Use the information below to answer all parts of the question.
Kylle is going to play laser tag with some friends. To rent the laser tag gear, the initial fee is $3, and each game costs $2 to play.
PART A
Fill in the table for the amount of money (cost) to play laser tag.
Number
of Games
Cost

Answer: x=18 ==> C

Step-by-step explanation:

19+15+11=14+15+?

19+11=14+?

30=14+?

?=16

?+11+x=19+15+11

x+?=19+15

x+16=34

x=18 ==> C

Answer:

Step-by-step explanation:

go pathways gives all the answers

Answer: Irrational Number

Step-by-step explanation: It's Irrational because it cant be represented as a simple fraction.

Answer:

8 pizzas

Step-by-step explanation:

The trip cost per person is 6 pounds.

Unit rate is the ratio of two different units, with the denominator as 1.

It means a rate for one of something.

We have,

Total members = 40

Each minibus cost = 30 pounds

Leisure centre cost = 150 pounds

Each minibus can carry = 15 people

The number of minibusses needed to carry 40 members:

= 40 / 15

= 2.67

= 3 minibusses.

This means we need  3 minibusses to carry 40 members.

Now,

The total cost for the trip:

= 150 pounds + 3 x 30 pounds

= 150 + 90

= 240 pounds

The cost per person:

= 240 / 40

= 6 pounds

Thus the trip cost per person is 6 pounds.

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The first company shipping charge is 5 $

the second company shipping charge is 2 $

let the size of the box be 'x'

Given the first company charged as below

20$ for medium-sized and an extra 1$ for one pound

=  20x + 1

The second company charged as below

$5 for the same size of the box, plus an additional $4 per pound

= 5x + 4

The price of the two shipping options will be same.

20x + 1 = 5x + 4

20x - 5x = 4- 1

15x = 3

x= 3 / 15

x = 1/5

x = 0.2

∴ 20x+1 = 20 * 0.2 +1 = 5

   5x + 4 = 5 * 0.2 + 1 = 2

Therefore, The first company's shipping fee is $5, whereas the second company's fee is $2.

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Answer:

570

Step-by-step explanation:

570

The absolute difference that is between the loans paid as 570

We have the following details:

Po = $15000

loan a 5 year loan, interest = 8 percent and repayments = 304.15 dollars

Loan b

3 year loan, interest = 11 percent repayments = $491.08

Total number of repayments = 5 x 12 = 60

Total repayments = 304.15 dollars x 60

= $18249

The total interest that is paid for A would be

$18249 - $15000

= $3249

For the second loan

Total number of repayments = 3 x 12 months = 36

Total repayment = 36 x 491.08 = $17678.88

The total interest for the loan B would be: $17678.88 - $15,000

= $2678.88

Then the absolute difference between the paid loan would be

$3249 -  $2678.88 = 570.12

Hence we would have the absolute difference that is between the loans paid as 570.

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14912 years ago, the tree that was used to kill the support pole died which is one-sixth of the carbon-14 of a modern, living tree.

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

One-sixth of a modern, living tree's carbon-14 is present in an ancient structure.

Assume that the half-life of carbon-14 is 5770 years

As per the given condition, the expression would be

[tex]A(t) = A_o}\dfrac{1}{2} ^{(\frac{t}{5770} )}\\A(t) = (0.167)A_o}[/tex]

[tex](0.167)A_o} = A_o}\dfrac{1}{2} ^{(\frac{t}{5770} )}[/tex]

[tex](0.167) = \dfrac{1}{2} ^{(\frac{t}{5770} )}[/tex]

Take the logarithms of both sides to get:

[tex]log(0.167) =log \dfrac{1}{2} ^{(\frac{t}{5770} )}[/tex]

Using logₐ(xⁿ) = n logₐx.

⇒ log 0.167= (t/5770) log (0.5)

⇒ log 0.167/ log (0.5)= (t/5770)

⇒ 3 = (t/5770)

⇒ t = 3 × 5770

⇒ t = 14912

Hence, 14912 years ago, the tree that was used to kill the support pole died.

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Answer:

x=26, y=90

Step-by-step explanation:

This is what I did,

I knew that y = 90 because it is a Right Angle. I subtracted 90 - 64 and that got me = y 26

+5 degree.

Formula for Length Change due to Thermal Expansion: The formula for calculating the change in length of a substance due to thermal expansion is ΔL=αLΔT Δ L = α L Δ T where L is the original length of the substance and ΔT is the change in temperature of the substance either in degrees Celsius or in Kelvin.

For comparision of temperature -

Subtract the final temperature from the starting temperature to find the difference. So if something starts at 50 degrees Celsius and finishes at 75 degrees C, then the change in temperature is 75 degrees C – 50 degrees C = 25 degrees C.

Given data

temperature of tuesday = 55 degree

temperature of saturday = 60 degree

Difference between temperature  = 60 -55 = 5 degree.

Hence, 5 degree more colder was Tuesday then Saturday.

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Given that XZ is the perpendicular bisector of segment WY, the numerical value of k is 6.

A bisector divides a segment or angle into two equal halves.

Given the data in the question;

Since XZ is a perpendicular bisector of segment WY,

Segment WX is equal to Segment XY

Segment WX = Segment XY

Plug in the given values and solve for k.

3k + 17 = 7k - 7

Collect like terms

3k - 7k = -7 - 17

-4k = -24

Divide both sides by the coefficient of k

-4k/-4 = -24/-4

k = 6

Given that XZ is the perpendicular bisector of segment WY, the numerical value of k is 6.

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Answer:

9x

Step-by-step explanation:

=9x+8x+9x-8x-9x

=9x

The turning point of the function f(x) = |x-2| + 3 will be (3, 2).

Here,

We have to find the turning point of the graph of function,

f(x) = |x−2|+3

What is an absolute function?

The non-negative value of real number without regard to its sign is known as its absolute value.

Now,

The absolute function is;

f(x) = |x+3| -2.

Since, When we plot the graph of the absolute function f(x) = |x+3| -2,

it will give two straight lines which is shown in the graph.

Clearly, The graph of the function changes its position at the coordinate

(3, 2).

Therefore, The absolute function having its turning point at the coordinate ( 3, 2).

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1683 доллара - 102% . Найдем 1  процент и умножим его на 100%, тем самым получив ответ:

1) 1683 / 102 = 16.5 доллара - 1 % от всей зарплаты

2) 16.5 * 100 = 1650 - изначальная сумма, которую получал Андрей до повышения.

Ответ : 1650 $

Answer:

[tex] \large \sf \: x=30[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

5/9 = x/54

Step 1: Cross-multiply.

5/9 = x/54

(5)*(54)=x*(9)

270=9x

Step 2: Flip the equation.

9x=270

Step 3: Divide both sides by 9.

9x/9 = 270/9

x=30

Answer:

i don't know how to attach the file

Answer:

2445

Step-by-step explanation:

it would have 2445 more costumers

Answer:

2445

Step-by-step explanation:

Subtract.

14301 - 11856 = 2445 more people on weekdays

Answer:

x=29 angle a=63 Ang b=46 and c=71

Step-by-step explanation:

2x+5+x+17+3x-16=180 (sum of angles in triangles)

value of x is 29 substitute it in angle a b c

a=2*29+5

=63

b=29+17 = 46

c=3*29-16 = 71

Therefore, the price elasticity of demand by percentage change method is -0.025.

Given the price of a first commodity (p₁) = 6 rs

the price of a second commodity (p₂) = 10 rs

Expenditure on first commodity (s₁) = 120

Expenditure on second commodity (s₂) = 180

We need to find the quantity as

120 = 6 * Q₁.              180 = 10 * Q₂

Q₁ = 120 / 6                 Q₂ = 180 / 10

Q₁ = 20                         Q₂ = 18

price elasticity of demand by percentage change method as

Eₐ = P / Q * ΔQ /ΔP

ΔQ = Q₂ - Q₁ = 18 -20 = -2

ΔP = p₂ - p₁ = 10 - 6 = 4

Eₐ = 6 / 120 * -2 / 4

Eₐ = - 0.025

Therefore, the price elasticity of demand by percentage change method is -0.025.

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Answer: 40

Step-by-step explanation:

if 6 games = 24 tokens

then 1 game = 24/6=4

so 10 games = 4*10=40

Answer:

40

Step-by-step explanation:

24/6 = 4 tokens per game

4*10 games = 40

Answer:

the answer is 7+1-7+0/xx{12

Step-by-step explanation:

the answer above stated is correctly corrected correct

Answer:

Step-by-step explanation:

it would be great if u had the image, but at least I can give some advice: use the method of rise over run to find the slope. use 2 points and count the number of squares "rising" and turn right and count the number of squares "running". left and down if it's going downward.

for the y intercept, find the x that equals 0. your coodinate should look like this: (0, *insert y*)

The translation of the points as Z' ( - 8 , - 3 ), K' ( - 7 , 0 ) and K' ( - 5 , 0 ).

We are given the translation as:

(x , y)  → (x - 5 , y + 1)

Now we have some points:

Z (−3, –4)

K (−2, −1)

M (0, -1)

We need to translate these points.

For Z (−3, –4), we get the translation as:

Z (−3, –4) = Z' ( - 3 - 5 , - 4 + 1)

Z (−3, –4) = Z' ( - 8 , - 3 )

For K (−2, −1), we get the translation as:

K (−2, −1) = K' ( - 2 - 5 , - 1 + 1)

K (−2, −1) = K' ( - 7 , 0 )

For M (0, -1), we get the translation as:

M (0, -1) = K' ( 0 - 5 , - 1 + 1)

M (0, -1) = K' ( - 5 , 0 )

Therefore, we get the translation of the points as Z' ( - 8 , - 3 ), K' ( - 7 , 0 ) and K' ( - 5 , 0 ).

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Answer:

He now has 64 marbles.

Step-by-step explanation:

This is because 1/5 of 80 is 16.

Answer:

1/8

Step-by-step explanation:

When worked out, all numbers are equal to 1.8 except 1/8. (1/8 is equal to .125)

1/8) 1 divided by 8 is .125

18/10) 18 divided by 10 is 1.8

1.8) 1.8=1.8

1 4/5) 4 divided by 5 is .8, and when you add the 1 it ends up as 1.8

Answer:

Step-by-step explanation:

According to the graph, point A has a negative value, between - 1 and zero.

All the expressions could result in negative value apart from the sum of the squares, which is never negative.

Correct choice is C.

Answer:

–24x – 24 = x3 + 8x2

Step-by-step explanation:

-24x-24=x^3+8x^2

x^3+8x^2+24=-24x-24+24

x^3+8x^2+24=-24x

x^3+8x^2+24+24x=-24x+24x

x^3+8x^2+24x+24=0

Answer: x=-2

Step-by-step explanation:

[tex]-24x-24=x^3+8x^2\\-24x-24+24=x^3+8x^2+24\\-24x=x^3+8x^2+24\\-24x+24x=x^3+8x^2+24+24x\\0=x^3+8x^2+24x+24\\x^3+8x^2+24x+24=0\\x^3+8x^2+12x+12x+24=0\\(x)(x^2+8x+12)+(12)(x+2)=0\\(x)(x^2+2x+6x+12)+(12)(x+2)=0\\(x)((x)(x+2)+6(x+2))+(12)(x+2)=0\\(x+2)((x)(x+6)+12)=0\\ (x+2)(x^2+6x+12)=0\\x+2=0\\x+2-2=0+(-2)\\x=-2\\x^2+6x+12=0\\D=(-6)^2-(4)(1)(12)\\D=36-48\\D=-12\\Hence,\\The\ equation\ has\ no\ valid \ roots\\Thus,\\x=-2[/tex]

The distribution is a probability distribution, and the reasons are

The probability distribution is given as:

X     0   1    2

P(X) 0 1/3 2/3

From the above table of probability distribution, we can see that each probability value is between 0 and 1 (inclusive)

Also, the sum of probabilities is 1

i.e. 0 + 1/3 + 2/3 = 1

Hence, the distribution is a probability distribution, and the reasons are

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