27 students are learning to make balloons animals. There are 3,172 balloons to be shared equally among the students. How many balloons are left over after sharing them equally? Show all necessary work.

Answer:

a............ you are welcome

Answer:

it should be c sorry if I get it wrong

Given:

[tex]\tan A=\dfrac{1}{5}[/tex]

[tex]\tan B=\dfrac{1}{4}[/tex]

To find:

The value of [tex]\tan^2(A-B)[/tex].

Solution:

We know that,

[tex]\tan (A-B)=\dfrac{\tan A-\tan B}{1+\tan A\tan B}[/tex]

Putting the given values, we get

[tex]\tan (A-B)=\dfrac{\dfrac{1}{5}-\dfrac{1}{4}}{1+\dfrac{1}{5}\cdot \dfrac{1}{4}}[/tex]

[tex]\tan (A-B)=\dfrac{\dfrac{4-5}{20}}{1+\dfrac{1}{20}}[/tex]

[tex]\tan (A-B)=\dfrac{\dfrac{-1}{20}}{\dfrac{20+1}{20}}[/tex]

[tex]\tan (A-B)=\dfrac{-1}{21}[/tex]

Taking square on both sides, we get

[tex]\tan^2 (A-B)=\left( \dfrac{-1}{21}\right)^2[/tex]

[tex]\tan^2 (A-B)=\dfrac{1}{441}[/tex]

Therefore, the value of [tex]\tan^2(A-B)[/tex] is [tex]\dfrac{1}{441}[/tex].

Step-by-step explanation:

(-8-9)+23

-17+23

6.........

The value of algebraic expression [(-8) + ( -9)] + 23 is 6.

Here,

We have to simplify;  the sum of -8 and -9, increased by 23.

And, find an algebraic expression.

What is Algebraic expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Now,

The written expression is, the sum of -8 and -9, increased by 23.

It can be written as,

⇒ [(-8) + ( -9)] + 23

⇒ - 8 - 9 + 23

⇒ - 17 + 23

⇒ 6

Hence, The value of algebraic expression [(-8) + ( -9)] + 23 is 6.

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Answer:

a= 98 b= 82 c= 98 is the answer .....

Answer:

i really dunonjust need tho points sorry but have a blessed Dayyy

Step-by-step explanation:

OMG ITS A FUNNY NUMBER

HAHAHAHHA

cringe, cringe, cringe, cringe, cringe

Answer:

5.7-18y=1

Step-by-step explanation:

52-9y=3

5.2-9y=-2

or,57.2-18y=1

Answer:

-18y = 46.8

Step-by-step explanation:

Adding Left hand side elements together as well as right hand side

Eq1 = equation 1

Eq2 = equation 2

LHS(left hand side of the equation)

RHS(right hand side of the equation)

LHS of Eq1 + LHS of Eq2 = RHS of Eq1 + RHS of Eq2

-52 -9y + 5.2 -9y = 3 - 2

=> -9y -9y - 52 + 5.2 = 1

=> -18y - 46.8 = 1

=> -18y - 46.8 = 0

=> -18y = 46.8

Answer:

C. [tex]x < -3[/tex] or [tex]x > 1[/tex].

Step-by-step explanation:

Let [tex]f(x) = x^{3}+3\cdot x^{2}-9\cdot x +7[/tex], the first derivate of the function is:

[tex]f'(x) = 3\cdot x^{2}+6\cdot x -9[/tex] (1)

By the Quadratic Formula, we determine the roots of this polynomial:

[tex]x_{1} = 1[/tex], [tex]x_{2} = -3[/tex]

And the factorized form of the polynomial is:

[tex](x-1)\cdot (x+3) > 0[/tex]

By law of Signs, the polynomial is increasing when [tex]x-1 > 0[/tex] and [tex]x +3 > 0[/tex] or [tex]x-1 < 0[/tex] and [tex]x+3 < 0[/tex], which means that:

[tex]x < -3[/tex] or [tex]x > 1[/tex]

Therefore, the right answer is C.

Answer:

The correct option is an option (c).

Given:

The given function is,

[tex]f(x)=x^{3}+3x^{2}-9x+7[/tex]

Computation:

The function is increasing when [tex]f'(x)>0[/tex].

Now, differentiating the given function with respect to [tex]x[/tex] up to first order we get,

[tex]f'(x)=3x^{2}+3(2x)-9(1)+0\\f'(x)=3x^{2}+6x-9\\=3(x^{2}+2x-3)\\=3(x(x+3)-1(x+3))\\=3(x+3)(x-1)[/tex]

So, the sign function is,

 Therefore, [tex]f'(x)>0[/tex] when [tex]x\in (-\infty ,-3)\cup (1,\infty )[/tex]

So, [tex]f(x)[/tex] is increasing on [tex]x<-3[/tex] or [tex]x>1[/tex]

Hence, the correct option is an option (c).

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Step-by-step explanation:

not sure about this one sorry cant help ya but i do have a hint its B

Answer:yes

Step-by-step explanation:

Answer:

y = -3

Step-by-step explanation:

5y + 10/5 = -13 (distribute 5)

5y + 2 = -13 (simplify fraction)

5y = -15 (subtract 2 from both sides)

y = = -3 (divide 5 from both sides)

Checked worked:

5 ([-3] +2/5)

-15 + 10/5

-15 + 2 = -13

y = -3

Answer:

30 miles

Step-by-step explanation:

60 ÷ 20 = 3

10 × 3 = 30

Answer:

4 %

Step-by-step explanation:

100/24=25/6=4 1/6

Answer:

$115

Step-by-step explanation:

805 divide it by 7 you get 115 also got right guys trusted me ( >-< )

Answer:

yep! 115$ is correct! :)

Answer:

25

Step-by-step explanation:

Answer:

5.06%

or

5.06329114%

Step-by-step explanation:

The increase if $4.

4/79 = 0.0506329114, which is 5.06%

Answer:

1/16 or 0.0625

Step-by-step explanation:

Im not sure but this may be the answer

The given fraction in simplest form is 1/16.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The given fraction is 2⁻⁴/4⁰.

Now, 2⁻⁴/4⁰ =2⁻⁴/4⁰

= 2⁻⁴/1

= 1/2⁴

= 1/16

Therefore, the given fraction in simplest form is 1/16.

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Answer: 2

Step-by-step explanation:

8x4=32, you have to distribute the 8 into the parentheses so you will have 8x2+8x2 which is 16+16=32

Answer:

The answer is y = 4x - 8.

Step-by-step explanation:

☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Slope-intercept: [tex]y = mx + b[/tex]

---

☆We need to find the slope first. So just plug in according to the slope formula!

[tex]m = \frac{0 - 8}{2 - 4} = \frac{ - 8}{ - 2} = 4[/tex]

---

☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

[tex]y = mx + b \\ 8 = 4(4) + b \\ 8 = 16 + b \\ \frac{ - 16 = - 16 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 8 = b \: \: \: \: \: \: \: \: \: \: \: \: \: \: } [/tex]

---

☆Now all we need to do is plug in and we are done!

[tex]y = 4x - 8[/tex]

▪Happy To Help <3

Answer:

Step-by-step explanation:

v=<3,-1>

[tex]||v||=\sqrt{x^{2} +y^{2} } \\\sqrt{(3)^{2}+(-1)^{2} } \\\sqrt{9+1} =\sqrt{10} \\u=\frac{1}{||v||} *v\\u=\frac{1}{\sqrt{10} } *<3,-1>\\u=<\frac{3}{\sqrt{10} } ,-\frac{1}{\sqrt{10} } >\\[/tex]

Answer:

Infinite solutions

Step-by-step explanation:

So if simplified it would be

-3x+15=15-3x

Which is basically the same thing if arranged

15-3x=15-3x

-3x+15 can also be 15-3x still the same thing as adding 15 to -3x

So since these are equal anything could be used

like try 0

Both get 15

Try 1

Both get 12

Try legit any number

youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)

Answer:

Because

Step-by-step explanation:

(+) × (-) = (-)

(-) × (+) = (-)

Step-by-step explanation:

Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

Answer:Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

Step-by-step explanation:

Given that,

The area of the rectangle, [tex]A=x^2-114[/tex]

Length of the rectangle, [tex]l=x+12\ m[/tex]

To find,

The width of the rectangle.

Solution,

The formula for the area of a rectangle is given by :

A = lb

b is width of the rectangle

[tex]b=\dfrac{A}{l}\\\\b=\dfrac{x^2-114}{x+12}\\\\b=\dfrac{x^2-12^2}{x+12}\\\\b=\dfrac{(x-12)(x+12)}{(x+12)}\\\\=(x-12)\ m[/tex]

So, the width of the rectangle is (x-12) m.