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Task #4 Gamers and Game World


Gamers: Two dollars for every game downloaded.
Game World: $15 per month and $0.50 per game downloaded.

a) How much money would it cost if you downloaded 6 games from Gamers? Show your work, using the equation c=2d, where c is the cost and d is the number of downloads.

b) Write an equation for the cost per month at Game World, using c for cost and d for downloads.

c) Which equation is represented in the graph below, Gamers or Game World? Justify your answer using mathematical reasoning.



d) If you plan on downloading 8 games per month, which would be the best plan to buy? Justify your answer using mathematical reasoning.

e) Justin has a membership to Gamers and he says his plan is better than Game World’s. Kenny, who has a membership to Game World, disagrees. Who is correct? Justify your answer using mathematical reasoning.

f) How many games would Justin and Kenny have to download to make the same monthly payment? How do you know?

Answer:

7x + 2y = 1

Step-by-step explanation:

First we find the slope m of the line

The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as

m = (y2 - y1)/(x2 - x1)

Considering the points (–3, 11) and K(1, –3), the slope of the line m

= (-3-11)/(1 --3)

= -14/4

= 7/2

the line JK may be given as

y - 11 = -7/2(x - -3)

multiply through the equation by 2

2y - 22 = -7(x + 3)

2y - 22 = -7x - 21

7x + 2y = 22 - 21

7x + 2y = 1

Answer:

B

Step-by-step explanation:

7x + 2y = 1

Answer:

x = 6.7

Step-by-step explanation:

legs of a right triangle are 6,3 and hypotenuse be x

using pythagors theorem to find hypotenuse

a^2 + b^2 = c^2

6^2 + 3^3 = x^2

36 + 9 = x^2

45 = x^2

[tex]\sqrt{45} = x[/tex]

[tex]\sqrt{3*3*5} = x[/tex]

[tex]3\sqrt{5} = x[/tex]

6.70 =x

6.7 =x

Answer:

[tex]\text{B. }\triangle DKM[/tex]

Step-by-step explanation:

When naming a triangle or any polygon, the name should consists of either the center of the polygon or each of the vertices (points) of the triangle. In this case, no center is labelled, so we will use the vertices to name the triangle.

The vertices or points of the triangle are D, K, and M. Therefore, we name this triangle by writing a triangle symbol [tex]\triangle[/tex] followed by these vertices.

Unless you're comparing it to another polygon (e.g. writing a similarity statement), the order of which you list the vertices does not matter, but you should start with a point and move either clockwise or counterclockwise until you list every point. Therefore, the answer is [tex]\boxed{\text{B. }\triangle DKM}[/tex].

Answer:

D

Step-by-step explanation:

Answer:[tex]\$ 14,212[/tex]

Step-by-step explanation:

Given

Peng bought 19 stationary bikes for $748  each

The cost of 19 bikes is the multiplication of the cost of each bike times the total bikes

[tex]\Rightarrow \text{Cost= }19\times 748\\\\\Rightarrow \text{Cost= }\$ 14,212[/tex]

Thus, she spends [tex]\$ 14,212[/tex] on 19 bikes.

Answer:

(x - 7)² + (y - 2)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (7, 2 ) and r = 2 , then

(x - 7)² + (y - 2)² = 2² , that is

(x - 7)² + (y - 2)² = 4 ← equation of circle

Answer:

592 divided by 16=37

Answer:

592 divided by 16 is 37

3 boxes on top:

5 tens + 92 = 592

Step-by-step explanation:

:)

Answer:

5

Step-by-step explanation:

15-5(p-6)

15-5(8-6)

15-5(2)

15-10

5

Answer:

160

Step-by-step explanation:

If the scale factor is 4, we would have to multiply the height and width by 4

4*5=20

4*4=16

Now to find the area of the triangle using the formula (20*16)/2

That equals to 160

Answer:

Y=75x+125

Step-by-step explanation:

Your answer is correct. It is c. The equation is y=Mx+b where m is the slope and b is the y intercrept.

To get M (the slope), get the difference of y-y/x-x. You can use any value of y and x. So, 575-500/6-5=75/1 ot 75. Therefore 75 is m in the equation y=Mx+b.

To get b, you figure out what y is when x is 0. So, looking at the numbers, subtract 75 from 350, which means that  y is 275 when x is 2. Subtract 75 again to get 200 (275-75) when x is 1. Subtract 75 one more time to get y when x is 0. 200-75=125. 125 is the y intercept.

Going back to the equation y-Mx+b. Fill in m and b. Y=75x+125.

Answer:

Step-by-step explanation:

The degrees around a point = 360, so

1. x + 95 + 3y + 80 = 360 so

2. x + 3y = 185

3. 65 + 3y = 185 and

3y = 120 so

y = 40

Answer:

y=40

Step-by-step explanation:

sum of all 3 angles : 240

3y+240=360

3y=360-240=120

y=3÷120

y=40

Answer:

speed

Step-by-step explanation:

Answer:

149.59062 cm^2

Step-by-step explanation:

area of circle=πr^2

=3.142*(6.9)^2

=3.142*47.61

=149.59062 cm^2

Step-by-step explanation:

a union b is 0 1 3 5 6 7 and 9 thank you very much please mark the answer as brainliest

Answer:

here the answer is

If u want nore help please follow

Step-by-step explanation:

STEP 1: Draw a straight line with a ruler. STEP 2: Put the pin of a compass at the end of the line you want to bisect. Set the compass to more than half the length of the line, and draw an arc crossing the line. STEP 3: Keep the width of the compass the same, and from the opposite end of the line draw another arc.

Answer:

First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.

Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.

Two of the arcs will intersect at a point.

Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.

Lastly, draw a line connecting the intersection of the top and below arcs.

I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.

Thank You

Hope u understood

We are given the equation below:

[tex] \large{ {p}^{2} = \frac{9}{36} }[/tex]

Use the property below:

[tex] \large \boxed{ {x}^{2} = \frac{a}{b} \longrightarrow x = \pm \frac{ \sqrt{a} }{ \sqrt{b} } \: \: (a \geqslant 0 \: \: and \: \: b > 0)}[/tex]

From the equation:

[tex] \large{p = \pm \frac{ \sqrt{9} }{ \sqrt{36} } } \\ \large{p = \pm \frac{3}{6} \longrightarrow p = \pm \frac{1}{2} }[/tex]

Hence the answer is p = ± 1/2.

Answer

Both answers work. The second answer is in the plus-minus form.

Hope this helps! Let me know if you have any doubts.

Answer:  directly north

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

Explanation:

A one quarter turn is 1/4 of 360 degrees, so it's (1/4)*360 = 90 degrees.

Three quarters of a full turn is (3/4)*360 = 270, or you could triple the 90 to get 90*3 = 270.

Rick starts facing directly east. Then he rotates 270 degrees clockwise to end up facing directly north. Refer to the diagram below.

Answer:

area=54

perimeter=30

Step-by-step explanation:

add all the sides=p

multiply 6 and 3 then 6 and 6 and add them together=a

Answer:

perimeter = a+b+c+d+e+f+g

= 6 +3+2+6+6+2+3= 28

area=first of all find the area one by one

area of the lying rectangle is.

a=l×b

but first let's add 3+3 =6

b=6

a=6×6

a=36

area of the standing rectangle

a=l×b

let's add 6+6=12 &2+2=4

a=l×b

a=12×4=48

then let's add both area together

36+48=84

therefore perimeter is 28 and area is 84

Step-by-step explanation:

why is double 6 is because the length are the same.

Answer:

0.1,0.5,0.8,0.9

Step-by-step explanation:

Solution:

Required margin of error  = 0.05

Estimated population proportion p = 0.8

Significance level = 0.10

The [tex]\text{provided estimate population proportion}[/tex] p is 0.8

The significance level, α = 0.1 is [tex]z_c=1.645[/tex], which is obtained by looking into a standard normal probability table.

The number of patients surveyed to estimate the population proportion p within the required margin of error :

[tex]$n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$[/tex]

  [tex]$=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$[/tex]

  = 173.15

Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and  it must be an integer number.

Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.

Answer:

36km/h

speed =distance/time

= 90/2.5

=36km/h

Answer: The age of Mr. Lang's youngest son is 7 years old.

Step-by-step explanation:

Let's start by listing the factors of 84. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

We can only use numbers that are under 19 since we must add up to that total. Now we are left with 1, 2, 3, 4, 6, 7, 12, and 14,

1 can't be an option since 18 is not there to pair with it to add together for 19. For the same reason we can eliminate 2, 3, 4, 6, and 14.

Now we are left with 7 and 12. Let's see is they will work.

7+12=19

7×12=84

It works! Since 7 is the smaller number that's the age of Mr. Lang's youngest son.

Answer:

7 !

Step-by-step explanation:Let's start by listing the factors of 84. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

We can only use numbers that are under 19 since we must add up to that total. Now we are left with 1, 2, 3, 4, 6, 7, 12, and 14,

1 can't be an option since 18 is not there to pair with it to add together for 19. For the same reason we can eliminate 2, 3, 4, 6, and 14.

Now we are left with 7 and 12. Let's see is they will work.

7+12=19

7×12=84

It works! Since 7 is the smaller number that's the age of Mr. Lang's youngest son.

Answer: $15.21

Step-by-step explanation:

Given

Joe's lunch cost $13.00 without tax

He tipped the waiter with 17% of bill without tax

So, the amount of tip is

[tex]\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21[/tex]

Total amount that food costs without tax is

[tex]\Rightarrow 13+2.21\\\Rightarrow \$15.21[/tex]