A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?

Answer: y=-1 and x=2

Step-by-step explanation:

-9x+8y=-26

-9x-6y=-12

Subtract

14y = -14

Divide by 14

Y=-1

Substitute y=-1 into the equation

-9x-6(-1)=-12

-9x+6=-12

Subtract 6

-9x=-18

Divide by -9

X=2

The given terms in the question can be added by collecting like terms. So that the addition is:

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

The addition of terms involve adding like terms so as to simplify the final expression.

Thus considering the terms in the given question, the addition would give:

(8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex]) + (4

open the brackets and collect like terms to have;

8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex] + 4

8[tex]x^{2}[/tex] + 4

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

Therefore on adding the given terms, the expression derived as answer is:

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

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Step-by-step explanation:

every new term is created by adding a constant (I call here x) to the previous term.

a1 = b

a2 = c = a1 + x = b + x

a3 = a2 + x = a1 + 2x = b + 2x

so, we see

an = a1 + (n-1)x = b + (n-1)x

from a1 and a2 we know

c = b + x

x = c - b

so, ultimately we have

an = b + (n-1)(c-b)

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term of an arithmetic sequence is b and the second term is c.

a₁ = b

a₂ = c

Then the common difference is given as,

d = a₂ - a₁

d = c - b

Then the explicit formula to find the nth term of the sequence will be given as,

aₙ = b + (n - 1) × (c - b)

aₙ = b + cn - c - nb + b

aₙ = cn - nb + 2b - c

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

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Answer:

Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds

Step-by-step explanation:

A = K + 6

T = K - 3

K + A + T = 2 min 39 sec or 159 sec

K + (K + 6) + (K - 3) = 159sec

3K + 3 = 159sec

3K = 156sec

K = 52 sec

A = 52 + 6 = 58 sec

T = 52 - 3 = 49 sec

Answer:

77° is the answer

Step-by-step explanation:

hope it helps;)

The measure of angle [T] will be ∠T = 139°.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Given is a triangle TSU.

The sum of the angles of a triangle is 180 degrees. So, we can write -

(21x + 13) + 4x + (3x - 1) = 180

21x + 4x + 3x + 13 - 1 = 180

28x + 12 = 180

28x = 168

x = 168/28

x = 6

So -

∠T = 21x + 13 = 21 x 6 + 13 = 126 + 13 = 139

∠T = 139°

Therefore, the measure of angle [T] will be ∠T = 139°.

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Answer:

I would say the one that has the blue dot. bc, the absolute value of -6 is 6.

Answer:

The second one -6[------------]0 with 6 on top.

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

9/12

Divide the top and bottom by 3

9/3 = 3

12/3 = 4

The fraction becomes 3/4

Answer:

-5;-7

Step-by-step explanation:

Start with the product. 35 is either 35x1, 7x5, or the product of their opposites. 35 and 1 doesn't work for the sum, neither does 7 and 5. Let's go negative. -35 and -1 gives -36, so it has to be -7 and -5, which is indeed, correct.

Answer:

315 = 3^2 × 5^1 × 7^1

Step-by-step explanation:

Answer: it’s 320cm^2

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\textsf{Given expression;}\\[/tex]

[tex] \rm{23 = \frac{7}{9}(6x - 36) + 9 } \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256)}{9} + 9 \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256 + 81)}{9} \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 175)}{9} \\ [/tex]

[tex] \rm{\longmapsto} \: \frac{23}{1} = \frac{(42x - 175)}{9} \\ [/tex]

[tex]\textsf{By doing cross multiplication, we get}\\[/tex]

[tex] \rm{\longmapsto}23(9) = 1(42x - 175) \\ [/tex]

[tex] \rm{\longmapsto}207 =42x - 175\\ [/tex]

[tex]\rm{\longmapsto} \: 42x = - 175 - 207 \\ [/tex]

[tex]\rm{\longmapsto} \: 42x = - 379 \\ [/tex]

[tex]\rm \therefore \: x = - \frac{375}{42} \\ [/tex]

[tex]\textsf{Hence, the value of x will be -375/42 respectively.}\\[/tex]

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[tex]\textsf{Similar Questions}[/tex]

Solve the expression and find the value of x. [tex] \frac{x⁠…

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Answer:

ⅠⅠⅩ

Step-by-step explanation:

ok

Answer:

Step-by-step explanation:

Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.

Answer:

4455

Step-by-step explanation:

135 pages x 33 lines a page = 4455 lines.

Answer:

4

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

x          

 (— -  6) -  2  = 0

  4          

6     6 • 4

   6 =  —  =  —————

        1       4

x - (6 • 4)     x - 24

———————————  =  ——————

     4            4

 (x - 24)    

 ———————— -  2  = 0

    4        

        2     2 • 4

   2 =  —  =  —————

        1       4

(x-24) - (2 • 4)     x - 32

————————————————  =  ——————

       4               4

 x - 32

 ——————  = 0

   4  

x-32

 ———— • 4 = 0 • 4

  4  

x-32

Answer:

The 4th graph

Step-by-step explanation:

To have a maximum value, your parabola would have to open downwards. So the first 2 are wrong. Since your y-intercept is positive 4, your graph would have to touch the y axis at 4. The 3rd graph is wrong since it touches the y-axis at a negative point. The correct answer would be the 4th answer choice.

Answer:

Step-by-step explanation:

Add up the equations, it will eliminate x as variable:

Find the value of x:

Given : -

To find : -

Solution : -

3x + 6y = 18

-3x + 4y = 2 +

10y = 20

[tex] \: [/tex]

3x + 6y = 18

3x + 6(2) = 18

3x + 12 = 18

3x = 18 - 12

3x = 6

[tex] \: [/tex]

Answer:

What else is in the equation?

Step-by-step explanation:

Also, i think the - should be right here>-13 instead of it being here 13-<

Answer:

Multiply both sides by 6:  4x - 42 = 5

Step-by-step explanation:

(2/3)x - 7 = (5/6)

Multiply both sides by 6:  

6*(2/3)x - 6*7 = 6*(5/6)

(12/3)x - 42 = 5

4x - 42 = 5

Answer:

parallel lines are two lines drawn next to each other without a intersection

Answer:

The perimeter of the Parallelogram is 20z + 16

Step-by-step explanation:

For a Parallelogram

Perimeter = sum of all sides

P = (7z + 3) + (7z + 3) + (3z + 5) + (3z + 5)

P = 7z + 7z + 3z + 3z + 3 + 3 + 5 + 5

P = 20z + 16

Thus, The perimeter of the Parallelogram is 20z + 16

-TheUnknownScientist 72

Answer: -8

Step-by-step explanation:

-8+22=14

Has to be less than 14 so the value has to be less than -8

Answer:

2x =3

The hanger image given in the figure represents balanced equation.

Then we have to write an equation to represent the image.

In balanced form left side = right side

x + x = 1 + 1 + 1

2x = 3

The value v is 9.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that is a structure showing a balanced hanger we need to find the value,

So we can say since the hanger is balanced therefore the weight both sides will be equal,

Therefore,

v + v + v = 27

3v = 27

v = 27

Hence the value v is 9.

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Answer:

AB = 11

Step-by-step explanation:

AB = x

BC = x - 4

AC = 6 + BC    Substitute BC

AC = 6 + (x - 4)

AC = 2 + x

The perimeter of the triangle  is 31

Perimeter =  AB + BC + AC  perimeter is the sum of the sides

 31 = (x )+ (x - 4 ) + (2 + x)

  31 = 3x - 2

   33 = 3x

   11 = x

AB = x = 11 inches

Check:  

AB = x  ;    AB = 11

BC = x - 4;  BC = 11 - 4; BC = 7

AC = 2 + x;  AC = 2 + 11; AC = 13      

  P = 11 + 7 + 13

      = 31

It would take [tex]1 second[/tex] for Carol to catch the sweet after Dave threw it.

Let

[tex]h=\text{maximum height}\\y=\text{distance from maximum height to Carol}\\t_h=\text{time taken to reach maximum height}\\t_y=\text{time taken to fall from maximum height to Carol}[/tex]

we want to calculate the value [tex]t_h+t_y[/tex]

First, we have to calculate [tex]t_h[/tex] using the formula

[tex]v=u+at[/tex]

using [tex]v=0[/tex], [tex]u=8[/tex], [tex]a=-10[/tex] (the sweets are decelerating due to gravity!)

[tex]0=8-(10)t_h\\10t_h=8\\t_h=\frac{8}{10}=0.8seconds[/tex]

To calculate [tex]t_y[/tex], first calculate [tex]h[/tex], then [tex]y[/tex]. Using the formula

[tex]h=ut+\frac{1}{2}at^2[/tex]

and the values [tex]u=8[/tex], [tex]t=t_h=0.8[/tex], [tex]a=-10[/tex] (again, the sweets are decelerating to get to maximum height)

[tex]h=(8)(0.8)+\frac{1}{2}(-10)(0.8)^2\\\\=6.4-3.2\\=3.2m[/tex]

since, Carol is standing [tex]3m[/tex] above Dave, we have the relationship

[tex]h=y+3[/tex]

so that

[tex]y=h-3\\=3.2-3\\=0.2m[/tex]

we can now calculate [tex]t_y[/tex];

[tex]y=ut_y+\frac{1}{2}gt_y^2[/tex]

taking [tex]y=0.2[/tex], [tex]u=0[/tex], [tex]g=10[/tex] (the sweets are falling, so they are now accelerating)

[tex]0.2=(0)t_y+\frac{1}{2}(10)t_y^2\\\\0.2=5t_y^2\\t_y^2=0.04\\\implies t_y=0.2seconds[/tex]

So it would take

[tex]t_h+t_y=0.8+0.2=1.0seconds[/tex]

for Carol to catch the sweet after Dave threw it from the first floor.

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