Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The counts are shown in the table below. Which proportion would predict the number of jazz songs he has stored on his MP3 player? Listening Samples from Mr. McElroy’s MP3 Player Sample 1 Sample 2 Country 5 Country 3 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 5 StartFraction 6 over 20 EndFraction = StartFraction x over 2000 EndFraction StartFraction 3 over 20 EndFraction = StartFraction x over 2000 EndFraction StartFraction 2 over 4 Endfraction = StartFraction x over 2000 EndFraction StartFraction 3 over 40 EndFraction = StartFraction x over 2000 EndFraction
Solve each equation with the quadratic formula. (Show work please)
Answer:
Let b=x
Such that b^2 =8b-8 will x^2=8x-8
Using the almighty quadratic formula
x1={-b+sqrt (b^2-4ac)}/2a
x2={-b-sqrt (b^2-4ac)}/2a
From the question
a=1
b=8
c=-8
x1={-8+sqrt (8^2-4(-8))}/2
x1=(-8+5.66)/2
x1=-1.17
x2={-8-sqrt (8^2-4(-8))}/2
x2=(-8-5.66)/2
x2=-6.83
:.(x1,x2)=(-1.17,-6.83)
Step-by-step explanation:
Kareem cannot decide which of two washing machines to buy. The selling price of each is $440. The first is marked down by 30%. The second is marked down by 20% with an additional 10% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.
Step-by-step explanation:
The selling price is $495.
The first washing machine:
- is marked down by 30%
$495 - 100%
$x - 100% - 30% = 70%
Find the value of x:
x=$495*0.7=$346.50=$347
The second washing machine:
- is marked down by 20% with an additional 10% off
$495 - 100%
$y - 100% - 20% = 80%
Find y:
Y=$495*0.8=$396
Now,
$396 - 100%
$z - 100% - 10% = 90%
Find z:
Z=$396*0.9=$356.40=$356
the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.
Answer:
The sale price of the first washing machine is $308
The sale price of the second washing machine is $317
[tex] \underline{ \underline{ \text{Question}}} : [/tex]
In the adjoining figure , ABC is an isosceles triangle. BO and CO are the bisectors of [tex] \angle[/tex] ABC and [tex] \angle[/tex] ACB respectively. Prove that BOC is an isosceles triangle.
~Thanks in advance !
Here it's given that ∆ABC is a isosceles triangle. We know that in a isosceles triangle opposite angles are equal. And the angles opposite to equal sides are also equal.
Hence here ,
AB = AC ∠ ABC = ∠ACB .Figure :-
[tex] \setlength{\unitlength}{1 cm}\begin{picture}(12,12)\put(0,0){\line(1,0){4}}\put(4,0){\line(-1,2){2}}\put(0,0.001){\line(1,2){2}}\put(0,0.01){\line(1,1){2}}\put(3.99,0){\line(-1,1){2}}\put(0,-0.3){$\bf B $}\put(4,-0.3){$\bf C$}\put(2,4.2){$\bf A$}
\put(1.8,2.2){$\bf o$}\end{picture}[/tex]
If LaTeX doesn't work on app kindly see the attachment .
Here we will use a theorem which is ,
[tex]\large\underline{\underline{\textsf{\textbf{\red{\blue{$\leadsto$} Theorem :- }}}}}[/tex]
Sides opposite to equal angles are equal.Hence here,
[tex]\tt:\implies \angle ABC =\angle ACB \\\\\tt:\implies \dfrac{1}{2}\times \angle ABC = \dfrac{1}{2}\times \angle ACB \\\\\tt:\implies \boxed{\bf \blue{\angle OBC = \angle OCB} }[/tex]
Now in ∆OBC , we can see that ∠OBC = ∠OCB. (just proved ) . Hence we can say that sides OB and OC are equal. Since the sides opposite to equal angles are equal. Therefore in ∆OBC , two sides are equal.
Therefore ∆ OBC is an isosceles triangle.
Hence Proved !Answer:
See Below.
Step-by-step explanation:
We are given the isosceles triangle ΔABC. By the definition of isosceles triangles, this means that ∠ABC = ∠ACB.
Segments BO and CO bisects ∠ABC and ∠ACB.
And we want to prove that ΔBOC is an isosceles triangle.
Since BO and CO are the angle bisectors of ∠ABC and ∠ACB, respectively, it means that ∠ABO = ∠CBO and ∠ACO = ∠BCO.
And since ∠ABC = ∠ACB, this implies that:
∠ABO = ∠CBO =∠ACO = ∠BCO.
This is shown in the figure as each angle having only one tick mark, meaning that they are congruent.
So, we know that:
[tex]\angle ABC=\angle ACB[/tex]
∠ABC is the sum of the angles ∠ABO and ∠CBO. Likewise, ∠ACB is the sum of the angles ∠ACO and ∠BCO. Hence:
[tex]\angle ABO+\angle CBO =\angle ACO+\angle BCO[/tex]
Since ∠ABO =∠ACO, by substitution:
[tex]\angle ABO+\angle CBO =\angle ABO+\angle BCO[/tex]
Subtracting ∠ABO from both sides produces:
[tex]\angle CBO=\angle BCO[/tex]
So, we've proven that the two angles are congruent, thereby proving that ΔBOC is indeed an isosceles triangle.
SOMEONE DO NUMBER 10, 11 AND 12 FOR ME IM RUSHING AND ILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
10. He left at 6:45 and arrived at 7: 35. The time between 6:45 and 7:00 is 15 minutes and the time between 7:00 and 7:35 is 35 minutes. 15 + 35 is 50.
The answer is that it took Noah 15 minutes.
11. Right now the time on the clock is 8:00. In 3 hours it will be 11:00. In 35 minutes it will be 11:35.
The answer for number 11 is 11:35.
12. The time on the clock is 5:45
Holis
sawarasenaikimiwa⛓shoujonano?✨bökùWâÿariçhiñbįcchīńoosûdàyo ah
Answer:
Oop
Step-by-step explanation:
sawarasenaikimiwa⛓shojonano ✨bökùwâÿariçhiñbįcchīńoosûdàyo
i haded to do it lol
Which graph best represents the equation y = -2/3x + 4
Answer:
the first one
Step-by-step explanation:
Answer:
The first graph
Step-by-step explanation:
1.) The line has to go down since it's a negative slope so looking at these 3 graphs it cant be the second one, since it has a positive slope
2.) The y-intercept has to be 4, but for the 3rd image it is 3 which is incorrect
3.) The first graph has a slope of -2/3, and a y-intercept of 4 which makes it....
y = -2/3x + 4...and this one is correct
Hope this helped!
have a supercalifragilisticexpialidocious day!
how do you solve this
Answer:
a = -4
b = 3
c = -10
d = -6
Step-by-step explanation:
Plug each value into the equation and solve.
[tex]a = 3(0)-4\\a=-4[/tex]
[tex]5=3b-4\\9=3b\\b=3[/tex]
[tex]c=3(-2)-4\\c=-6-4\\c=-10[/tex]
[tex]-22=3d-4\\-18=3d\\d=-6[/tex]
pls help me with this problem!!!!
Answer: 55°
Step-by-step explanation:
∠YAZ + ∠YAX = 180° because they are linear pairs
∠YAZ + ∠YAX = 180°
∠YAZ + 125 = 180
Subtract both sides by 125
∠YAZ = 55°
Hope that helped!
CAN SOMEONE PLEWSE HELP ME WITH THE TOP 3
Answer:
kklkjdflkjsdlkfskldjfdlkjf
Step-by-step explanation:
kljoj;klkjlslkdfjlksdjkldjflzkj
On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive
Answer:
U didn't say how many miles Rita drove.
PLEASE HELP FAST !!!
What is the equation of the line in slope-intercept form?
Answer:
y = 4/3x + 4
Step-by-step explanation:
Find the degree measure of angle Y.
Answer:
120
Step-by-step explanation:
6x – 2 = 2х +8
ANSWER QUICKLY PLEASE
Answer: 2.5
Step-by-step explanation: subtract 2x from both sides and get 4x-2=8 so then add 2 on both sides to get 4x=10 and last step is to divide both sides by 4 which wild get you x=2.5
Its pretty easy if you are good at math! Please help!
Step-by-step explanation:
Explanation:
The trick is to know about the basic idea of sequences and series and also knowing how i cycles.
The powers of i will result in either: i, −1, −i, or 1.
We can regroup i+i2+i3+⋯+i258+i259 into these categories.
We know that i=i5=i9 and so on. The same goes for the other powers of i.
So:
i+i2+i3+⋯+i258+i259
=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)
We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.
=65(i)+65(i2)+65(i3)+64(i4)
From here on out, it's pretty simple. You just evaluate the expression:
=65(i)+65(−1)+65(−i)+64(1)
=65i−65−65i+64
=−65+64
=−1
So,
i+i2+i3+⋯+i258+i259=-1
Find the length of segment WZ
T
y
2x
Z
W
3x - 5
What is the range of the function graphed below?
Answer:
The range of the graph is:
-∞ < y < 2
Hence, option C is correct.
Step-by-step explanation:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.
From the given graph, we can easily observe the vertical extent of the graph is all range values between -∞ and 2.
In other words,
The range of the function lies in the interval: ( -∞, 2)
Therefore, the range of the graph is:
-∞ < y < 2
Hence, option C is correct.
An aircraft flies at a speed of 480 miles per hour. It takes the aircraft t hours to reach its destination.
Which of the following equations can be used to find the number of hours it takes the aircraft to reach a destination that is 1200
miles away?
A 1200t=480
B480+1200=t
C480t=1200
D 480+t=1200
Answer:
A
Step-by-step explanation:
The equation 480t = 1200 can be used to find the number of hours an aircraft takes to reach a destination that is 1200 miles away.
The correct answer is option (C) 480t = 1200.
What is equation?"An equation is a mathematical statement that is made up of two expressions connected by an equal sign."
Formula to calculate speed:speed = distance / time
For given question,
An aircraft flies at a speed of 480 miles per hour and takes t hours to reach its destination.
Let d represents the distance(in miles) traveled by an aircraft in t hours with a speed of 480 miles per hour.
By using the formula of speed,
⇒ 480 = d/t
When destination is 1200 miles away.
This means d = 1200 miles.
⇒ 480 = 1200/t
⇒ 480t = 1200 .....................(Multiplying both the sides by t)
This equation can be used to find the number of hours it takes the aircraft to reach a destination that is 1200 miles away.
Therefore, option (C) is the correct answer.
Learn more about equation here:
https://brainly.com/question/13170101
#SPJ2
A light-year is the distance light travels in one year, about 5.9×1012 mi. Earth is located about 25,000 light-years from the Milky Way's rim. What is the approximate distance, in miles, from Earth to the rim of the Milky Way?
Answer:
1.475 × 10¹⁴ mi
Step-by-step explanation:
Since 1 light year = 5.9 × 10⁹ mi and the Earth is located about 25,000 light-years from the Milky Way's rim, the approximate distance, in miles, from Earth to the rim of the Milky Way is 25,000 light year = 25,000 × 1 light year
= 25,000 × 5.9 × 10⁹ mi
= 147.5 × 10¹² mi
= 1.475 × 10¹⁴ mi
On a certain hot summer's day, 263 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50. How many children and how many adults swam at the public pool that day?
Answer:
The number of children = x = 176
The number of Adults = y = 87
Step-by-step explanation:
Let us represent
The number of children = x
The number of Adults = y
On a certain hot summer's day, 263 people used the public swimming pool.
x + y = 263.... Equation 1
x = 263 - y
The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50.
$1.25 × x + $2.50 × y = $437.50
1.25x + 2.50y = 437.50.....Equation 2
We substitute 263 - y for x in Equation 2
1.25(263 - y) + 2.50y = 437.50
328.75 - 1.25y + 2.50y = 437.50
- 1.25y + 2.50y = 437.50 - 328.75
1.25y = 108.75
y = 108.75 ÷ 1.25
y = 87
Solving for x
x = 263 - y
x = 263 - 87
x = 176
Therefore:
The number of children = x = 176
The number of Adults = y = 87
helppppppppppppp 20 points
Answer:
4 3/7
Step-by-step explanation:
Divide 31 by 7 to the closest whole number. 28/7 is 4 and you have 3/7 left, so you get 4 3/7
pls help i will give you thanks, 5 star rating and brainlist
An electronics store keeps track of the number of computers sold. Last month, 30% of the computers were notebooks. If the store sold 390 notebooks last month, what was the total number of computers sold in the same month?
Answer: 819
Step-by-step explanation: GL
What is the solution to the system of equations?
y = x +3
X=-2
Answer: i don’t know
Step-by-step explanation:
Which conversion is correct?
Question 12 options:
.15, 15%, 1/4
.70, 7%, 3/4
.25, 20%, 1/4
.75, 75%, 3/4
10z + 3 =9z solve for z
Answer:
z=-3
Step-by-step explanation:
Step 1: Subtract 9z from both sides.
Step 2: Subtract 3 from both sides.
I don’t understand, can someone please help.
Answer: 40
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
All triangles has the sum of the internal angle equal to 180
2x+10+3x+x+50=180
Combine like terms
6x+60=180
Subtract 60 on both sides
6x=120
Divide 6 on both sides
x=20
Hope it helped :))
help me so much rn plz plz
Answer:
5(9+x)
Step-by-step explanation:
5 x 9 = 45
then if do 5 times x it would look like 5x
answer please
.........
Hey there!
The perimeter of the floor plan is 30 inches.
Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30
The area of the floor plan is 54 inches²
Area is length x width, so we can do 9 x 6 = 54
The perimeter of the actual size is 105 feet
First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:
9 x 3.5 = 31.5 feet
6 x 3.5 = 21 feet
Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105
The area of the actual size is 661.5 inches²
Area is length x width, so we can do 31.5 x 21 = 661.5
Hope this helps! Tell me if you need more help.
Line ET is tangent to circle A at T, and the measure of arc TG is 46°.
What is the measure of ∠GET?
A: 44°
B: 136°
C: 67°
D: 90°
Answer:
[tex] m\angle GET = 67\degree [/tex]
Step-by-step explanation:
[tex] m\angle GET = \frac{1}{2} \times \bigg(m\widehat {TN} - m\widehat {TG} \bigg) [/tex]
[tex] m\angle GET = \frac{1}{2} \times \bigg(180\degree - 46\degree \bigg) [/tex]
[tex] m\angle GET = \frac{1}{2} \times \bigg(134\degree \bigg) [/tex]
[tex] m\angle GET = 67\degree [/tex]
Which of the following expression(s) are fourth-degree trinomials? Select all that apply.
A. 3x²y + 5x3y + 6yA
B. 6y + 5x3 + 1
C. 5xy - 5x?y2 + 7
D. 3y2 + 3x3y2
Answer:
Options A and B are polynomial of the fourth degree
Step-by-step explanation:
In this problem, option
A. 3x2y + 5x3y + 6y4
Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree
Also the option
B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial
What is the degree of a polynomial?
In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer