Answer:
257
Step-by-step explanation:
Let the number of Adults = x
Number of senior citizens = y
Number of children = z
x + y + z = 670 tickets
The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon.
$22 × x + $13 × y + $5 × z = $8526
22x + 13y + 5z = 8526
There were 49 more children than adults.
z = x + 49
x + y + z = 670 tickets
x + y + x + 49 = 670
2x + 49 + y = 670
y = 670 - 2x - 49
We substitute
22x + 13y + 5z = 8526
22x + 13(670 - 2x - 49) + 5(x + 49) = 8526
22x + 8710 - 26x - 637 + 5x +245 = 8526
22x + 5x - 26x + 8710 - 637 + 245 = 8526
x + 8318 = 8526
x = 8526 - 8318
x = 208
The number of Adults = 208
The number rod children is calculated as:
z = x + 49
z = 208 + 49
z = 257
The number of children = 257
The common endpoint of two rays that make up an angle.
The straight line distance between two cities A and B is 223 km. The straight line distance between cities A and C is 152 km. The straight line distance between cities B and C is 285 km. Find the measure of the angle when standing at city C between the lines of sight to cities A and B.
Answer:
Angle between the lines of sight to A and B = 50.94°
Step-by-step explanation:
Distance between the cities A and B = 223 km
Distance between the cities B and C = 285 km
Distance between the cities A and C = 152 km
By applying cosine rule in triangle ABC,
AB² = AC² + BC² - 2(AC)(BC)CosC
(223)² = (152)² + (285)² - 2(152)(285)CosC
49729 = 23104 + 81225 - (86640)CosC
CosC = [tex]\frac{54600}{86640}[/tex]
CosC = 0.630194
C = [tex]\text{Cos}^{-1}(0.630194)[/tex]
C = 50.94°
Therefore, angle between the lines of sight to cities A and B is 50.94°
4 x (22+5)
Simplify the expression.
Answer:
the simplified expression is 108x
Step-by-step explanation:
4x(22+5)
you can remove the parenthesis by multiplying 4x by everything inside of them.
4x * 22 + 4x * 5
88x + 20x
108x
Which statement about the ordered pairs (3, – 8) and (4, 4) is true for the equation
3x - = 112
O (3, – 8) is a solution to the equation but not (4, 4).
Both ordered pairs are solutions.
Neither ordered pair is a solution.
O (4, 4) is a solution to the equation but not (3, – 8).
Answer:
Niether
Step-by-step explanation:
its not a solution
In right triangle ABC, angle A= 90 degree, and AB = BC ,Find angle B, angle C
Answer:
b=45 c=45
Step-by-step explanation:
solve for l:
p = 2(l +w)
Answer:
p=2/1
Step-by-step explanation:
Hope this helps ;)
At the Dessert Island Pastry Cafe, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes. What is the ratio of brownies to donuts? Write your answer as a simplified fraction.
Answer:
22/21............
............
The ratio of brownies to donuts 22:21.
Given that, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, ratio to cakes and donuts = 2:7
Ratio to brownies to cakes = 11:3
Multiply 3 to the ratio 2:7. That is 6:21.
Multiply 2 to the ratio 11:3. That is 22:6.
So, the ratio of brownies to donuts 22:21
Therefore, the ratio of brownies to donuts 22:21.
To learn more about the ratio visit:
https://brainly.com/question/13419413.
#SPJ2
Here's my question. Thanks! :)
If you have 8 thousandths how many times would you multiply by 10
Answer:
-3
Step-by-step explanation:
8 thousandths = 0.008
8*10^-3=0.008
Negative three times a number increased by seven is less than -11.
Answer:
-3x+7<11
Step-by-step explanation:
I hope I helped you
The graph represents a population of bacteria over a number of days, modeled with an exponential function. Based on the graph, which statement is true?
A.Initially there were 1,000 bacteria; the population will reach zero.
B.Initially there were 1,000 bacteria; the population will not reach zero.
C.Initially there were more than 1,000 bacteria; the population will reach zero.
D.Initially there were more than 1,000 bacteria; the population will not reach zero.
Answer:
The answer is B
Step-by-step explanation:
I got a 100% on the quiz
Answer:
B - Initially there were 1,000 bacteria; the population will not reach 0
Explanation:
Edg2020
can someone help me on this please? i just need the work and answer for balancing the equation
Answer:
Step-by-step explanation:
2x - 8 = 10
Bringing like terms on one side
2x = 10 + 8
2x = 18
x = 18/2 = 9
Answer:
x= 9 balance the equation
Step-by-step explanation:
2x-8=10 -------- equation (1)
2x=10+8 -------- equation (2)
2x=18
x = 9
let's put x = 9 into equation(2)
2(9) =10+8
18=18, x= 9 balance the equation
Write the equation of the line whose slope and the point through which it passes are given. Express
the equation in point-slope form.
(4,0) and slope m=-7
Answer:
[tex]y-0=-7(x-4)[/tex]
Step-by-step explanation:
Equation of a line
The point-slope form of the equation of a line is:
[tex]y-k=m(x-h)[/tex]
Where m is the slope and (h,k) is a point through which the line passes.
The line passes through the point (4,0) and has a slope of -7. The equation of the line is:
[tex]y-0=-7(x-4)[/tex]
This is the point-slope form of the line.
Erin can read to chapters of her book in 1.5 hours. If Erin's book has 33 chapters, predict how many hours it will take her to complete her book
pls help
Answer:
33/2= 16.5
16*1.5= 24.75 24 hrs 45 min
Step-by-step explanation:
It will take 24.75 hours of reading to finish 33 chapters of the book.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given is Erin can read two chapters of her book in 1.5 hours and Erin's book has 33 chapters.
Two chapters of book → 1.5 hours of reading
one chapter of book → (1.5/2) hours of reading
33 chapters of book will be completed in → (1.5/2 x 33) = 24.75 hrs
Therefore, it will take 24.75 hours of reading to finish 33 chapters of the book.
To solve more questions on Unitary Method, visit the link below-
https://brainly.com/question/20709929
#SPJ5
41 = 5x + 35 and 3 = 4x + 10. Find the measure of x, 21 and 22.
1
2
3
4
6
5
8
7
Look : angle 1 + angle 3 = 180°
because it is a straight line.
Thus ;
[tex]5x + 35 + 4x + 10 = 180[/tex]
Simplification
[tex]9x + 45 = 180[/tex]
Subtract sides 45
[tex]9 x = 180 - 45[/tex]
[tex]9x = 135[/tex]
Divided sides 9
[tex] \frac{9}{9}x = \frac{135}{9} \\ [/tex]
[tex]x = 15[/tex]
So x = 15°
_________________________________
angle 1 = 5x + 35°
angle 1 = 5 ( 15 ) + 35°
angle 1 = 75° + 35°
angle 1 = 110°
_________________________________
angle 1 + angle 2 = 180°
110° + angle 2 = 180°
Subtract sides 110°
angle 2 = 180° - 110°
angle 2 = 70°
_________________________________
And we're done...♥️♥️♥️♥️♥️
Six times a number plus 3 equals three times the same number minus
nine. What is the number? Hint: Let x= a number. Create the expression for
the other number based on the information
in the word problem.
Answer:
x = -4
Step-by-step explanation:
Six times a number plus 3 equals three times the same number minus
nine. This equation is 6x + 3 = 3x -9. Next, solve this equation and you get -4. Plug in -4 for x and you should get -21 on both sides.
Evaluate the function please help
Answer:
Well, this is not an answer but, i would like do know your grade. ( & WHO'S idea was it to add LETTERS to MATH!?)
644.4 rounded to the tenth
A computer printer can print 10 pages per minute.
Write an expression for the number of pages the
printer can print in m minutes.
Answer:
so if the printer can print 10 pages per min. then the equation would be 10*m.
Step-by-step explanation:
a store sells jump ropes. each jump rope costs the same amount. during a sale, the store reduces the price of each jump rope by $1.90. marc spends $12.78 on 2 jump ropes at the sale price. what was the price of 1 jump rope before the sale
Answer:
$8.29
Step-by-step explanation:
12.78÷2=$6.39
6.39+1.90=$8.29
Answer:
The answer to this is 8.29 because you divide the highest with 2 and then you get 6.39 then you + 2.90
Step-by-step explanation:
Goofy Golf ticket prices for kids under 12 years of age increased from $4.00 to $6.00 this year. What is the percent of increase in the tickets?
A. 60%
B. 50%
C. 40%
Answer C
Step-by-step explanation:
Los profesores de un colegio tienen planeado mandar 6 boletines informativos al año a cada una de las 620 familias con estudiantes en el colegio. Cada uno de los boletines informativos necesita 2 hojas de papel. El papel se vende en resmas de 500 hojas. ¿Cuál es el número mínimo de resmas de papel necesarias para imprimir los boletines del colegio durante un año?
Answer:
14.88 resmas
Step-by-step explanation:
Los maestros de una escuela planean enviar 6 boletines al año a cada una de las 620 familias con estudiantes en la escuela.
Esto significa: El número total de boletines que recibe cada familia = 6 × 620 familias
= La escuela envía 3720 boletines cada año
Cada uno de los boletines necesita 2 hojas de papel.
1 boletín = 2 hojas de papel
3720 boletines =
Cruz multiplicar
3720 boletines × 2 hojas
= Se necesitan 7440 hojas de papel en un año
El papel se vende en resmas de 500 hojas.
¿Cuál es la cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año?
500 hojas de papel = 1 resma
7440 hojas de papel = y
Cruz multiplicar
500 × y = 7440 × 1
y = 7440/500
y = 14.88 resmas
La cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año es 1488 resmas
Make a table of ordered pairs for the equation y=-1/3x+1
Answer:
(0, 1)
(3, 0)
(6, -1)
(9, -2)
.. What type of number is the following?
24i+16
A. Real
B.purely
C.complex
D. Not enough information
Answer:
Step-by-step explanation:
The i is usually the square root of -1 which does not exist in the real number system.
The number given is a mixture of real and complex and is classified as complex.
The answer is C
Answer:
the answer is: C,Complex
Step-by-step explanation:
Complex Numbers
A Complex Numbers is a combination of a real number and an imaginary number in the form a + bi. The real part is a, and b is called the imaginary part.
Examples include 4 + 6i, 2 + (-5)i, (often written as 2 - 5i), 3.2 + 0i, and 0 + 2i.
Note the last two examples:
3.2 + 0i is just the real number 3.2. All real numbers are complex numbers with zero for the imaginary part.
0 + 2i is just the imaginary number 2i. All imaginary numbers are complex numbers with zero for the real part.
I hope it helps you lot!!!
Which number is equivalent to the fraction 15/7
Answer:
2.14
Step-by-step explanation:
7x =6x-9 ....I’m just confused on how it works still
Answer:
x = -9
Step-by-step explanation:
7x = 6x - 9
-6x -6x
x = -9
how many quarters make 40 dollars
can you work it out with quarters
help me please help me please help me please
Given problem;
Number of quarters in $40;
To solve this problem;
Convert the dollar value to cents;100cents = $1
In $40, we would have; 40 x 100 = 4000cents
1 quarter = 25 centsSo, divide 4000cents by 25 to obtain the number of quarters in that amount of dollars;
Number of quarters = [tex]\frac{4000}{25}[/tex] = 160
So there are 160 quarters in $40
30 Points, Will mark Brainliest' !
The values in the table represent a linear function.
What is the function rule?
Write the rule in function notation, using the slope-intercept form of a line.
Enter your answer in the box.
F(x)= ____
Answer:
f(x) = 4x - 3Step-by-step explanation:
Given the table of domain and range
Using the points, lets find the slope-intercept form
y = mx + bThe slope
m = (5-1)/(2-1) = 4/1 = 4y-intercept
5 = 4*2 + bb = 5 -8b = -3So the function is
y = 4x - 3orf(x) = 4x - 3Eric is swimming along the surface of the sea. He uses positive numbers to represent elevations above the surface of the sea and negative numbers to represent depths under the surface of the sea. Mark is sitting on the deck of a ship above Eric , and Ariel is diving beneath Eric. Who could be at an elevation of -3 m?
Answer:
Ariel will be at an elevation of -3 m.
Step-by-step explanation:
There are three persons Eric, Mark and Ariel.
Location of these persons are,
Mark - Sitting at deck (Above the sea level)
Eric - swimming along the surface (At the sea level)
Ariel - diving beneath Eric (Below the sea level)
Since, all the distances above the sea level are measured with positive notation and below the sea level with negative.
Ariel will be at an elevation of -3 m.
Answer:
Ariel
Step-by-step explanation:
khan says so
Select the equation that is the inverse of the given function.
f(x) = x-3/5
• f^-1(x) = 5x + 15
• f^-1(x) = 5x + 3
• f^-1(x) = 3x - 5
• f^-1(x) = - 5/3x
Answer:
f^-1(x) = 5x + 3Step-by-step explanation:
Given function
f(x) = (x - 3)/5Its inverse is
x = (f^-1(x) - 3)/55x = f^-1(x) - 3f^-1(x) = 5x + 3The second option is correct
Answer:
b
Step-by-step explanation:
got it right