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

how do you solve this
(-4) + (+6)

Answers

Answer:

2

Step-by-step explanation:

-4+6=

6-4=

2

The answer is positive 2

Help plz I’m giving a lot of points

And no nonsense answers plz

Answers

Answer:

it is a positive number because she was rising if she had been going down then the number would have become negative.

Step-by-step explanation:

it is a positive number because she was rising,

however, if she was going down the number would become negative.

Destiny earns $0.75 for every 1/4 hour she spends doing chores. How long o points
would it take Destiny to earn $12.00?
2 hours
4 hours
8 hours
16 hours
Answer now please

Answers

Answer:

8 hours

Step-by-step explanation:

i hope it's helpful and 8h is the real answer

8 hours is the right answer

Please help me complete this !! 12points

Answers

Answer:

1.

x1=1

x2=3

y1=5

y2=1

midpoint= (x1+x2/2, y1+y2/2)=(1+3/2,5+1/2)=(2,3)

2.

x1=2

x2=4

y1=4

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(2+4/2,4+6/2)=(3,5)

3.

x1= -2

x2=4

y1=4

y2= -6

midpoint= (x1+x2/2, y1+y2/2)=(-2+4/2,4-6/2)=(1,-1)

4.

x1=0

x2=0

y1=3

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(0/2,3+5/2)=(0,4)

5.

x1= -2

x2=2

y1= -6

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(-2+2/2,-6+6/2)=(0,0)

6.

x1=1

x2=4

y1=4

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(1+4/2,4+5/2)=(5/2,9/2)

7.

x1=-3

x2=-4

y1=5

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(-3-4/2,5+5/2)=(-7/2,5)

8.

x1=5

x2= -4

y1=2

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(5-4/2,2+6/2)=(1/2,4)

Find the GFC of 16 and 80

Answers

Answer:

It is 16

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

What is the value of the growth factor of the function?
A) 1/5
B) 1/3
C) 2
D) 6

Answers

Answer:

B

Step-by-step explanation:

Divide 18 by one third and see what ya get

then 6, then 2. BOOM!

1/2=2m then what is m?

Answers

Answer:

m = 1/4 or 0.25

Step-by-step explanation:

1/2 = 2m

[Symmetric property of equality]

2m = 1/2

÷2. ÷2

[Division property of equality]

m = 1/2 ÷ 2

m = 1/4

________

1/2 = 2m → 1/2 = 2(1/4) → 1/2 = 2/4 →

1/2 = 2÷2/4÷2 → 1/2 = 1/2

3(-1 - x) < -20 - 3x
on a number line

Answers

Answer:

[tex] - 3 - 3x \: < \: - 20 - 3 \\ - 3x < - 20 - 3 + 3 \\ - 3x < - 20 \\ x > - 20 \div 3[/tex]

Please help, I'm stuck...

it looks so simple yet I don't get how to do it. Can anyone help explain?

(picture of question attached)
source: Pearson/Savvas Realize​

Answers

I’m not sure but keep trying

A store sells a package of 25 trading hearts for $5.25 use pencil and paper explain how you can tell that the unit price per card is less than $1 what is the unit price per card.

Answers

Answer:

Unitary cost per card= $0.21

Step-by-step explanation:

Giving the following information:

Number of cards per packecge= 25

Total cost per package= $5.25

To calculate the unitary cost of each card, we need to use the following formula:

Unitary cost per card= total cost / number of cards per package

Unitary cost per card= 5.25 / 25

Unitary cost per card= $0.21

ANSWER QUICK HANKS I WILL GIVE BRAINLIEST

Answers

Answer:

2 2/9

Step-by-step explanation:

Answer: 2 2/9

Step-by-step explanation:

16/9÷4/5=80/36 simp 2 2/9

solve for x:
x/2 + x/5 = 1

Answers

Answer:

x=10/7

Step-by-step explanation:

Answer:

X= 10/7

Step-by-step explanation:

I hope this works

Whats the answer pls help

Answers

Answer:

The area of the lateral surface of the cube is 12.96 cm²

Step-by-step explanation:

The lateral surface area

4 × (1.8 cm)²

An objects lateral surface are the surfaces of the object that exclude the top and bottom surfaces

In a cube, the lateral surface are the vertically oriented (with respect to the base and the top which are then oriented horizontally) surfaces of the cube

Therefore, the lateral surface area of the cube consist of four vertically oriented equal sized faces, each with side 1.8 cm

The area of the lateral surface of the cube = The area of the four vertically oriented faces of the cube

∴ The area of the lateral surface of the cube = 4 × 1.8 cm × 1.8 cm = 12.96 cm.²



Team Damon or team Stefan Or team Kai I’m team ✨Damon✨and ✨Kai✨all the way

Answers

Damon, Kai and klaus
I am team Damon and Kai

Andres has $7 he needs $50 to buy a skateboard each week his grandmother pay him $4 to complete some chores

Answers

Answer:

she has to give him 4 dollars each week for 11 weeks since he already has 7 dollars.

Step-by-step explanation:

4 x 11 = 44 +7 = 51 so now he had enough for a skateboard.

HELP PLEASE :( thank u

Answers

I really don’t know but I’m sure it’s the 1

Tess studied for 2/3 of an hour on Monday and 1 1/2 hours on Tuesday. How much more time did she spend studying on Tuesday than on Monday?

Answers

Answer:

she spent  2 1\6 studying more on tuesday because you got to add

YOU GUYS ARE MEAN! AND AREN’T HELPING ME AND IM WILLING TO GIVE 40POINTS! LOOK AT THE PICTURE ATTACHED!

Answers

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

[tex] {2}^{2x - 3} + 52 = 180[/tex]

[tex] {2}^{2x - 3 } = 128[/tex]

[tex] {2}^{2x - 3} = {2}^{7} [/tex]

[tex]2x - 3 = 7[/tex]

[tex]2x = 10[/tex]

[tex]x = 5[/tex]

this is the choices
88
70
110
120

Answers

Answer would be 110 because if a figure has 4 angles all it's angle lengths add up to 360°, so since one of the angles is 70° and there is another angle that's identical to it, 70+70= 140, so you have to do 360-140 which gives you 220, and 220/2 = 110°

Answer:

110

Step-by-step explanation:

as a trapezoid contains of angles that add up to 360 .....and the top angles are equal and the bottom angles are equal ...therefore >v equals to 70 and w as well and x are equal to 110 each

solve for x.

3x - 8x + 2 = 17

X=

Answers

Answer:

-3

Step-by-step explanation:

3x-8x=17-2

3x-8x=15

-5x=15

-x=15/5

-x=3

x=-3

Solve m+4>9

The solution is __

Answers

Answer:

m>5

Step-by-step explanation:

Answer:

m > 5

Step-by-step explanation:

m+4>9

m > 9 - 4

m > 5

or

m ∈ 《5 , +∞》

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot

Answers

SOH-CAH-TOA

sin Q     =    Opposite     =    26

                 hypotenuse          x

sin 54   =     26

                     x

x sin 54 = 26

x sin 54      =         26    

sin 54                sin 54

x =        26      =    32.1378  ≈  32.1 feet

          sin 54

which expression are equivalent to 2(4f+2g)​

Answers

Answer:

8f+4g

Step-by-step explanation:

Kate saved each week for 5 weeks and then spent $25. How much was she saving each week if she had $100 left at the end of 5 weeks and after spending $25? /3

Answers

Answer:

25 a week.

Step-by-step explanation:

100+25= 125

125÷5 = 25

Equivalent expression for m-(8-3m)

Answers

Answer:

4m-8

Step-by-step explanation:

answer

Answer:

4m - 8

Step-by-step explanation:

Given expression,

→ m - (8 - 3m)

Simplifying the expression,

→ m - (8 - 3m)

→ m - 8 + 3m

→ 4m - 8

→ 4(m - 2)

Hence, answer is 4m - 8.

Evaluate the expression.

−4(−2) − 4 − 2 =

Answers

Answer:

2

Step-by-step explanation:

-4 x -2 is 8. -4 -2 is -6. 8-6 is 2.

Answer:

8-4-2=2

It was +8 because the multiplication of two negatives will give u a positive

Step-by-step explanation:

If a new surfboard in North Carolina costs $320 and the sales tax is 4.75%, what
was the total cost of the surfboard?
$335.20
$304.80
$321.25
$342.40

Answers

$320 + 4.75% = $15.20 .

$320+$15.20= $335.20


What is the slope of the line shown below?

(3,9)

(-4,2)

Answers

Answer:

the slope of the line shown below is 1.

Last year a bag of Farmer Bill's seed corn cost $140. This year that price has increased by 60%. How much will a bag of seed corn cost Farmer Bill this year? *

Answers

Your answer would be $84

Solve the inequality. Please help answer needed fast!! Will give BRAINIEST ANSWER 10 POINTS!!!

Answers

Answer:

lol

edited: x is negative

Step-by-step explanation:

Other Questions
Which is an example of a statistical question?QuestionsQuestion 1 What percent did Matti score on his English test?Question 2 What letter grade did each person score on their English test?Question 3 Who scored the best on their English test?Question 4 Who scored the worst on their English test?question 1question 2question 3question 4 Darwins coach recorded that he had bowled 250 points out of 300 in a bowling tournament. However, the official scoreboard showed that Darwin actually bowled 225 points out of 300. Calculate the percent error. Please show your work. 11. Which elements are least likely to react with other elements? A) metals C) nonmetals B) noble gases D) transition elements What was one restriction placed on free African Americans? A. They were forbidden to vote in many states.B. They had to live in more expensive neighborhoods than white AmericansC. They could not form their own community organizations.D. They could only vote for other African Americans. List these religions oldest to newest:-Christianity -Islamic-Judaism-Hinduism -Buddhism Lenins promise peace, land, bread during the Bolshevik Revolution of 1917 was made in effort to in a pond food chain that includes tadpoles, algae, turtles, dragonflies, and frogs, which one is the primary consumer joseph is planting a garden. he plants 2 tomato plants for every 5 peppers. If joseph plants 14 tomato plants how many pepper plants does he plant? What is the ratio of the length of one leg to the length of the other leg? the difference between 4 times more than 40 and 20 PLEASE ANSWER ASASSP!!!!!!!!!!!!!!!!!!!!Sovle the equation6 (y + 1.5) = -18What is y? Sometimes it doesn't matter how right you are... sometimes just shutting up is the best course of action. 8 people are playing a game.there trying to win.who is imposter?AMONG US.2 IMPOSTERS WHO IS IT?a. green said he saw orange vent and scan is med bayb. orange said it was a task.. cleaning vents.c. black said it is a task trust us....d. lime said huh what's happening there is no vents taske. red said I'm confused vent task? I swear I saw orange vent.\f. white said I saw black scan (then said) 1 person watch me do asteroid'sg. blue said I did trash teal saw and teal did scan teal safeh. teal said i saw blue do trash and blue saw me do scan(they said at the same time) this isn't a real game so don't think it is I NEED HELP RIGHT NOW!!! please help me! i don understand this! :( write features that give readers information that helps themmake choices.Journalism 5. What salting equipment did the people in the past used in storing saltedproducts which was made of clay? Use the Distributive Property to solve the equation. -2(x + 4) = 8 Apply the Distributive Property and simplify. - 2x+ what = 8 1010 rubber stamps cost \$10.30$10.30dollar sign, 10, point, 30.Which equation would help determine the cost of 222 rubber stamps?Choose 1 answer:Choose 1 answer:(Choice A)A\dfrac{2}{x} = \dfrac{\$10.30}{10} x2 = 10$10.30 start fraction, 2, divided by, x, end fraction, equals, start fraction, dollar sign, 10, point, 30, divided by, 10, end fraction(Choice B)B\dfrac{x}{2} = \dfrac{10}{\$10.30} 2x = $10.3010 start fraction, x, divided by, 2, end fraction, equals, start fraction, 10, divided by, dollar sign, 10, point, 30, end fraction(Choice C)C\dfrac{2}{10} = \dfrac{\$10.30}{x} 102 = x$10.30 start fraction, 2, divided by, 10, end fraction, equals, start fraction, dollar sign, 10, point, 30, divided by, x, end fraction(Choice D)D\dfrac{2}{\$10.30} = \dfrac{x}{10} $10.302 = 10x start fraction, 2, divided by, dollar sign, 10, point, 30, end fraction, equals, start fraction, x, divided by, 10, end fraction(Choice E, Checked)ENone of the above is there any possibility to make 100% efficient system Select the three ratios that describe the model.