Every musician in the band plays either the flute or the drum (but not both). The ratio of flutists to drummers is 7 : 1. If 2 drummers join the group and 6 flutists quit, the ratio of flutists to drummers would be 3 : 1. How many musicians were in the original ensemble? 4. A sloth is swimming in the Charles River at 20 feet per minute. How fast is the sloth swimming in smoots per hour? One smoot is equal to 5 feet, 7 inches. Write your final answer as a simplified fraction.

Answers

Answer 1

Answer:

Number of drummers in original ensemble  [tex]=3[/tex]

Number of flutists in original ensemble [tex]=21[/tex]

Step-by-step explanation:

The ratio of flutists to drummers is [tex]7:1[/tex]

Let number of flutists and drummers be [tex]7x[/tex] and [tex]x[/tex].

As 2 drummers join the group and 6 flutists quit,

Number of drummers = [tex]x+2[/tex]

Number of flutists = [tex]7x-6[/tex]

New ratio of flutists to drummers = [tex]3:1[/tex]

So,

[tex]\frac{7x-6}{x+2}=\frac{3}{1}\\ 7x-6=3(x+2)\\7x-6=3x+6\\7x-3x=6+6\\4x=12\\x=3[/tex]

So,

Number of drummers in original ensemble  [tex]=x=3[/tex]

Number of flutists in original ensemble [tex]=7x=7(3)=21[/tex]

Answer 2

Answer:

the answer is 5!!!

Step-by-step explanation: hope this helps


Related Questions

What is square root of 500

Answers

Answer: The answer is 22.36....

Step-by-step explanation:

(2x + 3) + (1x + 2) =

Answers

3x+5


Combine like-terms
(2x+1x)+(3+2)

Jason sold half of his comic books and then bought eight more. He now has twelve. How many did he begin with ?

Answers

Answer: 8

Step-by-step explanation:

8/2 = 4 + 8 = 12


4) Oceanside Bike Rental Shop charges $17 plus $6 an hour for renting a
bike. Tim paid 59 dollars to rent a bike. For how many hours did he check
out the bike?

Answers

Answer:

he rode for 7 hours because 59-17=42    42 divided by 6 is 7. so Tim rode for 7 hours

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

6x7=42+17=59

A scientist receives a grant for $8,860,000. The
laboratory needs $12,000,000 for new renovations. How
much more money does the laboratory need for new
renovations? Write your answer in scientific notation.

Someone please help I need help!

Answers

Answer:

3140000

Step-by-step explanation:

12,000,000 - 8860000

please help me I really need it

Answers

Answer:

53/3

a

f

e

b

34

Step-by-step explanation:

XY has endpoints at X(2, -3) and
Y(-1, 2). What is the length of XY?

A. 2 units
B. 10 units
C. 34 units

Answers

Answer:

B.

Step-by-step explanation:

I did this, but I'm not 100% sure.

If Ryan gives 4/9 of his 36 cards to Josiah, how many cards does he give Josiah?

Answers

Answer:

16 cards

Step-by-step explanation:

Answer:

Ryan gave 16 cards to Josiah.

Step-by-step explanation:

First we will divide 36 by 9.

36/9 = 4

We know that 1/9 of 36 is 4.

1/9 + 1/9 + 1/9 + 1/9 = ?

4 + 4 + 4+ 4 = ?

4 * 4 = 16

4/9= 16

Ryan gave 16 cards to Josiah.

A fish tank is in the shape of a cube. Its volume is 125 ft?. What is the area
of one face of the tank?

Answers

Answer:

8455.1 gallons • 32006 liters

Step-by-step explanation:

Which costs less per banana, 8 bananas for $1.95 or 12 bananas for $2.29? Explain.

Answers

Answer:

12 bananas for $2.29

Step-by-step explanation:

1.95/8=$0.24 per banana

2.29/12=$0.19 per banana

$0.19>$0.24


12 Bananas is the most worth it

Polygon H is a scaled copy of Polygon G using a scale factor of 1/4


Polygon H's area is what fraction of Polygon G's area?


Whats the answer

Answers

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Given the scale factor 1 : 4 , then

the area factor = 1² : 4² = 1 : 16

That is area of polygon H is [tex]\frac{1}{16}[/tex] area of polygon G

Two glasses of milk And three snack bars have a total of 57 carbs and three glasses of milk and two snack bars have a total of 58 carbs determine how many carbs are in one glass of milk and one snack bar.

Answers

Answer:

14 carbs in milk

10 carbs in snack bar

f(x)+-3x+5 for f(-2)​

Answers

Answer:

f(-2)=11

Step-by-step explanation:

f(-2)=-3(-2)+5

     =6+5

     =11

RANDOM QUESTION!

How would I right the absolute value on my computer for an equation?? is there an alt code or a substitute?

Answers

Answer: On most computer keyboards, you can find the "|" symbol above the backslash, which looks like "

Step-by-step explanation:To type it, simply hold down the shift key and strike the backslash key.

Answer: Typing the Absolute Value Sign

this is for free right?

Step-by-step explanation:

On most computer keyboards, you can find the "|" symbol above the backslash, which looks like " ". To type it, simply hold down the shift key and strike the backslash key.

5/3x+6=2/9x
Please answer x as a fraction

Answers

Answer:

x = -4 2/13

x = -4.15384615385

x = -54/13

(they are all the same, just in different formats)

Step-by-step explanation:

(5/3x) + 6 = (2/9)x

first, make all "x"s have a common denominator

(5/3) = (15/9)

so

(5/3)x = (15/9)x

(15/9)x + 6 = (2/9)x

solve using inverse operations

(15/9)x + 6 = (2/9)x

-(2/9)x         -(2/9)x

(13/9)x + 6 = 0

            -6    -6

(13/9)x = -6

to get rid of the fraction, multiply the entire equation by the denominator

(13/9)x = -6

*9          *9

13x = -54

/13     /13

x = -4 2/13

x = -4.15384615385

x = -54/13

(they are all the same, just in different formats)

Simplify the expression by
distributing, then combining like
terms!
4 (3x + 2) - 6

Answers

Answer:

[tex]\boxed {12x + 2}[/tex]

Step-by-step explanation:

Solve the following expression:

[tex]4(3x + 2) - 6[/tex]

-Use Distributive Property:

[tex]4(3x + 2) - 6[/tex]

[tex]12x + 8 - 6[/tex]

-Combine like terms:

[tex]12x + 8 - 6[/tex]

[tex]\boxed {12x + 2}[/tex]

Answer:

[tex]12x+2[/tex]

Step-by-step explanation:

The first step is to distribute the 4 to the parenthesis. This turns the equation into:

[tex](12x+8)-6[/tex]

We can remove the parenthesis now. Also, now we combine like terms. There are no other variables in the equation, so we leave the 12x alone. Combine the +8 and the -6 to get +2. This leaves the equation at:

[tex]12x+2[/tex]

Find the distance between (2, -5) and (-2, 1). Round to the nearest tenth

Answers

Answer:

7.2

Step-by-step explanation:

7.2 that is the answer i think

The relationship between x and y is proportional. When x is 3, y is 51. What is the value of x when y is 204?

Answers

x = y

When,

3 = 51

x = 204

x = 204*3/51

x = 12

A number divided by three less two is at most two

Answers

Answer:

n ÷ (2 - 3) ≤ 2

Step-by-step explanation:

Let n be 'the number'

n is divided by 3 less than 2

n ÷ (2 - 3) is at most 2

n ÷ (2 - 3) ≤ 2

I hope this helps :)


Is the quotient of
-8÷(-2) is positive or negative?


PLS HELP

Answers

It going to be an postitive
positive. 2 negatives equal a positive

X
0 1 2 3 4
frequency 4 6 18 7 1
Based on the table, what is P (2 > 1)?
Leave your answer in decimal form to three places.

Answers

Point 4 because it’s correct self explanatory

What integer represents the total charge of 7 electrons?

Answers

the integer that represents the total charge of 7 electrons is -1.The total charge of electrons is given by the formula:

total charge = number of electrons x charge of each electron

what are electrons ?

Electrons are subatomic particles that carry a negative electric charge. They are one of the fundamental particles that make up atoms, along with protons and neutrons. Electrons are found in shells or energy levels that surround the atomic nucleus

In the given question,

The total charge of electrons is given by the formula:

total charge = number of electrons x charge of each electron

The charge of an electron is a fundamental constant, which is equal to -1.602 x 10⁻¹⁹ Coulombs. Therefore, the total charge of 7 electrons can be calculated as:

total charge = 7 x (-1.602 x 10⁻¹⁹) C

total charge = -1.1214 x 10⁻¹⁸ C

Note that the charge of an electron is negative because it has an opposite charge to the positively charged protons in an atom. Therefore, the total charge of 7 electrons is also negative. To express this charge as an integer, we need to convert it to scientific notation and round to the nearest whole number. Rounding to the nearest whole number gives:

total charge = -1 x 10⁻¹⁸ C

Therefore, the integer that represents the total charge of 7 electrons is -1.

To know more about electrons, visit:

https://brainly.com/question/1255220

#SPJ1

Find three consecutive even integers such that the sum of the first and third increased by 18 is equal to three times the second.​

Answers

Answer:

           16, 18 and 20

Step-by-step explanation:

x - an integer

2x - an even integer (the first)

Even integers increase by 1 so:

2x+2   - next consecutive integer (the second)

3(2x+2) - three times the second

2x+4  - the third consecutive integer

2x+2x+4 -  the sum of the first and third

2x+2x+4+18 -  the sum of the first and third increased by 18

2x+2x+4+18 = 3(2x+2)  

4x + 22 = 6x + 6

      -6        -6

4x + 16  = 6x

     -4x      -4x

       16 = 2x

2x = 16

2x+2 = 18  

2x+4 = 20

Check:  16+20+18=54;   3×18=54

7 1/2÷(4 1/2- 5 1/8) =​

Answers

i think the answer is -12

Answer:

-12

Step-by-step explanation:

Wich fraction is equivalent to 8/12
A 4/6
B 6/8
C 3/4
D 6/10

Answers

Answer:

4/6 is the answer

Step-by-step explanation:

You'll make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.

Answer:

C

Step-by-step explanation:

sorry cant really explain it i had it on a test and thats what i remeber.

What fraction of an hour is 8 minutes?
Give your answer in its simplest form.

Answers

Answer:

2/15

Step-by-step explanaion

4/30 simplified is 2/15

The school store marks up the price of all items by 30% before selling to
the community. If the store purchases sandals for $50.25, what will be th
price of the sandals after markup? Use a proportion to solve this problem

Answers

Answer:

$65.325 or $65.33

Step-by-step explanation:

When looking for a percentage in a number, you want to multiply that number by the percentage. Remember that all percentages are to the hundreth power, or 0.00. So if you want to find 30% of 50.25, you multiply it by 0.30 or 0.3. After calculating that you will come up with 15.075 as the percentage. Since the store is marking the price up, you add it to the original price. So your equation is 50.25 + 15.075 =?. After calculating that, you get the answer 65.325. That is only half of your answer though because, when dealing with money, you always round to the nearest hundredth. So when you round 65.325, you get 65.33 which should be the correct answer.

question in above picture
explanation please not jusr answer

Answers

Answer:

x+16

Step-by-step explanation:

For this one the negative signs become positive because, if you multiply a negative number*a negative number it becomes positive. That is a rule.

[tex]-(-x-16)\\-1(-1x)-1(-6)\\x+16[/tex]

Answer:

C.) x+16

Distribute parentheses -(-x) - (-16)Apply minus-plus rules

x+16

:) Hope This Helps You :)

HELP PLEASE ITS DUE IN 10 MIN Use algebraic strategies to solve for x.
Check your solutions algebraically and identify any extraneous solutions. Write it step by step.

Answers

Answer:

x = 4, x ≠ -1

Step-by-step explanation:

√3x + 4 = x

(√3x + 4)² = x² (Square both sides to get rid of the radical.)

3x + 4 = x²

0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)

0 = (x - 4)(x + 1) (Factor.)

x = 4   x = -1

Now we need to check for extraneous solutions:

√3(4) + 4 = 4

√12 + 4 = 4

√16 = 4

4 = 4

√3(-1) + 4 = -1

√-3 +4 = -1

√1 = -1

1 ≠ -1

-1 is an extraneous solution.

Please Help Me! "Given ABC ~ ADE with AB = 2 Centimeters, and DE= 10 Centimeters" Whats the length of BC?

A. 6 2/3 centimeters

B. 5 Centimeters

C. 4 Centimeters

D. 6 Centimeters

Answers

C. 4 Centimeters is the answer
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