A choir teacher is dividing 15 sopranos and 36 altos into the 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?​

Answers

Answer 1

Answer:

3 groups of 5 sopranos and 12 altos

Step-by-step explanation:


Related Questions

Suppose that you borrow $3000.00 from a friend and promise to pay back $4935.00 in 3 years. What simple interest rate will you pay? The simple interest rate is % (Round to the nearest tenth as needed.)​

Answers

Answer:

the simple interest rate is 18.00%

Step-by-step explanation:

The computation of the simple interest rate is shown below:

Amount = Principal × (1 + rate)^years

$4,935 = $3,000 × (1 + rate)^3

After solving it, the rate of percentage is 18.00%

Hence, the simple interest rate is 18.00%

Evaluate the cosine angle X please !

Answers

Answer:

in right angled triangle

h =√(24²+7²)=25

cos X = base/hypotenuse=24/25

help no unhelpful answers pls

Answers

Answer:

2. 24

3. 32.5

Step-by-step explanation:

base ∙ height

–––––––––– = answer

         2      

Just plug in your base number and height number and multiply, then divide by 2.

You are dealt a card from a standard 52 card deck , what is the probability of getting an ace

Answers

Answer:

0.1538

Step-by-step explanation:

Probability of being dealt with an ace of a 8 =

= Number of ace + number of an 8 in the deck / Total number of cards in the deck

= (4+4) / 52 = 8/52 = 0.1538

Therefore 0.1538 is the required probability here.

Answer:

[see below]

Step-by-step explanation:

There are four aces in a standard deck of cards.

[tex]\frac{aces}{cards}=\frac{4}{52}= 0.076923076923...[/tex]

0.076923076923... ≈ 0.077

0.077 = 7.7%

There is an approximate 7.7 percent chance that you will get an ace.

Hope this helps.

Give the angle classification of the triangle
with side lengths 3 cm, 5 cm, and 7 cm.

Answers

Given:

The sides of a triangle are 3 cm, 5 cm, 7 cm.

To find:

The angle classification of the given triangle.

Solution:

Let a,b,c are the three sides of a triangle ABC, where c is the longest side.

1. Triangle ABC is acute, if [tex]c^2<a^2+b^2[/tex].

2. Triangle ABC is acute, if [tex]c^2=a^2+b^2[/tex].

3. Triangle ABC is acute, if [tex]c^2>a^2+b^2[/tex].

The sum of square of two smaller sides is

[tex]3^2+5^2=9+25[/tex]

[tex]3^2+5^2=34[/tex]

In the given triangle 7 cm is the longest sides. So,

[tex]7^2=49[/tex]

It means,

[tex]7^2>3^2+5^2[/tex]

Since [tex]c^2>a^2+b^2[/tex], therefore, the triangle ABC is an acute triangle.

Help me with this pls

Answers

Answer:

x = 34

Step-by-step explanation:

4x + 10 + x = 180

5x + 10 = 180

      -10     -10

5x = 170

divide by 5

x = 34

_____________________

4(34) + 10

136 + 10

=146 and 34

How much would you need to deposit in an account now in order to have $3000 in the account in 15 years? Assume the account earns 3% interest compounded monthly.

Answers

Answer:

Principal = Total ÷ (1 + Rate)^years

That formula is found here: http://www.1728.org/compint2.htm

Principal = 3.000 / (1.03) ^ 15

Principal = 3.000 / 1.5579674166

Principal = $1,925.59

Step-by-step explanation:

Only have to do 8 and 9. 10 if you can tho please!!!!!!!

Answers

Answer:

8. a2=b2+c2 i think

9.A4 measures 210 × 297 millimeters or 8.27 × 11.69 inches I THINK

10. im not sure

Step-by-step explanation:

What is the slope of the line through (-10, 1) and (0, –4)?

Answers

Answer:

-0.5

Step-by-step explanation:

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

         = (-4 - 1)/(0-(-10))

         = (-5)/10

         = -0.5

Answer:

It’s -1/2

Step-by-step explanation:

Did this on Khan Academy, here ya go :]

Please help me with this

Answers

Answer:

SAS

Step-by-step explanation:

be carful, don't exactly know if sas is right

I am pretty sure that it is ASA. This is because they connect at an angle, then it shows a congruent side, then it shows a congruent right angle

I make $1,850 every two weeks after the government taxes me. Before taxes it’s $2,500. Tell me what percentage that is please.

Answers

Answer:

it would be dependent on wherre you live in the country give backround

What value of x makes the equation below true? 6x − 7 = 26
A.5
B.5.5
C.6
D.6.5

Answers

Answer:

B

Step-by-step explanation:

6x-7=26

6x=33

x=5.5

Answer:

B

Step-by-step explanation:

I need more letters ssssjsjsks

I really need your help please ​

Answers

Answer:

Step-by-step explanation:

add them

117
x
x + 3
Find the value of x.

Answers

Answer:

114 I believe........

..

Answer:

what?

Step-by-step explanation:

The difference of two number is 3.Their sum is 13.Find the numbers

Answers

Answer:

8,5

Step-by-step explanation:

x-y=3

x+y=13

2x=16

x=8, y=5

Answer: 8 and 5

Step-by-step explanation:

x - y = 3

x + y = 13

------------------ (add the two equations)

2x = 16

x = 8

8 + y = 13 (substitute x as 8 into one of the equations)

y = 5

Is landing on an odd number on a 6 sided dice impossible,unlikely,equally likely,likely, or certain?

Answers

I would say equally likely because a 6 dice roll for odd numbers are 1,3,5 and for the even numbers they are 2,4,6 so that is like a 50 50 chance that you can get a odd or even number. So EQUALLY LIKELY is the best answer!

8 cookies eaten in 2 minutes

Answers

Answer:

wow so what's the question then

Estimate 62% of 196.

Answers

Answer : 62% of 196 is 121.52

Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the number of problems that Brad completed. A)Write an equation that can used to find , b, the number of math problems that Brad completed.​

Answers

Answer:

2b + 3 = 15

b = 6

Step-by-step explanation:

a cuántos gramos equivale y 250 gramos​

Answers

Answer:

Me puedes dar más información?...Pliss

Answer: Para esto nesesitamos mas informasion asi no te la podemos responder cariño.

Step-by-step explanation:

7.4 as a mixed fraction

Answers

7.4 in fix fraction will look like this:

[tex]7 \frac{2}{5} [/tex]

HURRYY!!! look at the picture

Answers

Answer:

The first graph

Step-by-step explanation:

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Complete the sentence ​

Answers

Answer: b, d

Step-by-step explanation:

Corresponding angles are formed when two parallel  straight lines are cut by a transversal

[tex]\angle b=62^{\circ}[/tex]

In the figure, [tex]\angle d\ \text{and}\ 62^{\circ}[/tex] are alternate angle

[tex]\therefore \angle d=62^{\circ}[/tex]

HELP URGENT pleasssssseee

Answers

Answer:

your question is not clear so how can I help you

Answer:

iyut lang Yan

idol Yan Ang tamang sagot thank me later

Third-degree, with zeros of -2,-1, and 3, and passes through the point (2, 11).
Construct a polynomial function with the stated properties.

Answers

Answer:

[tex]P(x) = -\frac{11}{12}(x+2)(x+1)(x-3)[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of -2,-1, and 3

This means that:

[tex]P(x) = a(x - (-2))(x - (-1))(x - 3) = a(x+2)(x+1)(x-3)[/tex]

Passes through the point (2, 11).

This means that when [tex]x = 2, P(x) = 11[/tex]. We use this to find the leading coefficient.

[tex]P(x) = a(x+2)(x+1)(x-3)[/tex]

[tex]a(2+2)(2+1)(2-3) = 11[/tex]

[tex]-12a = 11[/tex]

[tex]a = -\frac{11}{12}[/tex]

So the polynomial is:

[tex]P(x) = -\frac{11}{12}(x+2)(x+1)(x-3)[/tex]

Evalúa ab-0.5bab−0.5ba, b, minus, 0, point, 5, b cuando a=1a=1a, equals, 1 y b=5b=5b, equals, 5.

Answers

Answer:

4.5

Step-by-step explanation:

Given the expression ab-0.5

We are to evaluate the expression if a =1 and b = 5

ab- 0.5

=  1(5) - 0.5

= 5 - 0.5

= 4.5

Hence the required result is 4.5

If 3n + 7 = 25, then find the value of the expression 8n - 3]

In ∆ DEF and ∆ XYZ, DE = XY, angle E = angle Y and EF = YZ. Name the
test of congruency by which both the triangles are congruent.

Answers

Answer:

n=6,

SAS,

63

Step-by-step explanation:

3n+7=25

3n=25-7

3n=18

n=18/3

n=6

_______________________________

ΔDEF is congruent to ΔXYZ

DE=XY(side)

<E=<Y (angle)

EF=YZ (side)

by SAS congruence criteria ΔDEF=ΔXYZ

_________________________

(Linear pair)

180°-117°

=63

Answer=63

9. Density measures
A. how much liquid is in an object.
C. how tightly packed an object's particles are.
B. the amount of space an object takes up.
D. the amount of matter contained in an
object.

Answers

Answer:

How tightly packed an object's particles are.

Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.

Answers

Answer:

b + 1.75f

Step-by-step explanation:

1.75 cups are used for every loaf of pumpkin bread.

Answer:

f(4/7)=b

Step-by-step explanation:

3+1/2=7/2

(7/2)x=2

x=4/7

the constant of the equation is 4/7

so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.

f(4/7)=b

Hope that helps :)

Statistics - Please Help!!!
The question is in the screenshot.

Answers

Answer: See the table below (attached image)

SSb = 2345SSt = 5639DFb = 5DFw = 54MSb = 469

=============================================================

Explanation:

I'll start at the right side of the table and work my way toward the left side.

I recommend you have a one way ANOVA formula sheet handy. Such a formula sheet should be located somewhere in the ANOVA chapter of your stats textbook, or toward the appendix section. There are various free online resources to search out as well.

On that formula sheet you should find that

(MSb)/(MSw) = F

where MSb and MSw are the mean squares between and within respectively.

We can find the value of MSb like so

(MSb)/(MSw) = F

MSb = F*MSw

MSb = 7.682*61

MSb = 468.602

This rounds to 469, so we'll go with MSb = 469. The reason I'm rounding is that I've done a similar problem in the past, and the computer system wanted me to round to the nearest whole number. Also, note how every value of the table given to us consists of whole numbers. Of course, your teacher may want you to keep the decimal value instead. So I would ask for clarification if possible.

Since we're going with MSb = 469, this means 469 goes in the last box of row 1.

-----------------------------------------------

Now go back to your reference sheet to locate this formula

MSw = (SSw)/(DFw)

Rearrange this formula to get

DFw = (SSw)/(MSw)

Now plug in the values we have from the table to find,

DFw = (SSw)/(MSw)

DFw = (3294)/(61)

DFw = 54  which goes in the box found in the second row.

-----------------------------------------------

Now recall that

DFb + DFw = df

where DFb is the degrees of freedom between and df is the total degrees of freedom, which in this case is 59.

Using the table and the value we found earlier, we can see that,

DFb = df - DFw

DFb = 59 - 54

DFb = 5   this goes in the second box of row one (ie above the 54).

-----------------------------------------------

Also on your formula sheet, you should see something like

MSb = (SSb)/(DFb)

where each lowercase 'b' stands for "between", and the other abbreviations are what were discussed earlier.

That formula rearranges into

SSb = (DFb)*(MSb)

Then we can use the values we calculated earlier to find

SSb = (DFb)*(MSb)

SSb = (5)*(469)

SSb = 2345  this goes in the first box of row one.

----------------------------------------------

Lastly, computing the total sum of squares (SSt) will simply involve us adding the two SSb and SSw values to get

SSt = SSb + SSw

SSt = 2345 + 3294

SSt = 5639 this goes in the box of row three.

----------------------------------------------

To summarize, we have these values to fill into the table

SSb = 2345SSt = 5639DFb = 5DFw = 54MSb = 469

where we have these abbreviations

SS = sum of squaresMS = mean squareDF = degrees of freedomb = betweenw = within

Check out the diagram below for the filled in values.

To summarize the formulas used, we basically have the template of

MS = (SS)/(DF)

for both between and within. And we also have the formula F = (MSb)/(MSw). So effectively, the values are found through various division formulas or rearrangements of such. I'm referring to working along any given row. For any given column, we add up the values to get the totals, though that of course does not apply to MS or F.

Admittedly, ANOVA tables and concepts can be confusing because there are a lot of variables and steps going on. But once you get used to it, it's not too bad if you can see how the patterns are emerging (the division and additions I was referring to earlier).

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