Answer:
The seating capacity of the auditorium is 2,340.
Step-by-step explanation:
This question relates to an Arithmetic Progression (AP).
An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.
Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:
Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)
Where;
n = number of rows = 30
a_1 = Number seats in the first row = 20
d = Common difference = 24 - 20 = 28 - 24 = 4
Substituting the values into equation (1), we have:
Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))
Seating capacity = 15 * (40 + (29 * 4))
Seating capacity = 15 * (40 + 116)
Seating capacity = 15 * 156
Seating capacity = 2,340
Therefore, the seating capacity of the auditorium is 2,340.
y-intercept. y = -3/2x
Answer:
i hope you find the answer but unfortunaatly im not sure
Step-by-step explanation: thankyou for the points though :)
What is the sum of 3(x + 3) and -2(x - 5)?
A. x - 2
B. x - 1
C. x + 8
D. x + 19
Answer:
The answer is D
Step-by-step explanation:
f(x)5x + 4
Find f(6)
[tex]\sf{Hello!}[/tex]
[tex]f(x) = 5x + 4[/tex]
[tex]f(6) = ---- [/tex]
[tex]f(6) = 5(6) + 4[/tex]
[tex]f(6) = 30 + 4[/tex]
[tex]f(6) = 34[/tex]
Have a nice day!
El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3; si el producto de ambos precios es numéricamente 3 456, calcula el precio del saco de azúcar.
Answer:
El precio del saco del azúcar es de 72.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex] los precios del saco de arroz y el saco de azúcar, respectivamente. A continuación, traducimos cada oración relevante en ecuaciones matemáticas:
(i) El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3:
Aquí se menciona una igualdad entre expresiones racionales, es decir:
[tex]\frac{x}{2} = \frac{y}{3}[/tex]
[tex]3\cdot x -2\cdot y = 0[/tex] (1)
(ii) El producto de ambos precios es numéricamente 3456:
[tex]x\cdot y = 3456[/tex] (2)
Ahora resolvemos el sistema de ecuaciones, despejamos [tex]x[/tex] en (1):
[tex]x = \frac{2}{3}\cdot y[/tex]
Y la aplicamos en (2):
[tex]\frac{2}{3}\cdot y^{2} = 3456[/tex]
[tex]y^{2} = 5184[/tex]
[tex]y = 72[/tex]
El precio del saco del azúcar es de 72.
Solve the equation.
4(z – 3) = 22
Answer: z=6
Step-by-step explanation:
4(z-3)=2z
4z-12=2z subtract 2z from both sides
2z-12=0 add 12 to both sides
2z=12 divide 2 to both sides
z=6
Un químico agrega cierta cantidad de una solución de 86% de alcohol a 11 litros de otra solución al 71% de alcohol y obtiene una solución al 77% de alcohol encuentre la cantidad de litros de la primera solución que se agregaron a la segunda
Answer:
Step-by-step explanation:
Sea x la cantidad de litros de la mezcla al 86%
x× 86% + 11 × 71% = (x + 11) × 77%
0.86x + 7.81 = 0.77x + 8.47
S
You have $18 to spend on lip balm and hand sanitizer. The equation 1.5x + 2.5y = 18 represents this situation, where x is tubes of
lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand
sanitizer?
Answer:
(1.5×5) + (2.5×4)
Step-by-step explanation:
if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D
Can anyone help me please ??
Answer:
c equal 11.40 Step-by-step explanation: c is the hypotenuse so under square root 9^2 +7^2
Answer:
√130 ≈ 11.4
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
9² + 7² = c²
130 = c²
√130 = √c²
√130 = 11.4
752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?
Answer:
188
Step-by-step explanation:
752 x 25% = 188
solve the question, thank you
Answer:
A . m = 11/6
its going to be a
HELP ILL GIVE BRAINLIEST
Answer:
[tex]7.09*10^{8}[/tex]
Step-by-step explanation:
In scientific notation, a number less than 10 (in this case 7.09) is the base, and it is multiplied by 10 with an exponent (in this case 8).
5-10m
WHATS THIS ANSWER?.
.
.
..
.
.
Answer:
-5 is the answer
Step-by-step explanation:
Anthony is shopping at a discount store. He really wants to buy a jacket that costs $129.99. The jacket is on sale for 25% off. Anthony also has a coupon for 35% off any item in the store. If the sales tax is 7.2% after discounts, what is the final sale price of the jacket?
Take the discounts off one at a time in the order listed, and then add on the tax. Round to the nearest cent.
Price after the first discount:
Price after both discounts:
Price after adding tax:
Answer:
dats alot
Step-by-step explanation:
Addy is buying a new pair of aeropostale jeans for $40. They are on sale for 25% off. what is the sale price of the jeans?
Answer:
Step-by-step explanation:
40*25%= 10 off
40-10= $30.00 sale price
Help please uh thanks
Perform the indicated operations. 2−26 −48−16 07−6 76 −200 −73 Arrow −48−16 07−6 −200 −73 1−13 −48−16 07−6 38 −200 −73 Arrow 1-13 07−6 38 −73
Not certain if this question is complete
Answer and Step-by-step explanation:
We perform the operations given, using the rules of subtraction and addition on the number line:
Two negative signs adds up to a negative result, one negative number and positive number may add up to a negative or positive value depending on which is bigger :
2-26= -24( the positive value 2 reduces negative value by 2 and we are left with -24)
-48-16= -64( two negative values add up to a negative value)
07-6= 1( seven is bigger than 6 hence positive result)
We use the above method to solve the given expressions
+76-200-73= -124-73=-192
-48-16=-64
+7-6-200-73=-199-73=-272
+1-13=-12
-48-16=-64
+07-6=1
+38-200-73=-162-73=-235
1-13=-12
07-6=1
38-73= -35
1, -1, 3, 38 & 0, 2, -2, -24
If f(x) = 4x - 8, what is the value of f(-3)?
Answer:
-20
Step-by-step explanation:
f(x)= 4x-8 f(-3)
y= 4(-3) -8
y= -12 -8
y= -20
given the equation 9x+3Y=7 which equation is perpendicular to an equation with a y intercept of 12
the area of rectangle is x^2-3x+2. Find a possible length and width of the rectangle.
Answer:
x - 2 and x - 1 can be possible length and width of the rectangle.
Step-by-step explanation:
Area = x² - 3x + 2
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
To find possible length and width we can factorize the above expression.
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x² - 3x + 2 ( 2 = -1 × -2 )
x² - x - 2x + 2 ( 3 = -1 + -2 )
x(x - 1) + -2(x - 1)
(x - 2) (x - 1)
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x - 2 and x - 1 can be possible length and width of the rectangle.
_________________________________
#teamtrees#WAP
Chocolate sprinkles cost as much per pound as sugar. Find 1 10 the baker's total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.
116=$0.05
hope this helps
The total cost of chocolate sprinkles is $800
What are Place value charts?This is an implementation of the numeral system that shows the value of each digit in a number using their positions
Given that, Chocolate sprinkles cost as much per pound as sugar.
From the complete question, we have the following parameters:
Unit rate = $8.00
Total pounds = 100
Total cost of chocolate sprinkles
So, the total cost of chocolate sprinkles is calculated using the following formula;
Unit = Total / Pounds
This gives
$8.00 = Total / 100
Total = $800
Hence, the total cost of chocolate sprinkles is $800
Read more about place value charts at:
brainly.com/question/12386995
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The admission fee at an amusement park is $1.50 for children and $6.40 for adults. On a certain day, 286 people entered the park, and the admission fees collected totaled $1164. How many children and how many adults were admitted?
Answer:
Adult= 150 and Children=136
Step-by-step explanation:
Solve the inequality >7
t/4>7
Answer:
t > 28
Step-by-step explanation:
Given
[tex]\frac{t}{4}[/tex] > 7 ( multiply both sides by 4 to clear the fraction )
t > 28
£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day
I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out
80 children x 5 days = 400 total lunches.
£100 / 400 lunches = £0.25 per lunch
The cost for one lunch for one student is £0.25
Completely factor f(x)=2x^4+11x^3+2x^2-15x given that f(-3/2)=0
Due today please help
Answer:
There isn't a picture
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!
Answer:
12
Step-by-step explanation:
X x Y =20 So 12 Then 12 - 12 + 12 = 12
What is 2x+8x=6? Please answer accurately???
Answer:
x = 3/5
Step-by-step explanation:
2x + 8x = 6
10x = 6
x = 3/5
Please help and If you can have a good night
Answer:
Please help and If you can have a good night
SSSthe height of an apple
Answer:
apples are usually roundish, 5–10 cm (2–4 inches) in diameter
Step-by-step explanation:
Dwarf apple trees grow about 10 feet tall, while semi-dwarf varieties can reach 15 feet. Meanwhile, standard-size apple trees often soar to heights above 20 feet and sometimes tower at 30 feet.
Apples are 5 - 10 cm in height.
What is height?Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it
Given is an apple.
When harvested, apples are usually roundish, 5–10 cm (2–4 inches) in diameter.
Therefore, apples are 5 - 10 cm in height.
To solve more questions on distances, visit the link below -
brainly.com/question/30215119
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Which is the correct decimal representation of 13/40
Answer:
.325
Step-by-step explanation:
Answer:
0.325 is a decimal
Step-by-step explanation:
19 - (- 41)
plzzzzzz help fast!
Answer:
60
Step-by-step explanation:
Is because when you have two negative -- signs it became positive
19 + 41 = 60
Answer:
60
Step-by-step explanation:
19 - (- 41) by the power of math, it turns into a positive and the subtraction sign to an addition
19 + (+41)
19+40= 60