The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students are in the band?

Answers

Answer 1

Answer:

24

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4[tex]x[/tex]

Let the total number of choir students = 6[tex]x[/tex]

Total number of students = 60

As per question statement, we can write the following equation:

[tex]\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6[/tex]

Total number of band students = 4 [tex]\times[/tex] 6 = 24


Related Questions

Please help!

Sin A =

Sin C =

Cos A =

Cos C =

I’ll give brainliest!!

Answers

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

Step-by-step explanation:

Please see the attached picture for the full solution.

Simplify: (5x2 - 9x + 3) + (4x2 + 4x - 12)
(1) 9x2 + 5x - 9
2) 9x2 - 5x + 15
3) 9x² - 5x-9
4) 9x2 - 13x - 9

Answers

Answer:

3) 9x² - 5x - 9

Step-by-step explanation:

Combine like terms

5x² - 9x + 3 + 4x² + 4x - 12 = 5x² + 4x²  - 9x + 4x    + 3 - 12

                                           = 9x² - 5x - 9

Identify the parent function. 5 --5
a absolute
b reciprocal
c cube root
d square root​

Answers

Step-by-step explanation:

For an absolute value function, the graph will look like an arrow with a sharp inflection point.

Reciprocal function will tend towards a limit when stretched to infinity.

Cube root and square root functions do not tend towards infinity at x = 0, because it is either 0 or the constant value.

The best answer here is Reciprocal. (B)

Answer:

b reciprocal

Step-by-step explanation:

The graphed is the function y = 1/x, it is an odd function and the graph is hyperbola

The function is reciprocal

Correct option is B

P(x) = 2x3 – x2 + 4x + 5 is divided by x + 2. Choose the correct option from each drop-down menu.

When P(x) is divided by x + 2, the remainder is [ ] P(–2) = [ ]. The Remainder Theorem is [verfied/not verified] ]

Answers

The remainder of the division of polynomial, P(x) = 2x3 – x2 + 4x + 5 by (x + 2) is; -23

The remainder of the division of the polynomial, P(x) = 2x3 – x2 + 4x + 5 by (x + 2) can be evaluated by the remainder theorem.

This involves adding evaluating the value of the polynomial at, x = -2.

Since, (x +2) is the Divisor, we evaluate, P(x) at x = -2

Therefore, we have;

P(-2) = 2 ×(-2)³ -(-2)² + 4(-2) + 5

P(-2) = -16 -4 -8 +5

P(-2) = -23.

Therefore, the remainder when P(x) = 2x3 – x2 + 4x + 5 is divided by (x + 2) is; -23

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Write an equation that will satisfy the x and y values in the table below.

Answers

Answer:

The equation that will satisfy x and y values in the table is y = 2x + 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line that represents the equation b is the y-intercept, value y at x = 0

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

From the given table

∵ x = 0 and y = 3, x = 1 and y = 5

x1 = 0 and x2 = 1

y1 = 3 and y2 = 5

→ Substitute them in the rule of the slope above

∵ m = [tex]\frac{5-3}{1-0}[/tex] = [tex]\frac{2}{1}[/tex]

m = 2

∵ b is the value of y at x = 0

∵ y = 3 at x = 0

b = 3

→ Substitute the values of m, b in the form of the equation above

y = 2x + 3

The equation that will satisfy x and y values in the table is y = 2x + 3

I need help wit this ​

Answers

Answer:

75

Step-by-step explanation:

\+_+/

a factor of all even numbers other than 1? pls answer quick​

Answers

Answer: 2

Explanation: 2 is a prime number that is a factor for all even numbers.

Kristine and her friends are raising money for charity. They hope to raise $900 to reach their goal. So far, they have $780. How much more do they need to collect in order to reach their goal?

Answers

Answer:

$120

Step-by-step explanation:

They have raised $780 and need to raise $900.

(Total amount they need to raise) - (total amount they raised) = (how much more they need to collect)

$900 - $780 = $120

if an object has a density of 3.6g/ml and you put it into water, will it sink or float?​

Answers

Answer:

Sink

Step-by-step explanation:

We need to find if an object with a certain density will float or sink in water.

The object will sink in water.

The density of the object is 3.6 g/mL

The density of water is generally [tex]1000\ \text{kg/m}^3[/tex]

An object which has a density more than the liquid it is in then the object will sink.

Let us convert the density of the object to [tex]\text{kg/m}^3[/tex]

[tex]1\ \text{g}=10^{-3}\ \text{kg}[/tex]

[tex]1\ \text{mL}=10^{-6}\ \text{m}^3[/tex]

[tex]1\ \text{g/mL}=\dfrac{10^{-3}}{10^{-6}}=10^3\ \text{kg/m}^3[/tex]

[tex]3.6\ \text{g/mL}=3.6\times 10^3=3600\ \text{kg/m}^3[/tex]

The density of the object [tex](3600\ \text{kg/m}^3)[/tex] is greater than that of water [tex](1000\ \text{kg/m}^3)[/tex].

Hence, the object will sink.

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Find the value of x.
3x-10
25
X+15

Answers

Value of x is 3x-10 25 x * 15
The answer should be 25

On a test, Jim answered 28 problems correctly. He answered 80% of the questions correctly.
How many questions were on the test?

Answers

Answer:

35

Step-by-step explanation:

Graph y < x and y ≥ 4x + 2

Answers

Answer:

Image is attached.

Step-by-step explanation:

Remember since the blue line is greater than, instead of being dashed like the red line, it's solid.

Is someone kind and available enough to do this work for me
I need it really

Answers

Answer:

D. 40.0km

Step-by-step explanation:

When rounding to 3 significant figures, we will have to look at the 4th significant figure. If that figure is 1-4, you round the 3rd figure down. If that figure is 5-9, you round the 3rd figure up.

In this case, the 3rd figure is the tenth 9 and the 4th figure is the hundredth 7.

Since 7 is from 5-9, you round the tenth 9 up. This adds one whole to 39, which makes it 40. You also need to keep 3 significant figures so the decimal zeros are significant. Thus, the answer is 40.0km

Solve the equation
3/2x - 2 > 7

Answers

X > 6

You can multiply each side of equation by the denominator to eliminate the fraction.

Work:

All 7 crawfish in Gumbo's family love hot dogs. Gumbo's mom made 20 hot dogs for
supper one night. Is that enough for each of them to have 3 hot dogs?
No
Yes

Answers

Answer:

no

Step-by-step explanation:

if there is 7 of them and each have 3 that would call for 21 hot dogs

The following rectangle has an area of 3x^2-5x-12. What are the possible side lengths, in terms of x? Explain your answer and justify how you know that the sides you found are possible lengths

Answers

Answer:

the possible side lengths:

3x+4 and x-3

Step-by-step explanation:

factorize the the expression and you will get two expressions in terms of x. those expressions are the lengths of the rectangle

[tex]3 {x}^{2} - 5x - 12[/tex]

1) write -5x as a difference

[tex]3 {x}^{2} + 4x - 9x - 12[/tex]

2) factor out x from the expression 3x²+4x

[tex]x(3x + 4) - 9x - 12[/tex]

3) factor out -3 from the expression -9x-12

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

4) factor out 3x+4 from the expression

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

the possible lengths are 3x+4 and x-3

to check whether the answer is correct, you can just multiply the both lengths using the area of rectangle formulae

area of rectangle formulae

[tex]length \times height[/tex]

(3x+4)(x-3)

= 3x²-9x+4x-12

= 3x²-5x-12 ( proven )

Given the student is a "Moderate" what is the probability that the student is male? Round your answer to three decimal places if necessary.
a. 0.454
c. 0.47
b. 0.614
d. 0.386​

Answers

Answer: B

Step-by-step explanation:

could somebody help me on the 2 question please

Answers

-20 because after the the thermometer hits zero the more negative the temperature gets the colder it is

Answer:

on question 2 the one which you need to write is -20 degrees bcz it's colder than -10 degrees

Step-by-step explanation:

where is the question 1

+this sentence :" is -20 degrees bcz it's colder than -10 degrees "is a 2answer sentence

hope this helps

I have a question on Khan Academy and it says super salad dressing is made with 8 mL of oil for every 3 ml of vinegar which of the following mixtures will take the same as super salad dressing
then it says choose 3 answers there's 5 choices a b c and d a is 80 ml of oil with 30 ml of vinegar

B is 3 ml oil with 8 ml of vinegar
C is 56 mL of oil with 21 mL of vinegar
d 40 mL of oil with 25 mL of vinegar
e is 48 mL of oil with 18 mL of vinegar ​

Answers

Answer:

e

Step-by-step explanation:

8ml x 6= 48ml of oil

3ml x 6= 18ml of vineger

What is the value of the 6 in the number 734,906,257 need fasttt

Answers

Answer:

6 thousands

Step-by-step explanation:

hope it helps

The value of 6 in the given number is in the thousands

On Saturday, a souvenir shop had 125 customers. Sixty-four percent of the customers paid with a credit card. The other customers paid with cash. How many customers paid with cash?

Answers

Answer:

45 customers

Step-by-step explanation:

Given

Total number of customers = 125

percent that paid with credit card = 64%

Customers that paid with credit card = 64% * 125

Customers that paid with credit card = 0.64 * 125 = 80

Number of customers that paid with cash  = 125 - 80

Number of customers that paid with cash = 45 customers

What is electrical energy converted to inside a toaster?
A. thermal energy and light
B. nuclear energy
C. chemical energy
D. kinetic energy

Answers

I believe it is C :)
The electric energy converted in a toaster is A thermal and light

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

p = √24

Step-by-step explanation:

5² = 1² + p²

25 - 1 = p²

p² = 24

p = √24

Approximately 10% of the population is left-
handed. If a school had a student population
of 1200 students, how many of them could
you expect to be right-handed?

Answers

Answer:

1080

Step-by-step explanation:

if 10 percent are left handed that means that 90 percent are right handed

number of people that are right handed = 0.9 × 1200number of people that are right handed = 1080

Answer:

120

Step-by-step explanation:

10%=0.1

1200*0.1=120

Which point on the graph best represents the location of left parenthesis minus 4.5 comma space minus 7 right parenthesis ?

Answers

Answer:

The answer would be A which is L

Answer:

so its A?

Step-by-step explanation:

Which of the following is equivalent to 5x - x + 3x = 30? A 8x = 30 o 7x = 30 с 3x + 5= 30 x = 30​

Answers

Answer:

Step-by-step explanation:

5x -x + 3x =30,  first you combine like terms 5x + 3x-x=30

8x-x =30

8-1=7

7x=30

Answer:

7x=30

Step-by-step explanation:

7x=30

How do you use substitution to solve a system of linear equations?

Answers

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

(hope this helps :) )

Transitive Property of Congruence
If MN = LK and LK = OP, then

Answers

Answer:

If MN=LK and LK=OP, then MN= OP

Answer:

MN = OP

Step-by-step explanation:

Jason purchased 3 popcorns and 2 soft drinks for a total of $15.50.

Ann purchased 4 popcorns and 3 soft drinks for a total of $22.00.

how much does a single soft drink cost?​

Answers

A single soft drink costs $4 and a single popcorn costs $2.50

Find the rate of change
Pls help thx

Answers

Answer:3

Step-by-step explanation:

Go up from one point to the other and whatever the number comes is the answer.

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