Answer:
Let x be the number of tickets sold to adults and y the number sold to students:
x + y = 315. But we know that y was double x, then :
y = 2x
Plug the value of y (in the 1st equation) by 2x:
x+ 2x = 315
3x = 315
and x = 105 (which is the number of tickets sold to adults
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Step-by-step explanation:
The square of 9 less than a number is 3 less than the number. What is the number?
-12 or 7
-12 or -7
- 7 or 12
7 or 12
Answer:
Let the number be x, then (x - 9)^2 = x - 3
x^2 - 18x + 81 = x - 3
x^2 - 19x + 84 = 0
(x - 12)(x - 7) = 0
x = 12 or 7
Step-by-step explanation:
billy wishes to find the equation of a circle. this time however he only knows the end of the diameter are located at (12, 17 ) and (8, -1). below is the equation he came up with. Which part of the equation is incorrect?
Answer:
Y-8
Step-by-step explanation:
Which is the correct equation for the line given the following information: m = -3 b= -5
Find the area of the shaded region:
Find the area of the circle:
Area = PI x r^2
Area = 3.14 x 9^2
Area = 3.14 x 81
Area = 254.34 square cm
Now multiply the area of the circle by the shaded portion which is the fraction of the degree over 360 degrees:
254.34 x 80/360 = 20,347.2/360 = 56.52
The shaded area is 56.52 square cm.
Area of circle formula: A = πr²
A = π(9)²
A = 81π
A = 254.34cm²
The ratio of degrees in the shaded region to total degrees in a circle:
80/360 = 40/180 = 20/90 = 10/45 = 2/9
Multiply:
254.34/1 * 2/9
508.68/9
56.52
Therefore, the area of the shaded region is 56.52cm²
Best of Luck!
1 Point
Coach Martinez is picking one of three students (Bella, Chrissie, or Destiny) to
be team captain. What is a fair way to do this?
O
A. Roll a number cube. If an even number comes up, pick Bella. If a 3
or a 5 comes up, pick Chrissie. If any other number comes up,
pick Destiny
O
B. Choose the tallest of the three girls.
C. Roll a number cube. If 1 or 6 comes up, pick Bella. If 2 or 5 comes
up, pick Chrissie. If any other number comes up, pick Destiny
O
D. Toss a coin twice. If it comes up heads 2 times, pick Bella. If it
comes up heads 1 time, choose Chrissie. If it comes up heads 0
times, choose Destiny.
SUBMIT
Answer:
D?
Step-by-step explanation:
As per probability, the fair way to pick one of three students is to roll a number cube. If 1 or 6 comes up, pick Bella. If 2 or 5 comes up, pick Chrissie. If any other number comes up, pick Destiny.
What is probability?Probability indicates the chance of happening an event or incident.
For option-A, the probability to pick any one student is not equal for all of them.
For option-B, the probability of the tallest student is more to be picked.
For option-C, the probability for all the students to be picked are equal.
For option-D, the probability to pick any one student is not equal for all of them.
Therefore, option-C is the fair way to do.
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Four candidates participated in a school election Bianca received 1/5 of the votes, Chelsea received 0.26 of the votes, Darell received 25% of
the votes, and Francisco received the rest of the votes. What percent of the votes did Francisco receive?
A 29% B 31% C 33% D 35%
Answer:
A - 29%
Step-by-step explanation:
Bianca's 1/5 would be converted to 20%
Chelsea's .26 would be 26%
Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would..
Subtract
100 - 71 = 29%
Therefor, your answer is A.
If Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Given that there were four candidates running for office in the school election, Bianca won 1/5 of the vote, Chelsea got 0.26, Darell got 25%, and Francisco got the remaining votes.
Bianca's 1/5 would be converted to 20% and Chelsea's .26 would be 26%, Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would be applying the subtraction operations,
100 - 71 = 29%
Thus, if Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
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Please I need your help on this.
Answer:
the answer is 7 7/8
Step-by-step explanation:
1. you will need to change the fractions into an improper fraction.
2. you need to then multiply the numerator and denominator to get a 63/8
3. change 63/8 into a mixed fraction leaving you with 7 7/8
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Answer:
Answer is option b)
[tex] {(x - 3)}^{2} + {(y - 4)}^{2} = 400[/tex]
Your guess was right.
Step-by-step explanation:
[tex]the \: question \: states \: that \: \\ distance \: between \: two \: points \: is \: 20 \: units \: \\ and \: the \: two \: points \: are \: (x,y) \: \: and \: \: (3 ,- 4) \\ distance \: formula \\ = \sqrt{ {(x1 - x2) }^{2} + {(y1 - y2)}^{2} } \\ on \: substituting \: the \: values \: in \: formula \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y - ( - 4))}^{2} } \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y + 4)}^{2} } \\ now \: squaring \: on \: both \: sides \\ 400 = {(x - 3)}^{2} + {(y + 4)}^{2} \\ hence \: the \: answer \: is \: option \: b)[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
What is the measure of 1?
95°
90°
80°
85°
Answer:
85°
Step-by-step explanation:
We need to use the angle fact that angles in a quadrilateral add up to 360° and that a right angle is 90°, using this information we can for an equation to find the value of 1. Lets call "1" x so we don't confuse it with an angle. So,
x + 85 + 100 + 90 = 360
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 90 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
x + 85 + 100 + 90 = 360
→ Simplify equation
x + 275 = 360
→ Minus 275 from both sides to isolate x
x = 85
The measure of angle '1' is 85°
Answer:
85°
Step-by-step explanation:
∠1+85°+100°+90°= 360°
∠1 = 360°- 275°= 85°
∠1 =85°
The price of a gallon of milk, in dollars, is measured in the
Answer:ones
Step-by-step explanation:
Mrs. Harless surveyed 18 students about the number of movies they watched this past summer. She displayed the results in a circle graph and a line graph. Which is the better display? Why?
The line graph is bettee.
The better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Given that, Mrs. Harless surveyed 18 students about the number of movies they watched this past summer, she used a circle graph and a line graph.
Since, a line graph used to track changes over short and long periods of time, It represents the change in a quantity with respect to another quantity. It shows how the value of something changes over time, or compare how several things change.
Whereas, a circle graph helps organize and show data as a percentage of a whole, it is divided into slices to illustrate numerical proportion.
Therefore, if Mrs Harless used a circle graph, it would be better to understand the data of the students.
Hence, the better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.
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Which type of sampling method is being employed in the following example: "A newspaper reporter wants to know what the people of Georgia think about the latest trades the Braves baseball team have made for an article but is running late. So, the reporter decides to just ask people at the news office what they think to provide a sample of the public's opinion in the article."
Simple Random Sampling
Sampling of Convenience
Stratified Sampling
Systematic Sampling
Cluster Sampling
Answer:
Sampling of convenience
Step-by-step explanation:
A sampling of convenience is being employed by the newspaper reporter that wants to know what the people of Georgia think about the latest trades.
What is a sampling of convenience?This refers to the non-probability sampling method that relies on data collection from population members who are conveniently available to participate in study.
Hence, the sampling of convenience is being employed by the newspaper reporter that wants to know what the people of Georgia think about the latest trades.
Therefore, the Option B is correct.
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Another khan academy question
First off, notice that this is a right triangle.
You can use this to help write equation.
Equation : x+ (4x-85)=90. The correct answer is "c"
PLEASE HELP FAST
Which transformation preserves size and shape. Choose ALL correct answers
A) Dilations
B) Rotations
C) Translations
D) Reflections
Question 2
Which transformations preserve orientation?
A) Translations
B) Rotations
C) Reflections
D) Dilations
Answer:
A) Dilation C)Reflections or B) Rotations
Step-by-step explanation:
The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3.What is the equation of function g?
Substitute a numerical value for k into the function equation.
g(x) = (7) kx
The correct question is;
The function f(x) = (7^x) + 1 is transformed to function g through a horizontal compression by a factor of 1/3.What is the equation of function g?
Substitute a numerical value for k into the function equation.
g(x) = 7^(kx)
Answer:
Value of k = 1/3 if the function is compressed by compression factor of 1/3.
Step-by-step explanation:
In transformations, the horizontal stretch or compression for a function f(x) is given by g = f(bx) where:
b is a constant.
If b > 0, then the graph of function is compressed.
Now, from the question, we are told that the function is transformed by a compression factor of 1/3.
Function is;f(x) = (7^x) + 1
In transforming to g = f(bx), we have;
g = (7^(x/3)) + 1
Since, we want to find k from the format g = 7^(kx)
Comparing with g = (7^(x/3)) + 1, we cans see that ; k = 1/3
The function g(x) is, [tex]g(x)=7(\frac{1}{3}x )+1[/tex]
The value of k is [tex]\frac{1}{3}[/tex]
To understand more, check below explanation.
Compression of function:The given function is,
[tex]f(x)=7x+1[/tex]
We have to find function g(x) from f(x) after compression by a factor of 1/3.
To find g(x), replace x by [tex]\frac{1}{3}x[/tex].
[tex]g(x)=7(\frac{1}{3}x )+1\\\\g(x)=\frac{7}{3}x+1[/tex]
Thus, the value of k is [tex]\frac{1}{3}[/tex]
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I'm not quite sure about this question, can someone please help.
So the right answer is 78.57 in^2.
Look at the attached picture
Hope it will help you
Good luck on your assignment
You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Answer:
17.3
Step-by-step explanation:
(2+18)=(20mph*2miles)=6 minute
(18-2)=16mph*3miles=11.25
17.25
Lily wants to buy a new smartphone. She has $500 to spend. List three ways she can get a good deal.
Answer:
get a coupon find a cheap on or steal it or get a discountAnswer:
She could use coupon deals, she could research what stores have it cheapest, see what deals online has
Conor buys 75 tokens for games at the arcade. The price to play each game is 3 tokens. If Conor has already played x games, which expression is equivalent to the number of tokens that remain?
A. 3x – 75
B. 3(25 – x)
C. 3(25 + x)
D. 75 + 3x
Answer:
B
Step-by-step explanation:
He didn't get more tokens, so it cannot be D or C, and 3x-75 is simply not true if, for example, he played 2 games.
Pleae mark as Brainliest! :)
Have a nice day.
The value of expression is equivalent to the number of tokens that remain is,
⇒ 3(25 - x)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Conor buys 75 tokens for games at the arcade.\
And, The price to play each game is 3 tokens.
Here, Conor has already played x games.
Hence, The value of expression is equivalent to the number of tokens that remain is,
⇒ 75 - 3x
⇒ 3 (25 - x)
Thus, The value of expression is equivalent to the number of tokens that remain is,
⇒ 3(25 - x)
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Help asap
Find the surface area of a cylinder with 50 inches long and a raduis of 2 inches
Answer:
653.45
Step-by-step explanation:
Answer:
A≈653.45in
A=2πrh+2πr2=2·π·2·50+2·π·22≈653.45127in²
Plz help!!
answer for c using Pythagorean Theorem
Answer:
c=13
Step-by-step explanation:
a^2 +b^2= c^2
12^2+ 5^2= 144+25=
169= c^2
c=13
in a survey of 80 people.it was found that 60 liked oranges only and 10 liked both oranges and apples.the number of people who liked oranges is five times the number of people who liked apples. by using venn-diagram, find the number of people who liked apples only and who didn't like any of these fruits
There are 4 people who only like apples, and 6 people who do not like any fruit.
Since in a survey of 80 people it was found that 60 liked oranges only and 10 liked both oranges and apples, and the number of people who liked oranges is five times the number of people who liked apples, to determine the number of people who liked apples only and the number of people who didn't like any of these fruits, the following calculations must be performed:
First, the number of people who like apples must be determined, knowing that it is 5 times less than the number of people who like oranges.
(60 + 10) / 5 = X 70/5 = X 14 = X
Thus, 14 people like apples, of which 10 of them also like oranges. So there are 4 people who only prefer apples, added to 60 people who prefer oranges and 10 who like both fruits. This gives a total of 74 people, which implies that 6 people do not like any fruit.
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Gabrielle is going to shop with the $150.00 that she earned from doing chores. She wants to save 20% of her money to put into a savings account. She buys a shirt for $42.00 and a pair of pants for
$70.00, with 8% sales tax on both items. Does Gabrielle still have the amount of money she planned to put into her savings account?
no she will not have have the amount she planned on putting into her savings because she has 29.03 left over
Help me I will give brainliest!!!
Answer:
theoretical is first then experimental
Step-by-step explanation:
Answer:
Experimental , Theoretical
Find z 1 z 2 if z 1 = 3(cos37° + isin37°) and z 2 = (cos53° + isin53°
Answer:
[tex]Z_{1} Z_{2} = 3 i[/tex]
Step-by-step explanation:
Step(i):-
Given z 1 = 3(cos 37° + i sin 37°)
z 2 = (cos 53° + i sin 53°)
by using complex numbers
[tex]Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}[/tex]
[tex]Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}[/tex]
step(ii):-
now
[tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]
z ₁ = 3(cos 37° + i sin 37°) = 3 c i s 37°
z ₂ = (cos 53° + i sin 53°) = c i s 53°
we will use formula
[tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]
[tex]Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )[/tex]
[tex]Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))[/tex]
[tex]Z_{1} Z_{2} = 3(0 + i (1)) = 3 i[/tex]
Conclusion:-
[tex]Z_{1} Z_{2} = 3 i[/tex]
Answer:
2i
Step-by-step explanation:
z 2 = 2/3(cos53° + isin53°
I got it right on odyssey ware
Complete the following
The length of a rectangle is twice its width. If the width is 10, what is the area? Can you help me? Please?
Answer:
Area is 200
Step-by-step explanation:
First off since it said that the width is 10, We add another 10 to the length, making it 20.
Next, you multiply 20 and 10 together,
Giving you 200.
I hope I was helpful!
Answer:
200
Step-by-step explanation:
the formula for area is length * width you would 10 * 200
help rsm 2.1/x+1 4/5=3/10x
Answer:
two minus one times .........
The solution to the equation is x = 7, -1.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 2.1/x + 1 (4/5) =(3/10)x.
Simplify the equation as follows:
2.1/x + 1 (4/5) =(3/10)x
2.1/x + 9/5 = (3/10)x
2.1 + (9/5)x = (3/10)x²
21 + 18x = 3x²
3x² - 18x -21 =0
3x² - 21x + 3x -21 =0
3x(x - 7) + 3(x - 7) =0
(x - 7)(3x + 3) =0
x - 7 =0 or 3x + 3 =0
x = 7 or x = -1
Hence, the solution to the equation is x = 7, -1.
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what is the answer to z+10=5 ?
Answer:
z = -5
Step-by-step explanation:
z + 10 = 5
z = 5 - 10
z = -5
Answer: hope this helps ♡
z = -5
Step-by-step explanation:
z + 10 = 5
z + 10 - 10 = 5 - 10
z = -5
(double-check: -5 + 10 = 5 ✓)
Which polygon is a base of the triangular prism?
Which polygon is a lateral face of the triangular prism?
D
G
с
Answer: A triangle is normally the base of a triangular prism. A rectangle is a lateral face of the prism.
Step-by-step explanation:
(D, G and c in the question are unclear.)
Answer:
polygon face - DFG ;; lateral face - DFBA
Step-by-step explanation:
got it right on edge