a basketball team sells tickets that cost $10, $20, or for VIP seats, $30. The team has sold 3241 tickets overall. It has sold 101 more $20 tickets that $10 tickets. The total sales are $59830. How many tickets of each kind have been sold?
Answer:
x = 1,213
y = 1,314
z = 714
Step-by-step explanation:
$10 = x
$20 = y
$30 = z
10x + 20y + 30z = 59,830
____________
Solving for x:
Since there 101 more $20 tickets than $10 tickets we are making the equation of:
y = x + 101
First equation (substitute the equation above for y)
x + (x+ 101) + z = 3,241
Subtract 101 from 3,241
2x + z = 3,140
Second equation (substitute y with 'x + 101 ')
10x + 20(x + 101) + 30z = 59,830
10x + 20x + 2,020 + 30z = 59,830
Subtract 2,020 from 59,830
10x + 20x + 30z = 57,810
Add 10x and 20x
30x + 30z = 57,810
Cancel out the 30's and divide 57,810 by 30
x + z = 1,927
Now solve using the first 2 equations
2x - z =3,140 = x + z = 1,927
Subtract z
2x = 3,140 = x + 1,927
Divide x
x = 3,140 = 1,927
Subtract 1,927 from 3,140
x = 1,213
____________________
Solving for y:
y = x + 101
y + 1,213 + 101
y = 1,314
____________________
Solving for z:
1,213 + 1,314 + z = 3,241 (Overall tickets sold)
2,527 + z = 3,241
Subtract 2,527 from 3,241
z = 714
____________________
Check math:
10x + 20y + 30z = 59,830
10(1,213) + 20(1,314) + 30(714) = 59,830
What is the slope of the line?
Answer:
Slope = - 3/2
Step-by-step explanation:
(0,2) and (-2,5)
(5-2)/(-2-0) = 3/-2
Solve for x: 2x+1/3 + 1 = x-4/6
This is my last question.
Answer:
Hence, the value of "x" is -4.
Step-by-step explanation:
[tex]\sf \leadsto \dfrac{2x + 1}{3} + 1 = \dfrac{x - 4}{6}[/tex]
[tex]\sf \leadsto \dfrac{2x + 1 + 3}{3} = \dfrac{x - 4}{6}[/tex]
[tex]\sf \leadsto \dfrac{2x + 4}{3} = \dfrac{x - 4}{6}[/tex]
[tex]\sf \leadsto 6(2x + 4) = 3(x - 4)[/tex]
[tex]\sf \leadsto 12x + 24 = 3x - 12[/tex]
[tex]\sf \leadsto 12x - 3x = -12 - 24[/tex]
[tex]\sf \leadsto 9x = -36[/tex]
[tex]\sf \leadsto x = \dfrac{-36}{9}[/tex]
[tex]\sf \leadsto x = -4[/tex]
Hence, solved!!
Answer:
x=-4
Step-by-step explanation:
[tex] \frac{2x +1 }{3} + 1 = \frac{x - 4}{6} [/tex]
[tex] \frac{2x + 1 + 3}{3} = \frac{x - 4}{6} [/tex]
[tex]6(2x + 4) = 3(x - 4)[/tex]
[tex]2(2x + 4) = x - 4[/tex]
[tex]4x + 8 = x - 4[/tex]
[tex]4x - x = - 4 - 8[/tex]
[tex] 3x = - 12[/tex]
[tex]x = \frac{ - 12}{3} [/tex]
[tex]x = - 4[/tex]
Is the graphed function linear?
Answer:
Yes, because each input value corresponds to exactly one output value.
Ranking of best beers at the Portland Brewfest is an example of a(n)
scale.
The ranking of best beers at the Portland Brewfest in a natural and ordered manner is an example of an ordinal scale.
Ordinal scale of measurement is the second level of measurement that defines a variable.
Ordinal scale shows order and ranking between variables that are being defined.
The ranking of best beers is simply natural and ordered into categories. This shows magnitude and rank among variables. This makes it an example of ordinal scale.
Therefore, the ranking of best beers at the Portland Brewfest in a natural and ordered manner is an example of an ordinal scale.
Learn more here:
https://brainly.com/question/16683279
4 of 5
PG
Caroline can type 3500 words in 50 minutes.
Natasha can type 4550 in 70 minutes.
Krutika can type 2400 words in 40 minutes.
Who types at the fastest rate of words per minute?
А
Caroline
B
Krutika
С
Natasha
Answer:
caroline types 3500/50=70 words in 1 minute
natasha.............4550/70=65..................................
krutika................2400/40=60...............................
so the answer is A
Step-by-step explanation:
Answer:
A) Caroline
Step-by-step explanation:
To find this, simply divide the amount of words they type by the amount of minutes they type:
To solve Caroline's do:
3500/50=70
Caroline types 70 words per minute.
To solve Natasha's do:
4550/70=65
Natasha types 65 words per minute.
To solve Krutika's do:
2400/40=60
Krutika types 60 words per minute.
Since Caroline has the highest wpm, we can safely say that Caroline types the fastest rate of words per minute.
4. On a flight from New York to London, an airplane travels at a constant speed. An equation relating
the distance traveled in miles, d, to number of hours flying, t, is t = 1/350d How long will it take the
airplane to travel 800 miles?
Answer:
Answer:
1.6 hours or 1 hour 36 minutes
Step-by-step explanation:
We have been given an equation t=\frac{1}{500}dt=
500
1
d , where d represents distance traveled in miles and t represents time in hours.
To find the time taken by the flight to travel 800 miles, we will substitute d=800d=800 in our given equation as:
t=\frac{1}{500}\times 800t=
500
1
×800
t=\frac{800}{500}t=
500
800
t=\frac{8}{5}t=
5
8
t=1.6t=1.6
1 hour equals 60 minutes.
0.6 hours = 0.6*60 minutes = 36 minutes.
Therefore, it will take the plane 1.6 hours or 1 hour 36 minutes to travel 800 miles.
4) In a survey, the ratio of students who prefer
Italian dressing to ranch dressing is 3 to 10. If
the number of students who prefer Italian is
45, how many students prefer ranch?
A circle of radius 1 rolls along the x-axis until it comes in contact with the functionf(x) = x^2. Find the location of the center of this circle.
2 squared is 4 times 2 is 8 the answer is 8 because 1 times 8 is 8
Write an estimate of 14 to the nearest
tenth
Answer:
10
Step-by-step explanation:
Rules for rounding:
5 or above give it a shove
4 or below Let it go
Let it go means go to the lower tens place rather than the higher
If Sarah walks 5 miles in 50 minutes, then Sarah will walk how far in 80 minutes if she walks at the same speed the whole time? If necessary, round your answer to the nearest tenth of a mile.
Answer:
Sarah will walk 8 miles.
Hope this helps :D
Step-by-step explanation:
Multiply the following
Provide in standard form :)
Answer: See my work
Step-by-step explanation:
Answer:
(−3)(2^2−+3)
Step-by-step explanation:
Write the equation of the line in slope intercept form with the given point and slope.
(0, 3); slope = -2
Answer:
[tex]y = mx + c \\ 3 = - 2(0) + c \\ c = 3 \\ y = - 3x + 3[/tex]
Answer:
y =-2x+3
Step-by-step explanation:
The y intercept is 3 ( the y intercept is when x =0)and the slope is -2
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y =-2x+3
convert 150.55 decimal to binary
Answer:
10010110 . 100011₂
Step-by-step explanation:
A real number consists of two parts.
That is, ( 1 ) Integer part ( 2 ) fractional part
Let us take the given number as an example.
Here, 150 . 55 ← fractional part
↑
(integer part)
So, to make such a decimal number into a binary number you have to use a method like this.
First, you have to make the integer part a binary number.For that, you have to divide the integer part by 2 until it gets zero.Important thing is you have to write the remainders in each step.After that, you have to write the remainders from bottom to top.Now, let us consider the fractional part.To convert the fractional part into a binary number you have to multiply only the fractional part in each step by two.There you'll get an integer part before the fractional part. In this step, you have to write the integer part from top to bottom.Let us solve it now.
Integer part
2 |150
2 |75 - 0
2 | 37 - 1
2 | 18 - 1
2 | 9 - 0
2 | 4 - 1
2 | 2 - 0
2 | 1 - 0
0 - 1
∴ 150 ⇒ 10010110₂
Fractional part
| . 55 × 2
1 | . 10 × 2
0 | . 2 × 2
0 | . 4 × 2
0 | . 8 × 2
1 | . 6 × 2
1 | . 2
As this fractional part not getting the zero even we multiply by 2 continuously, we have to write an approximate value for this.
150.55 ⇒ 10010110 . 100011₂
How do I find the value of h(13)-f(-1) with h(x)= |2-4x| ???
Answer:
72600
Step-by-step explanation:
thats it calculator lng yan
how do i solve xk=v-w solve for x
Answer:
x = (v-w)/k
Step-by-step explanation:
Step 1: Isolate x by dividing both sides of the equation by k.
[tex]\frac{xk}{k} = \frac{v-w}{k}[/tex] [tex]x = \frac{v-w}{k}[/tex]Therefore, the answer is [tex]x = \frac{v-w}{k}[/tex].
Answer:
x = [tex]\frac{v-w}{k}[/tex]
Step-by-step explanation:
xk = v - w ( isolate x by dividing both sides by k )
x = [tex]\frac{v-w}{k}[/tex]
A bag contains
18
red balls and
4
blue.
What percentage of balls are red?
Answer:
81% of the balls are red
Step-by-step explanation:
If you want to find the percentage of balls that are red you will have to divide it by the total number of balls in the ball
18 red + 4 blue = 22 balls part (a)
18/22 = 9/11 part (b) simplify
9/11 * 100 part (c) multiply the fraction by a hundred to get the percentage
81.81 ~ 81% part (d) solve
Answer:
81 9/11%
Step-by-step explanation:
First add the number of red and blue balls together. 18 + 4 = 22
What is the number of red balls? It’s 18
We have to begin by writing this information as a fraction. 18 balls would be the numerator and the total of red and blue balls together, 22 will be the denominato. Now, we have the fraction, 18 (red) / 22 (total). To find the percentage, divide the numerator by the denominator. 18 divided by 22, which is 9/11. Now multiply 9/11 by 100, which gives you 81 9/11%.
Therefore, the answer is 81 9/11%.
Use the given line below to answer parts 1 and 2. Include your work in your final answer. Type your answer in the box provided to submit your solution. 2 (2, 1) -5- (20) F Part 1: Use the graph to count the slope of the line that passes through the points (2, 1) and (2, 0). Part 2: In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.
Answer:1.f=2-(20)
2.21 ---2=F
Step-by-step explanation:Dats my answer in my paper
10 computer operators can compose 120 pages in 2 hours. How many operators should work, if the same job is to be completed in 30 minutes?
Answer:
40 Operators
Step-by-step explanation:
if 10 operators worked on 120 pages for 2 hours
P operators will work on the same pages for 30min
note: 2hrs= 120min
10×120min/120= P × 30/120
cross multiply make P subject of the formulaP= 10×120×120/120×30
P = 40 operators
what is the range i need help
Answer:
[-7, 0]
Step-by-step explanation:
The range describes all values that y can take on. You may notica that the highest point of the graph has an y coordinate of 0 while the lowest has one of -7. Both values are included because they have filled in dots: this means the parenthesis are closed. So, the range would be: [-7, 0]. An alternate way to write this is [tex]-7\leq y \leq 0[/tex].
What is the solution to?
7x – 2y = 18
—4x + 3y = –14
• (-2, 2)
• (1, 6)
• (4, 5)
• (2, - 2)
Answer:
(2, -2)
Step-by-step explanation:
Solve 7x - 2y = 18 for x:
[tex]7x - 2y = 18[/tex] [tex]7x - 2y + 2y = 18 + 2y[/tex] (Add 2y to both sides)[tex]7x = 2y + 18[/tex] [tex]\frac{7x}{7} = \frac{2y+18}{7}[/tex] (Divide both sides by 7)[tex]x = \frac{2}{7}y+\frac{18}{7}[/tex]Substitute 2/7y+ 18/7 for x in -4x + 3y = -14
[tex]-4x + 3y = -14[/tex] [tex]-4(\frac{2}{7}y+\frac{18}{7})+3y=-14[/tex] [tex]\frac{13}{7}y-\frac{72}{7}=-14[/tex] (Simplify both sides of the equation) [tex]\frac{13}{7}y-\frac{72}{7}+\frac{72}{7} =-14+ \frac{72}{7}[/tex] (Add 72/7 to both sides)[tex]\frac{13}{7}y=\frac{-26}{7}[/tex] [tex]\frac{13}{7}y*\frac{7}{13}=\frac{-26}{7} * \frac{7}{13}[/tex] [tex]y = -2[/tex]Substitute -2 for y in x = 2/7y + 18/7
[tex]x = \frac{2}{7}y + \frac{18}{7}[/tex] [tex]x = \frac{2}{7}(-2) + \frac{18}{7}[/tex] [tex]x = 2[/tex] (Simplify both sides of the equation)Given that x = 2 and y = -2, the point is: (2, -2)
Therefore, the solution is (2, -2).
us
Follow the steps in purple to evaluate:
$+(-)
To add or subtract fractions, their denominators
must be the same. In this problem, we can get a
common denominator by multiplying the second
fraction by 3/3.
3 ?]
3
(-ſ).
-
What number belongs in the green box?
The owner of a flower shop sells 18 roses gor 90$ what is the cost in dollars per rose
Answer:
$5
Step-by-step explanation:
divide 90 by 18
please brainiest
6. A road runs 1,200 feet from X to Y and then makes a right angle to Z, a distance of 500
ft. A new road is being built to connect X and Z. How much shorter wilt the new road
be?
Answer:
400 ftStep-by-step explanation:
Use the Pythagorean to find the distance XZ:
[tex]XZ=\sqrt{XY^2+YZ^2} =\sqrt{1200^2+500^2} =\sqrt{1690000} =1300[/tex]The difference of the distance is:
1200 + 500 - 1300 = 400 ftA worker has job offers from two companies. The information below summarizes the job offer from each company.
Company A:
Starting salary of $31,000
Raise of $3000 each year
Company B:
Starting salary of $38,000
Raise of $2000 each year
Part A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.
Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.
Answer:
Part A: 31000 + 3000x = 38000 + 2000x; Part B: 7 years.
Step-by-step explanation:
x = number of years since start
For Company A, we have that salaryA(x) = 31000+3000x,
For Company Part B: salaryB(x) = 38000+2000x
We want x such that salaryA(x) = salaryB(x).
Thus,
31000 + 3000x = 38000 + 2000x (Answer to part A)
Subtracting 31000 from both sides of the equation implies that:
3000x = 7000 + 2000x.
Subtracting 2000x from both sides implies that:
1000x = 7000.
Then, dividing both sides of the equation by 1000 yields:
x = 7 years (Answer to part B)
What is the length of the indicated arc ?
A.
(
1π
⁄
3
)
B.
2π
C.
3π
D.
6π
E.
None of the above
Answer: can u pls upload a pic of the arc so i can help :)
Complete the table using the equation 2y=x+1
The complete table for the expression 2y=x+1 is below:-
x y ( x, y)
-2 ( -1 / 2) [ -2, ( -1 / 2)]
-1 0 [-1 ,0]
0 ( 1 / 2 ) [0, ( 1 / 2 )]
1 1 [1,1]
2 ( 3 / 2 ) [2, ( 3 / 2 )]
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The values of the expression 2y=x+1 will be solved as below:-
2y=x+1
2y = -2 + 1
y = -1 / 2
2y=x+1
2y = -1 + 1
y = 0
2y=x+1
2y = 1 + 1
y = 2 / 2 = 1
2y=x+1
2y = 2 + 1
y = 3 / 2
Therefore, the values of the expression are calculated above.
To know more about expressions follow
https://brainly.com/question/3493733
#SPJ2
Which value of p makes the equation 7p+3=4p+9 true?
p=2
p=3
p=0
p=5
p=2
Step-by-step explanation:
7×2=14
14+3=17
4×2=8
8+9=17
they both get the same end product, meaning 7p+3=4p+9 is TRUE
*edit
Answer:
[tex] \sf \: a) \: p = 2[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of p.
The equation is,
→ 7p + 3 = 4p + 9
Then the value of p will be,
→ 7p + 3 = 4p + 9
→ 7p - 4p = 9 - 3
→ 3p = 6
→ p = 6 ÷ 3
→ [ p = 2 ]
Hence, the value of p is 2.
Anyone has an answer to this question?
Answer:
1/100 cos100⁰ 100 0.1 tan100⁰
i need help plzzzzzzzzzzzzzzzzzzzzzz