The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what is the combined number of cellists and violinists?

Answers

Answer 1

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]

[tex]\text{Combined number of cellists and violinists}=10x[/tex]      ...(i)

Number of violinists in the school orchestra = 21

[tex]7x=21[/tex]

Divide both sides by 7.

[tex]x=3[/tex]

Now, the combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=10(3)[/tex]    [Using (i)]

[tex]\text{Combined number of cellists and violinists}=30[/tex]

Therefore, the combined number of cellists and violinists is 30.


Related Questions

HELP PLS BRAINLIEST AND POINTS!!!!

Answers

Answer:

C

Step-by-step explanation:

Since a triangle's area is half as much as a rectangle or square, considering that they have the same width and length, you can basically eliminate choices a and b.

Choice d doesn't make sense because it's a square, now you are left with choice c.

Answer:

I think it might be d.

what is the power to 2​

Answers

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

Please hurry. I will give brainliest. :)

Answers

Answer: Am thinking it is B because am only 11 and I don't know if this is right. Hope this helps, or not...

Step-by-step explanation:

if there are 5 people per 10000 buses how many will there be

Answers

Answer:

45 x 5 = 225 so 225 students altogether on 5 buses

Step-by-step explanation:

have a good day

Answer:

50,000 people.

Step-by-step explanation:

5 people on each bus.

10,000 buses total.

5 x 10,000 = 50,000

What is the slope of the line that passes through the points (-9,8) and
(-21, 10)? Write your answer in simplest form.

Answers

Answer:

The slope is -1/6

Step-by-step explanation:

We simply use the slope formula here

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

thus;

m = (10-8)/(-21 + 9) = 2/-12 = -1/6

Use the right triangle shown to answer the question.
26
32°
*not drawn to scale
What is the approximate value of x?

Answers

Answer:45

Step-by-step explanation:

Answer:13.8

Also Stop cheating

if the radius is 14cmand The perimeter of the sector is 57.32cm.
what is the size of the angle?​

Answers

Answer:

120°

Step-by-step explanation:

A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:

Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r

Where θ is the angle which forms the sector and r is the radius of the circle.

Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:

Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r

[tex]57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o[/tex]

10-2+3x19-8= first to answer will get brainlyest

Answers

57 because of pemdas....
57!!!!!!!!!!!!!!!!!!!

I CANNOT DO THIS, PLEASE HELP! :D

Answers

Answer:

F = [tex]\frac{k}{d^2}[/tex]

Step-by-step explanation:

The equation of proportionality is

F = k × [tex]\frac{1}{d^2}[/tex] = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion

5.
In the given right triangle, find the missing length to the nearest tenth.

A. 25 ft
B. 24.1 ft
C. 8.5 ft
D. 7.9 ft

Answers

Answer:

The answer is A. 25 ft

Step-by-step explanation:

Given a=24 and b=7,

c = 25

∠α = 73.74° = 73°44'23" = 1.287 rad

∠β = 16.26° = 16°15'37" = 0.28379 rad

h = 6.72

area = 84

perimeter = 56

inradius = 3

circumradius = 12.5

The table represents a function.
What is f(-2)?
0 -3
х
-6
-2
f(x)
3
1
4
-2
O-1
O 1
O 3

Answers

9514 1404 393

Answer:

  (c)  1

Step-by-step explanation:

To find f(-2), locate -2 in the x column. Then find the corresponding f(x) value.

 -2 is in the second row, opposite f(x) = 1, so f(-2) = 1.

Answer: c

Step-by-step explanation:

Which statement correctly compares 1/3 and 3/8????

Answers

well, 3/8 < 1/4 because divided by 8 would be smaller and 1/4 is bigger so yeah the last one

Simplify:
√36a^3b^4

A) 6ab^2√a
B) 6ab^2
C) 6ab^2√ab
D) 6ab^3

Answers

Your answer is A !!
Can you mark me BRAINLEST

Can someone help me with question 12A please? Thank you!

Answers

Answer:

Step-by-step explanation:

SOORY

Write an equation to find x by substituting.
3. What does it mean to substitute here?
5x - 2 = 3x +4

Answers

Answer:

3

Step-by-step explanation:

5x-2=3x+4

5x-3x=4+2

2x=6

x=3

I need help my teacher never taught me well

Answers

Answer:

3:20

Step-by-step explanation:

Answer:

4:18

hope it helps.....

Will mark brainliest
The office worker can stamp 25 letters per minute.


At that rate, how many letters can the worker stamp in 5 minutes?




5 letters

20 letters

100 letters

125 letters

Answers

Answer:

125 letters

Step-by-step explanation:

Hope this helps!

125 letters Hope this helps

Find the measure of the missing angle.

Answers

Answer:

Hi

U should do like this

90-51=39...

Answer: 39 degrees

Step-by-step explanation:

Right angle is 90 degrees so 51 plus a will equal 90

A is 39 degrees

Identify the x- and y-intercepts of the equation
4x - y = 8

Answers

Answer:

[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]

Step-by-step explanation:

A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,

[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]

Hence on comparing to standard form we get

x intercept as (2 , 0 )y intercept as (0,-8)

Hence the x - intercept is ( 2 , 0 ) and the y - intercept is ( 0 , -8 ) .

Answer:

x = (2,0)

y = (0,-8)

Step-by-step explanation:

Remember than an intercept always has the other number as 0.

Let's put this in standard form of a linear equation, or y = mx + b

4x - y = 8

-y = -4x + 8

y = 4x - 8

"b" is the y intercept. The y intercept is -8, or (0,-8)

Now, to find the x intercept, all we have to do is substitute 0 for y.

0 = 4x -8

8 = 4x

2 = x

The x intercept is 2, or (2,0)

Complete the similarity statement for the two quadrilaterals given.



Enter your answer in the box.

quadrilateral RBWZ∼quadrilateral

Answers

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.


A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?

Answers

Answer:he has a 44% free throw rate

Step-by-step explanation:

44% because 44/100 = .44 .44x100 = 44%

how to solve proportions ​

Answers

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

⊂ヽ
\\ Λ_Λ
\( 'ㅅ' ) WE ALL NEED CORONA
> ⌒ヽ
/ へ \
/ / \\ or CORONA WILL NEVER Live
レ ノ ヽつ
/ /
/ /|
( (ヽ
| |、\
| 丿 \ ⌒)
| | ) /
⊂ヽ

Answers

Answer:

Wow u good and thanks for the points and I love your profile picture

Step-by-step explanation:

Answer:

wE nEeD cRoNa tO DiE

Step-by-step explanation:

can y'all please help 10 points​

Answers

Answer:

[tex] \frac{23}{24} [/tex]

Step-by-step explanation:

[tex]2a + b[/tex]

[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]

Substitute a = 5/12 and b = 1/8 in the expression.

[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]

Our denominator must be 24. (LCM)

[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]

For Items 16-28, determine whether each function is
even, odd, or neither.
f(x) = -x + 2x + 5
f(x) = x + 8x
f(x) = -7x² + 5
f(x) = 5x + 3x? – 7x + 1

Answers

Answer:

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

is odd since f(x) = -5

f(x) = x + 8x

is neither because f(x) = 0

f(x) = -7x² + 5

is odd since f(x) = √5/7

f(x) = 5x + 3x? – 7x + 1

is odd

Need answers for #3 please hep

Answers

I got the 12 for my answer

The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.

Answers

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

PLEASE ANSWER

What is a ratio?

Answers

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

The quantitative and relatable relation between two amounts of goods or numbers shows the number of times one value contains or is contained within the other or one number/value with respect to the other number/value.

It is basically the relationship between two similar magnitudes with respect to the number of times the first contains the second.

Lets us understand this with the help of an example that the ratio of x to y can be written as

x: y x / y

Example: the ratio of 1 to 2, written 1:2 or 1/2.

Know more about Ratio: https://brainly.com/question/12024093

Tables
Х
у
6
4
8
12
12
24
16
30
Proportional
Not Proportional

Answers

the answer isNot proportional

Answer:

it's not proportional ...

please thnx my answer..

Plz help me i need it BRAINLIEST AND GOOD RATING IMMEDIATLY


Marcus and Lily are running at the school track. The graphs below represent the distance in miles each person has run as function of time in minutes. Select all the statements that are true based on the graphs shown.

Answers

where’s the graphssss???
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