Answer:
30% profit
Step-by-step explanation:
The amount by which the shopkeeper reduced the advertised selling price = 20%
The resulting profit over the cost price = 4%
Let x represent the initial advertised selling price, and let y represent the new selling price, and let c represent the cost price, we have;
x - 20% of x = y
x - x × 20/100 = y
0.8·x = y
y = c + 4% of c = 1.04·c
∴ 0.8·x = 1.04·c
x = 1.04·c/0.8 = 1.3·c
x = 1.3·c = c + 0.3·c = c + 30% of c
x = c + 30% of c
From which we have that the initial advertised selling price, x = The cost price + 30% of the cost price
Therefore, the initial advertised selling price = The cost price + 30%profit on cost price.
The shopkeeper would have made 30% profit if the dress had then been sold at the original selling price.
3/5n+15=10+2/5n what is n
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{3}{5}n +15=10+\dfrac{2}{5}n}[/tex]
[tex]\mathsf{\bf{SUBTRACT}\ \mathsf{by\ \dfrac{2}{5}n\ from\ both\ of\ your\ sides}}[/tex]
[tex]\mathsf{Like: \dfrac{3}{5}n+15-\dfrac{2}{5}n=\dfrac{2}{5}n+10-\dfrac{2}{5}n}[/tex]
[tex]\mathsf{\bf{CANCEL: \dfrac{3}{5}+\dfrac{2}{5}}}\textsf{out\ because that gives you\ 1}[/tex]
[tex]\textsf{Solve\ the set we have left over}[/tex]
[tex]\mathsf{Our\ new\ equation\ becomes: \dfrac{1}{5}n+15=10}[/tex]
[tex]\mathsf{\bf{SUBTRACT}}\textsf{ by 15 on both of your sides}[/tex]
[tex]\mathsf{\dfrac{1}{5}n+15-15=10-15}[/tex]
[tex]\mathsf{Cancel\ out: 15-15\ because\ that\gives\ you\ 0 }[/tex]
[tex]\mathsf{Keep: 10-15\ because\ it\ helps\ us\ solve\ for\ your\ n }[/tex]
[tex]\mathsf{10-15=-5}[/tex]
[tex]\mathsf{New\ equation: \dfrac{1}{5}n=-5}[/tex]
[tex]\mathsf{\bf{MULTIPLY}\mathsf{\ both\ sides\ by\ 5}}[/tex]
[tex]\mathsf{\dfrac{1}{5}n\times5=5\times-5}[/tex]
[tex]\mathsf{Cancel\ out\ \dfrac{1}{5}\times5 \ because \ it \ gives \ us \ 1}[/tex][tex]\mathsf{Keep: 5\times -5\ because\ it\gives\ us\ the\ value\ of\ your\ n}[/tex]
[tex]\mathsf{n =5\times-5}\\\mathsf{5\times-5 = -25}[/tex]
[tex]\textsf{Thus, \underline{\bf{n = -25}}}\checkmark[/tex]
[tex]\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\bf{n =-25}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
A total of 202 tickets were sold for a theatre showing. If child tickets cost $6 and adult tickets cost $10, how many tickets of each were sold if the theatre earned a total of $1708.
Answer:
167 adult tickets were sold
35 children tickets were sold
Step-by-step explanation:
Let the number of adult tickets be x
Let the number of children tickets be y
Total number of each ticket sold;
x + y = 202 equation 1
Total cost of the tickets
10x + 6y = 1708 equation 2
Let
x= 202 - y equation 3
Substitute 3 into 2
10(202 - y) + y = 1708
2020 - 10y + y = 1708
-9y = 1708 - 2020
-9y = -312
y= 35
Substitute y =35 into 1
x + 35 =202
x= 202 - 35
x= 167
Therefore;
167 adult tickets were sold
35 children tickets were sold
(2 x 1058) * (2 x 10-27)
A.) Translation
B.) Rotation
C.) Reflection
D.) Dilation
Answer: Dilation
Step-by-step explanation: Dilations are when a shape is transformed into something bigger or smaller
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form. (-6,6), (6,2)
Point-Slope form = y-y1=m(x-x1)
Y-6 = -1/3 (x+6)
Slope-intercept form = Y=mx+b
y = -1/3 + 4
The equation of line is y= -2/3x + 2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Points: (-6,6), (6,2)
Slope= (-2 - 6)/( 6 -(-6))
slope= -8 / 12
slope= -2/3
Now, using slope intercept form
y-b = m(x- a)
y- 6 = -2/3( x + 6)
y -6 = -2/3x - 4
y= -2/3x + 2
Hence, the equation of line is y= -2/3x + 2.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
Consider the two graphs above.
Which statement best describes the graphs?
A. Graph 1 represents a proportional relationship, but graph 2 does not.
B. Graph 2 represents a proportional relationship, but graph 1 does not.
C. Both graph 1 and graph 2 represent proportional relationships.
D. Neither graph 1 nor graph 2 represent a proportional relationship.
Answer:
B. Graph 2 represents a proportional relationship, but graph 1 does not.
Step-by-step explanation:
All proportional relationships pass through the origin. Graph 2 does but Graph 1 does not. Additionaly, Graph 2 is a straight line that represents a proportional relationship. Another way to find out if it is proportional is to find the constant of proportionality by dividing the y by the x in different parts of the line. The numbers should all have the same constant of proportionality.
Examples (all found in Graph 2):
15/3 = 5
10/2 = 5
5/1 = 5
HELP I HAVE TEN MINUTES!!!!!
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Peter says, "If you subtract 12 from my number and multiply the difference by −7, the result is −175." What is Peter's number
Answer:
37
Step-by-step explanation:
let’s say peter’s number is x
(x-12)(-7) = -175
-7x + 84 = -175
-7x = -259
x = 259/7
x = 37
Answer:
The number is 37.
Step-by-step explanation:
-175 ÷ -7 = 25
25 + 12 = 37
You have to work backwards from -175 by doing the reverse of what peter did to get the original number.
I need help NOW please!!!
Answer:
B)34
Step-by-step explanation:
Answer:
B.34°
supplementary angles
their sum is 180
180=146+x
x=180-146=34
-12(k + 4) = 60
Distributive property
Answer:
If we are solving for 'k,' then k = -9
Find the slope of the graph. Write it as a fraction or whole number (not a mixed number).
3/5
all u have to do is find two point and count down and to the side basically find the distance of those two points to find the slope.
Answer:
3/5
Step-by-step explanation:
From what I can see two points of the line are (0,1) and (5,4) so you can just count and do rise/run which is y/x or the formula which is like y^2-y^1/x^2-x^1 they both get the same answer which is 3/5
If you plug the numbers into the formula it gives you 4-1/5-0 which is 3/5
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = -1x+4
Step-by-step explanation:
Hope this helps!
what is the difference between twice a number that is 5 more than it is 3
NEED THIS IN NUMBER FORM
Answer:
The difference between twice a number and a number that is 5 more than 3. Write an equation that could be used to find the value of the number n,
Answer:
2n-8
Step-by-step explanation:
twice a number = 2n
5 more than 3 is 8
difference means subtraction
Eric earned 60 points on his last test. If there was 75 possible points, WHAT was his PERCENT grade?
Answer:
80
Step-by-step explanation:
Eric-- 60/75
Percentage of Eric ---- 60/75 *100
Eric got 80 percentage in his last test.
Amy needs to fill a tank that has a capacity of 112L. She using a bucket to collect water from the tap. The bucket can hold 7L of water. How many trips she needs to make to fill half of the tank? *
Answer:
8 trips
Step-by-step explanation: divided 112 by 2 then I got 56 which I then divided that by seven which gave me the answer of 8
(2x+5+8)/x-2 there should be a remainder left, pls help
Answer: 13/2
Decimal answer 6.5
im sorry if it was wrong it was what I got
Step-by-step explanation:
Find the distance between A and B .
Answer:
2 and 6/10 or 2 and 3/5
Step-by-step explanation:
qazxwsdcerfvtbgynhumjilkop
Answer:
2 and 3/5 or 2 and 6/10
Step-by-step explanation:
Count the whole numbers and then count each line all the way till it reaches the whole number. If you can simplify then simplify both numbers by a number that goes in them both.
please help me i cant do this question
Answer:
Step-by-step explanation:
[tex]x^{\frac{1}{2} }[/tex] × [tex]x^{\frac{1}{4} }[/tex] = [tex]x^{\frac{1}{2} +\frac{1}{4} }[/tex] = [tex]x^{\frac{3}{4} }[/tex]
The directions on a sewing pattern say to buy an extra 12.5% of fabric to account for error. Sam needs 2.75 yards of fabric to make a shirt, so he buys 2.4 yards. Choose the correct statement.
A.Sam bought the correct amount of fabric because he bought what was suggested.
B.Sam bought the correct amount of fabric because he needs less than 2.4 yards.
C.Sam did not buy the correct amount of fabric because he needs less than 2.4 yards.
D.Sam did not buy the correct amount of fabric because he should have bought 3.09 yards
Answer:
Sam should have bought 3.09 yards of fabric instead of 2.4 yards
So, Option D is correct.
Step-by-step explanation:
Total fabric needed by Sam = 2.75
According to directions on a sewing pattern they say to buy an extra 12.5%
So, extra fabric would be: 12.5% of 2.75
Solving
[tex]12.5\% \ of \ 2.75\\=\frac{12.5}{100}\times 2.75 \\=0.343[/tex]
Now adding 0.343 into 2.75 to get extra fabric quantity:
2.75+0.343
=3.09
Therefore Sam should have bought 3.09 yards of fabric instead of 2.4 yards
So, Option D is correct.
A bowl of fruit contains a 4: 1 ratio of blueberries to strawberries. There is a total of 65 berries in the bowl. How many of them are blueberries and how many are strawberries?
9514 1404 393
Answer:
52 blueberries13 strawberriesStep-by-step explanation:
There are a total of 4+1 = 5 ratio units, so each one stands for 65/5 = 13 berries.
blueberries : strawberries = 4 : 1 = 52 : 13
There are 52 blueberries and 13 strawberries in the bowl.
What is the value of the expression when a = –5 and c = –1
Answer:
1 times anything is always the number that is being multiplied so the answer would be 5
Step-by-step explanation:
Please help will give brainlist
Answer:
g(10) = 31
f(-3) = -2
h(2) = -7
j(7) = 333
j(3) = 17
I hope the last 2 were for the same function lol
Ali was earning $15 per hour before receiving a 10% raise. What is Ali’s new hourly rate? Write and solve an equation.
Answer:
12.56
Step-by-step explanation:
A was earning $15 per hour before receiving a 10% raise. What is Ali’s new hourly rate? Write and solve an equation.
how many sig figs does 5 280 feet have ?
Answer:I think 3
Step-by-step explanation: All numbers not zero, so 5 2 8
ME ajudem porfavor não aguento mais, tá muito dificil
questão: Determine o valor de x em...
Answer:
say it in English plZz
I can't understand Spanish or whatever ur saying sorry
State the equation that results when both sides of 2x - 3y = -4 are multiplied by -3.
Answer:
6x - 9y = -12
Step-by-step explanation:
2x - 3y = -4 multiply both sides by 3 by adding paranthesis to represent this
3( 2x - 3y ) = 3 (-4) Then use distributive property for the left side equation
6x - 9y = -12 Finally just multiply -4 by 3 and you get this equation
Which of the following could Not be the side length of a right triangle?
Answer:
I think ITS B
Step-by-step explanation:
Hope this helped
-BB
What is the simplified value of the expression below?
Negative 2.6 + 5.8
–8.4
–3.2
3.2
8.4
Answer:
i did that quiz the answer is 3.2
Step-by-step explanation:
your welcome
Answer:
3.2
Step-by-step explanation:
Chick-fil-A offers its customers a choice of regular and diet soda. Last night, Chick-fil-A served 50 sodas in all, 27 of which were regular. What percentage of the sodas were regular?
Answer:
54%
Step-by-step explanation:
We know Chick-fil-A served 50 sodas in all, 27 of which were regular. The fractional form of this is 27/50. Now, we can convert this to a fraction with a denominator with 100, then a percentage. 27/50 is equal to 54/100.
54/100 is 54%
Answer:
is 54.the max is 100 percent.the percentage of regular sodas is 54 percent.you do this by timing 50 and 27 by 2 to get 100 and 54.
Step-by-step explanation:
find the quadratic equation