Given:
A store manager purchased hoodies for $24.99 apiece.
He sells the hoodies for $32.
To find:
The markup percentage.
Solution:
We have,
Cost price (C.P.) = $24.99
Selling price (S.P.) = $32
We know that,
[tex]\text{Markup percentage}=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]\text{Markup percentage}=\dfrac{32-24.99}{24.99}\times 100[/tex]
[tex]\text{Markup percentage}=\dfrac{7.01}{24.99}\times 100[/tex]
[tex]\text{Markup percentage}=\dfrac{701}{24.99}[/tex]
[tex]\text{Markup percentage}\approx 28.05[/tex]
Therefore, the markup percentage is 28.05%.
Give an example of a linear function whose graph intersects with the y-axis at the same points as the graphs of the following functions.
y= x+11
y= -9x-6
Answer:
Given functions:
y= x + 11y= -9x - 6They have different y-intercepts, therefore the line to intersect y-axis at the same points is y-axis itself.
The equation is:
x = 0The graph is attached
---------------------------------------
Note. If the question is about the lines above separately, then the answer is following
The first line has y-intercept of 11, any line with same y-intercept is the answer:
y = mx + 11, where m ≠ 1For the second line the equation is:
y = mx - 6, where m ≠ -9Answer:
y = mx + 11, where m ≠ 1
For the second line the equation is:
y = mx - 6, where m ≠ -9
can someone help me with this?
Let n = number of gum packs he buys.
After he starts with 30, spends 12, then spends 4n, he must have at least 0 remaining. So:
[tex]30-12-4n\geq 0[/tex]
Simplify by subtracting 30-12:
[tex]18-4n\geq 0[/tex]
Subtract 18 from both sides:
[tex]-4n\geq -18[/tex]
Divide both sides by -4 (flip the sign when you multiply or divide by a negative):
[tex]n\leq 4.5[/tex]
You can only buy a whole number of gum packs, so:
[tex]n\leq 4[/tex]
Preston can buy up to 4 gum packs, assuming his money isn't stollen my monke
Four silos with circular bases are shown in the image with a diameter of 20 feet. What is the area of one of the bases?
A. 1256 sq. ft.
B. 125.6 sq. ft.
C. 314 sq. ft.
D. 62,8 sq. ft.
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.
If the expression 2xy^{-2}{4xy^2} is written in the form ax^by^c, then what is the product of a b and c?
Answer: The product of a b and c is 0.
Step-by-step explanation:
The given expression : [tex]2xy^{-2}{4xy^2}[/tex]
[tex]=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}][/tex]
[tex]=8x^2y^0[/tex]
When we compare this to [tex]ax^by^c[/tex], we get a=8, x=2, y=0
The product of a, b and c = [tex]a\times b \times c[/tex]
[tex]=8\times2\times0\\\\=0[/tex]
The product of a b and c is 0.
if g(x)=f(1/3x), which statement is true?
A the graph of function f is Stretched vertically by a scale factor of 3 to create the graph of function g
B The graph of function F stretched horizontally by a scale factor of 3 to create the graph of function g
C The graph of the function F is compressed horizontally by a scale factor of 1/3 to create the graph of function G
D The graph of function F is compressed vertically by a scale Factor of 1/3 to create the graph function G
Answer:
Step-by-step explanation:
Hope this Helps ;)
|0-(-1/2)| evaluate
Answer:
21/2
Step-by-step explanation:
step 1: remove parentheses
10+1/2
step 2: calculate
21/2
(alternative forms: 10 1/2, 10.5)
1.
Last year, the ratio of literate and illiterate people of Rashkundu Village was
4:1. If the population of the village is 6550, let's find the numbers of literate
and illiterate people.
Step-by-step explanation:
Let the literate and illiterate people of Rashkundu Village be 4x and x respectively then 4x + x = 65505x = 6550x = 6550 / 5x = 1310Therefore no. of literate people = 4 * 1310 = 5240no. of illiterate people = 1310 Hope it will help :)Answer:
5,240 literate
1310 illiterate
Step-by-step explanation:
-ratio of literate : illiterate is 1:4
-add the numbers in the ratio (4+1=5)
-divide total population by 5 (6,550/5= 1,310)
-multiply the outcome by 4 to find the number of literate people (1,310*4=5,240 people)
-subtract the number of literate people from total population to find number of illiterate people (6,550-5,240= 1,310 people).
WILL MARK BRAINLIEST
Can someone please check my answer, if it’s wrong please correct me
Answer:
Yes
Step-by-step explanation:
It is symmetrical on the y-axis so must be.
Answer:
correct
Step-by-step explanation:
Which is the equation of a line perpendicular to y = 5x – 3?
–4.2 = –1.96(m − 10) + –4.2
Find variable
Answer:
m=10
Step-by-step explanation:
–4.2 = –1.96(m − 10) + –4.2
–4.2=-1.96m+19.6-4.2
-19.6=-1.96m
m=10
9
2. What value of x makes the equation
3
113
=
true?
Answer:
i don't understand what your asking, but i hope this helps
Step-by-step explanation:
the process of ascertaining the variable value that makes the equation true is called 'solving' the equation. An equation is a verbalization that two quantities are equipollent. For exp/example:. x + 1 = 4 betoken that when we integrate 1 to the unknown value, 'x', the answer is equipollent to 4
Express the fraction 1/15^7 using a negative exponent
Answer:
I think its 15^-7
Step-by-step explanation:
you can forget about the one and just look at the 15 and 7 which you get 15^-7
The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (1/15)⁷
As we know, from the definition of the integer exponent; integer exponents are exponents that should be integers. It may be a positive or negative number.
After using the properties of the integer exponent:
= (15⁻¹)⁷
= 15⁻⁷
Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ2
Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!
Answer: You'll have a quadrilateral with the following points
(5, -5)(4, -7)(6, -7)(8, -3)A diagram is posted below.
===================================================
Explanation:
The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that
A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)I started at the lower right corner and worked my way clockwise.
----------------
Let's shift the line y = x-2 up two units so that it moves to y = x
We'll need to shift every point of the quadrilateral up two units as well.
So we have these new point locations after the shifting has occurred.
A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)----------------
Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.
So we can say [tex](x,y) \to (y,x)[/tex]
A point like (-3, 5) moves to (5, -3)
We have these new locations
A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)----------------
The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.
Doing this leads to these locations
A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)Check out the diagram below.
surface area - multi step
Answer:
£208
Step-by-step explanation:
Given:
Height of solid box (h) = 20 cm
Width (w) = 80 cm
Length (l) = 10 cm
Cost of paint = £0.04 per cm²
Required:
Cost of painting the box
Solution:
✔️First, find the surface area of the box
Surface area = 2(l*w + l*h + w*h)
S.A = 2(10*80 + 10*20 + 80*20)
S.A = 2(800 + 200 + 1,600)
S.A = 2(2,600)
S.A = 5,200 cm²
✔️Find the cost of painting 5,200 cm² surface area of the box.
Cost of pianting 1 cm² = £0.04
Cost of painting 5,200 cm² = 5,200 × 0.04
Cost of painting the box = £208
Please help I’ve been stuck on this question for the longest
Answer:
7 in., 9 in., 5 in.
Step-by-step explanation:
6+2>9 = incorrect
9+7>16 = incorrect
2+7>9 = incorrect
7+5>9 = correct
7+9>5 = correct
9+5>7 = correct
Basically two side lengths added together should be more than the number left out.
I hope this helps!
Log(x+4)=8
Please help I don’t understand it I will give brainliest
what is the lcm of 3y and 6x?
Step-by-step explanation:
First expression = 3y
second expression = 3 * 2 x
LCM = 3 * 2x * y = 6xy
Which surveys would a sample be appropriate for? Mark all that apply.
A. Helen wants to know the favorite sport of adults in her town.
B. Caleb wants to know the type of music his current teachers like.
C. Jaclyn wants to know the average weight of her sisters' backpacks.
D. Kevin wants to know the most common way students get to school.
E. Roberto wants to know the average height of the people sitting at his table.
Answer:
a d
Step-by-step explanation:
Answer:
..............................
Step-by-step explanation:
Which value is a solution for the equation tan x/2 = -1?
A. 5pi/4
B. 7pi/4
C. 3pi/4
D. 3pi/2
Answer:
D
Step-by-step explanation:
What we have to do is to find the arc tan
x/2 = arc tan (-1)
tan is negative on the 4th and second quadrant
arc tan (-1) = 135 or 315
pi is 180 degrees
so we have;
135 is 3 pi/4
multiplied by the 2
= 6 pi/4 which is 3 pi/2
315 is 7 pi/4 which is same as 7 pi/2 when we multiply by 2
Answer:
the answer is d
Find the missing length. If needed, round to the nearest tenth.
B
7
E
3
G
The value of x is 2
Answer:
Step-by-step explanation:
AB = BG
10 = 7+x
x = 3
Pamela's age is two times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answer:
28
Step-by-step explanation:
28 times 2 = 56
28 times 1 = 28
56 + 28 = 84
Let f(x)=√x^2 - 64. Evaluate the function f(-x). What conclusion can be made?
a.) The function is an odd function.
b.) The function is both an even and an odd function.
c.) The function is an even function.
d.) The function is neither an even nor an odd function.
9514 1404 393
Answer:
c.) The function is an even function.
Step-by-step explanation:
Either way you interpret the given function, you have ...
f(-x) = √(-x)^2 -64 = √x^2 -64
f(-x) = f(x) . . . . the function is an even function (only)
6. Which graph matches the inequality ?
K > -7
Answer:
Option 4
Step-by-step explanation:
Since k is greater than or equal to -7, the number line should be going in the right direction, along with the starting point being shaded.
What is the simplified form of the following expression??
Answer:
[tex]2x^{2}[/tex]
Step-by-step explanation:
Hope that helps!!!
-scsb17hm
a building in the shape of a rectangle is 120 feet long and 90 feet wide. if a fence is to be constructed along te diagonal of the lot, find the length of the fence in feet
Answer: The length of the fence will be 150 feet
Step-by-step explanation:
The question is asking you to find the hypotenuse of a rectangle with a length of 120 feet and a width of 90 feet. To find the hypotenuse we will need to use the formula a^2 + b^2 = c^2
120 feet will be a
90 feet will be for b
this is because a and b are the two legs of the rectangle.
120^2 + 90^2 = c^2
14400 + 8100 = c^2
22500 = c^2
c =√22500
c= 150
1 Write an equation where a number is added to a variable, and a solution is -8.
Answer:
n+v= -8
Step-by-step explanation:
number=n; variable=v
n+v=-8
A bicycle Rocco wants to buy is $282. If the sales tax rate is 4% of the total price how much sales tax will Rocco pay?
Answer:
he will pay 11.28 dollars. I hope it helps!
Answer:
Your answer would be $11.28
Step-by-step explanation:
if you find 4% of 282 you would get 11.28 so therefore it is your answer.
Given the function f(x)=4^x+3
Answer:
f(x)=4^x+3
Step-by-step explanation:
ok annnnnd
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
The two triangles are related by
, so the triangles
.
9514 1404 393
Answer:
yes, the triangles are congruent -- by the SAS congruence postulate
Step-by-step explanation:
Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.
The two triangles are SAS congruent.
A rectangle Is (2x-3) cm long and (x+7) cm wide. What Is It's area?
Answer:
Step-by-step explanation:
Length (L)= 2x - 3 cm
Breadth (b) = x + 7 cm
Area of the rectangle
= L * b
= ( 2x - 3)(x+ 7)
= 2x(x + 7) - 3(x + 7)
= 2x² + 14x - 3x - 21
=( 2x² + 11x - 21) cm²
hope it helps
Answer:
[tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area of a rectangle = Length × Width
= (2x-3)(x+7)
Multiply 2x with x, 2x with +7, -3 with x and -3 with +7
= [tex]2x^{2}[/tex] + 14x - 3x - 21
= [tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]