Find the missing side length, S. ​

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:

Z = 6

Step-by-step explanation:

Z/12 = Cos(60°)

Z/12 = 1/2

Answer:

No

explanation:

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

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:

i don't know sorry

Step-by-step explanation:

Answer:

the answer is B any questions

Answer:

there are 15 boys in kelvin's class

Step-by-step explanation:

Given:

In an isosceles triangle,

One base angle = (4x-15)°

Vertex angle = 95°

To find:

The value of x.

Solution:

Let the triangle be ABC.

We have,

[tex]m\angle A=95^\circ[/tex]

[tex]m\angle C=(4x-15)^\circ[/tex]

Since ABC is an isosceles triangle and AB=AC, therefore, the base angles are equal.

[tex]m\angle B=m\angle C=(4x-15)^\circ[/tex]

Using angle sum property of triangles, we get

[tex]m\angle A+m\angle B+\angle C=180^\circ[/tex]

[tex]95^\circ+(4x-15)^\circ+(4x-15)^\circ=180^\circ[/tex]

[tex](8x+65)^\circ=180^\circ[/tex]

[tex](8x+65)=180[/tex]

On further simplification, we get

[tex]8x=180-65[/tex]

[tex]8x=115[/tex]

[tex]x=\dfrac{115}{8}[/tex]

[tex]x=14.375[/tex]

Therefore, the value of x is 14.375.

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

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:

0.38095238095

Step-by-step explanation:

Answer:

8/21

Step-by-step explanation:

Answer:

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

this is correct trust

Answer:

i think it's 25.12.

Step-by-step explanation:

because you multiple 2x3.14×4

Answer:

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

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

Step-by-step explanation:

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:

Statement 1: it is a parallelogram

Reason 1: if one pair of sides of a quadrilateral are parallel and congruent sides, then it is a parallelogram.

Statement 2: AB is parallel to CD

Reason 2: in a parallelogram opposite sides are parallel.

QED

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:

32 − 8

Step-by-step explanation:

1. Rearrange terms

− 4 (2 − 8)

− 4 (− 8 + 2)

2. Distribute

− 4 (− 8 + 2)

32x - 8

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                        

Answer:

Step-by-step explanation:

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

Answer:

41,1 I installed the solution. good work

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:

Answer: 1/2^15

Step-by-step explanation:

Hope this helped

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.