Answer: The selling price of a pair of shoes is $26.46.
Step-by-step explanation:
Given : The wholesale price of a pair of shoes = $24.50
i.e. C.P. = $24.50
Mark up percent = 8% = 0.08 ( To convert a percentage into decimal we divide it by 100)
Formula : S.P. = (Mark up percentage ( in decimal)) x (C.P.)+ (C.P.)
i.e.
[tex]S.P.=(0.08) \times (24.50)+24.50\\\\\Rightarrow\ S.P.=(0.08+1)(24.50)\\\\\Rightarrow\ S.P.=(1.08)(24.50)\\\\\Rightarrow\ S.P.=26.46[/tex]
Hence, the selling price of a pair of shoes is $26.46.
solve the following question: |x|=3/4
Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes to do three revolutions on the Ferris wheel. Complete the function, h(t), which models Amare's height above the ground, in meters, as a function of time, t, in minutes. Assume he enters the ride at the low point when t = 0. h(t) = · sin( t + ) +
Answer:
the correct answer is
h(t)= 25 * sin (1 pi t + (-0.5) pi) + 29
Step-by-step explanation:
Find the volume of this
Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase or decrease per time period.
y=12(2)^t
Plz help!
What is the equation of the line that is perpendicular to the line and passes through the point (6, 2)?
Step [tex]1[/tex]
Find the slope of the line perpendicular to the given line
we have
the equation of the given line is
[tex]y=\frac{1}{2}x+7[/tex]
we know that
if two lines are perpendicular
then
the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
in this problem the slope m1 of the given line is
[tex]m1=\frac{1}{2}[/tex]
so
[tex]m2=-\frac{1}{m1}[/tex]
[tex]m2=-2[/tex]
Step [tex]2[/tex]
Find the equation of the line with slope m2 and passes through the point [tex](6, 2)[/tex]
we know that
the equation of the line is
[tex]y-y1=m*(x-x1)\\ y-2=-2*(x-6)\\y=-2x+12+2\\ y=-2x+14[/tex]
therefore
the answer is the option A
the equation of the line is [tex]y=-2x+14[/tex]
see the attached figure to better understand the problem
Describe how you would estimate the square root of a number that is not a perfect square without using a calculator. lets say n was the imperfect square number and the square root is w. the square root of n = n+w squared/ 2w.
The volume of a rectangular box is found by multiplying its length, width, and height: V = lwh. A certain box has a volume of b 3 + 3b 2 - 4b - 12. Factor the four-term polynomial to find the dimensions of the box. Hint: Use factoring by grouping to factor the four term polynomial first.
Answer:
The dimensions of the box are (b+3), (b-2) and (b+2).
Step-by-step explanation:
The volume of a rectangular box is
[tex]V=l\times w\times h[/tex]
The volume of a certain box is
[tex]V=b^3+3b^2-4b-12[/tex]
First of all find the factors of above expression by grouping method.
[tex]V=b^2(b+3)-4(b+3)[/tex]
[tex]V=(b+3)(b^2-4)[/tex]
[tex]V=(b+3)(b^2-2^2)[/tex]
[tex]V=(b+3)(b-2)(b+2)[/tex] [tex][\because a^2-b^2=(a+b)(a-b)][/tex]
Volume of a rectangle is the product of its dimensions, therefore the dimensions of the box are (b+3), (b-2) and (b+2).
The volume of the cylinder is 392 cm cubed work out the length
.help me please thank you.
The corners of a fence are at a (11,3), b (3,-11), c (-13,-9), and d (-5,9). let q be the midpoint of ????????⎯⎯⎯⎯⎯, r be the midpoint of ????????⎯⎯⎯⎯⎯, s be the midpoint of ????????⎯⎯⎯⎯⎯, and t be the midpoint of ????????⎯⎯⎯⎯⎯. what are the midpoints of the sides of this fence?
Please help !! Thank you :)
Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5).
Write the equation of this cubic polynomial function.
Recall that the zeroes are (2, 0), (3, 0), and (5, 0). What is the y-intercept of this graph?
-5
The linear factors of the cubic are
The cubic polynomial equation which passes through the coordinate (0,-5) and whose zeroes are (2 , 0), (3 , 0), and (5 , 0) is: [tex]y = \dfrac{1}{6}(x-2)(x-3)(x-5)[/tex] and it can be determine by arithmetic operations.
Given :
A cubic polynomial whose zeroes are (2 , 0), (3 , 0), and (5 , 0).Cubic polynomial equation passes through (0 , -5).Arithmetic operations can be used to determine the cubic polynomial equation. The generalised cubic polynomial equation is given by:
[tex]y = K(x-a)(x-b)(x-c)[/tex]
Where, K is constant and a, b, and c are the zeroes of the cubic polynomial equation. Therefore, the value of a, b, and c are 2, 3, and 5 respectively.
[tex]y = K(x-2)(x-3)(x-5)[/tex] ----- (1)
It is given that cubic polynomial equation passes through (0 , -5). So, put x = 0 and y = -5 in equation (1) to evaluate the value of K.
[tex]-5=K(0-2)(0-3)(0-5)[/tex]
[tex]5=30K[/tex]
[tex]K = \dfrac{1}{6}[/tex]
Therefore the cubic polynomial equation is given by:
[tex]y = \dfrac{1}{6}(x-2)(x-3)(x-5)[/tex]
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Between which 2 consecutive numbers is radical 46
In the diagram, △ABC ≅ △WRS. What is the perimeter of △WRS?
10 units
11 units
12 units
13 units
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
△ABC ≅ △WRS
So, Perimeter of △ABC is given by
AB+BC+CA
here, AB = 3 units
BC = 4 units
AC = x
By pythagorus theorem, we get that
[tex]AC^2=AB^2+BC^2\\\\x^2=3^2+4^2\\\\x^2=9+16\\\\x^2=25\\\\x=\sqrt{25}\\\\x=5\ units[/tex]
So, perimeter of △ABC is
3+4+5=12 units
So, the perimeter of △WRS is also 12 units as they are similar triangles .
Hence, Third option is correct.
Answer:
The Answer Is 12
Step-by-step explanation:
Jennifer wants to rent a car for 5 days, and she’s interested in a the loss damage waiver but not the collision damage wavier.If the daily rate is $39 and LDW is $65 for the rental period,what is her total cost?
APEX $260 is correct answer.
Write a quadratic function f whose zeros are 3 and 8
My jar has 25 dimes and some quarters, nickels, and pennies. The number of quarters plus dimes equals the number of pennies. I have 4 nickels for every dime and 2 pennies for every nickel. How many quarters are there? A. 175 B. 150 C. 125 D. 75
Answer:
Quarters = 175
Step-by-step explanation:
Let the number of dimes in the jar = 25
number of Nickels = n
number of quarters = q
number of pennies = p
Now we will form the equation
Number of quarters plus dimes equal the number of pennies.
q + 25 = p --------(1)
You have 4 nickles for every dime
n = 4d
n = 4 × 25 = 100
and you have 2 pennies for every nickels
p = 2n
p = 2 × 100 = 200
Now we replace p = 200 in equation (1)
q + 25 = 200
q = 200 - 25
q = 175
Option A. 175 will be the answer.
Anna started a race at 9:30am. She ran for 3 hours and 47 minutes. What time did she finish her race?
The solution is, the race ends at 12h50 (noon)
What is addition?It can be stated as, Addition is a way of combining things and counting them together as one large group.We know that, Addition in math is a process of combining two or more numbers.
here, we have,
Anna started a race at 9:30am. She ran for 3 hours and 47 minutes.
so we know the time she start and how many time the race was so let's add them together to get the end time
now,
9:03+3h47
=12h50
so the race ends at 12h50 (noon)
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Find the area of the following circle. (Round answer to the nearest hundredth.)
d = 15 in
area = _____ square inches
circumference = ______ inches
The area of circle is,
⇒ 176.62 in²
And, ⇒ Circumference = 47.1 in.
What is mean by Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The diameter of circle is,
d = 15 in.
Hence, Radius of circle is.
r = 15 / 2
r = 7.5 in,
Thus, Area of circle is,
⇒ πr²
⇒ 3.14 × 7.5²
⇒ 176.62 in²
And, Circumference = 2πr
⇒ Circumference = 2 × 3.14 × 7.5
⇒ Circumference = 47.1 in.
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An antique car was purchased for $7400 and is not worth $10,600. What is the approximate percent of change
The approximate percentage of change will be 43.24%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
An antique car was purchased for $7400 and is not worth $10,600.
Then the approximate percent of change will be given as,
P = [(10600 - 7400) / 7400] x 100
P = (3200 / 7400) x 100
P = 0.4324 x 100
P = 43.24%
The approximate percentage of change will be 43.24%.
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Then net folds into s cube. Which two letters appear on the opposite faces?
Please help me Idk what I’m doing thanks
i need to know the equations
**HELP!**
El Generico public high school got a new flag pole. But they completely forgot to buy a cord and NO ONE knows how tall the flagpole is! To find out, they decided to use similar figures! As the sun was setting, Bob the janoitor set up a 5-foot stick next to the flagpole and compared shadows. The 5 foot stick cast an 8-foot shadow. The shadow of the flagpole was 32-feet long.
Use rules of similar polygons to figure out how tall the flagpole is! HINT: this will involve proportions!
which definitions or properties would you use to simplify the expression
[tex]( {4}^{8} \times {4}^{ - 4} {)}^{ - 2} [/tex]
explain
Determine whether each pair of angles is a pair of vertical angles, a linear pair of angles, or neither. Select the correct answer for each lettered part.
Answer:
Linear Pair, Neither, Vertical.
Its also in the attached PNG just in case the question you have decides to put them out of order. You are all welcome! I hope this helps you people in the future
In a hockey club there are 5% more boys than there are girls. If there is a total of
246 members in the club, what is the number of boys and the number of girls?
HOW WOULD I WORK THIS OUT
The number of boys and the number of girls are 126 and 120 respectively.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, there are 5% more boys than there are girls, there is a total of
246 members in the club,
We need to find the number of boys and the number of girls,
Here we will use the concept of percentage as well as equation solving,
Let the number of girls be x, so, the number of boys = 105% of x = 1.05x
According to the question,
x+1.05x = 246
2.05 x = 246
x = 120
1.05x = 126
Hence, the number of boys and the number of girls are 126 and 120 respectively.
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A dad has two daughters – wendy and julia. wendy is twice as old as julia. the man is now five times as old as wendy, and in 4 years he will be six times as old as julia. find the present age of the father.
Answer: 50
Step-by-step explanation:
Nial is signing a lease for an apartment that rents for $1020/month. How much will he pay to move in if he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent?
2040
$2448
$2652
$2856
Answer:
Option (c) is correct.
He pays $ 2652.
Step-by-step explanation:
Given : Nial is signing a lease for an apartment that rents for $1020/month.
We have to find the amount he pay to move in if he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent.
Since, given he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent.
Given monthly rent is $ 1020
That is 60% of his monthly rent = [tex]\frac{60}{100}\times 1020=612[/tex]
Thus, total amount he needs to pay is first month rent + last month rent + 60% of his monthly rent.
That is 1020 + 1020 + 612 = 2652.
Thus, He pays $ 2652.
Sabastian is driving 400 miles to meet his friend. He travels 100 miles in the first two hours of his trip. If he continues at the same rate, how long will it take to drive the remaining distance?