A choir teacher is dividing 6 sopranos and 20 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make?

Answers

Answer 1
GCF (Greatest Common Factor)

6: 1,2,3,6
20: 1,2,4,5,10,20

2 is the greatest number in both, therefore there can only be 2 groups of 3 sopranos, and 10 altos.

Related Questions

, Nicole played basketball and went swimming before dinner. She spent 1 hour and 30 minutes playing basketball and 1 hour and 17 minutes swimming. Dinner lasted for 53 minutes. If dinner ended at 6:14 P.M., what time did Nicole start playing basketball?

Answers

Answer2:34 P.M

Step-by-step explanation:

Answer:

2: 34pm

Step-by-step explanation:

6.14 - 53= 5.21pm

5.21 - 1.17= 4.04pm

4.04 - 1.30= 2.34pm

Help help help help

Answers

Answer:

17 - 2= 15

so if you do

15 ÷ 3 = 5

so x= 5

Where did we get one?

Answers

Answer:

The -1 came from factoring.

The equation is multiplied by 8 because 8 could be pulled from 16x-8.

16 can be divided by 8 2 times and 8 can only divided by 8 once.

so factoring it makes the equation 8(2x-1)

What should be done first to evaluate the expression?9 - 4 ÷ 5 + 3 × 6

Answers

ANSWER:

24

STEP- BY-STEP-EXPLANATION:

•Group into bodmas

•9-4=5(5+3×6)

5÷5+3×6

1+3×6

4×6=24

A copy machine makes 32 copies per minute how long does it take to make 152 copies?

Answers

Answer:

It should take about 4.75 min.

Step-by-step explanation:

Hope this helps and could you mark me as the brainliest

3/4 x 28= 1/3 of y state y? Please im in a hurry

Answers

The answer is: Y = 63

What are the types of roots in a quadratic equation?

Answers

Answer:

There are three types of roots of a quadratic equation ax2+bx+c=0 a x 2 + b x + c = 0 : Real and distinct roots. Real and equal roots. Complex roots.

Step-by-step explanation:

Hope this helps!

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5/6x10..........................

Answers

Answer:

Your answer is 8 1/3 or 25/3.

Step-by-step explanation:

Hope this helps!

pls help
Given the first term and the common difference of an arithmetic sequence, find the
explicit formula, then find the term named in the problem.

Answers

Answer:

Step-by-step explanation:

an (the nth term ) = a1 + d(n - 1)

=  6 + 3(n - 1).

a17 = 6 + 3(17-1)

= 6 + 48

= 54.


Anna Page, a teacher, earns $1.320 semimonthly. If the school's insurance plan costs a total of
$2,868 and it pays 75 percent of the cost, how much is deducted from each of Page's
paychecks?
Do Hors senderized Meta RecticeMelvin divers, a traveling salesman, has company medical
this
insurance as well as travel insurance. The company he works for pays 60 percent of the
medical insurance and 90 percent of the travel insurance. If the medical insurance has an
annual cost of $3,500 and the travel insurance costs $1,200 per year, what total amount is
deducted from his weekly paycheck for insurance?
A. $2923 B.-561.15 G365 D. 59.04

Answers

Answer A

$2923
Because it can’t be an negative answer and has to be reasonable

(a) The amount that is deducted from each of Page's paychecks semimonthly is $717.

(b) The amount deducted per week is option A, $29.23.

(a) Given that:

The amount earned by Page semimonthly = $1320

Total cost for the insurance plan = $2868

The school pays 75 per cent of the cost.

The percentage of the insurance cost that Page has to pay = 100% - 75% = 25%.

The amount deducted from the paycheck of Page is:

A = 25% × $2868

  = $717

(b) Given that:

The annual cost of medical insurance = $3500

The percentage of this insurance he has to pay = 100% - 60% = 40%.

Annual deduction from his paycheck = 40% × 3500

                                                              = $1400

The annual cost of travel insurance = $1200

The percentage of this insurance he has to pay = 100% - 90% = 10%.

Annual deduction from his paycheck = 10% × 1200

                                                              = $120

Total amount deducted per year = $1400 + $120

                                                       = $1520

Number of weeks in a year = 52 weeks

The amount deducted per week = [tex]\frac{1520}{52}[/tex]

                                                       = [tex]$29.23[/tex]

Hence, the correct option is A. $29.23.

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Please help!!!!!! :(

Answers

Answer:

Yes, it is linear

3x+y=15

Explanation:

Put the variables on opposite sides so that you have:

[tex]\frac{y}{3}[/tex]=5-x

Multiply by 3 on both sides

y=15-3x

Bring x back to y's side

3x+y=15

All done!

Lesson. Derative of trigonometric functions

Answers

Answer:

Step-by-step explanation:

What are the Derivatives of the 6 Trig Functions?

Derivation of sin x: (sin x)' = cos x.

Derivative of cos x: (cos x)' = -sin x.

Derivative of tan x: (tan x)' = sec2 x.

Derivative of cot x: (cot x)' = -cosec2 x.

Derivative of sec x: (sec x)' = sec x. tan x.

Derivative of cosec x: (cosec x)' = -cosec x. cot x.

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?

Answers

Answer:

The slopes of both are m=6

Length of AB=6.082

Length of the image: 3.5 * 6.082 = 21.287

Answer:

Step-by-step explanation:

HELP PLS MARKING BRAINLEIST TO CORRECT ANSWER

Answers

Answer:

6/3=2

Step-by-step explanation:

its very easy pls give brainliest

Answer:

2

Step-by-step explanation:

Slope=Rise/Run

What does that mean? It means that the slope is equal to the change in y over the change in x.

It can be defined as m=(y1-y2)/(x1-x2)

Let's pick two random coordinates.

Say...

(30,10) and (40,30).

x1=30

x2=40

y1=10

y2=30

So when we plug those in, we get

m= (10-30)/(30-40)

which simplifies to (-20)/(-10)

which simplifies to 2.

options of Answer

A) 10 bags of chips and 2 jars of salsa

B) 20 bags of chips and 2 jars of salsa

C) 14 bags of chips and 5 jars of salsa

D) 18 bags of chips and 6 jars of salsa

Answers

Answer:

D) 18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given :  The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality: [tex]2.5x+4y[/tex] ≤ [tex]60[/tex]

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

[tex]2.5(10)+4(2)[/tex] ≤[tex]60[/tex]

[tex]25+8[/tex] ≤[tex]60[/tex]

[tex]33[/tex]≤[tex]60[/tex]

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

[tex]2.5(10)+4(2)[/tex]≤[tex]60[/tex]

[tex]50+8[/tex]≤[tex]60[/tex]

[tex]58[/tex]≤[tex]60[/tex]

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

[tex]2.5(14)+4(5)[/tex]≤[tex]60[/tex]

[tex]35+20[/tex]≤[tex]60[/tex]

[tex]55[/tex]≤[tex]60[/tex]

Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

[tex]2.5(18)+4(6)[/tex]≤[tex]60[/tex]

[tex]45+24[/tex]≤[tex]60[/tex]

[tex]69\geq 60[/tex]

Hence it is not correct since it violates the inequality

what is the equation of line that is perpendicular to the line: y=3x-6 and goes through the point ( -3 , 6 )

Answers

Step-by-step explanation:

y = 3x - 6

the slope of a line is always the factor of x in the equation. in our case here : 3 = 3/1.

the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.

so, in our case, it is -1/3.

the equation for the perpendicular line looks like this then :

y = (-1/3)×x + b

to get b we use the provided point and it's x and y values.

6 = (-1/3)×-3 + b = 1 + b

b = 5

so, the full equation of the perpendicular line is

y = (-1/3)×x + 5

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Answers

Answer:

It is correct because the smallest one is 3 the second one all together is 15 and the last one is 60.

Step-by-step explanation: Basically you can divide the 60 with 15 and you can divide 60 with 3.

60/15 = 4

60/3 = 20

and 4 can go in to 20 5 times so yeah.

And I hope I helped you out.

Is 12 × –1 positive or negative? positive negative Submit

Answers

Answer:

it's a negative number. the answer would be

Step-by-step explanation:

-12

Given:



A

E

D





A

C

B

.

∠AED≅∠ACB.


Prove:



A

B

C





A

D

E

∠ABC≅∠ADE.


Answers

The triangles have a common vertex angle, and a given pair of

corresponding and congruent angles, they are therefore similar triangles.

∠ABC ≅ ∠ADE  (CASTC)

Reasons:

The given parameters are;

∠AED ≅ ∠ACB

By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =

∠BAC in common.

Therefore, ∠DAE ≅ ∠BAC, by reflexive property.

Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in

ΔACB.

(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA

Angle-Angle similarity postulate, and by Corresponding Angles of Similar

Triangles are Congruent CASTC we have;

∠AED ≅ ∠ACB

∠DAE ≅ ∠BAC

∠ABC ≅ ∠ADE

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Express the interval shown on the number line in inequality notation.
G
T-
10 12
-12
-6
6
-10
8
-8
-2 0
24
-4
A
U
>>
Al
00
IA
00
or
D.
[]
(,) || ()
I
Inequality Notation:

Answers

Answer:

Umm Where's The Answer?

pls help ASAPPPP11!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It's between 0 and 1

Step-by-step explanation:

1/64 = 0.015625

someone assist me please thank you

Answers

Answer:

I am pretty sure thats acute triangle but not 100%

Find the value of x.

No links please!

Answers

Answer:

Step-by-step explanation:

tan(26)=42/x hence x=42/tan(26)=86.113

What is the answer for x?

Answers

Answer:

x = -5/7

Step-by-step explanation:

C = 5/9 × (F – 32)


122°F = °C

Answers

Answer:

In Celsius the degree is 50°

Step-by-step explanation:

Put the 122° into the equation given.

3.6w=2(0.8w+12)
no link pls ill give you a brainlist

Answers

Hi there! I am GraceRosalia (SilentNature), and I hope my answer will help you!

3.6w=2(0.8w+12)

Use the Distributive Property:

3.6w=1.6w+24

Move all the constants to the left side:

3.6w-1.6w=24

2w=24

Divide both sides by 1.8 to isolate w:

w=12

Hope this helps you!! Please mark Brainliest!!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

W=12

Step-by-step explanation:

3.6w=2(0.8w+12)

3.6w=1.6w+24

Subtract 1.6w from both  sides

3.6w-1.6w=1.6w+24-1.6w

Simplify

2w=24

Divide both sides by 2

2w/2=24/2

Simplify

w=12

what is the equation of the line in slope intercept form that passes through the points (1,7) and (2,11)

Answers

Answer:

slope = y^2 - y^1 / x^2 - x^1 = 4

your slope would be 4

Step-by-step explanation:

To make green paint, students mixed yellow paint with blue paint. The table below shows how many yellow and blue drops from a dropper several students used to make the same shade of green paint. Complete the table.​

Answers

I know that the first box on the right would be 8 3/4 but I’m unsure about the rest

The length of a rectangle is three cm more than twice the width. Perimeter is 78 cm.

Answers

Answer:

width = 12cm and the length = 27cm

Step-by-step explanation:

Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest

Answers

42: 2,3,7
2 x 3 x 7 = 42

Answer:

42 = 2*3*7

Step-by-step explanation:

42 can be rewritten as 2*21, for example.  

2 is prime.  21 = 3*7.

Then 42 = 2 * 21 is also equal to:

         42 = 2*3*7. where these factors are ordered from least to greatest.  The prime factors of 42 are {2, 3, 7}.

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