There are a total of 64 students in a filmmaking club and a yearbook club. The filmmaking club has 14 more students than the yearbook club. a. Write a system of linear equations that represents this situation. Let x represent the number of students in the filmmaking club and y represent the number of students in the yearbook club.

Answer:

[tex]\huge\boxed{\sf 360 \ degrees}[/tex]

Step-by-step explanation:

A quadrilateral (having four sides) has a sum of interior angles equal to 360 degrees.

Since, A Parallelogram has 4 sides so it is also a quadrilateral which means that the sum of its interior angles equal 360 degrees.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

No

explanation:

You are subtracting one and some more, so its going to be less than 4

Answer:

y= -(2/5)x

Step-by-step explanation:

When you graph this line you can see it clearly passes through the point (5,-2)

Answer:

y + 2 = -2/5 (x - 5)

OR

y = (-2/5)x

Step-by-step explanation:

There are many ways you can find the equation.

There are two main ones, one called point-slope form, and the other called slope intercept form.

Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.

Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.

The equation would be y + 2 = -2/5 (x - 5).

Slope intercept form is a bit harder. You need a point and the y-intercept.

Since you already have the slope, all you need to find is the y-intercept.

Slope intercept form is y = mx + b

x and y are the given points. m is the slope, and b is the y-intercept.

The y intercept is when the x value of a point is 0.

To find b, you can plug in the information you have, which is the point and the slope.

y = mx + b

-2 = (-2/5)(5) +b

-2 = -2 +b

b = 0

Since b is 0, the equation would just be y = (-2/5)x.

Answer:

41°

Step-by-step explanation:

Using cosine rule : since the 3 sides are given

p = 6 ; q = 4 ; r = 5

q² = p² + r² - 2prCosQ

2prCosQ = p² + r² - q²

COS Q = (p² + r² - q²) / 2pr

Cos Q = (6² + 5² - 4²) / 2*6*5

Cos Q = 45 / 60

Cos Q = 0.75

Q = Cos^-1 (0.75)

Q = 41.409622

Q = 41° ( nearest degree)

Answer:

Step-by-step explanation:

b 41 degrees

Answer:  112 km

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

Work Shown:

(5 miles)/(8 km) = (70 miles)/(x km)

5/8 = 70/x

5*x = 8*70 ... cross multiply

5x = 560

x = 560/5 .... divide both sides by 5

x = 112

According to the given estimation, 70 miles converts to 112 km.

The more accurate conversion is approximately 70 miles = 112.65408 km, so this estimation isn't too far off.

Answer:

580 children

420 adult

Step-by-step explanation:

y=1000 -x

-5x+10000=7100

-5x=-2900

x=580

1000-580=420 y=420

Answer:

32 − 8

Step-by-step explanation:

1. Rearrange terms

− 4 (2 − 8)

− 4 (− 8 + 2)

2. Distribute

− 4 (− 8 + 2)

32x - 8

Answer:

$80.55

Step-by-step explanation:

Answer: $80.55

Step-by-step explanation:

First way:

3 yards cost $26.85

1 yard will cost $26.85 ÷ 3

26.85 ÷ 3 = 8.95

1 yard costs $8.95

9 yard will cost $8.95 × 9

8.95 × 9 = 80.55

9 yards cost $80.55

Second way:

3 yards cost $26.85

9 yards will cost $26.85 × 3

26.85 × 3 = 80.55

9 yards cost $80.55

Hope this helped!

Answer:

x = -1/2

Step-by-step explanation:

2x + 4y = 13

3x + y = 2    (you can multiply this equation by -4 in order to eliminate the y-term)

-4(3x + y = 2)  =  -12x - 4y = -8

                        +  2x + 4y = 13

-10x = 5

x = -5/10 or -1/2

x(-1/2) + 4y = 13

-1 + 4y = 13

4y = 14

y = 14/4 or 7/2 or 3 1/2

Answer:

x = 8

y = 29

Step-by-step explanation:

By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.

Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.

Hence one can say that;

4x + 17 = y + 20

Inverse operations;

4x + 17 = y + 20

     -17          -17

4x = y + 3

-3      -3

4x - 3 = y

Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.

When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words,  the same measure.

Based on that, one can say;

5x + 9 = y + 20

Earlier it was found that;

y = 4x - 3

Now substitute that into the previous equation, and solve using simplification and inverse operations;

5x + 9 = 4x - 3 + 20

5x + 9 = 4x + 17

     -9          -9

5x = 4x + 8

-4x   -4x

x = 8

Back solve to find y

y = 4x - 3

y = 4(8) - 3

y = 32 - 3

y = 29

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

Answer:

1) −5≠−4

False

2) 12≠15

False

Step-by-step explanation: I guess this is what you looking for, hope this help

Answer:

2 is true because I solved it

Answer:

0.38095238095

Step-by-step explanation:

Answer:

8/21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:The answer is X=-27 I am very sure

Step-by-step explanation:

Answer:

there are 15 boys in kelvin's class

Step-by-step explanation:

Answer:

41,1 I installed the solution. good work

Answer:

i don't know sorry

Step-by-step explanation:

Answer:

Z = 6

Step-by-step explanation:

Z/12 = Cos(60°)

Z/12 = 1/2

Answer:

4.4

Step-by-step explanation:

10% of 44 is 4.4

Answer:

4.4

Step-by-step explanation:

Answer:

the answer is B any questions

Answer:

Step-by-step explanation:

Item 1:

Discount = Original price - discount price

             = 22.50 - 13.50

             = $ 9

Discount percentage = [tex]\frac{9}{22.50}*100\\\\[/tex]

                                   = 40%

Discount percentage = 40%

Tax = 14.31 - 13.50 = $0.81

Tax% = [tex]\frac{0.81}{13.50}*100\\\\[/tex]  = 6%

Tax percentage = 6%

Item 2:

Tax = 6% of 16.20

      = 0.06 * 16.20

      = 0.972

Tax = $ 0.97

Total price (including tax )= 16.20 + 0.97 = $ 17.17

         x = $ 17.17

Item 3:

Discount  = 40% of 32.50

                        = 0.4 * 32.50

                        = $ 13

y =  32.50 -13

y = $ 19. 50

Tax = 6% of 19.50

       = 0.06 * 19.50

       = 1.17

z = 1.17 + 19.50

Z  =$ 20.67

Answer:

I thinks it's point 2 and if it's wrong I am sorry for that

Answer:

(2,12) or x = 2 y = 12

this is correct trust

Answer:

Step-by-step explanation:

For number 2 first thing you do is take (3,3)

                                                                ( -3,7)

And y1-y2

        x1-x2

the equation would be y= -2/3 x + 5

I can't really see the other point for number 3