gabriel and ted went to an arcade where the machines took tokens. gabriel played 6 games of slee ball and 9 games of pinball using a total of 33 tokens. at the same time, ted played 4 games of slee ball and 9 games of pinball using up 31 tokens. how many tokens does each game require?

Answer:

½

Step-by-step explanation:

first do ⅚-²/7

then take lcm of 6 and 7

then do multiply

Answer:

5/21

Step-by-step explanation:

Numerator 5 times the Numerator 2(which equals 10) over denominator 6 times denominator 7 (which equals 42) will give 10/42. Break it down by dividing both denominator and Numerator by 2 to get the final answer

[tex] \cos(x) ( \tan(x) - \sqrt{3} ) = 0[/tex]

[tex] \cos(x) ( \frac{ \sin(x) }{ \cos(x) } - \sqrt{3} ) = \\ [/tex]

Thus :

[tex] \cos(x) = 0 \: \: \: or \: \: \: \tan(x) - \sqrt{3} = 0[/tex]

Over interval [0 , 2pie ) :

[tex] \cos(x) = 0[/tex]

[tex]x = \frac{\pi}{2} , \frac{3\pi}{2} \\ [/tex]

[tex] \tan(x) - \sqrt{3} = 0[/tex]

[tex] \tan(x) = \sqrt{3} [/tex]

[tex]x = \frac{\pi}{3} ,\pi + \frac{\pi}{3} \\ [/tex]

[tex]x = \frac{\pi}{3} , \frac{4\pi}{3} \\ [/tex]

____________________________________________

Thus the solutions are :

[tex] \frac{\pi}{3} , \frac{\pi}{2} , \frac{4\pi}{3} , \frac{3\pi}{2} \\ [/tex]

As u can see the first option is the correct answer .

And we're done....

- 2/3 is the correct answer

Step-by-step explanation:

The rate of change of function K is -2/3. Therefore, option B is the correct answer.

The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.

Given that, linear function K passes through points (-3,7) and (3,3).

Now, the rate of change

= (3-7)/(3+3)

= -4/6

= -2/3

Therefore, option B is the correct answer.

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Answer:

12

Step-by-step explanation:

multiply 50 by 6 to get to 300

then 6 by 2 and you get 12

Answer:

B. 12

Step-by-step explanation:

The table shows the results after 50 spins; believing the results to be consistent, we would multiply the results by 6 to estimate the results after the spinner is spun 300 times.

I hope this helps.

Answer:

14.47 rounded to the nearest whole number is 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4 is less then 5 so you do not need to go up!

Answer: EF= 16 units

Step-by-step explanation:

I took the test and also EF has to be greater just by looking at the triangle.

Answer:

That is right

Step-by-step explanation:

An outlier is a number that does not fit in a data set and is does not belong because it is to high or to low. In this case it is to low.

Answer:

Area = 59.8 sq units

Step-by-step explanation:

There is a very convenient area formula for the area of a triangle given two sides and the included angle.

A = 1/2•a•b•sin C°

A = 1/2(11)(11)sin 99°

A = 59.8 sq units

Answer:

this polygon is a geometrical figure. Hope this helps you

Step-by-step explanation:

these are many reflective rays that satisfy this condition. The reflection Ray's for ended by the line between a better and it's opposite medpoint satisfy the reflection itself.

One of the reflected rays that meet this condition is shown in the figure above the line between vettex a and the metalpoint of the opposite Edge.

Answer:

Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,

                             b / sin B = a / sin A

Substituting,

                             b / sin 85.3° = 44 / sin 48°

The value of b from the equation is approximately equal to 59.01.

Answer:

35

Step-by-step explanation:

is correct for ape x

Answer:

Step-by-step explanation:

I take that x to be multiplication.

Combine 240 *3

(80 + 720) ÷ 20    

Combine inside the brackets

80 + 720 = 800

What's left is 800÷ 20

Answer 800 ÷ 20 = 40

Answer:

See below ~

Step-by-step explanation:

#1)

#2)

#3)

Answer:

I tried to draw it out for you

Answer:

15 - r

Step-by-step explanation:

[tex]8 - (r - 7) \\ 8 - r + 7 \\ 15 - r[/tex]

There are different ways to construct an angle. The steps used in constructing a line segment are;

First, you have to put the compass at a one specific end of line segment.

Then you shift the compass slowly a little bit so it will be longer in length to half the length of line segment.

Then you have to draw arcs up and down the line.

while using the same compass width, you then draw arcs from one specific end of line.

and thereafter you put your ruler in the point where the arcs cross, and you then draw the line segment.

The differences is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in construction of a line segment, there is differences in length.

What are the construction process of Angles?

This entails a good construction process in making angles. They are step-by-step processes that are used to produce a detailed and exact geometric figures.

Learn more about line segment from

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The steps to construct an angle and its bisector are described above.

The angle can be defined as the one line inclined over another line.

Here,
Step 1,
Draw a random size horizontal line,

Step 2,
Take the rounder, mark the rounder 1/3 of the line drawn, put on one of the ends, and draw a horizontal semi-circle,

Step 3,
One more time, keep the rounder 1 / 3 measure of the semi-circle and cut 2 consecutive arcs, one from the initial end of the semi-circle and the other from the previous arc cut on the semi-circle.

Step - 4
Now draw a line from the center of the semi-circle through the cut arc, an angle will be formed

Step - 5,
Now cut 2 arcs from the previously cut arc intersecting each other.

Step - 6
Now draw the line from the initial point of the horizontal line and the final intersecting arcs.

Thus, The steps to construct an angle and its bisector are described above.

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Answer:

zeros are at x = -1, x = 2 and x = -3

continues downward to the left and upward to the right

Step-by-step explanation:

Given function:

f(x) = (x + 1)(x - 2)(x + 3)

The zeros are when f(x) = 0

⇒ (x + 1)(x - 2)(x + 3) = 0

⇒ (x + 1) = 0 ⇒ x = -1

⇒ (x - 2) = 0 ⇒ x = 2

⇒ (x + 3) = 0 ⇒ x = -3

Therefore, the zeros are at x = -1, x = 2 and x = -3

If we expand the brackets of the function we get:

f(x) = (x + 1)(x - 2)(x + 3)

     = (x + 1)(x² + x - 6)

     = x³ + 2x² - 5x - 6

As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:

[tex]f(x) \rightarrow + \infty, \textsf{as } x \rightarrow + \infty[/tex]

[tex]f(x) \rightarrow - \infty, \textsf{as } x \rightarrow - \infty[/tex]

So the correct option is:

"continues downward to the left and upward to the right"

Answer:

8 17/30

Step-by-step explanation:

First, we will get the sum

4 2/3+ 5 2/5 =

10 1/15

Now we do the subtraction step

10 1/15 - 1 1/2=

8 17/30

Should be your answer^

Answer:

C

Step-by-step explanation:

[tex]65=\frac{(360-x)-(x)}{2}[/tex]

130=360-2x

2x=230

x=115

Answer:

The answer is 15/37.

Step-by-step explanation:

There are 15 girls who like starwberry icecream, and the total of girls is 37.

So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.

Answer:

Step-by-step explanation:

64 [tex]s^{12}[/tex] - 125 [tex]y^{30}[/tex] = [tex]2^{6}[/tex] [tex]s^{12}[/tex] - 5³ [tex]y^{30}[/tex] = ( 2² [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³ = ( 4 [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³

Answer:

80% chance of winning$100

Step-by-step explanation:

50/1000 , 10/1000

=> 0.05, 0.01

0.05 - 0.01

0.04 ÷ 0.05

0.8 × 100

=> 80%

Answer:

520

Please refer the attachment.

Stay safe, stay healthy and blessed.

Have a good day !

Thank you

To solve this problem where we need to find the radius:

   ⇒ find the relationship between height, volume, and radius

     ⇒ only equation that involves all these quantities is

       ⇒ Volume's equation = [tex]V = \pi r^2*h[/tex]

Let's set up our volume equation with known quantities

 [tex]V=\pi r^2*h\\3014.4=\pi r^2*15\\3014.4 = 3.14*r^2*15\\960=15r^2\\r^2=64\\r=8[/tex]

  *r cannot be negative thus r equals a positive 8

Thus the radius is 8.00 inches (rounded to the nearest hundredth)

Hope that helps!

Answer:

8.00 inches

Step-by-step explanation:

Given:

To find:

Cylinder’s Volume:

Substitute given information in:

[tex]\displaystyle \large{3,014.4 = 3.14 \cdot r^2 \cdot 15}\\\displaystyle \large{3,014.4=47.1r^2}[/tex]

Solve for r by dividing both sides by 47.1:

[tex]\displaystyle \large{\dfrac{3,014.4}{47.1} = \dfrac{47.1r^2}{47.1}}\\\displaystyle \large{64 = r^2}\\\displaystyle \large{r = 8,-8}[/tex]

However, radius is a scalar value so it cannot be negative - the radius is 8 inches

Since you want in nearest hundredth then the radius is 8.00 inches

Answer:

x = 5

Step-by-step explanation:

For x = 5, value of y should be [tex]-12\frac{1}{2}[/tex]

Hope it helps you in your learning process.

Answer:

10.526% or 0.10526

Step-by-step explanation:

The probability of choosing a blue marble would be 5/20, or 0.25 and then the probability of choosing a green marble next would be 8/19, or about 0.421.  Multiply these probabilities together to get your answer.  

Hope this helps:)

Answer:

(1,3)(1,4)

Step-by-step explanation:

One input cannot have two outputs so one x-value cannot have two y-values.

Answer:

$43.87.

Step-by-step explanation:

let the regular price be x, then

0.75x = 32.9

x = 32.9 / 0.75 = $43.87

Answer:

43.87

Step-by-step explanation:

Let the regular price be T

the anwer to your question is very ieasy it's b