$1313.70 is the answer after a 51% markup
Final answer:
The selling price of a dining room set with a 51% markup on the selling price, and an actual cost of $870, is calculated to be $1775.51.
Explanation:
To determine the selling price of a dining room set with a 51% markup on the selling price based on the actual cost of $870, we first need to recognize the markup is on the selling price and not on the cost. Let the selling price be represented by the variable S. The markup can be represented by S multiplied by 51% (or 0.51), so we have:
Actual Cost + Markup = Selling Price
$870 + (0.51 × S) = S
To solve for S, we need to isolate it on one side of the equation:
$870 = S - (0.51 × S)
$870 = S(1 - 0.51)
$870 = S(0.49)
Now we divide both sides by 0.49 to solve for S:
S = $870 / 0.49
S = $1775.51
Therefore, the selling price of the dining room set at Macy's is $1775.51.
Evaluate the expression.
8^7/8^7
The value of the expression (8^7)/(8^7) is 1.
The expression (8^7)/(8^7) can be simplified using the properties of exponents. According to the quotient rule of exponents, when dividing two numbers with the same base, the exponents are subtracted. In this case:
(8^7)/(8^7) = 8^(7-7) = 8^0
Any non-zero number raised to the power of 0 is equal to 1, according to the fundamental property of exponentiation. Therefore, the value of the expression (8^7)/(8^7) is 1.
Hence, the value of the expression (8^7)/(8^7) is 1.
By applying the quotient rule of exponents, we simplify the expression to 1, reflecting the property of exponentiation where any non-zero number raised to the power of 0 equals 1.
Explain why a semi-truck will accelerate more slowly than a motorcycle?
the semi truck has more weight than a motorcycle. the truck will have to go slow with it carring the passangers and the cargo, alonf with the weight of the trailer and and the weight of the cab itself. the motorcycle will only carry the passanger and the cycle its self. theres a big weight difference. anorher thinf is the motors are both a different size. the motorcycles motor is alot smaller than the trucks so the bikes motor will get ready faster. the same goes with alot of pick up trucks. some trucks have a weight to start signal because they are trying to get the motor ready.
I hope this helps.
Answer:
The semi-truck has more weight than the motorcycle.
Step-by-step explanation:
Obviously a truck is heavier than a motorcycle, so it will have more inertia. Hope this helps!
which two numbers are solutions of 2n - 15≤ = -3
×║thank you║×
Answer:
n ≤ 6
Step-by-step explanation:
2n - 15 ≤ -3
Add 15 to both sides.
2n ≤ 12
Divide both sides by 2.
n ≤ 6
The solution of this inequality is any number less than or equal to 6. There is an infinite number of solutions. Since you are asked to pick two numbers that are solutions, I assume you have choices that were given. Look at the choices, and pick any number less than 6 and 6 itself if it is a choice.
The answer for which two numbers are solutions of 2n - 15≤ = -3
Is n≤ 6
What is the surface area of this cylinder? Please show steps!
Answer:
251.33
Step-by-step explanation:
the formula is π r-squared h
so the formula for this question is π (2 squared)(20)
you will square 2 to get 4 then multiply that by π then lastly multiply by 20
Answer:
area = (exact) 88pi ft^2 or (approximate) 276 ft^2
Step-by-step explanation:
The surface area of a cylinder is the sum of the areas of the bases, two circles, and the lateral area which is a rectangle.
Each base is a circle, and the two bases are congruent, so find the area of one base and multiply by 2.
The lateral area is a rectangle. You need to find the length and width of the rectangle. Think of a can of food with a label wrapped around. If you make a vertical cut from one base to the other, and you unwrap the label, you will see that the lateral surface of a cylinder is a rectangle that has the height of the cylinder as its length, and the circumference of the base are its width.
area of circle = pi *r^2
area of rectangle = length * width
length of rectangle: length = 2(pi)r
width of rectangle: width = height = h
total area of cylinder = area of bases + lateral area
total area of cylinder = 2 * pi *r^2 + 2(pi)r * h
total area of cylinder = 2 * pi * (2 ft)^2 + 2 * pi * 2 ft * 20 ft
total area of cylinder = 8pi ft^2 + 80pi ft^2
total area of cylinder = 88pi ft^2
The exact area is 88pi ft^2.
If you need an approximate area, then use 3.14 for pi.
area = 88 * 3.14 ft^2
area = 276 ft^2
Twelve students earned A's. This was 3/8 of the students in the class. What percent of the students did not earn A's?
Answer:
62.5% of the class
Step-by-step explanation:
If 12 students is 3/8 of the class, the ones who earned A's, then 5/8 did not earn A's.
Let c represent the total number of students in the class.
Then (3/8)c = 12, and c = (8/3)(12) = 32.
5/8 of these 32 students did not earn A's: (5/8)(32) = 20.
These 20 students constitute 20/32 of the class, or 0.625 of the class, or 62.5% of the class.
Identify the rule for function table
Answer:
i think that it is y=12-x
Step-by-step explanation:
Answer:
Y = x÷2
Step-by-step explanation:
For this purpose, we have to examine all the x and y values.
Looking at the first x value which is 24, the output is 12 which is half of the input.
Then for second input x=12, the output is y=6, which again is half of the output.
Then for the last value of x, the same rule applies.
So we can conclude that y=x/2 or y=x÷2.
So option C is the right answer..
Which description best fits the distribution of the data
shown in the histogram?
A. The mean is greater than the median.
B. The mean and median are approximately the same
C. The mean is less than the median
Answer:
The correct option is A.
Step-by-step explanation:
From the given histogram it is clear that it is right skewed or positive skewed distribution because the tail is stretched toward right.
Negative skewed: Mean < Median < Mode
No skewed: Mean = Median = Mode
Positive skewed: Mean > Median > Mode
Since the given histogram is positive skewed distribution, therefore mean is greater than the median.
Hence the correct option is A.
PLZZZ HELP ASAP!!!!!!!!!!!!!!!!It is a 75 mile trip to your grandparent's house. Which divisibility rule proves that 75 is an odd number? A) divisibility by 1 B) divisibility by 2 C) divisibility by 3 D) divisibility by 5
Divisibility by 2 would be the correct answer. Two is an even number, and the only listed at that. Odd numbers are only divisible by another odd number. Hope I helped you !
Answer:
the answer is B) divisibility by 2
Step-by-step explanation:
I got the answer on the USA test prep.
thanks for your help with brainly
what is the coordinates of the vertex of y+10=4(x-1)^2
Answer:
(1, -10)
Step-by-step explanation:
Only the y can be on the left hand side. The square has been completed so all you need do is transfer the 10 to the right and read the x,y values for the vertex.
I have provided a graph to show you that the vertex and my answer are the same (hopefully).
y + 10 = 4(x - 1)^2 Subtract 10 from both sides.
y + 10-10=4(x -1)^2 -10 Combine
y = 4(x - 1)^2 - 10
Now we need to make the square term = 0
x - 1 = 0 Add 1 to both sides
x - 1 + 1 = 0 +1 Combine
x = 1 When x = 1 the square term will equal 0.
The vertex should be (1, - 10)
A. They sold the least lemonade with the recipe that used 3 lemons
B. They sold the least lemonade with the recipe that used 7 lemons
C. They sold the most lemonade with the recipe that used 3 lemons
D. They sold the most lemonade with the recipe that used 7 lemons
Answer:
B. They sold the least lemonade with the recipe that used 7 lemons
Step-by-step explanation:
Answer:
B. They sold the least lemonade with the recipe that used 7 lemons
Step-by-step explanation:
As can be seen from the graph the points are
(3, 37)
This means that when they used 3 lemons then they sold around 37 cups
(4, 32)
This means that when they used 4 lemons then they sold around 32 cups
(5, 40)
This means that when they used 5 lemons then they sold around 40 cups
(6, 35)
This means that when they used 6 lemons then they sold around 40 cups
(7, 26)
This means that when they used 7 lemons then they sold around 26 cups
It can be seen that the last case is when they sold the least number of cups.
Which table represents a linear function
It is the first one because the X side is going up at a steady rate and the Y is also going up at a steady rate
From the given table, table 1 represents the linear function.
Rate of change can be used to detect a linear function.
We can calculate rate of change to check whether the given coordinates represent linear relationship or not.
Formula used to calculate rate of change, m
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].......................................................1
For table 1:
Calculating value of m using eq 1 for points (2,7) and (4,9)
[tex]m=\dfrac{9-7}{4-2}\\\\m=1[/tex]
Similarly,
Calculating value of m using eq 1 for points (6,8) and (11,13)
m=1
Slope remains same. So, it shows linear relationship.
For table 2:
Calculating value of m using eq 1 for points (1,7) and (2,9)
[tex]m=\dfrac{9-7}{2-1}\\\\m=2[/tex]
Similarly,
Calculating value of m using eq 1 for points (3,12) and (4,15)
m=3
Value of slope changes from 2 to 3. Thus, it does not show linear relationship.
For table 3:
Calculating value of m using eq 1 for points (1,7) and (2,11)
[tex]m=\dfrac{11-7}{2-1}\\\\m=4[/tex]
Calculating value of m using eq 1 for points (3,12) and (4,13)
m=1
Value of slope changes from 4 to 1. Thus, it does not show linear relationship.
For table 4:
Calculating value of m using eq 1 for points (2,7) and (4,9)
[tex]m=\dfrac{9-7}{4-2}\\\\m=1[/tex]
Calculating value of m using eq 1 for points (6,12) and (8,15)
m=3/2
Value of slope changes from 1 to 3/2. Thus, it does not show linear relationship.
So, the Slope of table 1 is the same for all the coordinates. Thus, table 1 represents a linear function.
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Is a equilateral triangle always acute triangle
Yes an equilateral triangle is a type or acute triangle.
Answer: yes
Step-by-step explanation: An acute triangle means that all of the angles of the triangle are less than 90 degrees.
Since a triangle has three angles which always add to 180 degrees
and an equilateral triangle must have all of the same angles, it's impossible
to have an equilateral triangle that measures anything other than 60°.
Find the length of AB. Leave your answer in terms of pi
Answer:
14.7π
Step-by-step explanation:
The length of the arc is calculated as
arc AB = circumference × fraction of circle
= 2π × 6 × [tex]\frac{140}{360}[/tex]
= [tex]\frac{12(140)\pi }{360}[/tex] = 14.7 π
What did cicero mean by delivery
cicero meant to transfer something to someone .
Answer:
Body language and vocal technique
Step-by-step explanation:
What is the value of x?
A. 20
B. 35
C. 60
D. 70
Answer:
A. 20
Step-by-step explanation:
Since they both reflect each other, you would set (3x)° equal to (x + 40)°. Then move -x to the other side of the equivalence symbol to get 40 = 2x. This is how x is defined. You immediately divide by 20 to get your result above.
I am joyous to assist you anytime.
Solve equation 5(n-4) = -60
Answer:
n = -8
Step-by-step explanation:
The variable has 4 subtracted and that quantity is multiplied by 5. You can find the value of the variable by reversing these operations, in reverse order. That means you first divide both sides of the equation by 5:
5(n-4)/5 = -60/5
n -4 = -12 . . . . . . simplify
Then you undo the subtraction of 4. You accomplish that by adding 4 to both sides of the equation.
n -4 +4 = -12 +4
n = -8 . . . . . . . . . simplify
_____
This equation can also be solved by first eliminating parentheses. Then you have
5n -20 = -60
Now, the variable is multiplied by 5, then 20 is subtracted from the sum. Reversing these operations in reverse order, we first add 20 to both sides of the equation:
5n -20 +20 = -60 +20
5n = -40 . . . . . . . . . . . . . simplify
Then we undo the multiplication by dividing both sides of the equation by 5:
n = -8
_____
The rule to remember is "whatever you do to one side of the equation must also be done to the other side". This is what keeps the equal sign valid.
Answer:
n = - 8
Step-by-step explanation:
There are 2 possible approaches to solving this question
method 1
5(n - 4) = - 60 ( divide both sides by 5 )
n - 4 = - 12 ( add 4 to both sides )
n = - 8
method 2
5(n - 4) = - 60 ( distribute left side )
5n - 20 = - 60 ( add 20 to both sides )
5n = - 40 ( divide both sides by 5 )
n = - 8
HELP 30 POINTS !!!!! What information about the houses that is not shown in this data could affect housing prices? Check all of the boxes that apply.
the location of the houses
the size of the houses
the selling prices
the conditions of the houses
the value of the houses relative to other homes in the same area
Answer:
1, 2, 4, 5
Step-by-step explanation:
e2020 (edgen)
The information about houses that can affect housing prices are:
the location of the housesthe size of the houseshe conditions of the housesthe value of the houses relative to other homes in the same areaWhat are the factors that affect housing pricing?If a house is located in a prime location, its values would be higher than that of houses not located in prime areas. The bigger a house is, the higher its value. If a house is fitted with modern facilities, its value would be higher than that of other houses.
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I’m stuck on this question can some help me ?????
Answer:
plant B would recycle 60 more red bottle and plant c would recycle 38 more bottles
Step-by-step explanation:
Which phrase is represented by the expression 5x ( 36+ 9)?
Final answer:
The expression 5x (36+9) simplifies to 225 by first adding the numbers in the parentheses (36+9) to get 45, and then multiplying 5 by 45.
Explanation:
The expression 5x (36+9) represents the phrase 'five times the sum of thirty-six and nine.' To evaluate this expression, you first perform the operation inside the parentheses. In this case, you add 36 and 9, which equals 45. After simplifying the parentheses, the expression becomes 5x45. As the final step, you multiply 5 by 45, which equals 225. Therefore, the expression 5x (36+9) equals 225.
Which letter could represent sin -135°?
A. a
B. b
C. c
D. d
Answer:
Option D.
Step-by-step explanation:
we know that
Angle -135° is equal to
360°-135°=225°
The angle belong to the III quadrant
225°-180°=45°
sin(45°)=d/1=d
therefore
sin(-135°)=-sin(45°)=d ---> the value is negative
If a cone and sphere have the same radius and the same height, what is the relationship among the volumes of the two shapes?
Answer:
the volume of the sphere will be 4 times the volume of the cone;
Step-by-step explanation:
The question is on volume comparison
Volume of a sphere=4/3 [tex]\pi[/tex]×r³
Volume of a cone= [tex]\pi[/tex]/3×r²h
where r is the radius and h is the height
Apply the condition
If r=h=1 unit
Then volume of sphere will be= 4/3 × [tex]\pi[/tex]×1³ = 4/3[tex]\pi[/tex]
And volume of the cone will be= [tex]\pi[/tex]/3 ×1²×1 =[tex]\pi[/tex]/3
We can see the volume of the sphere will be 4 times the volume of the cone;
4/3[tex]\pi[/tex] = 4×[tex]\pi[/tex]/3
The volume of the sphere is exactly twice the volume of the cone.
To establish the relationship between the volumes of a cone and a sphere when they have the same radius and height, we need to use the formulas for the volumes of these shapes.
Let's denote the radius of both the cone and the sphere as r and the height of the cone (which is also the diameter of the sphere) as h .
The volume V of a sphere is given by the formula:
[tex]\[ V_{\text{sphere}} = \frac{4}{3}\pi r^3 \][/tex]
The volume V of a cone is given by the formula:
[tex]\[ V_{\text{cone}} = \frac{1}{3}\pi r^2 h \][/tex]
Since the height of the cone is the same as the diameter of the sphere, we have [tex]\( h = 2r \).[/tex]Substituting this into the volume formula for the cone gives us:
[tex]\[ V_{\text{cone}} = \frac{1}{3}\pi r^2 (2r) = \frac{2}{3}\pi r^3 \][/tex]
Now, we can compare the volumes of the two shapes:
[tex]\[ V_{\text{sphere}} = \frac{4}{3}\pi r^3 \] \[ V_{\text{cone}} = \frac{2}{3}\pi r^3 \][/tex]
Dividing the volume of the sphere by the volume of the cone, we get:
[tex]\[ \frac{V_{\text{sphere}}}{V_{\text{cone}}} = \frac{\frac{4}{3}\pi r^3}{\frac{2}{3}\pi r^3} = \frac{4}{2} = 2 \][/tex]
Therefore, the volume of the sphere is exactly twice the volume of the cone when they have the same radius and height.
7 times the sum of a number and 4 is the same as 8 decreased by 3 times the number. Find the number
Answer:
7(x4) = 8-x
Step-by-step explanation:
Answer:
x= -2
Step-by-step explanation:
7(4+x)=8-3x would be your equation
your first step would be to move your 3x to the other side of the equation by adding 3x to both sides after this your equation should look as follows: 7(4+x)+3x=8 2nd: you should distribute your 7 to the numbers inside of the parenthsis and combine like terms to get 10x+28=8 then you move your 28 to the other side by subracting 28 and you will get 10x=-20 divide by ten to get the answer which is x=-2
Help for the two questions shown.
(1) the answer for this question is 33 metre square
rectangle is 4*7 that is 28meter square +5 m^2
33m^2
(2) answer for this question is 19 yard square
area of square is 3*3 that is 9m^2+10m^2
19m^2
hope it helps you !!!!!!!
PLZ HELP GIVING AS MANY POINTS AS I CAN
7 and trinomial i believe !
chan bought a 345$ smartphone but his total was 365.70 what percent sales tax did he pay?
6%.
365.70-345=20.7
345*.06=20.7
The percentage of the sales tax Chan pay if Chan bought a $345 smartphone, but his total was $365.70 is 6%.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
The cost of smartphone = $345
The total amount = $365.7
Calculate the percentage as shown below,
Percentage of tax = The total amount - The cost of smartphone / The cost of smartphone × 100
Percentage of tax = (365.7 - 345) / 345 × 100
Percentage of tax = 20.7 / 345 × 100
Percentage of tax = 0.06 × 100
Percentage of tax = 6 %
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what is the area of parallelogram abcd? HELP THIS IS TIMED
Answer:
13.04 square units
Step-by-step explanation:
Since this is a parallelogram, we only need to solve for the sides of 2 sides.
We can use the distance formula.
The distance from A --> D :
A(3,6) and D(2,2)
2 - 3 = -1
-1^2 = 1
2 - 6 = -4
-4^2 = 16
1 + 16 = 17
[tex]\sqrt{17}[/tex]
The distance from A --> B :
A(3,6) and B(6,5)
6 - 3 = 3
3^2 = 9
5 - 6 = -1
-1^2 = 1
9 + 1 = 10
[tex]\sqrt{10}[/tex]
Multiply.
[tex]\sqrt{10}*\sqrt{17}=13.04[/tex]
*Rounded to the nearest hundreth
which fraction will result in a repeating decimal?
A. 9/10
B. 2/5
C. 3/8
D. 2/11
Answer:
2/11 = 0.181818...
D. is your repeating decimal.
Given T(2,5,4) and M(3,1,0) find The ordered triple that represents TM. Then find the magnitude of TM?
Answer:
c. [tex]\:<\:1,-4,-4\:>\:,\sqrt{33[/tex]
Step-by-step explanation:
Given T(2,5,4) and M(3,1,0);
[tex]^{\to}_{TM}=^{\to}_{OM}-^{\to}_{OT}[/tex]
[tex]^{\to}_{TM}=\:<\:3,1,0\:>\:-\:<\:2,5,4\:>\:[/tex]
[tex]^{\to}_{TM}=\:<\:3-2,1-5,0-4\:>\:[/tex]
[tex]^{\to}_{TM}=\:<\:1,-4,-4\:>\:[/tex]
The magnitude of this vector is :
[tex]|^{\to}_{TM}|=\sqrt{1^2+(-4)^2+(-4)^2[/tex]
[tex]|^{\to}_{TM}|=\sqrt{1+16+16[/tex]
[tex]|^{\to}_{TM}|=\sqrt{33[/tex]
Answer:
C
Step-by-step explanation:
Edge 2020 :)
What is the LCD of 3/4 and 7/10
the LCD is 20
[tex] \frac{3}{4} \times \frac{5}{5} = \frac{15}{20} \\ \\ \frac{7}{10} \times \frac{2}{2} = \frac{14}{20} [/tex]
Perform the indicated operation. X^3+43-49x-7x^2 divides by x^2-49
Answer:
The quotient is: x-7
and remainder is : -300
Step-by-step explanation:
We need to divide [tex]X^3+43-49x-7x^2[/tex] by [tex]x^2-49[/tex]
First arrange the term [tex]X^3+43-49x-7x^2[/tex] in terms of ascending order of x.
Arranging we get:
[tex]x^3 - 7x^2 -49x + 43[/tex] \ [tex]x^2-49[/tex]
The division steps are shown in figure attached.
The quotient is: x-7
and remainder is : -300
Answer: X - 7 R -300
(The person above me said it all and definitely deserves the brainliest)