Answer: [tex]25.9\%[/tex]
Step-by-step explanation:
Given
Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%
Suppose the marked price is [tex]x[/tex]
So, the selling price is [tex](1-0.15)x=0.85x[/tex]
Suppose the cost price is [tex]y[/tex]
[tex]\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x[/tex]
So, the percentage the shopkeeper marked his goods above cost price
[tex]\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%[/tex]
Sweatshirts at the school store cost $30. They currently sell about 4 shirts per month. They have decided to decrease the price of the shirts. They found the for each each $1.50 decrease, they will sell 2 more shirts per month. How many decreases in prices will give the max value?
A. 30
B. 9
C. 363
D. 16.50
A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
* Square feet
Answer:
33π square feet
Step-by-step explanation:
Volume = base area × height
132π = base area × 4
or, base area = 132π/4
or, base area = 33π
Answered by GAUTHMATH
find cosØ if sinØ=-12/13 and tanØ>0.
A) -5/12
B) -5/13
C) 12/5
D) -13/12
Answer:
-5/13
Step-by-step explanation:
sin theta = opp / hyp
sin theta = -12 /13
we can find the adj side by using the pythagorean theorem
adj^2 + opp ^2 = hyp^2
adj^2 +(-12)^2 = 13^2
adj^2 +144 =169
adj^2 = 169-144
adj^2 = 25
Taking the square root of each side
adj = ±5
We know that it has to be negative since it is in the third quad
adj = -5
cos theta = adj / hyp
cos theta = -5/13
Answer:
B) -5/13
Step-by-step explanation:
i hope it will help
plzz mark as brainliest if you want
How would I do this??
Part 1
[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]
Answer: -4/11
====================================================
Part 2
Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.
[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]
This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.
Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]
(3x)2 – 7y2, when x = 3 and y = 2
[tex]3 \times 3 \times 2 - 7 \times 2 \times 2 \\ 18 - 28 \\ - 10[/tex]
Answer:
115
Step-by-step explanation:
(3x)^2 – 7y^2
Plug in:
(3×3)^2 – 7×2^2
9^2 - 14^2
81 - 196
115
Hope this helped.
First, find the length of each edge of the cube.
Then, find the volume.
since in a cube length, width and height are equal,
h = 6
w = 6
l = 6
and volume is 6³ = 216cm³
hope it helps :)
2.1: Solve the one step equation
9. 70 = -5x
10. x4 = 36
11. 7x = -54
Answer:
-14, 9 and - 54/7
Step-by-step explanation:
70=-5x, x=-144x=36, x=97x=-54, x=-54/7
The circumference of a circle is 14 meters. Which of the following represents the area of the circle
Answer:
A = 49/pi
Step-by-step explanation:
C = 2 * pi *r
14 = 2 * pi *r
Divide each side by 2 pi
14/2pi = r
7/pi = r
The area is given by
A = pi r^2
A = pi ( 7/ pi)^2
A = pi * 49 / pi^2
A = 49/pi
Answer:
[tex]area = {15.61m}^{2} [/tex]
explanation is attached to the picture
Hope this helps you
what is the sum of the square root of 63 and 144,divided by 5
Answer:
Step-by-step explanation:
(√63 + 144)/5 = (3√7 + 144)/5 = 0.6√7 + 28.8
This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.
n = d + 74
The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?
Answer:
16+74
Step-by-step explanation:
substitute 16 into the equation
what number is smallest 2,-3,-10,-5,-2-1
Answer:
2,-3,-10,-5,-2-1The smallest number is -10
Answer:
it's -10
Step-by-step explanation:
Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.
hope this helps
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
they don't share any points
that's one thing, but I don't know what your options are of course.
see screenshot for illustration of the inequalities
A circle is represented by the equation below:
(x − 9)2 + (y + 8)2 = 16
Which statement is true?
a) The circle is centered at (−9, 8) and has a radius of 8.
b) The circle is centered at (9, −8) and has a diameter of 8.
c) The circle is centered at (9, −8) and has a radius of 8.
d) The circle is centered at (−9, 8) and has a diameter of 8.
Answer:
The center is (9,-8) and the diameter is 8
Step-by-step explanation:
(x − 9)^2 + (y + 8)^2 = 16
A circle is in the form
(x − h)^2 + (y -k)^2 = r^2 where (h,k) is the center and r is the radius
(x − 9)^2 + (y - -8)^2 = 4^2
The center is (9,-8) and the radius is 4
The diameter is 2 times the radius so the diameter is 8
The center is (9,-8) and the diameter is 8
In right triangle ABC, if AC = 5/13 and AB = 1, what is the length of BC?
Answer:
BC = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
BC² + AC² = AB²
BC² + ([tex]\frac{5}{13}[/tex] )² = 1²
BC² + [tex]\frac{25}{169}[/tex] = 1 ( subtract [tex]\frac{25}{169}[/tex] from both sides )
BC² = [tex]\frac{169}{169}[/tex] - [tex]\frac{25}{169}[/tex] = [tex]\frac{144}{169}[/tex] ( take square root of both sides )
BC = [tex]\sqrt{\frac{144}{169} }[/tex] = [tex]\frac{12}{13}[/tex]
Calculate the mean of the following list of numbers: 10, 12, 7, 9, 9, 11, 15, 9
PLEASE HELP!!!!
9
9.5
10.67
10.25
Please help me ill give brainliest!!
Answer:
3744.64
Step-by-step explanation:
To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.
Answer:
cylinder= A=πr²h
=3.14×4²×9
=452.16
rectangle=A=l×w×h
=19×11×11
=2299
total area=452.16+2299
=2751.16
Step-by-step explanation:
Problem 1 Find the mBC.
Answer:
m BC = 100
Step-by-step explanation:
Since the angle is at the center, the arc has the same measurement as the angle
m BC = 100
is 1/5 a rational or irrational number (20 points pls help)
Answer:
rational
Step-by-step explanation:
Answer:
it's Rational Number
Step-by-step explanation:
since each integer can't be written in the fraction form or for this example it would be thus 5 so it would be a rational number
If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there
Answer:
It is over 7 days
hope it helps
how many line of symmetry is this figure
Answer:
There are sixteen lines.
On a piece of paper graph
f(x) = {-1 if -1 <= x < 0}
{ -2 if 0 <= x < 0}
{ -3 if 1 <= x < 2
In this question, a piece-wise function is asked to be graphed.
Piece-wise function:
A piece-wise function is a function that has different definitions, depending on the input.
In this question, the function has three different definitions:
For x between -1(inclusive) and 0, y takes a constant value of -1.
For x between 0(inclusive) and 1, y takes a constant value of -2.
For x between 1(inclusive) and 2, y takes a constant value of -3.
Additionally:
At the inclusive points, the interval is circled, and thus, the graphic is given at the end of this answer.
For another example of the graphic of a piece-wise function, you can check https://brainly.com/question/16855064
Answer:
Step-by-step explanation:
1. (1, 3); (2, 3)
2. (0, 0) (1, 0)
3. (-1, 1) (0,0)
Maya just bought a refrigerator for $642. She paid $160.40 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?
Answer:
120.40 per payment
Step-by-step explanation:
Subtract the down payment
642 - 160.40
481.60
Divide this by 4
481.60 / 4
120.40
3. In a school, there are 450 students in total. If 2⁄3 of the total students are boys, find the number of girls in the school. What percent of the students are boys? Show your work or explain how you calculated your answer
Answer:
150 girls
66.7%
Step-by-step explanation:
2/3 × 450 = 300 boys
450 - 300 =150 girls
second question:
300/450 × 100
=66.66666667
=66.7% Students are boys
There are 150 girls in the school, and approximately 66.67% of the students are boys.
What percent of the students are boyslet's break this down step by step:
1. Total number of students: 450
2. Boys make up 2/3 of the total students.
Number of boys = (2/3) * 450
= 300 boys
3. To find the number of girls, subtract the number of boys from the total:
Number of girls = Total students - Number of boys
= 450 - 300
= 150 girls
Now, let's calculate the percentage of students that are boys:
Percentage of boys = (Number of boys / Total students) * 100
= (300 / 450) * 100
= 66.67%
So, there are 150 girls in the school, and approximately 66.67% of the students are boys.
Learn more about percentage at https://brainly.com/question/24304697
#SPJ3
A square has an area of 49 cm squared what is the length of each side
Answer:
7
Step-by-step explanation:
[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]
50 points and brainly
Trinas you company charges $0.86 per pound to ship toys. Part A: Write an equation to determine the totals cost, c, to ship p pounds of toys. Use your equation to determine the cost of shipping 2 pounds of toys. Path B: if the company reduces the cost to ship toys by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of toys with the reduced cost.
Answer:
Part A:
c = .86*p
c =1.72 for 2 lbs
Part B:
c =.81p
Step-by-step explanation:
Part A:
Total cost = cost per pound * number of pounds
c = .86*p
Let p = 2
c = .86*2
c =1.72
Part B:
Total cost = cost per pound * number of pounds
c = .(.86-.05)*p
c =.81p
What is the range of the function?
Answer:
all real numbers greater than or equal to 11
please HELP ME!!! (16 POINTS) due today :)))
Answer:
Step-by-step explanation:
I'm not sure what the question is asking, but if you mean the angles in the blue lines
First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10
Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60
Third one, the given angle is 75 so 90-75=15.
The answers would be 10, 60, and 15.
[tex](32)^{1/5}[/tex]
Answer:
2Step-by-step explanation:
[tex] {32}^{ \frac{1}{5} } [/tex]
[tex] = \sqrt[5]{32} [/tex]
[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]
= 2 (Ans)
Diagnostic
Analytics
When completing an online shopping transaction, a typical shopper takes 7 seconds to
select each product and another 9 seconds to complete the check-out process. If it takes 37
seconds to complete a transaction, how many products are being purchased?
products
Submit
Answer:
In 26 seconds to complete a transaction, 2 products are being purchased.
Step-by-step explanation:
1 item = 9 seconds
Time taken in all to check out = 8 seconds
Time taken to shop = 26 seconds
Now as check out process takes 8 seconds, so the
Time left to ACTUALLY SHOP = Total Time - Time Used to check out
= 26 seconds = 8 seconds = 18 seconds
Shopping of 1 item = 8 seconds
Shopping of 2 items = 2 x ( Time taken in 1 item) = 2 x 9 = 18 seconds
So, in 18 seconds, 2 clothing item can be selected.
Hence,in 26 seconds to complete a transaction, 2 products are being purchased.
8. The value of [3 - 4 * (3 - 4) ^ 4] ^ 3 is
a) 1
b) -1
c)0
d) 7
help me please
Answer:
-1
Step-by-step explanation:
[3-4(-1)^4]^3
=>(3-4)^3
=>(-1)^3
=>-1
Answer From Gauth Math
Answer:
-1
Step-by-step explanation:
[tex][3-4*(3-4)^4]^3[/tex]
[tex](3-4)^4= 1\\Therefore, [3-4*1]^3= -1^3\\So, -1^3= -1\\\\[/tex]
Cube of any negative integer will be negative, or, a negative integer raised to any odd number will be negative. Likewise, a negative integer raised to an even number will be positive.
