Answer:
For 5 songs the monthly charge be the same for both clubs.
It will cost $ 24.
Step-by-step explanation:
Let, for x songs, the monthly charges are same for both clubs,
Given,
For Treys online music club,
Monthly rate = $ 20,
Additional Charges for a song = $ 0.80,
⇒ Additional Charges for x song = $ 0.80x,
Thus, the total monthly charges for x songs = Monthly rate + Additional Charges for x song
= 20 + 0.80x
Now, for Debs online music club,
Monthly rate = $ 21,
Additional Charges for a song = $ 0.60,
⇒ Additional Charges for x song = $ 0.60x,
Thus, the total monthly charges for x songs = Monthly rate + Additional Charges for x song
= 21 + 0.60x
Hence, we can write,
[tex]20 + 0.80x = 21 + 0.60x[/tex]
[tex]0.80x - 0.60x = 21 - 20[/tex]
[tex]0.20x = 1[/tex]
[tex]\implies x = \frac{1}{0.20}=5[/tex]
Hence, for 5 songs the monthly charge be the same for both clubs.
Also, the cost for 5 songs = 20 + 0.80 × 5 = 20 + 4 = $ 24
James believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received math class requested 315 64 379
Did not get math class requested 41 80 121
Total 356 144 500
Help James determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process.
Based on the table:
Honor students:
315/356 = 88.48% is the total number of people who got the math class requested whereas
Non-honor students:
64/144 = 44.44% did not get the math class requested
So…
They will not have equal chance to get the math class they demanded, if both percent’s were equal, it would be just. For honors students, 88% of them will get the class they demanded, but for non honors students it's 44%.
a female bunny gained one pound per week for six weeks. a male bunny gained two pounds per week for six weeks. how many more pounds did the male bunny gain than the female bunny. two pieces of information are missing
Answer:
6 lbs
Step-by-step explanation:
Female: 1 lb/week
Male: 2 lbs/week
How much did the Female gain in 6 weeks?
1 x 6= 6 lbs.
How much did the Male gain in 6 weeks?
2 x 6= 12 lbs.
How much more did the Male gain than the female?
12-6=6
The male gained 6 more lbs than the female
6 pounds more the male bunny gain than the female bunny.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees
Given:
A female bunny gained one pound per week for six weeks.
So, Female Bunny Weigh in Six weeks= 6 Pounds.
Now, male bunny gained two pounds per week for six weeks.
So, Male Bunny Weigh in Six weeks= 12 Pounds.
Thus, Male Bunny weigh more by (12 - 6)= 6 pounds.
Hence, Male Bunny has 6 Pounds more than female Bunny.
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whats the equation for this problem?
Trapezoid JKLM is shown on the coordinate plane below:
If trapezoid JKLM is translated according to the rule ( x, y)—>(x + 5, y-4), What are the coordinates of point L’ ?
A. (3,-3)
B. (1, -6)
C. (8,-6)
D. (-1, 3)
Answer: (8,-6)
Step-by-step explanation:
the coordinates are (3,-2)
(x+5, y-4)
(3+5,-2-4)
(8,-6)
Figure FGH has vertices located at F(1, 3), G(–1, 2), and H(2, 1). The figure is rotated using the origin as the center of rotation. The image has vertices located at F’(3, –1), G’(2, 1), and H’(1, –2). Which rotation could have taken place?
a 45° clockwise rotation
a 90° clockwise rotation
a 90° counterclockwise rotation
a 180° counterclockwise rotation
Answer: The correct option is
(B) a 90° clockwise rotation.
Step-by-step explanation: Given that the co-ordinates of the vertices of figure FGH are F(1, 3), G(–1, 2) and H(2, 1).
The figure FGH is rotated using origin as the center of rotation and the the co-ordinates of the vertices of image figure F'G'H' are F'(3, -1), G'(2, 1) and H'(1, -2).
We are to select the type of rotation that could have taken place.
The transformation from the vertices of FGH to the vertices of image F'G'H' is
F(1, 3) ⇒ F'(3, -1),
G(-1, 2) ⇒ G'(2, 1),
H(2, 1) ⇒ H'(-1, 2).
Therefore, the transformation rule is (x, y) ⇒ (y, -x). This gives the rotation about origin through an angle of 90°.
Thus, the rotation of 90° clockwise taken place from figure FGH to image F'G'H'.
Option (B) is correct.
A1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16.
a.find an explicit formula for anan: .
b.determine whether the sequence is convergent or divergent: . (enter "convergent" or "divergent" as appropriate.)
c.if it converges, find limn→∞an=limn→∞an= .
Please help me with this one. WILL MARK BRAINLIEST
The total area of the state of tennessee is 69,919 square miles. The area of Nashville is 604 square miles. if a meteor were its land somewhere in the state, estimate the probability that it would land within the city limits of the capital.
Answer:
44000
Step-by-step explanation:
e
i have done this before
The graphic compares two basketball shoes.
After researching many different shoes, Chris narrows down his choice to these two. Which shoes are the best deal?
1 the Hyper-Dunks because they will last for two seasons
2 the Air Slammers because they are the best price
3 the Hyper-Dunks because his favorite pro player wears them
4 the Air Slammers because those are what his teammates chose
Answer:
the answer is B
Step-by-step explanation:
What is the area of this triangle in the coordinate plane? 25.0 units²
27.5 units²
50.0 units²
55.0 units²
convert
11 m^2 to yd^2
2. Draw a line with 3 distinct points on it. Label each with a different letter. How many different rays can you name using only the three given points? (1 point) 8 6 4 2
Which expression is equivalent to 8x - 2y + x + x
A baker needs 4 3⁄4 cups of flour. If she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have at least 4 3⁄4 cups?
Answer:
[tex]3\frac{1}{6}[/tex]
Step-by-step explanation:
Given : A baker needs cups of flour = [tex]4\frac{3}{4} =\frac{19}{4}[/tex]
Solution :
Since we are given that she uses 1 measuring scoop for cup of flour = [tex]1\frac{1}{2} =\frac{3}{2}[/tex]
She uses uses scoop for 1 cup of flour = [tex]\frac{1}{\frac{3}{2}}=\frac{2}{3}[/tex]
She uses scoops for [tex]\frac{19}{4}[/tex] cups of flour = [tex]\frac{2}{3}*\frac{19}{4}[/tex]
= [tex]\frac{19}{6}[/tex]
= [tex]3\frac{1}{6}[/tex]
Thus [tex]3\frac{1}{6}[/tex] scoops of flour must the baker use to have at least 4 3⁄4 cups.
Two step equation; 0.7t - 3.2 = 1.7
75 percent of 88 is the same as 60 percent of what number?
Chord AC intersects chord BD at point P in circle Z.
AP=3.5 in.
DP=4 in.
PC=6 in.
What is BP?
Answer:
5.25
Step-by-step explanation:
A new washing machine used 3 2/4 gallons of water per full load to clean cloths. If John washed 2 2/3 loads of clothes, how many gallons of water would be used?
What is the value of x? Enter your answer in the box. x=
Answer:
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 64
x = 8
Answer:
x=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the leg of the triangle
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse.
We know one of the legs is 6 and the hypotenuse is 10
6^2 +x^2 = 10^2
36+ x^2 = 100
Subtract 36 from each side
36-36 +x^2 = 100-36
x^2 = 64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x = 8
John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get? Without calculating the answer, from the choices given, which is most reasonable? A. 100 miles per gallon B. –6 miles per gallon C. 30 kilometers per liter D. 25 miles per gallon
Answer:
Option D
Step-by-step explanation:
Given that John drives 257 miles and uses 9 gallons of gas.
we can find unit rate as
Per galon mileage given = 257/9 = 28
ANd units are miles/gallon
100 miles per gallon is very far from 28 hence incorrect
6 miles per gallon is very low
30 is right but unit is wrong
Hence option D is the right answer.
Colby and Jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. Jaquan has a different type of bacteria that doubles every 3 hours. How many bacteria should Jaquan start with so that they have the same amount at the end of the day?
Answer:
800
Step-by-step explanation:
204,800 / 2 ^ 8 = 800
What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00?
Answer:
[tex]120^o[/tex]
Step-by-step explanation:
We are asked to find the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00.
Since we know that clock is a circle made of 360 degrees.
Angle described by minute hand in one minute equals to 6 degrees (360/60). Angle described by hour hand in 1 hour equals 30 degrees (360/12).
At 4:00 minute hand will be at 12 and hour hand will be at 4. So we will multiply 4 by 30 to find the measure of angle formed when the clock shows 4:00.
[tex]\text{Measure of angle}=4\times 30^o[/tex]
[tex]\text{Measure of angle}=120^o[/tex]
Therefore, the measure of the angle formed by the minute hand and the hour hand of a clock, when the clock shows 4:00 is 120 degrees.
the sum of two numbers is 40. the sum of the smaller and 5 times the larger is 144. find the numbers.
To find the two numbers, we can solve a system of equations. The smaller number is 14 and the larger number is 26.
Explanation:To find the two numbers, we can solve a system of equations based on the given information. Let's represent the smaller number as x and the larger number as y.
From the first equation, we have x + y = 40.From the second equation, we have x + 5y = 144.We can solve this system using substitution or elimination. Let's use substitution:
From the first equation, solve for x: x = 40 - y.Substitute this value of x into the second equation: (40 - y) + 5y = 144.Simplify the equation: 40 + 4y = 144.Subtract 40 from both sides: 4y = 104.Divide both sides by 4: y = 26.Substitute this value of y back into the first equation to find x: x + 26 = 40. Subtract 26 from both sides: x = 14.Therefore, the smaller number is 14 and the larger number is 26.
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Suppose u1, u2, ..., un are independent random variables and for every i = 1, ..., n, ui has a uniform distribution over [0, 1]. define z = min(u1, ..., un). find the
c.d.f. and the p.d.f of z.
A junior baseball team plays 16 games each summer. Last summer the team scored an average of 3.25 runs per game during the first half of the season. The tteam scored a total of 29 runs during the second half of the season. How many runs were scored by the team last season?
Final answer:
To determine the total number of runs scored by the team last season, we calculate the runs from both halves of the season. The team scored 55 runs in total, with 26 runs in the first half and 29 runs in the second half.
Explanation:
To calculate the total number of runs scored by the junior baseball team last season, we need to add the runs from the first half of the season to the runs from the second half of the season. The team played a total of 16 games, so the first half constitutes 8 games. They scored an average of 3.25 runs per game during the first half. To find the total runs for the first half, we multiply the average runs per game by the number of games:
First-half runs = Average runs per game × Number of games in the first half
First -half runs = 3.25 runs/game × 8 games = 26 runs
For the second half of the season, the team scored a total of 29 runs. Therefore, the total runs scored last season is the sum of the first and second halves:
Total runs = First half runs + Second half runs
Total runs = 26 runs + 29 runs = 55 runs
So, the team scored 55 runs in total last season.
what's the lateral area of the square pyramid 8m 8m 22 m
The formula for finding the lateral area of any square base pyramid is:
[tex] A=a\sqrt{a^2+4h^2} [/tex]
Where "a" is the base edge or the edge of the square and "h" is the height of the pyramid.
In our case, "a"=8 meters and "h"=22 meters
[tex] \therefore A=8\sqrt{8^2+4(22)^2} \approx357.77 [/tex] squared meters
Thus, the lateral area of the given square pyramid is 357.77 squared meters.
converse of the Pythagorean theorem
Answer:
I hope this helps u can use this u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Step-by-step explanation:
Would this be correct?
Sue plays on a soccer team. In one game this season, she scored 8 goals, which was one-fourth of the goals she scored for the whole season. How many goals in all did she score this season? (Please show work)
Sue scored 8 goals in one game, which was one-fourth of her total goals for the season. Multiply 8 goals times 4, we find that Sue scored a total of 32 goals for the season.
Explanation:The problem describes Sue's performance in soccer which tells us that the 8 goals she scored in one game are equivalent to one-fourth of the total goals she scored for the season. To find the total score for the whole season, we have to multiply the periods' score by 4 which is the quotient of the total goals to the periods' goals. So, if 8 goals equals to one-fourth, her total score for that season is 8 goals * 4 = 32 goals. So, Sue, who plays on a soccer team, scored a total of 32 goals for the season.
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Which verbal expression best describes the algebraic expression 4x ÷ 6? (4 points)
The sum of four and some number divided by six
The quotient of four times some number and six
The product of some number and six divided by four
The quotient of four and some number times six
Answer:
its right i took test
Step-by-step explanation: