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Related Questions
Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
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so the part of the expression that represents the percent that skylar will pay for the dress pants is : (1-y)40
Answer: Hello there!
As we know, the dress pants cost a total of $40, and we also know that Skylar has a coupon of y percent in the dress pants and a coupon of z percent in the total purchase.
In this problem, the question is:
Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
Ok, if we have a discount of y percent, (where y is represented as decimals) means that you are paying the total price of something ( the 100%) minus the the decimal y multiplied by the price of the object.
this is: $40 - y*$40 = (1 - y)*$40
then if the dress pants cost $40, and Skylar only uses the dress pants coupon, he will pay (1 - y)*$40 for the dress pants.
Mr Webster is buying carpet for an exercise room in his basement the room will have an art of 230 square feet the width of the room is 12 1/2 what is the length
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The length of Mr. Webster's exercise room is 18.4 feet, calculated by dividing the area (230 sq ft) by the width (12.5 ft).
To find the length of the room, we can use the formula for the area of a rectangle:
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]
Given that the area is 230 square feet and the width is 12 1/2 feet, we can plug these values into the formula:
[tex]\[ 230 = \text{Length} \times 12 \frac{1}{2} \][/tex]
To solve for the length, divide both sides by 12.5:
[tex]\[ \text{Length} = \frac{230}{12 \frac{1}{2}} \]\[ \text{Length} = \frac{230}{\frac{25}{2}} \]\[ \text{Length} = 230 \times \frac{2}{25} \]\[ \text{Length} = 18.4 \][/tex]
So, the length of the room is [tex]\( \boxed{18.4} \)[/tex] feet.
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
a. y – 300 = 4(x – 100)
b. y + 300 = 4(x + 100)
c. y + 300 = 2.5(x + 100)
d.y – 300 = 2.5(x – 100)
HELPPPPPPPPPPP
Answers
Answer:
Option a : [tex]y-300 = 4(x - 100)[/tex]
Step-by-step explanation:
Given :
The drama club sold 100 tickets to a show, it had $300 in profit.
The next show, it had sold a total of 200 tickets and had a total of $700 profit.
To Find : Equation models the total profit, y, based on the number of tickets sold, x
Solution :
For 100 tickets he had $300 in profit .
⇒ ([tex]x_{1} ,y_{1}[/tex])=(100,300)
For 200 tickets he had $700 in profit .
⇒ ([tex]x_{2} ,y_{2}[/tex])=(200,700)
We will use point slope form i.e.
[tex]y-y_{1} = m(x - x_{1})[/tex] --(A)
Now, to calculate m we will use slope formula :
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{700 -300}{200-100}[/tex]
[tex]m =4[/tex]
Now, putting values in (A)
[tex]y-300 = 4(x - 100)[/tex]
Thus Option a is correct i.e. [tex]y-300 = 4(x - 100)[/tex]
4x -y =1
I need to get the variable y by its self.
Answers
Simply subtract 4x from both sides.
-y = -4x + 1
Then, divide both sides by -1, so that y turns into a positive.
y = 4x - 1
~Hope I helped!~
Complete the data set with one value so that the mean of the data is 13.
10,14,8,16,12,____
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(60 + x) / 6 = 13
60 + x = 13 * 6
60 + x = 78
x = 78 - 60
x = 18 <=====
The value of another number such that mean remains 13 is 18.
What is mean?The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.
Mean = sum of data / Number of data
For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be
( 40 + 45+ 44 + 46 + 48) /5 = 44.6.
Let's say that number is x
Then,
Mean = (10 + 14 + 8 + 16 + 12 + x)/6
(60 + x)/6 = 13
x = 18
Hence "The value of another number such that mean remains 13 is 18".
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Mrs.Carson pays Kristen $48 for babysitting 6 hours,and Mr.Vaquez pays her $67.50 for babysitting 9 hours,Who pays Kristin the better salary? Explain your answer
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while $67.50 /9 hrs is only $7.50 hrly
How do you solve this equation?
5 (x+2) = 7 (4 - x)
Answers
5x+10=28-7x
Add 7x to both sides
12x+10=28
Subtract 10 from both sides
12x=18
Divide both sides by 12
x=18/12
x=3/2
Final answer: x=3/2
Describe how to derive the quadratic formula from a quadratic equation in standard form. edginuity
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[tex]ax^2+bx+c=a(x^2+ \dfrac{b}{a}x+ \dfrac{c}{a} )\\ =a(x^2+2* \dfrac{b}{2a}x +( \dfrac{b}{a} )^2- (\dfrac{b}{a} )^2+\dfrac{c}{a})\\ =a((x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a^2} )\\ =a(x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a} [/tex]
Answer:
The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.
Step-by-step explanation:
A runner wants to run 10.0 km. she knows that her running pace is 7.5 miles per hour. how many minutes must she run?
Answers
7.5=10/time
Time =1.3333 hour=60+.3333*60=80 minutes
A runner must run for 50 minutes to cover the distance of 10 kilometers.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
A runner wants to run 10.0 km. she knows that her running pace is 7.5 miles per hour.
7.5 miles = 12 kilometers
Speed = 12 kilometers/hours
1 hour = 60 minutes
Speed = 12 / 60 kilometers per minute
Speed = 0.2 kilometers per minute
Time = distance/speed
Time = 10 / 0.2
Time = 50 minutes
Thus, A runner must run for 50 minutes to cover the distance of 10 kilometers.
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Match the following items.
1.) 2x + x + 4 = -17
2.) 3x + 4 = -17
3.) 3x = -21
4.) x = -7
Given
subtraction
combine like terms
division
Answers
2.) 3x + 4 = -17............combine like terms
3.) 3x = -21..................subtraction
4.) x = -7.....................division
The correct explanation for each expression are;
1. 2x + x + 4 = -17 Given
2. 3x + 4 = - 17 Combine like term.
3. 3x = - 21 Subtraction.
4. x = -7 Division.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 2x + x + 4 = -17
Now, Solve the expression for x by using suitable property as;
⇒ 2x + x + 4 = -17
Combine like term;
⇒ 3x + 4 = - 17
Subtract 4 both side;
⇒ 3x + 4 - 4 = -17 - 4
⇒ 3x = - 21
Divide by 3;
⇒ x = - 7
Thus, The correct explanation for each expression are;
1. 2x + x + 4 = -17 Given
2. 3x + 4 = - 17 Combine like term.
3. 3x = - 21 Subtraction.
4. x = -7 Division.
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Describe the transformation of ΔABC.
A) rotation of 90° about the origin
B) rotation of 60° about the origin
C) rotation of 180° about the origin
D) rotation of 270° about the origin
Answers
Answer:
Transformation of ΔABC rotation of 180° about the origin .
Step-by-step explanation:
Given : Coordinates of Δ ABC ,=A ( 3,5) , B( 6,1) , C( 0,1) .
Coordinates of Δ A'B'C' = A' ( -3,-5) , B'(- 6,-1) , C'( 0,-1) .
To find :
Describe the transformation of ΔABC.
Formula used : 180° rotation (clock wise and counter clock wise)
( x , y ) -------> ( -x , -y ).
Solution :
A ( 3,5)-------> A' ( -3,-5).
B( 6,1)---------> B'(- 6,-1).
C( 0,1).---------> C'( 0,-1) .
Therefore, the transformation of ΔABC rotation of 180° about the origin .
What is R such that PR : RQ = 2/5
Express as a coordinate
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P (-2, -2)
Q (4, 8)
Let the point R (x, y) divide the line segment PQ in a 2:5 ratio.
ΔPAR ≈ ΔPBQ because of AAA.
Therefore
[tex] \frac{PA}{PB} = \frac{2a}{2a+5a} \\\\ \frac{x+2}{6}= \frac{2}{7} \\\\7x+14=12 \\\\ 7x=-2 \\\\ x=- \frac{2}{7} [/tex]
Also,
[tex] \frac{AR}{BQ}= \frac{2}{7} \\\\ \frac{y+2}{10} = \frac{2}{7} \\\\ 7y+14=20 \\\\ 7y = 6 \\\\ y = \frac{6}{7} [/tex]
Answer:
R has the coordinates (-2/7, 6/7) or (-0.2857, 0.8571)
Answer this question please!
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Bottom number you get 0.14.
A sporting goods store pays $150 for a rubber raft. The percent of markup is 55%. Find the raft’s selling price.
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Eliminate the parameter. x = square root of t, y = 3t + 7
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x = √ t
Therefore t = x²
y = 3 t + 7
Answer:
y = 3 x² + 7
Answer:
y = x divided by three + 7
Step-by-step explanation:
observation often starts the scientific process observation is useful because it helps scientist_____
a) form questions
b) develop opinions
c) summarize data
d) write laws
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what is the intersection of plane stxw and plane stv
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Find all the real zeros of x3-2x2-5x+6=0.
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×=1
×=3
×=-2
×1=-2
×2=1
×3=3
Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value. 1,645.6 = _____
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Find the vertical, horizontal, and slant asymptotes, if any, for f(x)= 3x^3-28x^2+54x-24/x^2-8+7
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Long division gives a quotient of 3x - 4 so y = 3x - 4 is a slant asymptote
First, work out the domain of f(x).
The function is in form of algebraic fraction and it cannot be defined when the denominator is zero. The vertical asymptote is the same value of x that gives denominator = zero
[tex]x^2-8x+7 = 0[/tex] ⇒ Factorize
[tex](x-7)(x-1) = 0[/tex]
[tex]x-7=0[/tex] and [tex]x-1=0[/tex]
[tex]x=7[/tex] and [tex]x=1[/tex]
so, the vertical asymptote is at x = 1 and at x = 7
----------------------------------------------------------------------------------------------------------------
Horizontal asymptote:
The three rules to determine the horizontal asymptote
1) The polynomial degree of numerator SMALLER to the polynomial degree of denominator, the horizontal asymptote is at y = 0 (along the x-axis)
2) The polynomial degree of numerator HIGHER than the polynomial degree of denominator, there is no horizontal asymptote
3) The polynomial degree of numerator EQUAL to the degree of the denominator, divide the coefficient of the highest degree term.
We have numerator = 3x³ - 28x² + 54x - 24 [this is a polynomial of degree 3]
We have denominator = x^2-8x+7 [this is polynomial of degree 2]
The polynomial degree of numerator > polynomial degree of the denominator, so there is no horizontal asymptote.
----------------------------------------------------------------------------------------------------------------
Slant asymptote:
Divide the numerator by the denominator
[3x³-28x²+54x-24] ÷ [x²-8x+7]
Refer to the diagram below
We have the result of 3x - 4 with a remainder
So the slant asymptote is 3x - 4
Consider points R, S, and T. Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.
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c- one plane can be drawn so it contains all three points.
(i just took this on a mastery test)
Answer: The answer is (c) One plane can be drawn so that it contains all three points.
Step-by-step explanation: We are given three points R, S and T in a coordinate plane. Considering all these three points to be distinct and non-collinear, we can draw the following conclusions.
(i) Since each pairs of points. i.e., (R,S), (S,T) and (T,R) give rise to a straight line when joined, so option (a) is incorrect.
(ii) Through any two given points, we can always draw a line. If we consider a third point and since we are dealing with non-collinear points, so one line cannot be drawn through three points.
(iii)We can always draw a line by joining two points and when we join the two ends of the line to a third point which does not lie on the line, it will give rise to a plane. So, option (c) is correct.
(iv) We cannot draw two different planes through three given points. If we do so, the new plane will coincide with the previous one. This proves that option (d) is not correct.
Please see the attached figure, where P, Q and R are three non-collinear points. They give rise to a plane.
Thus, the correct option is (c).
What is the range of the following relation?
all real numbers
x ≤ 0
y ≤ 0
Answers
y ≤ 0
ExplanationRemember that the range is all the possible y-values that the relation can take. We can see in the picture that the repletion is always bellow of the positive y-axis, so the relation can take only negative y-values or zero. In other words, the range of the relation is all the y-values greater or equal than zero, which we represent with the inequality: y ≤ 0. The domain, on the other hand, is all the real numbers; since x can take any value.
Answer:
y ≤ 0 is the correct answer
Step-by-step explanation:
you gots to see it through mah boi
How many 2/3
cup servings are there in a 12-cup pitcher of orange juice?
Answers
12 * 3/2
36/2
18 cups
Hope this helps!
18 times 2/3 the answer should be there
The length of a rectangle is 3 inches more than the width. the perimeter is 30 inches. find the length and width.
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Which is the best estimate of each percent 48% of 199
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i need to know 725 miles in 8 hours miles per hour
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divide total miles by time
725/8 = 90.625 miles per hour
The equation of a line is x + 4y = 15.
What is the y-intercept of the line?
415
15
−15
154
Answers
Answer:
Option D.
Step-by-step explanation:
Y-intercept form of the equation of a line is given by y = mx + c
Where m = slope of the line
c = y-intercept
Given equation of a line is x + 4y = 15
We will transform this equation into the y intercept form first.
x + 4y = 15
4y = 15 - x
y = [tex]-\frac{x}{4}+\frac{15}{4}[/tex]
Therefore, y - intercept of this equation will be c = [tex]\frac{15}{4}[/tex]
Option D will be the answer.
A storeowner places a “No Smoking” sign in front of their store. This would be classified as a type of what factor.
Answers
This is because it mainly aims at preventing possible diseases that can occur to those who are smoking as well as those who are inhaling the gases produced in the air from smokers.
This sign encourages active smokers to put off their cigarettes and throw them away and it protects the non-smokers from being subjected to the smoke produced from smokers. By this, it reduces the risk of cancer.
Answer:
external pressure
Explanation:
This is the full question:
A sign in front of a store says "No Smoking.” What kind of factor is this sign?
external pressure
internal pressure
media influence
peer pressure
1.3 divided by 0.0338 step by step please
Answers
338*30=338*3*10
1 2 (what I carry is at the top)
338
x3
____
1114
Multiplying that by 10, I get 11140, which isn't enough. Trying 338*40, which is 338*4*10, we can add 338 to 338*3 to get 338*4 to get
2
1114
+338
____
1462
Multiplying that by 10, we get 14620, which is more than 13000 - something we don't want. Repeating this for 338*35 (which is 338*3.5*10, and 3.5 is 3*338+338/2)=11830 and which isn't enough, we then move on to something between 35 and 40 (the number doesn't matter), say 39. 338*39=338*3.9*10, and 338*3.9 is 338*3+338*9/10, and
338*39 results to 13182, which is more than 13000 , but only by a tiny bit, so we can try 38 using the same method, getting 12844, which is smaller, so we know it's between 38 and 39. Finding the difference between 13000 and 12844, we get 13000-12844=156 and the answer is therefore 38+156/338
During a huge snowstorm in the White Mountains last year, it snowed 61.5cm in one day. How much did it snow in meters? Be sure to include the correct unit in your answer.
Answers
The snowfall during the snowstorm in the White Mountains was 61.5 cm, which is equivalent to 0.615 meters when converted.
Explanation:To convert the snowfall from centimeters to meters, we need to understand that 1 meter is equivalent to 100 centimeters. With this, to find the snowfall in meters, you simply divide the snowfall in centimeters by 100. So, the snowfall of 61.5 centimeters would be 0.615 meters.
This is because:
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