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nataly862011 [7]
3 years ago
6

At a certain middle school, there are 26 students per teacher in every homeroom. Is the total number of students proportional to

the number of teachers
Mathematics
1 answer:
Verizon [17]3 years ago
6 0

Yes, because there is a corresponding amount of teachers per student.


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Solve this problem on paper using all four steps. A girl scout troop sold cookies. If the girls sold 5 more boxes the second wee
Varvara68 [4.7K]
This is a problem where you should make an equation.
Let's say x is the first week. It would mean
First Week : x
Second Week : x + 5
Third Week : 2(x+5)
You need to add these up to make your equation. Your equation will look something like this :
x+x+5+2(x+5) = 431
Now you simplify.
2x+5+2x+10 = 431
4x+15 = 431
4x = 416
x = 104
That means they sold 104 Boxes in the First Week.
104+5=109
So they sold 109 Boxes the Second Week.
109 x 2 = 218
And they sold 218 Boxes the Third Week.

I hope I was useful!
3 0
3 years ago
Read 2 more answers
Solve x^3-7x^2+7x+15​
ruslelena [56]

Step-by-step explanation:

\underline{\textsf{Given:}}

Given:

\mathsf{Polynomial\;is\;x^3+7x^2+7x-15}Polynomialisx

3

+7x

2

+7x−15

\underline{\textsf{To find:}}

To find:

\mathsf{Factors\;of\;x^3+7x^2+7x-15}Factorsofx

3

+7x

2

+7x−15

\underline{\textsf{Solution:}}

Solution:

\textsf{Factor theorem:}Factor theorem:

\boxed{\mathsf{(x-a)\;is\;a\;factor\;P(x)\;\iff\;P(a)=0}}

(x−a)isafactorP(x)⟺P(a)=0

\mathsf{Let\;P(x)=x^3+7x^2+7x-15}LetP(x)=x

3

+7x

2

+7x−15

\mathsf{Sum\;of\;the\;coefficients=1+7+7-15=0}Sumofthecoefficients=1+7+7−15=0

\therefore\mathsf{(x-1)\;is\;a\;factor\;of\;P(x)}∴(x−1)isafactorofP(x)

\mathsf{When\;x=-3}Whenx=−3

\mathsf{P(-3)=(-3)^3+7(-3)^2+7(-3)-15}P(−3)=(−3)

3

+7(−3)

2

+7(−3)−15

\mathsf{P(-3)=-27+63-21-15}P(−3)=−27+63−21−15

\mathsf{P(-3)=63-63}P(−3)=63−63

\mathsf{P(-3)=0}P(−3)=0

\therefore\mathsf{(x+3)\;is\;a\;factor}∴(x+3)isafactor

\mathsf{When\;x=-5}Whenx=−5

\mathsf{P(-5)=(-5)^3+7(-5)^2+7(-5)-15}P(−5)=(−5)

3

+7(−5)

2

+7(−5)−15

\mathsf{P(-5)=-125+175-35-15}P(−5)=−125+175−35−15

\mathsf{P(-5)=175-175}P(−5)=175−175

\mathsf{P(-5)=0}P(−5)=0

\therefore\mathsf{(x+5)\;is\;a\;factor}∴(x+5)isafactor

\underline{\textsf{Answer:}}

Answer:

\mathsf{x^3+7x^2+7x-15=(x-1)(x+3)(x+5)}x

3

+7x

2

+7x−15=(x−1)(x+3)(x+5)

\underline{\textsf{Find more:}}

Find more:

6 0
3 years ago
Help me please this is a test
BabaBlast [244]

Answer:

d = 8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Convert 5π∕6 radians to degrees. Question 1 options: A) 25° B) 150° C) 150π° D) 1080°
Fiesta28 [93]

Step-by-step explanation:

Hi there!

Given;

= 5(π\6)

We have;

π = 180°

Keeping value of π in the question;

= 5(180°/6)

= 5*30°

= 150°

Therefore, answer is option B.

<u>Hop</u><u>e</u><u> </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
Please me help me help me
Oksana_A [137]

Answer:

Its 60 degrees

Step-by-step explanation:

Opposite angles are equal so then CGE is the same as FGD and since angle CGB is a right angle we can subract the 30 from 90 and get a 60

6 0
3 years ago
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