regression line:Y'=33.67+0.54*X'.To learn more about Regression equation refer to:
https://brainly.com/question/26843436
#SPJ1
Find the area. Pls help with 12-13
12. A = [tex]3x^3-21x[/tex]
A = lw
A = 3x * (-7x * x^2)
(distribute the 3x
A = -21x * x^3
A = [tex]3x^3-21x[/tex]
13. A = [tex]4x^3 -4x[/tex]
A = lw
A = 4x * (x^2 * -7x + 6)
(distribute the 4x)
A = 4x^3 * -28x +24x
A = [tex]4x^3 -4x[/tex]
please help solve the attatched question pleasee
Using complementary angles, the numerical value of the given expression is as follows:
2.
What are complementary angles?Complementary angles are angles whose sum of the measures is of 90º.
The relevance of complementary angles in the context of this problem is that if a and b are complementary angles, then the sine of one angle is the cosine of the other angle, as follows:
sin(a) = cos(b).
Considering the angles of 40º and 50º in this problem, we have that:
sin(40º) = cos(50º).sin(50º) = cos(40º).Hence these following simplifications are applied:
sin²(40º) + sin²(50º) = sin²(40º) + cos²(40º) = 1.cos²(40º) + cos²(50º) = sin²(50º) + cos²(50º) = 1.sin(40º)cos(50º) = sin(40º)sin(40º) = sin²(40º).cos(40º)sin(50º) = cos(40º)cos(40º) = cos²(40º).Then the numerical value of the expression is given as follows:
1/1 + sin²(40º) + cos²(40º) = 1 + 1 = 2.
More can be learned about complementary angles at https://brainly.com/question/98924
#SPJ1
Assume that each circle shown below represents one unit. Express the shaded amount as a single fraction and as a mixed number. One Fraction: Mixed Number: Submit Answer attempt
The shaded amount can be express as a single fraction and mixed fraction below
[tex]\begin{gathered} \text{each circle=1 unit} \\ 2\text{ circle= 2 unit} \\ \text{each circle was divided into 12 parts} \\ \text{the shaded parts in the 24 parts =14} \\ Therefore, \\ 1\frac{2}{12}=\frac{14}{12}=1\frac{1}{6} \end{gathered}[/tex]how to find n(A-B)
q no 9 ii
sure branliest
Answer: 11
Step-by-step explanation:
[tex]A-B=\{2\}[/tex].
Since there is 1 element in this set, the answer is 1.
Using the numbers 8, 6, 4, and 2, write an expression that equals 6.
Answer:
6+4,8-6, 4x2,8-2
Step-by-step explanation:
pls help me super confused on inequality
Find the m
bisector.
Answer: [tex]50^{\circ}[/tex]
Step-by-step explanation:
[tex]m\angle FDE=25^{\circ}+25^{\circ}=50^{\circ}[/tex]