Let the numbers be x and 4x. So, according to the question,
x + 4x = 100
=> 5x = 100
=> x = 100/5
=> x = 20
So, the number are,
x = 20
and
4x = 4×20 = 80
So, the two numbers are 20 and 80.
What percentage of the data values are greater than 45?
Answer:
50%
Step-by-step explanation:
45 is the median of this box plot and, theoretically, 50% of the data resides between the minimum and the median and 50% resides between the median and the maximum
In a charity marathon to raise money for Typhoon Ulysses, Alex finished 43rd out of 200 entrants. Find his percentile rank.
The percentile rank in a charity marathon to raise money for Typhoon Ulysses is 21.5 percentile.
What is the Percentile?A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.
Rank of Alex is 43rd
Total Entrants is 200
Percentile = Rank of Alex X 100 / Total Entrants
= 43 X 100 / 200
= 21.5 percentile
Thus, the percentile rank in a charity marathon to raise money 21.5 percentile.
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An item costs $380 before tax and the sales tax is $15.20 find the sales tax rate write your answer as a percentage
A sequence is shown below
6, 8, 10, 12, 14
Which function represents this sequence?
A. f(n) = 4 + 2(n - 1)
B. f(n) = 4 + 2(n + 1)
C. f(n) = 6 + 2(n - 1)
D. f(n) = 6 + 2(n + 1)
Answer:
[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]
Solve 8 = 2x +4.(1 point)
01) x = -4
O2) x = -1
3) x = 0
4) x = 7
Answer:
x=2, should be the correct answer but that isnt a choice
Step-by-step explanation:
8=2x+4
4=2x
2=x
x=2
Anyone know how to awnser this
State whether the equation represents exponential growth, exponential decay, or neither.
y = 11.1.07%
Answer:
Neither
Step-by-step explanation:
This questions only states
[tex]y = 11.1.07\%[/tex]
This is not a fucntion because there is no variable.
This is not a valid statement, because 11.1.07% is non-sensical.
Which statements about quadrilateral WXYZ are
true? Select three options,
The slope of ZW is 2/5
The slope of YX is -5/2
The length of ZY is sqrt29.
The length of WX is 5.
Quadrilateral WXYZ is a square.
Answer:
the slope of zw is 2/5
the length of zy is sqrt29
Quadrilateral WXYZ is square
The slope of ZW is 2/5, length of ZY is square root of 29, and the quadrilateral WXYZ is a square.
What is a quadrilateral?It is a 4 side figure, four angle and four vertices.
How to find the slope?Points of quadrilateral is Z(-3,1), W(2,3), X(4,-2) AND Y(-1,-4)
Slope of ZW is (3-1)/(2+3)=2/5
Slope of YX=(-2+4)/(-1-4)=-2/5
Length of ZY=root of [tex](-4-1)^{2} +(-1+3)^{2}[/tex]=root of 29
Length of WX =root of [tex](-2-3)^{2} +(4-2)^{2}[/tex]= root of 29
Quadrilateral it is a square.
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The value of
Arc sin(1/2) + Arc tan(1) is
Answer:
75°Step-by-step explanation:
We know that:
sin 30° = 1/2, therefore arcsin (1/2) = 30°tan 45° = 1, therefore arctan (1) = 45°So the value of the expression is:
arcsin (1/2) + arctan (1) = 30° + 45° = 75°Answer:
75°
Step-by-step explanation:
Recall the common trigonometric angles:
[tex]\sin 30^{\circ}=\dfrac{1}{2}[/tex]
[tex]\tan 45^{\circ}=1[/tex]
Arcsin is the inverse of sin.
Arctan is the inverse of tan.
[tex]\implies \arcsin \left(\dfrac{1}{2}\right)=30^{\circ}[/tex]
[tex]\implies \arctan (1) = 45^{\circ}[/tex]
Therefore:
[tex]\implies \arcsin \left(\dfrac{1}{2}\right)+\arctan (1) = 30^{\circ}+ 45^{\circ}=75^{\circ}[/tex]
Find the value of x
Answer:
x = 30
Step-by-step explanation:
24(24 + x) = 36² => tangent-secant theorem
Open the bracket
24*24 + 24*x = 36²
576 + 24x = 1,296
24x = 1,296 - 576
24x = 720
Divide both sides by 24
24x/24 = 720/24
x = 30
How man minutes will it take to make and pack an order for 36 parts show your work
Complete question :
The time taken to make and pack an order represented by the equation ; 2x + 10. How man minutes will it take to make and pack an order for 36 parts:
Answer:
82 minutes
Step-by-step explanation:
Time taken to make and pack an order : 2x + 10
To pack 36 orders ; put x = 36 in the equation :
= 2(36) + 10
= 72 + 10
= 82
82 minutes is required to make and pack an order for 36 parts.
Answer:
2x + 10
= 2(36) + 10
= 72 + 10
= 82
It will take 82 minutes to make and pack an order for 36 parts.
Step-by-step explanation:
Got it right :)
Please mark brainliest
Express the following measure in radians.
675°
Answer:
[tex]\frac{15\pi }{4}[/tex]
Step-by-step explanation:
Degrees to radians, multiply by pi/180
675pi/180
use a calculator to simplify
You get 15pi/4
The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].
What is the formula to convert degree to radian?
The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].
What is the conversion of 675degree?We will substitute 675 for angle in degree into the formula to get the value in radian.
[tex]\frac{675*pi}{180}[/tex]
This will be [tex]\frac{15pi}{4}[/tex].
Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].
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the price of a sandwich decreases from $8 to $6 what is the percentage decrease in the price of the sandwich
Answer:
The percentage decrease is 25%.
Step-by-step explanation:
The difference in price is $2:
$8 - $6 = $2
Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:
2/8 * 100.
This equals 200/800 which is 25%.
find the eighth term of the sequence 1/3, -1, 3, -9, ..
Answer:
-729
Step-by-step explanation:
sequence is to multiply by -3 to get next term
What is the formula to find the perimeter of a pentagon
Answer:
For a regular polygon, the perimeter is equal to the product of one side length and the number of sides of the polygon. For example, the perimeter of a regular pentagon whose side length 8 cm, is given by; Perimeter of a regular pentagon = 8 x 5 = 40 cm.
Step-by-step explanation:
I hope I've helped :).
Answer:
perimeter = number of sides x the length of any side.
Step-by-step explanation:
brainliest pls
What is the period of the function F(x) = -4sec (1/2 x)
A. 4 pi
B. pi
C. pi/2
D. 2 pi
Answer:
A) 4π
Step-by-step explanation:
The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.
Select each expression that is equivalent to 4n+12
A. 16n
B. 2n+6+2n+6
C. 2(2n+4)+2
D. 4(n+3)
E. 3(n+4)+n
F. n+n+n+n+12
Answer:
B D E F
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
========================================================
Work Shown:
Apply the pythagorean theorem
a^2 + b^2 = c^2
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 225-144
b^2 = 81
b = sqrt(81)
b = 9
Answer:
9
I am not able to upload my answer unless its 20 characters long
Plz help me well mark brainliest if correct!!....
Answer:
The first one is correct.
Mr kirk has 6 boxes of 20 oranges how many does she have in total
Answer:
120
Step-by-step explanation:
6 x 20 = 120
Determine the radius of convergence of the following power series.
Σ(-1)^k x^k/3^k
Answer:
(−1)kxk
Step-by-step explanation:
Therefore, the infinite series ∞∑k=11k does not converge.
(−1)kxk = 1 − x + x2 − x3 + ···. = ∞. ∑ k=0. (−x)k = 1. 1 − (−x). = 1. 1 + x ... 3. )k. = x. 1 − (x2/3). = 3x. 3 − x2 for |x2/3| < 1. 1.2 Radius of Convergence.
Which table represents the function y = 2x + 4?
Answer:
I believe the answer is C, however I'm not completely sure. Let me know if I can fix it! I'm not 100% sure, I'm sorry if it's wrong!
Step-by-step explanation:
I hope this helps, please remember to give five stars, press the heart, and mark brainliest. If you need any more help, please let me know!
*optional* amos: tealyn337
Find the area and perimeter of the triangle
Answer: 25.2
Step-by-step explanation: hope the is helps :D
Practice Test
Flashcards
Stu
Question 4 Mathematics Practice Test for the TEAS
Solve the equation and choose the best answer:
9
6
6
4
7
C
6
Answer:
Where is the equation??
Restrictions must be indicated for rational functions involving a denominator because__________
is not defined
Answer:
rational expressions
hope I helped! :)
Odin is recording the depreciation of his car. The table displays the number of years and the car's depreciated value for each year.
What will be the value of his car in year 10?
PLEASE GIVE ME THE ANSWER!!
Answer:
$1,158.08
Step-by-step explanation:
The value of the car in year 10 is $1158.08
How to determine the car value in year 10?From the table, we have the following points
(x, y) = (1,5000) and (2,4250)
Start by calculating the rate of depreciation using:
r = y2/y1
So, we have:
r = 4250/5000
Evaluate
r = 0.85
The value of the car in nth year is calculated using:
y = y1 * r^(n - 1)
For the 10th year, we have:
y = 5000 * 0.85^(10 - 1)
Evaluate the product
y = 1158.08
Hence, the value of the car in year 10 is $1158.08
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Find each angle measure to the nearest degree
1) Find m.
5
S
R
5.7
T
please help, show work if possible :)
Answer:
RS=26.49 m;
ST =14.08 m;
m<R =28°
Step-by-step explanation:
Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm of air, to the nearest tenth of a centimeter?
Answer:
9.8 cm
Step-by-step explanation:
Volume of a sphere, V = 4/3 πr³
V = 500cm³
π = 3.14
500 = 4/3 * 3.14 * r³
500 * 3 = 4 * 3.14 * r³
1500 = 12.56r³
r³ = 1500 / 12.56
r³ = 119.42675
r = (119.42675)^1/3
r = 4.9245574
Diameter = 2r
Diameter = 2 * 4.9245574
Diameter = 9.849
= 9.8cm
factorise y^6 - 64 as possible
Answer:
Step-by-step explanation:
Observe that [tex]y^6-64=y^6-2^6.[/tex]
And you factor out using this expression:
[tex](a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)[/tex]
Take a=y and b=2.
Answer:
(y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
Step-by-step explanation:
[tex]y^{6}[/tex] - 64 ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
[tex]y^{6}[/tex] - 64
= (y² )³ - 4³
= (y² - 4)([tex]y^{4}[/tex] + 4y + 16) ← note y² - 4 is a difference of squares
= (y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
In a storeroom,there are 30 blue balls,48 green balls,some red balls and some white balls. there are 3 times as many green balls as red balls and 5 times as many blue balls as white balls.
(a) How many balls are there altogether?
(b) How many balls are left in the room if 7/10 (fraction) of the balls are taken away?
pls help me answer both
Answer:
7/30
Step-by-step explanation:
We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10
Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9. Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30