So, firstly let us take a look at the formula below;
Markup%= selling price- cost/cost*100
We are going to proceed from the formula above.
●Selling price= $ 449.99
●Cost price= $ 275.59
Step 1
$ 449.99- $ 275.59= % 224.40
Step 2
$ 224.40/ $ 275.59*100= 81.4253057078
82% if was to be rounded.
ANS= 82%
Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a mathematics course, and 135 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in each of the following?
a) an economics and/or a mathematics course.
b) exactly one of these two courses.
c) neither an economics course nor a mathematics course.
Solution :
Let A = Economics, B = Mathematics
n(A) = 311, n(B) = 243, [tex]$n(A \cap B) = 135$[/tex]
a). So, [tex]$n(A \cup B) = n(A) +n(B) - n(A \cap B)$[/tex]
= 311 + 243 - 135
= 419
b). n(A only) = 311 - 135
= 176
n(B only) = 243 - 135
= 108
Exactly one of these two courses
[tex]$=\frac{176+108}{500}$[/tex]
= 0.568
c). Neither economics nor mathematics
[tex]$=\frac{500-419}{500} $[/tex]
[tex]$=\frac{81}{500}$[/tex]
= 0.162
If (8, 12) and (3, 4.5) belong to a proportional relationship, what is the constant of
proportionality?
Answer:
1.5
Step-by-step explanation:
k= y/x
y= 12-4.5 = 7.5
x= 8-3 = 5
k = 7.5/5 = 1.5
Count the units from (2,4) to (-2,-6).How many blocks are between Jenna’s apartment and Zac’s house
Answer:
Distance = 10.77 unit (Approx.
Step-by-step explanation:
Given:
Coordinate of Jenna's house = (2,4)
Coordinate of Zac's house = (-2,-6)
Find:
Distance
Computation:
Distance = √(X1 - X2)² + (Y1 - Y2)²
Distance = √(2 + 2)² + (4 + 6)²
Distance = √(2 + 2)² + (10)²
Distance = √16 + 100
Distance = √116
Distance = 10.77 unit (Approx.
You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 15858 quarts of paint, and each chair requires 2323 quarts of paint. How many total quarts of paint should you bring to paint this furniture?
Step-by-step explanation:
Let t be the number of tables
Let c be the number of chairs
Total paint needed = 15858t + 2323c
Given t = 2 and c = 8, substitute t and c into expression to find total paint needed
Total Paint needed = 15858(2) + 2323(8)
= 31716 + 18584
= 50300 quarts of paint
la división 3028÷25,el cociente es 605 y el residuo es 4 .¿Es cierto?
Respuesta:
Falso
Explicación paso a paso:
Dividiendo 3028 por 25
Usando el método de división larga, pudimos ver en la imagen adjunta, que dividir 3028 entre 25 da un cociente de 121 y un resto de 3.
How does using the properties of addition makes a problem easier to solve
9514 1404 393
Answer:
properties of addition let you add, subtract, or rearrange the terms of a sum as may be needed
Step-by-step explanation:
Properties of addition let you rearrange a sum to make addition easier to do or to check mentally. They also let you "undo" addition or subtraction in the process of solving algebra problems. And, they let you add terms or constants that may make it easier to rearrange expressions, as in "completing the square."
using the equation G = 10-1.25t. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
the x axis is 10, its interpretation is actually G, so on a graph instead of X and Y you would have G and T
I NEED HELP ON THIS QUESTION PLEASE HELP
Answer:
264
Step-by-step explanation:
Which triangle has three angles less than 90° and exactly two congruent sides?
You are a plumber who needs to replace a broken pipe that is 12.5 feet long. You have 2 pipes, A and B, that are
3.75 meters and 4.25 meters long, respectively. A pipe longer than the broken pipe can be cut to fit.
Which pipe can be used to complete the task, and why?
Answer:
the 4.25 m pipe because it is longer than 12.5 feet. The 3.75 m pipe is too short
Step-by-step explanation:
51 is greater than or equal to x
Question Options:
51 < x
51 > x
51 ≥ x
51 ≤ x
Please explain as well, thanks!
Answer:
51 ≥ x
Step-by-step explanation
The greater than or equal to sign is a symbol that indicates that the value on the left hand side of the symbol is either greater than, or equal to the value on the right. This can also be read as the value on the left hand side is at least equal to the value on the right. X can equal 51 or it can be less. X cannot be greater than 51 in this inequality
Sue-Lee scored 93 points on a science test on Monday and 77 points on a science test on Friday. What was the difference between her two scores?
Answer:
16
Step-by-step explanation:
93 - 77 = 16
Answer:
16
Step-by-step explanation:
Difference is a key word for subtraction in problems like this/ So take Sue-Lee's two test scores and subtract them, 93-77 is equal to 16. The difference between the two scores is 16
Find the length of the arc
in terms of pi.
Half the circle is 20 radius the other half is 180 degrees. Find AB?pi
Answer:
10π
Step-by-step explanation:
Length for arc = θ/360 × πd
Where,
θ = 180°
d = 20
Length of the given arc = 180/360 × π × 20.
= 10π
in the dark forest a rare species of spiders called Acromantula is doubling every 4 years. there are currently 50 spiders, how many spiders will be in the forest after 20 years?
Answer:
1600. Because 20/4is 5 so there is 5time doubling so
first time 50 to 100
second time 100 to 200
third 200to400
fourth 400to 800
fifth 800to 1600.
In 20 years the number of Acromantula will be 1600 if the number of Acromantula is doubling in every 4 years.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given, the number of Acromantula doubles in every 4 years.
Also given that, There are 50 Acromantula in the forest.
In 4 years, the number of Acromantula wil be double of 50 i.e., 100
In 8 years, the number of Acromantula will be double of 100 i.e., 200
In 12 years, the number of Acromantula will be double of 200 i.e., 400
In 16 years, the number of Acromantula will be double of 400 i.e., 800
In 20 years, the number of Acromantula will be double of 800 i.e., 1600
Hence, In 20 years the number of Acromantula will be 1600
To learn more about unitary method click here:
https://brainly.com/question/23217284
#SPJ2
Which of the given numbers is not a Pythagorean triplets. *
1 point
8,15,17
9,40,41
4,7,8
Step-by-step explanation:
By Pythagoras' Theorem,
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is always the largest number.
a and b can be interchangeable between the 2nd largest and the 3rd largest numbers.
Given a = 8, b = 15 and c = 17,
[tex] {a}^{2} + b {}^{2} = {8}^{2} + {15}^{2} \\ = 64 + 225 \\ = 289 \\ \\ {c}^{2} = {17}^{2} \\ = 289[/tex]
Since c^2 = a^2 + b^2 , 8 , 15 and 17 are pythagorean triplets.
Now let's move on to 9, 40 and 41.
[tex] {a}^{2} + {b}^{2} = {9}^{2} + {40}^{2} \\ = 81 + 1600 \\ = 1681 \\ \\ {c}^{2} = {41}^{2} \\ = 1681[/tex]
Since c^2 = a^2 + b^2 , 9 , 40 and 41 are pythagorean triplets.
Last let's move on to 4,7 and 8.
[tex] {a}^{2} + {b}^{2} = {4}^{2} + {7}^{2} \\ = 16 + 49 \\ = 65 \\ \\ {c}^{2} = {8}^{2} \\ = 64 [/tex]
Since a^2+b^2 IS NOT EQUAL to c^2, 4,7 and 8 ARE NOT pythagorean triplets.
What is -3v = 15 like I need this answer!!
Answer:
v = -5
Step-by-step explanation:
Answer:
v=-5
Step-by-step explanation:
-3 times -5= 15
if you help me you are a sweet sweet sweet angel
Answer:
the last option
option four or D
Step-by-step explanation:
have a great day :)
|6m-54|, if m<9 PLZ HELP
Below is the graph of f(x) = 3 log10^ x. How would you describe the graph of
g(x) = 9 log10^x?
A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
O
D. g(x) stretches f(x) vertically by a factor of 3
Answer:c
Step-by-step explanation:
Answer:D g(x) stretches f(x) vertically by a factor of 3.
Step-by-step explanation: ape3
whaich calculation and answer show how to convert 3/12 to a decimal
Answer:
0.25
Step-by-step explanation:
3/12 = 1/4
1÷4= 0.25
User: Jaylian.)
Learning farm
Daily PSSA prep 4/30 Friday
Question 8 of 15
52:38
>
Question: Last year, 7,000 people registered to go to a comic book convention. This year, the
number of people who registered increased by 5%. How many people registered for
this year's convention?
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3
4.
5
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9
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11
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Save/End
Next
Copy: 2020
Answer:
7350
Step-by-step explanation:
I hope this helps.
Simplify 4/(√5+ √2) - 3/(√5- √2)
Step-by-step explanation:
[tex] \frac{4}{ \sqrt{5} + \sqrt{2}} - \frac{3}{ \sqrt{5} - \sqrt{2} } = \\ = \frac{4( \sqrt{5} - \sqrt{2} ) - 3( \sqrt{5} + \sqrt{2} ) }{( \sqrt{5} + \sqrt{2} )\times ( \sqrt{5} - \sqrt{2} )} = \\ = \frac{4 \sqrt{5} - 4 \sqrt{2} - 3 \sqrt{5} - 3 \sqrt{2} }{5 - \sqrt{10} + \sqrt{10} - 2 } = \\ = \frac{ \sqrt{5} - 7 \sqrt{2} }{3} [/tex]
A blueprint of a room is drawn to a scale of 2 inches = 7 feet. The actual length of one wall is 56 feet.
What is the length of this wall on the blueprint?
Answer:
16 inches I think?
Step-by-step explanation:
56*7=8
8*2=16
I apologise if I'm wrong
A train travels 73 1/3 miles in 3/2 hour. What is its speed in miles per hour?
Speed per hour = distance / time
Speed = 73 1/3 / 3/2
Speed = 220/3 / 3/2
Speed = 220/3 x 2/3
Speed = 440 /9
Speed = 48 8/9 miles per hour.
The cone volume of 180 1/4 and a radius of square of 9. What is the height?
Answer:
h≈2.12
Radius =9
volume = 180
Step-by-step explanation:
[tex]v=\pi r^{2} \frac{h}{3}[/tex]
h=3V / πr2=3· 180 / π·9^2 ≈ 2.12207
10 to the second power minus 2 x (8) + 11
Simplify the expression:
[tex] ({2x + 5y})^{2} - ({3x + 4y})^{2} [/tex]
Step-by-step explanation:
the answer is in the picture
Answer:
3x+18y
Step-by-step explanation:
2x+5y+2x+5y-3x+4y+3x+4y
2x+2x-3x+3x+5y+5y+4y+4y
4x-x+10y+8y
3x+18y
What is the missing step in this proof? look at picture
Answer:
The missing step in that proof is E
1. Solve the following system of equations. (Hint: Use the quadratic formula.)
f(x) = 2x^2-3x-10
g(x) = -3x^2+20
Answer:
[tex]f(x)=\frac{3+\sqrt{89} }{4} or \frac{3-\sqrt{89} }{4}\\g(x) = \frac{2\sqrt{15} }{3} or -\frac{2\sqrt{15} }{3}[/tex]
Step-by-step explanation:
f(x):
a=2 b=-3 c=-10
g(x):
a=-3 b=0 c=20
Ms. Clark earned $32,550in her third year as a banker and $34,150in her seventh year. How much did she make in her tenth year? Assume that her yearly salaries form an arithmetic sequence.a.$31,750b.$35,350c.$29,000d.$26,440
Answer:35350
Step-by-step explanation:
its easy 32,550 - 34,150 it gives 1600 then divide by for because it id 4 years from 3 to 7 you get 400 thats your yearly raise then multiply by 3 because 7 to 10 is 3 years you get 1200 add ton 34150 and you get 35350