This dress will be sold in the boutique for $6,716.25.
Price calculationGiven that a new style of dress will take 180 hours of work to complete, and twenty percent of this time is for beading, thirty-five percent of this time is for adding ruffles, and the remaining time is divided equally between embroidery and sewing, and when pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing, and the dress is then sold in the showroom for 25% more than the cost of labor and materials, To determine how much this dress will sell for in the boutique, the following calculation must be made:
(((180 x 0.25) x 40) + ((180 x 0.35) x 35) + ((180 x 0.20) x 20) + ((180 x 0.20) x 18)) x 1.25 = X((45 x 40) + (63 x 35) + (36 x 20) + (36 x 18)) x 1.25 = X(1800 + 2205 + 720 + 648) x 1.25 = X5373 x 1.25 = X6,716.25 = XTherefore, this dress will be sold in the boutique for $6,716.25.
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Answer:
This dress will be sold in the boutique for $6,716.25.
Step-by-step explanation:
a. Sarah Smartshopper receives ten cents off per gallon on gas for every $100 she
spends at the grocery store during a given month. During the month of October,
he spent $45.23, $102.34, $13.67, $34.56, $48.72, and $52.12. What will Sarah's
gas discount be for October?
Using proportions, it is found that her discount is of $0.29664.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the total amount she spent on gas is given by:
T = $45.23 + $102.34 + $13.67 + $34.56 + $48.72 + $52.12 = $296.64.
Considering that she receives ten cents off per gallon on gas for every $100 she spends, we apply the proportion to find that her discount is given by:
[tex]D = 0.1 \times \frac{296.64}{100} = 0.29664[/tex]
Her discount is of $0.29664.
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605 miles in 11 hours
Answer:
1 hour=55 miles
Step-by-step explanation:
Answer:
55 mph
Step-by-step explanation:
605 miles/11 hours
605/11 mph
55 mph
Hope this helps!
Mrs. Angle has 12 students in her advanced algebra class. On a recent test, the average was 80. When Beth asked for her score, Mrs Angle could not find it, but she did remember adding Beth's score in the average. She also remembered Beth had passed. These are the scores of the other students
65, 65, 70, 70, 80, 85, 90, 90, 90,100.
What is Beth's score?
Answer:
75Step-by-step explanation:
Let the Beth's score is x.
The average is 80.
Solve the following equation:
average = sum / number(65*2 + 70*2 + 80 + 85 + 90*3 + 100 + x)/11 = 80805 + x = 80*11x = 880 - 805x = 75Beth's score was 75
Mr. Williams buys 12 gallons of ivory paint to paint the exteriors of his home. How much does one gallon of paint cost, if he billed a total of $304.80 for his purchase?
Answer:
$25.40
Step-by-step explanation:
Find the unit price. So what you do is just divide 304.80 by 12 to get the price of one which comes out to be $25.40
Need help asap! Having trouble !
In a trapezoid, the segment at the midpoint is the average of the other two bases.
In other words: YZ = (QR + TS) / 2
5x + 1 = ( (2x + 7) + 19 ) / 2
2(5x + 1) = 2x + 26
10x + 2 = 2x + 26
8x = 24
x = 3
YZ = 5x + 1
YZ = 5(3) + 1
YZ = 15 + 1
YZ = 16
Hope this helps!
At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. What is the ratio of juniors to seniors at 2:00pm in fraction form
Answer:
find the common factor in the given algebraic expressions 4 (x-y) , 6(y-x)
[80 POINTS] An engineer is designing a new drill bit as shown in the diagram. To finalize the design, the engineer needs to know the volume of the drill bit.
What is the volume of the drill bit?
Answer:
2,106 pi mm3
Step-by-step explanation:
Volume of the drill bit is equals to [tex]2,106\pi mm^{3}[/tex].
What is volume?" Volume is defined as the total space occupied by a three dimensional object enclosed in it. It is measured in cubic unit."
Formula used
Volume of the cone = [tex]\frac{1}{3} \pi r^{2}h[/tex]
Volume of the cylinder =[tex]\pi r^{2}h[/tex]
r = radius of the cone / cylinder
h = height of the cone / cylinder
According to the question,
Given,
Radius of the cylinder = 9 mm
Radius of the cone = 9 mm
Height of the cone = 24 mm
Height of the cylinder = 18 mm
Substitute the values in the formula to obtained the required volume,
Volume of the cone [tex]= \frac{1}{3} \pi (9^{2})(24)[/tex]
[tex]= \pi (81)(8)\\=648\pi mm^{3}[/tex]
Volume of the cylinder [tex]= \pi (9^{2} )(18)[/tex]
[tex]=1458\pi mm^{3}[/tex]
Required Volume of the drill pit
= Volume of the cone + Volume of the cylinder
[tex]= (648\pi + 1458\pi )mm^{3} \\= 2106\pi mm^{3}[/tex]
Hence, Option(B) is the correct answer.
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Mr.Smith has p pounds of cookie dough. He is going to split it equally among his three children. Each child will get 0.42 pounds of cookie dough. Write and solve an equation that can be used to determine the weight of the cookie dough Mr. Smith has.
Answer:
p = 1.26
Step-by-step explanation:
We know that the total weight (p) is going to be split equally (divided) by 3.
We also know that divided weight will be equal to 0.42 pounds.
p / 3 = 0.42
To solve:
multiply both sides by 3 to cancel the division by 3
p = 1.26
To test this you could divide 1.26 by 3 again to get 0.42
Find the slope of the line passing through the points (7, -3) and (3, -7)
Answer:
The slope of the line is -1
Step-by-step explanation:
You need to use the slope formula
Slope Formula: y2 - y1 / x2 - x1
**The numbers represent subscripts but the subscripts aren't on computers**
Your Coordinate Points:
(7, -3) and (3, -7)
Do -7 - (-3) / 3-7
First, do -7 - (-3)
The negatives cancel to an addition problem.
-7 + 3
Now do -7 + 3. This is a subtraction problem that should be negative.
-7 + 3 = -4
Next, do 3 - 7
That should be 4
-4/4 is what we have right now.
Do -4 divided by 4 which has to contain a negative.
That is simply -1.
The slope of the line is -1
HELP, i need help!!!!!!!!!!!!!!
Answer:
t = 7.46, 0.42
Explanation:
h = 126t - 16t² [ "h" is height, "t" is time ]
when height is 50 feet
126t - 16t² = 50-16t² +126t -50 = 016t² -126t +50 = 0==================
[tex]\sf use \ quadratic \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]
==================
[tex]\Longrightarrow \sf t = \dfrac{-126\pm \sqrt{126^2-4\left(-16\right)\left(-50\right)}}{2\left(-16\right)}[/tex]
[tex]\Longrightarrow \sf t = \dfrac{63\pm\sqrt{3169}}{16}[/tex]
[tex]\Longrightarrow \sf t = 7.46, \ 0.42[/tex]
Let's find
h=126t-16t²Put h=50
-16t²+126t=50-16t²+126t-50=0Use quadratic formula
[tex]\\ \rm\Rrightarrow t=\dfrac{-126\pm\sqrt{126²-4(-16)(-50)}}{-32}[/tex]
[tex]\\ \rm\Rrightarrow t=7.5s,0.4s[/tex]
Choose the ratio that is equivalent to this one: 4/7
Answer:
4:7
Step-by-step explanation:
4:7 is the same as 4/7
WILL GIVE BRAINLIEST PLEASE HELP FAST!! Write the function f(x)= 2x3+1+x2 x2−9 as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function.
f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9) + (1 + x²)/(x² + 9).
To answer the questions, we need to know what functions are
What are functions?A function is a mathematical expression that shows the relationship between two variables.
Types of functionOdd functions - These are functions in which f(-x) = -f(x)Even functions - These are functions in which f(-x) = f(x)Neither - When the function is neither even nor odd.Since f(x) = (2x³ + 1 + x²)/(x² + 9).
The odd part of f(x)Its odd part g(x) = [f(x) - f(-x)]/2
So, g(x) = [f(x) - f(-x)]/2
= [(2x³ + 1 + x²)/(x² + 9) - (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2
= [(2x³ + 1 + x²)/(x² + 9) - (-2x³ + 1 + x²)/(x² + 9)]/2
= (2x³ + 1 + x² + 2x³ - 1 - x²)/2(x² + 9)
= 4x³/2(x² + 9)
g(x) = 2x³/(x² + 9)
The even part of f(x)
Its even part h(x) = [f(x) + f(-x)]/2
So, h(x) = [f(x) + f(-x)]/2
= [(2x³ + 1 + x²)/(x² + 9) + (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2
= [(2x³ + 1 + x²)/(x² + 9) + (-2x³ + 1 + x²)/(x² + 9)]/2
= (2x³ + 1 + x² - 2x³ + 1 + x²)/2(x² + 9)
= 2(1 + x²)/2(x² + 9)
h(x) = (1 + x²)/(x² + 9)
So, f(x) = g(x) + h(x)
f(x) = 2x³/(x² + 9) + (1 + x²)/(x² + 9)
So, f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9) + (1 + x²)/(x² + 9).
Learn more about odd and even functions here:
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Answer:
[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]
[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]
Step-by-step explanation:
'x² - 9' is an even.
Break up the numerator into odd an even parts to get your answer.
'2x³' is odd and 'x² + 1' is even.
[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]
[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]
Find the equation of the line through (-5,9) that is parallel to y=-2x+2
Answer:
Step-by-step explanation:
y - 9 = -2(x + 5)
y - 9 = -2x - 10
y = -2x - 1
Which statement correctly explains the difference between a right cylinder and an elliptic cylinder?
A right cylinder has circular bases while an elliptic cylinder has oval bases.
A right cylinder has rectangular bases while an elliptic cylinder has oval bases.
A right cylinder has triangular bases while an elliptic cylinder has oval bases.
A right cylinder has rectangular bases while an elliptic cylinder has circular bases.
If the elements of the cylinder are perpendicular to the planes containing the bases, the cylinder is a right cylinder, otherwise it is called an oblique cylinder. If the bases are disks (regions whose boundary is a circle) the cylinder is called a circular cylinder
The radius of the circle with a central angle of 2 radians that intercepts an arc with length 99 cm is
cm
[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =2\\ s=99 \end{cases}\implies 99 = r(2)\implies \cfrac{99}{2}=r\implies 49.5=r[/tex]
Lainey is sliding down a water slide that is 423 feet long at a rate of 47 feet per second. How long will it take Lainey to travel from the top to the bottom of the slide?
Answer:
It will take Lainey 9 seconds to travel from top to bottom
Further explanation:
The formula of speed will be used to calculate the time to reach from top to bottom of the slide.
Given
\begin{gathered}Distance=d=423\ feet\\Speed=s=47\ feet\ per\ second\end{gathered}
Distance=d=423 feet
Speed=s=47 feet per second
The formula for speed is:
s=\frac{d}{t}s=
t
d
Putting the values of distance and speed in the formula:
\begin{gathered}47=\frac{423}{t}\\t=\frac{423}{47}\\t=9\ seconds\end{gathered}
47=
t
423
t=
47
423
t=9 seconds
It will take Lainey 9 seconds to travel from top to bottom
Keywords: Speed, distance
Learn more about speed
Height of a Toy Rocket A toy rocket (not internally powered) is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec. a. Give the function that describes the height of the rocket in terms of timet b. Determine the time at which the rocket reaches its maximum height and the maximum height in feet. c. For what time interval will the rocket be more than 300 ft above ground level? d. After how many seconds will it hit the ground?
The height of the toy is an illustration of the height function
The function of the toy velocityThe given parameters are:
Initial velocity, Vo = 200 ft per secInitial height, H = 50 ftThe function of the height is calculated as:
h(t) = -16t² + Vot + H
This gives
h(t) = -16t² + 200t + 50
Hence, the velocity function is h(t) = -16t² + 200t + 50
The time of maximum heightIn (a), we have:
h(t) = -16t² + 200t + 50
Differentiate
h'(t) = -32t + 200
Set to 0
-32t + 200 = 0
Subtract 200 from both sides
-32t = -200
Divide both sides by -32
t = 6.25
Substitute 6.25 for t in h(t)
h(6.25) = -16 *6.25² + 200 * 6.25 + 50
h(6.25) = 675
Hence, the time to reach the maximum height is 6.25 seconds and the maximum height is 675 feet
When the rocket will be at a height more than 300This is represented as
h(t) >300
So, we have:
-16t² + 200t + 50 > 300
Subtract 300 from both sides
-16t² + 200t - 250 > 0
Using a graphical calculator, we have:
t = 11.09s and t = 1.41 s
Hence, the rocket will be at a height more than 300 at 11.09s and 1.41 s
When it will hit the ground?This means that
h(t) = 0
So, we have:
-16t² + 200t + 50 = 0
Using a graphical calculator, we have:
t = 12.75
Hence, the rocket will hit the ground at 12.75s
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I need help please
Answer:
48
Step-by-step explanation:
180 is the whole thing
So add 25 and 107 to make 132, then 180-132
100 points please help me
I need it
Answer:
[tex]x=20\\\\m\angle B = 92^{\circ}\\\\m\angle C = 40^{\circ}[/tex]
Step by step explanation:
[tex]~~~m\angle A +m\anglee B + m\angle C =180^{\circ}\\\\\implies 48+6x-28+2x = 180\\\\\implies 8x +20 = 180\\\\\implies 8x = 180 -20 = 160\\\\\implies x = \dfrac{160}8=20\\\\\\m\angle B = (6x -28)^{\circ} = (6\cdot 20 -28)^{\circ}=92^{\circ}\\\\m\angle C = (2x)^{\circ} = (2\cdot 20)^{\circ}=40^{\circ}[/tex]
CAN SOMEONE PLS ANSWER THIS QUESTION FAST
I WILL MARK BRAINLIEST
Answer:
B 5
Step-by-step explanation:
it is the same ratio as the red
Evaluate f(x + 1) when f(x) = 2:02 2c2 - 42 - 2 4x (Be sure to simplify your answer)
f(x+1)
2(x+1)²-4(x+1)-22(x²+2x+1)-4x-4-22x²+4x+2-4x-4-22x²-4Write the exponential function y = 22(1.35)' in the form y = aekt.
(a) Once you have rewritten the formula, give k accurate to at least four decimal places.
k%3D
help (numbers)
If t is measured in years, indicate whether the exponential function is growing or decaying and find the annual and
continuous growth/decay rates. The rates you determine should be positive in the case of growth or decay (by choosing
decay the negative rate is implied).
(b) The annual? rate is
% per year (round to the nearest 0.01%).
Answer:
y = 22·e^(0.3001t), growingannual rate: 35%continuous rate: 30.01%Step-by-step explanation:
When an exponential function is in the form ...
y = ab^t
the factor 'b' is called the growth factor. When t is in years, it is related to the annual growth rate (r) by ...
b = 1 +r
In the alternate form, this can be written ...
y = a·e^(kt)
Comparing the forms, we see that ...
b = e^k ⇒ k = ln(b)
__
(a)y = 22·1.35^t
k = ln(1.35) ≈ 0.3001
y = 22·e^(0.3001t)
The growth factor is greater than 1, so the function is growing.
__
(b)The annual growth rate is ...
r = 1.35 -1 = 0.35 = 35.00%
__
(c)The continuous growth rate is ...
k = 0.3001 = 30.01%
Which of the following are not polynomials?
Answer:
D
I really wish is right!!!
Please Help!!!!!!!! In a recent year,24.7% of all registered doctors were female. If there were 43,200 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.
This is one single number just a bit under 175 thousand. Delete the comma if needed.
========================================================
Work Shown:
x = number of total doctors
24.7% of x = number of female doctors
0.247x = 43200
x = 43200/(0.247)
x = 174,898.785425101 approximately
x = 174,899 when rounding to the nearest whole number
A tennis player makes a successful first serve 51% of the time. Assume that each serve is independent of the others. If she serves 9 times, what is the probability that she gets at most 3 successful first serves in?
please help, super easy 7th grade math! worth a lot of points
Answer:
57mm
Step-by-step explanation:
Length of missing side= perimeter- known lengths
= 152mm- (30+20+45)mm
= (152 - 95)mm
= 57mm
Khan Academy Volume of Sphere Answers!!!
Explanation:
The N stands for Pi so when you type in the answers to Khan Academy use the Pi symbol when theres an N! These are the common questions and common radius Khan Academy gives when they ask to find the radius of the circle.
Answers:
For 4 - 267.95
For 1/4 - 1/48n
For 1 - 4/3n
For 9 - 972n
For 7 - 1372/3n
For 6 - 288n
For 3 - 36n
For 10 - 4000/3n
For 8 - 2048/3n
For 1/2 - 1/6n
For 5 - 500/3n
For 2 - 33.49
Step-by-step explanation:
I did the go math so all of these rights and the majority of the answers are the questions Khan Academy will ask you to find the radius of the circle.
is 5/74 rational or irrational?
Answer:
Rational
Step-by-step explanation:
5.74 is the same as 5.74 over 1. In other words, 5.74 can be written with a numerator and denominator, like this:
5.74 = 5.74/1
5.74 x 100/ 1 x 100
You can multiply the numerator and denominator of any fraction by the same number and keep the value of the fraction the same. Here we will multiply the numerator and denominator by 100 to get rid of the decimal point.
5.74 × 100/ 1 × 100
When we calculate the numerator and the denominator above, we get this fraction:
574/100
The fraction above is the same as 5.74. Furthermore, the numerator and the denominator of the fraction above are integers. Therefore, we can conclude that the answer to "Is 5.74 a rational number?" is yes.
If you create an app similar to brainly, what things you gonna to change in this ?
Answer:
The
C
h
a
t
section
It's difficult to access
It's also really
sen-
sitive
to what you could type.
Please help in stuck on this one
Answer:
Step-by-step explanation:
a.
[tex]2^3*2^{-3}=2^0\\b.\\\frac{2^3}{2^5} =2^{-2}\\c.\\2^{-3}*5^{-3}=10^{-3}[/tex]