Some people attended a small concert last Saturday. 70 of those people sat in the balcony
of the theater. This was 35% of the people who attended. How many people were at the
concert?

Answers

Answer 1

Answer:

  200

Step-by-step explanation:

If 'a' is the total attendance, the given relation is ...

  70 = 0.35a . . . . . . 70 is 35% of attendance

Dividing by the coefficient of 'a', we find the attendance was ...

  70/0.35 = a = 200

200 people were at the concert.


Related Questions

answer 7 and 10 only​

Answers

7.
We are given:
abcissa(x-coordinate) of given point: -6
let's say the ordinate(y-coordinate) of the given point is y
distance of the given point from (1,3) = √74

we can rewrite the given information as:
the distance between the points (-6,y) and (1,3) is √74

finding y:
we know that in order to find the distance between any two points, we use the distance formula, which goes as follows:
distance = [tex]\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]

from the data we are given, let's say that:
(x₁, y₁) = (-6, y)
(x₂, y₂) = (1, 3)
(you can use them interchangably, there is no restriction on which point gets to be labelled as 1)

plugging this in the distance formula, we get:
distance  = [tex]\sqrt{(-6-1)^2 + (y - 3)^2}[/tex]
we are also given that the distance is √74,

√74 = [tex]\sqrt{(-7)^2 + (y - 3)^2}[/tex]

squaring both sides to get rid of the square root

74 = (-7)² + (y - 3)²
74 = 49 + y² + (3)² -2(y)(3)         (using the "square of sum" identity)
74 = 49 + y² + 9 - 6y
74 = 58 + y² - 6y
y² - 6y + 58 - 74 = 0                   (subtracting 74 from both sides)
y² - 6y - 16 = 0
y² - 8y + 2y - 16 = 0                   (splitting the middle term)
y(y - 8) + 2(y - 8) = 0
(y + 2)(y - 8) = 0
which means that:
y + 2 = 0    ,     y - 8 = 0
y = -2 , y = 8
These are the two possible values of y


8.
We are given:
points A and B
A: (3, y)
B: (6, 2)
distance between A and B = 5 units
finding possible values of y
here, we will use the distance formula again to find the value of y
distance formula: [tex]\sqrt{(x_a-x_b)^2 + (y_a - y_b)^2}[/tex]
plugging the given values, we get:
5 = [tex]\sqrt{(3-6)^2 + (y - 2)^2}[/tex]
25 = (3 - 6)² + (y - 2)²              (squaring both sides)
25 = (-3)² + (y - 2)²
25 = 9 + y² + (2)² - 2(y)(2)
25 = 9 + y² + 4 - 4y
y² - 4y + 9 + 4 - 25 = 0            (subtracting 25 from both sides)
y² - 4y - 12 = 0
y² - 6y + 2y - 12 = 0                 (splitting the middle term)
y(y - 6) + 2(y - 6) = 0
(y + 2)(y - 6) = 0

y + 2 = 0   ,    y - 6 = 0
y = - 2  ,   y = 6
These are the two possible values of y

Write a word problem that can be solved by dividing 6 by 5

Answers

Answer:

If john as 5 apples and has 6 friends That what an apple. How many apples will everybody get.

Step-by-step explanation:

Evaluate the expression for y=-29

-42(y+31)=


Please!!!!

Answers

Answer:

[tex] \huge{ \boxed{ \tt - 84}}[/tex]

Step-by-step explanation:

[tex] \sf \rightarrowtail - 42(y + 31)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42( - 29 + 31)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42(2)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42 \times 2[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 84[/tex]

1+17+29+14+33 how to calculate quickly

Answers

Step-by-step explanation:

take all numbers, and add all of the numbers under 25 first, then add the ones over 25, then add the sum of both:

1

17

14

= 32

29

33

= 62

32 + 62 = 94

The Gantry family has to pay the following bills for the month of June. Electricity $150, Gas $120, Groceries $530, Water $110, Phone and internet $70. What is the total amount the Gantry family needs to pay in bills for the month?

Answers

$980 explanation: 150+120= 270, 270+530=800, 800+110= 910, 910+70 = 980!

I dont understand this question can i please get help?

Answers

Answer:

3x2+(24)(x-(17)

############

Elsa currently has 375 g of sugar and then uses 7 ounces for baking a cake. How many grams (g) of sugar does she have left? 1 ounce = 28 g

Answers

Answer:

179g

Step-by-step explanation:

1ounce = 28g

7 ounces = 196g

375g - 196g

179g

Graph the parabola.
y=3x²-4
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function
button.

Answers

Answer:

Vertex: (0, -4)

Graph: I can't share a link so you can go to desmos and paste your equation

Step-by-step explanation:

the vertex is where the axis of symmetry meets with the parabola.

The axis of symmetry is (-b)/(2a) which equals 0 because there is no linear x value

therefore,

y=3(0)^2-4

=-4

so the vertex is (0, -4)

to find the other points, list two x values larger than 0 and substitute into the equation to find y

list two x values smaller than 0 and substitute to find the points on the left of the vertex.

a water tank has total capacity 1550 if 28% of the water got drained out how much water left the tank​

Answers

Step-by-step explanation:

total capacity =1550l

water drained rate= 28%

amt of water drained =28% of 1550 =434l

now,

water left the tank =1550l-434l =1116l

1)Find the quadratic equation
3(3x [tex] {}^{2} [/tex]+ 1)=12x​
2)Find the quadratic equation
[tex]9y {}^{2} - 12y - 14 = 0[/tex] ​

Answers

Step-by-step explanation:

"find" ?

the equations are already there.

do you mean solve in the sense of finding the zero points of the equations ?

if so,

the general solution of a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

3(3x² + 1) = 12x

9x² + 3 = 12 x

9x² - 12x + 3 = 0

a = 9

b = -12

c = 3

x = (12 ± sqrt(144 - 4×9×3))/18 = (12 ± sqrt(144-108))/18 =

= (12 ± sqrt(36))/18 = (12 ± 6)/18

x1 = (12 + 6) / 18 = 18/18 = 1

x2 = (12 - 6) / 18 = 6/18 = 1/3 = 0.3333333...

9y² - 12y - 14 = 0

same thing, we just use y instead of x.

a = 9

b = -12

c = -14

y = (12 ± sqrt(144 - 4×9×-14))/18 = (12 ± sqrt(144+504)/18 =

= (12 ± sqrt(648))/18 = (12 ± sqrt(324×2))/18 =

= (12 ± 18×sqrt(2))/18

y1 = (12 + 18×sqrt(2))/18 = 12/18 + sqrt(2) = 2/3 + sqrt(2) =

= 0.942809042...

y2 = (12 - 18×sqrt(2))/18 = 12/18 - sqrt(2) = 2/3 - sqrt(2) =

= -0.747546896...

Lin’s family is out for a bike ride when her dad stops to take a picture of the scenery. He tells the rest of the family to keep going and that he’ll catch up. Lin's dad spends 5 minutes taking the photo and then rides at 0.24 miles per minute until he meets up with the rest of the family further along the bike path. Lin and the rest were riding at 0.18 miles per minute.

Answers

It took Lin's dad about 3.6 miles for him to meet up with his family.

Speed

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let d represent the distance travelled by Lin to meet up with his family. Hence:

Total time for Lin's Dad = d/0.24 + 5

Total time for Lin = d/0.18

Hence:

d/0.24 + 5 = d/0.18

100d/24 + 5 = 100d/18

1800d + 2160 = 2400d

d = 3.6 miles

Find out more on Speed at: https://brainly.com/question/4931057

HELP i don’t know what the slope is or how to do this!!!

Answers

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]

please like

Answer:

  undefined

Step-by-step explanation:

Slope is a measure of the vertical change relative to the horizontal change. On an x-y graph, it will be the difference in y-coordinates divided by the corresponding difference in x-coordinates. It is often referred to using the letter m.

  m = (y2 -y1)/(x2 -x1) . . . . . slope of line between points (x1, y1) and (x2, y2)

It does not matter which points you call point 1 and point 2.

__

For the points given on the graph we can compute the slope to be ...

  m = (2 -(-3))/(-1 -(-1)) = 5/0

The zero in the denominator makes this value "undefined." So, we say the slope of any vertical line is "undefined."

Which function is graphed below?

Answers

Answer:

C. f(x)=sin(x)

Step-by-step explanation:

Graphed each equation on desmos to see which one matched your image.

Good luck with your work, edge is the worst xD

Given the following data

Schools 2015-2016 2016-2017 2017-2018
AM 1,279 934 686
Dentistry 3,875 934 686
Dentistry 3,875 3459 2977
ELAMS 778 603 437
Med. Tech 2,244 1829 1259
Nursing 205 146 98
NHM 1,870 1321 846
Optometry 702 617 540
Pharmacy 2,336 1686 1075
Sci. Tech. 1,181 931 667
Grad. Sch. 493 601 599
TOTAL 14,963 12,127 9,184

Create visualizations using the appropriate charts to show the following:
1. the populations for the different schools for the year 2015-2016.
2. the proportion of the School of Nursing  enrolment for the three school years.

Answers

1) in 2015-2016, 8.54% of students enrolled in AM, 25.89% in dentistry, 5.19% in ELAMS, 14.99% in Med. Tech, 1.37% in nursing, 12.49% in NHM, 4.69% in optometry, 15.61% in pharmacy, 7.89% in Sci. Tech, and 3.29% in Grad. Sch.; and 2) the proportion of the School of Nursing enrollment for the three school years was 1.37%, 1.20% and 1.06% respectively.

Proportions

To determine 1) the proportions of the populations for the different schools for the year 2015-2016, and 2) the proportion of the School of Nursing enrollment for the three school years, the following calculations must be made:

AM1,279/14,963 = 0.0854Dentistry 3,875/14,963 = 0.2589ELAMS 778/14,963 = 0.0519Med Tech 2,244/14,963 = 0.1499Nursing 205/14,963 = 0.0137NHM 1,870/14,963 = 0.1249Optometry 702/14,963 = 0.0469Pharmacy 2,336/14,963 = 0.1561Sci. Tech. 1,181/14,963 = 0.0789Grad.Sch. 493/14,963 = 0.0329

146/12,127 = 0.012098/9,184 = 0.0106

Therefore, 1) in 2015-2016, 8.54% of students enrolled in AM, 25.89% in dentistry, 5.19% in ELAMS, 14.99% in Med. Tech, 1.37% in nursing, 12.49% in NHM, 4.69% in optometry, 15.61% in pharmacy, 7.89% in Sci. Tech, and 3.29% in Grad. Sch.; and 2) the proportion of the School of Nursing enrollment for the three school years was 1.37%, 1.20% and 1.06% respectively.

Learn more about proportions in https://brainly.com/question/2548537

What are the coordinates of the image of vertex D after
a reflection across the x axis?

Answers

Answer:

6. Which displays the properties of the selected object?

a) Timeline

b) Property Inspector Box

c) Tools Panel

d) Stage

7. What is the extension of the Animate CC file ?

a) .mp3

b) .fls

c) .xls

d) .fla

8. This is a list of clear instructions for solving a problem.

a) Algorithm

b) Abstraction

c) Decomposition

d) Analysis

9. This is a diagrammatic representation of steps to solve a problem.

a) Looping

b) Flowlines

c) Flowchart

d) Algorithm

10. The ____ tool is used to draw star shapes.

a) Rectangle

b) Oval

c) Square

d) Polygon

Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer

690.28


650.83


500.83


791.28

Answers

Answer:

C) 500.83

Step-by-step explanation:

Surface area for a cylinder formula:

SA = 2πrh + 2πr²

Given:

d = 11

r = d/2 = 11/2 = 5.5

h = 9

Work:

SA = 2πrh + 2πr²

SA = 2(3.14)(5.5)(9) + 2(3.14)(5.5)²

SA = 310.86 + 2(3.14)(30.25)

SA = 310.86 + 189.97

SA = 500.83

what is the answer. help

Answers

Answer: 230

Step-by-step explanation:

Answer:

230.582

Step-by-step explanation:

math, sorry if its wrong im not good with math

1
A coffee pot holds 3 quarts of coffee. How much is this in cups?
4
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

12 cups

Step-by-step explanation:

You multiply the the quarts amount by 4

estimate 635/39 by first rounding each number so that each only has one 1 non-zero digit

Answers

635/39 = 600/40 = 15

An isosceles triangle has an angle that measures 54°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

54 degrees
54 degrees
72 degrees

or

54 degrees
63 degrees
63 degrees

an isosceles triangle has 2 equal angles, and the angles of a triangle always add up to 180 degrees

Ned paid a sale price of $44 for two concert
tickets. If he wants to make a 75% profit on the
tickets, how much will he need to raise the price
of the tickets by? What will be the new selling
price for the tickets?

Answers

Answer:

$33

Step-by-step explanation:

75% profit = 44 x 75% = $33
So, he will need to raise it by $33 to make a 75% profit
New price : #77

Check : If he sell it for $77, he makes a $33 profit, which is 75% of $44.

What s the value of h expression (2) 8

Answers

Answer:

the value of h is 16

help please find the midpoint

Answers

The midpoint is

(-1/2,0)

The supply and demand curves for a market are graft below with price in dollars and quantity in thousands. Which of the following would result from an increase in the supply curve? a. a market equilibrium price greater than $30 b. A market equilibrium price less than $30 c. A market equilibrium quantity less than $30 d. A market equilibrium quantity greater than $30

Answers

Answer:

B) A market equilibrium price less than $30

Step-by-step explanation:

When the supply curve increases, it shifts to the right, making the market equilibrium price lower because the oversupply of the quantity causes demand to drive down.

If A= (-4 -1 -9) (-9 6 9) (-1 -1 3) and B= (-10 -7 -5) (9 -7 -1) (9 -4 2), find 6A - 8B

Answers

The answer is c because (6*-4)-(8*-10)=-104 And that is only on c

PLS ANSWER AS SOON AS POSSIBLE

Answers

Add and subtract the second term to the expression and factor by grouping.
3 (7b - c) (c2+2)

Answer:

[tex]3(7b - c)( {c}^{2} + 2)[/tex]

My solved. is on the picture hope it helps brainliest if correct.

please help with step by step​

Answers

Answer:

Alright breakdown

Step-by-step explanation:

#7. Constant of Proportionality.

divide the 276 by the 184: 276 / 184

which will give you an answer: 1.5

now, multiply 208 by 1.5: 312

Answer: YES

#8 same context, 300 / 425: 0.70

680 x 0.70 : 476

Answer NO

225° transformarlos a radianes

Answers

Step-by-step explanation:

[tex]225 \times \frac{\pi}{180} = 3.927 \: radianes[/tex]

PLS HELP
answer this quick questions please!!
1. c - (-3) = 15
2. (-7) + b = (-11)
3. d x (-4) = 32

Answers

12
-4
-8
Those should be the answers

Answer:

12, -4, -8

Step-by-step explanation:

1) c=12

c+3=15 subtract 3 from each side. c=12

2) b= -4

-7+b=-11 add 7 to each side. b = -4

3) d= -8

-4d=32 divide each side by negative 4. d = -8

Frank is on the swim team. Each week he swims a total of 6,000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer

Answers

Answer:

6 km

Step-by-step explanation:

1 meter = 1/1000 km

(1 meter = 1/1000 km) x 1000

1000 meters = 1 km

6000 meters = ?

1 x 6000m = 1000 x ?

6000 = 1000 x 6

6000/1000 = 1000 x 6/1000

6 = 6

Both sides divided by 1000 are 6, so the answer is 6 km.

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