Twelve members of a band purchase one beverage each during a break at practice. Exactly 5 of the 12 members bought bottled water. At this rate, how many band members would you expect to buy bottled water, if all 168 members purchase a beverage?

Answers

Answer 1

Answer:

70

Step-by-step explanation:

You have to use ratios.  If 5 of 12 members bought water, then x of 168 members will buy water.

[tex]\frac{5}{12} = \frac{x}{168}\\12x = 840\\x = 70[/tex]

70 members will buy bottled water.


Related Questions

In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD

Answers

Answer: AI:EF

Step-by-step explanation:

Answer:

D. ) AI:EF

Step-by-step explanation:

PLATO

How do you simplify:

[tex] \sqrt{(125 ^{2} } ) ^{ - \frac{1}{3} } [/tex]

Answers

Answer:

[tex]\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}[/tex]

Step-by-step explanation:

[tex]\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125[/tex]


The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?

Answers

Answer:

[tex]39.8^{\circ} C[/tex]

Step-by-step explanation:

We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation

[tex]t(h)=10cos(15h-10)^{\circ}+30[/tex]

Where h=Hour of the day with 0 meaning midnight

t=Temperature in degree Celsius

We have to find the temperature on October 1.

Substitute h=0

[tex]t(0)=10cos(15(0)-10)+30[/tex]

[tex]t(0)=10cos(-10)+30[/tex]

[tex]t(0)=39.8^{\circ} C[/tex]

Hence, the temperature in Elma on October 1=[tex]39.8^{\circ} C[/tex]

A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.

Answers

Answer:

  9

Step-by-step explanation:

Put the given information into the equation and solve for x.

  y = (2/3)x -6

  0 = (2/3)x -6 . . . . . substitute for y

  0 = x - 9 . . . . . . . . multiply by 3/2

  9 = x . . . . . . . . . . . .add 9

The x-coordinate of the x-intercept point is 9.

Answer:

x=9

hope this helps :>

Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15

Answers

Answer: B

Step-by-step explanation:

If we assume the no. of books to be x.

Value of more books will be 8.15 x

The equation will be

8.15x + 32.5 = 204

You decide to buy a 60 in plasma-screen TV. You borrow $4500 from the
electronics store at 1.9% per month simple interest, with no payments due for
2 years from the date of purchase.
How much will you owe on the loan after 15 months? Round your answer to
the nearest whole dollar.

Answers

It depends. Don’t forget that you make illegal money too plus the money that you ask from your parents. Make this brainliest because it is really smart thi

What is 5d - 10 = 20​

Answers

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20​

Add 10 to each side

5d - 10+10 = 20+10

5d = 30

Divide by 5

5d/5 = 30/5

d = 6​

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20

Add 10 to both sides of the equation

5d = 30

Divide both sides of the equation by 5

d = 6

Hope this helps :)

Draw the graphs of y=2x plus 1

Answers

Hey there! :)

Answer:

Graphed below.

Step-by-step explanation:

Graphing y = 2x + 1 can be done by finding points on the line. Find the y and x intercepts to make graphing more simple:

Solving for the y-intercept:

y = 2(0) + 1

y = 1, or (0, 1). This is the y-intercept.

Solving for the x-intercept:

0 = 2x + 1

Subtract 1 from both sides:

-1 = 2x

Divide both sides by 2:

x = -1/2, or (-1/2, 0). This is the x-intercept. We can graph the equation given these two points.

0.6y + 0.8 = 0.28y + 1.12

Answers

Answer:

y = 1

Step-by-step explanation:

[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]

Move the variable to L.H.S and change its sign:

[tex]0.6y - 0.28y + 0.8 =1.12[/tex]

Move the constant to R.H.S and change its sign:

[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]

Calculate

[tex]0.32y = 0.32[/tex]

Divide both sides of the equation by 0.32

[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]

Calculate

[tex]y = 1[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Hello!

`~~~~~~~~~~~~~~~~~~~~

0.6y + 0.8 = 0.28y + 1.12 =

[tex]y = 1[/tex]

~~~~~~~~~~~~~~~~~`~~~

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you. Brainliest would be nice!

☆_________________❤︎_________________☆

A pyramid arena in Galveston, TX is a rectangular pyramid with a base area of 70,840ft^2 and a height of 12 stories. Each story is approximately 10 feet. Estimate the volume in cubic feet.

Answers

Answer:

approximate volume = = 28336 cubic ft.

Step-by-step explanation:

Base area = 70840 sq. ft

Each story is about 10 ft.

approximate height = 12*10 = 120 '

Volume of pyramid

= Base * height /3

= 70840 * 120 / 3

= 28336 cubic ft.

Answer: 2,833,600 [tex]ft^{3}[/tex]

Step-by-step explanation: Please see the image below!

What is the product? [ 4 2 ] x [ -2 5 7 -1 ]​

Answers

Answer:

The fourth option is correct  [6  18]

Step-by-step explanation:

This problem has to do with matrix multiplication.

we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix

=[4*-2+2*7] and [4*5+2*-1]

=[-8+14] and [20+-2]

=[6  18]

Answer:

c. (6,18)

Step-by-step explanation:

PLEASE HELP!!!

Here are the prices of five new skateboards, in dollars: 75, 82, 100, 120, 140.
The standard deviation is about $27.
If a sixth skateboard is added to the sample that has a price of $450, what
happens to the standard deviation?

Answers

Answer:

standard deviation=143.527

C

Step-by-step explanation:

75, 82, 100, 120, 140.

if we add 450

75, 82, 100, 120, 140,450

standard deviation=143.527

find the mean=sum /count=967/6=161.167

then find the  √square difference between each sample and the mean, add up the differences²/6-1

find the square root of the differences=143.527

Answer:

C-the new standard deviation is greater the $27

HELPPPPPPPPP ! In circle O, what is measure of Arc AE? A. 84 B. 96 C. 120 D. 168 BTW I HAVE MORE QUESTIONS UP IF YOU WANT TO HELP!!!!!1

Answers

Answer:

arc m AE = 120

Step-by-step explanation:

∠C = 1/2 (AE-BD)

We can fill most of that in with the info we were given:

36= 1/2(AE-48)

Multiply both sides by 2 to get

72 = AE - 48 so  

AE = 120°

What is the equation of the following line? Be sure to scroll down first to see
all answer options

Answers

Answer:

B. -1/3x

Step-by-step explanation:

Start with

y = mx + b

The y-intercept is 0, so we have

y = mx

To find m, the slope, start at (0, 0).

slope = m = rise/run

Go up 1 unit and left 3 units. Rise = 1; run = -3.

m = 1/(-3) = -1/3

Now we have

y = -1/3x

Answer: B.

in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?

Answers

Answer:

The initial value is 1500

growth

43 % growth

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

f(x) = 1500 * 1.43 ^x

The initial value is 1500

1.43 > 1 so it is growth

1- 1.43 = .43

Change to percent

43 % growth

what is the (Highest Common Factor) HCF of 77, 91 and 143. Also give its index notation

Answers

Answer:

Hello!

____________________

77 = 1 x 7 x 11

91 = 1 x 7 x 13

143 = 1 x 11 x 13

Step-by-step explanation: There are no HCF's except 1. So 1 is the highest common factor. HCF ( 77, 91 143 ) = 1

Hope this helped you!

Answer:

HCF = 1

Step-by-step explanation:

Factors of 77 = 1,7,11,77

Factors of 91 = 1, 7, 13, 91

Factors of 143 = 1, 11, 13, 143

The Highest factor which is common in all of the factors is 1.

Index notation = [tex]1^1[/tex]

What value of n makes the equation true?
-1/5n + 7=2
n=​

Answers

Answer:

n = 25

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and is:

Parenthesis

Exponents & roots

Multiplication

Division

Addition

Subtraction

~

First, subtract 7 from both sides:

(-1/5)n + 7 (-7) = 2 (-7)

(-1/5)n = 2 - 7

(-1/5)n = -5

Next, multiply -5 from both sides:

(-1/5)(-5)n = (-5)(-5)

n = -5 * -5

n = 25

25 is your answer for n.

~

Answer: n = 25

Step-by-step explanation: In this equation, our first step is to isolate the n term by subtracting 7 from both sides.

On the left, +7 -7 cancels and we're left with -1/5n.

On the right, 2 - 7 simplifies to -5.

So we have -1/5n = -5.

In order to get n by itself, since it's being multiplied by a fraction,

we multiply both sides of the equation by the reciprocal of that fraction.

The reciprocal of -1/5 is -5/1.

So we multiply both sides of the equation by -5/1.

So we have (-5/1)(-1/5n) = -5(-5/1).

On the left, our 1's cancel and our 1's cancel.

Also, remember that a negative times a negative is a positive.

So on the left we are left with n.

On the right, -5(-5/1) is 25.

So n = 25.

PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?

Answers

Answer:

44%

Step-by-step explanation:

For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.

Peter makes a large amount of pink paint by mixing red and white paint in the ratio 2 : 3. Red paint costs £80 per 10 litres. White paint costs £5 per 10 litres. Peter sells his pink paint in 10-litre tins for £60 per tin. Calculate how much profit he makes for each tin he sells

Answers

Answer: £25

Step-by-step explanation:

Given the following :

pink paint production = mixing red and white paint in the ratio 2 : 3

Price of red paint = 80 per 10 Litre

Price of white paint = 5 per 10 Litre

Selling price of pink paint = £60 per 10 litre

Recall the ratio of red to white paint :

2 : 3 ; 2 +3 = 5

Therefore,

Amount of Red paint used:

= (2/5) × 10 ; 20/5 = 4,

Cost per Litre = 80 / 10 = £8

Cost of red paint = 4 × 8 = £32

Amount of white paints used:

= (3/5) × 10 ; 30/5 = 6

Cost per Litre = 5 / 10 = £0.5

Cost of white paint = 6 × 0.5 = £3

Total cost of production = £(32 + 3) = £35

Profit = selling price - product cost

Profit = £(60 - 35) = £25

What is the value of x in the equation 4x +8y=40, when y=0,8?

Answers

Answer:

x=8.4

Step-by-step explanation:

4x +8y=40

replace y as 0.8

4x+8*0.8=40

4x+6.4=40

subtract 6.4 from both sides

4x=33.6

divide by 4

x=8.4

Step-by-step explanation:

4x + 8y = 40

Simplify the equation

Divide all terms by 4

We have

x + 4y = 10

Make x the subject

x = 10 - 2y

When y = 0.8

Substitute the value of y into the equation

We have

x = 10 - 2(0.8)

x = 10 - 1.6

x = 8.4

Hope this helps you

F(x) = 2x+1 and g(x) =x^2-7 find (f-g) (x)

Answers

Answer:

(f - g)(x) = -x² + 2x + 8

Step-by-step explanation:

Step 1: Plug in variables

2x + 1 - (x² - 7)

Step 2: Distribute the negative

2x + 1 - x² + 7

Step 3: Combine like terms

-x² + 2x + 8

Answer:

  -x^2 +2x +8

Step-by-step explanation:

F(x) = 2x+1

g(x) =x^2-7

(f-g) (x) =2x+1  - ( x^2 -7)

   Distribute the minus sign

           = 2x+1 -x^2 +7

           -x^2 +2x +8

SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/

Answers

Answer:

Step-by-step explanation:

First let's find the value of x :

We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2

the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2  =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distance

Let's find the hypotenuse :

The pythagorian theorem :

h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20[tex]\sqrt{5}[/tex] ≥0 because it is a distance

A) Given the area of a triangle is

B•h/2

B= x and H= 2x

Therefore 2x • x /2 = 400

2x^2 = 800

x^2 = 400

x = - or + 20

However since it’s the area it cannot be negative therefore the x value is 20

So the height is 40 (2x) while the base is 20 (x)

B) Given that the base is 20 and the height is 40, you can use Pythagoras Theorem where:

a^2 + b^2 = c^2

So 20^2 + 40^2 = 400 + 1600 = 2000

C^2 = 2000

C = square root 2000 ( insert in calculator and round up)

That gives you the hypotenuse.

Helppp!!!! please!!!

Answers

Answer:

A) 120 ft^2

Step-by-step explanation:

The total surface area is the sum of the areas of the 4 congruent triangular sides and the area of the square base.

TA = 4 * area of triangle + area of square

TA = 4 * bh/2 + s^2

TA = 4 * 6 ft * 7 ft/2 + (6 ft)^2

TA = 84 ft^2 + 36 ft^2

TA = 120 ft^2

Answer:

A) 120 ft^2

Step-by-step explanation:

As an estimation we are told £3 is €4. Convert £34.50 to euros.

Answers

Answer:

46 euros

Step-by-step explanation:

£30 = 40 euros

4.50 = £3 and £1.50

£3 = 4 euros

1.50 = 2 euros because you half the 4 euros because half of 3 is 1.50

hope this helps if not sorry  

Answer:

€46

Step-by-step explanation:

→ We know £3 = €4, so we have to work out how many euros in £1

£3 =  €4

(÷3)   (÷3)

£1 =  €1.3

→ Now we multiply £34.50 by €1.3 because we know £1 = €1.3

£34.50 × €1.3 = €46

1. A bag contains 15 red balls and 6 blue balls. Find the probability of picking at random a blue ball from the bag.
2. A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball ?
3. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
4. A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?
5. A bag contains 6 blue and 5 black balls. Wihat is the probability of picking a black ball at random?​

Answers

Answer:

1. 6/21

2. 6/14

3. 12/20

4. 4/12

5. 5/11

Step-by-step explanation:

color of ball your looking for/Total amount of balls

Probability for the situations given are 1. 6/21, 2. 3/7, 3. 3/5, 4. 1/3 and 5. 5/11.

What is Probability?

Probability is the chance of getting an outcome for an event. Probability is calculated by dividing the number of likely outcomes by the total number of outcomes.

1. Number of red balls = 15

  Number of blue balls = 6

  Total number of balls = 15 + 6 = 21

  Probability of getting a blue ball = 6/21

2. Number of white balls = 6

   Number of red balls = 8

   Total number of balls = 6 + 8 = 14

   Probability of getting a white ball = 6/14 = 3/7

3. Number of red balls = 12

   Number of blue balls = 8

   Total number of balls = 20

   Probability of getting a red ball = 12/20 = 3/5

4. Number of blue balls = 4

   Number of red balls = 8

   Total number of balls = 12

   Probability of getting a blue ball = 4/12 = 1/3

5. Number of blue balls = 6

   Number of black balls = 5

   Total number of balls = 11

   Probability of getting a black ball = 5/11

Hence the probabilities of selecting a ball at random in each case has been answered.

Learn more about Probability here :

https://brainly.com/question/30034780

#SPJ2

An oblique cone has a radius of 5 units and a height of 9 units. What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth. A)117.8 cubic units B)141.3 cubic units C)235.5 cubic units D)282.6 cubic units

Answers

Answer:

Option (C) 235.5 cubic units

Step-by-step explanation:

Data obtained from the question include:

Radius (r) = 5 units

Height (h) = 9 units

Pi (π) = 3.14

Volume (V) =..?

The formula for calculating the volume of an oblique cone is the same as the formula for calculating the right cone. The formula is given below:

V = 1/3πr²h

With the above formula, we can obtain the volume of the oblique cone as follow:

V = 1/3πr²h

V = 1/3 x 3.14 x 5² x 9

V = 3.14 x 25 x 3

V = 235.5 cubic units.

Therefore, the volume of the oblique cone is 235.5 cubic units.

Explain the significance of the equation y = 50x + 20 which represents the hourly cost of a car repair.

Answers

The questions doesn't really specify much here is as much I can say.

Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).

20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.

Best of Luck!

Differentiate x^(-3)/3-2x^2-x^(-1)

Answers

Answer:

-2x^2

Step-by-step explanation:

Simplify

x^-1 - 2x^2 - x^-1

becomes

-2x^2

. (43 x 2) x 5 = 43 x (2 x 5)
what property is this

Answers

Answer:

This property is known as the associative property

Step-by-step explanation:

In the associative property, you rearrange the numbers so they make the most sense in what position they are in.

Hope this helps! :)

Answer:

associate property

:<

Find the area of the regular polygon.
32

Answers

Answer: 45

Step-by-step explanation: that is correct

Other Questions
Both the ER and Golgi have folds. what is the advantage of folds on an organelle? A. Increased surface area B. Increased volume C. Increased density The use of different dialects in the book are used to characterize _____. Select all that apply.racegendereducation levelpolitical opinion Which of the following are ways that DNA can undergo mutation? A. During DNA replication, the wrong base is added to the strand as it is being built. B. A virus inserts its DNA into the DNA of another organism. C. High-energy waves like UV light or radiation physically damage the DNA. D. A repair DNA polymerase fixes a damaged DNA strand. I need help please help me. What's the term for the illegal practice of nudging buyers away from or toward a specific area based on the presence or absence of protected class members Help me with 2a and 2b please A firm sells peanuts in a perfectly competitive market. Upon increasing production output from 60 packages to 75 packages, the total revenue increased from $300 to $375. What was the marginal revenue of this increase in production? Which of the following would make agood thesis statement on the topic ofuniversal free college?A. Should all students be the recipients of universal freecollege?B. Universal free college should be a basic human rightoffered to all.C. Universal free college education is currently not offeredin The United States of America.D. Currently in America, a college education is veryexpensive. BSelect the correct answer.What must be assumed to be true for HIV-positive people?O A. They are homosexual or bisexual.B. They can transmit HIV to others.O C. They will infect their partners with HIV.OD. They are from sub-Saharan Africa. Which of the possible compounds has a mass of 163 grams when6.13 x 1024 molecules of the compound is put on a scale? The two major wage categories in the United States are hourly and __________.A.part-timeB.white collarC.salariedD.blue collar If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t^2 + 120t. How long will it take the rocket to return to the ground? Group of answer choices which functions are performed by server-side code?? Which verb form correctly completes this sentence? Yo ___________ alojarme en un albergue juvenil. A. preferira B. preferiras C. preferiramos D. preferiran what are saccharomyces cerevisiae Match each image with the life function the organism is performing. Write the expression in standard form. -3 + yi = x + 6i Explain how you would determine the companys contribution margin and contribution margin percent. In your initial post include the following: a. Identify which specific variables should be included in the calculation. b. Illustrate your explanation by calculating the contribution margin and contribution margin percent using hypothetical values. c. Explain what your calculated results tell you about the companys sales and cost structure One mole of any gas at roomtemperature and pressure willoccupy liter(s).A. 10B. 1C. 22.4D. 24Reset Selection i will mark brainliest for correct answers!!200 students attend a school which offers French and History. 10% of those who take History also take French and 4 times as many students take History as take French. 8% of the students take neither History or French. By drawing a Venn Diagram find the probabilty that a student picked at random does History and French. Give your answer as a percentage.