4. Jim and Kirk are playing a card game where they trade chips. At the beginning of the game, Jim has four times as many chips as Kirk does. After Kirk wins the game, Jim gives Kirk 18 of his chips, at which point they now have the same number of chips. How many did Kirk have to begin with?

(a) If j represents the original number of chips Jim had and k represents the original number of chips that Kirk had, then write an equation that models the amount of chips they originally had. Explain your equation.

(b) The equation j k − = + 18 18models the scenario after Kirk wins the game. Explain why.

(c) Determine how many chips both Kirk and Jim started with.

Answer:

0.0022x

Step-by-step explanation:

Given that,

The credit card company raised her APR from 14% to 15.2%.

Her average daily balance this month is x dollars.

We need to find the algebraically the increase in this month's finance charge due to the higher APR. It can be calculated as follows :

[tex]y=x\times \dfrac{12\%}{14}-x\times \dfrac{15.2\%}{14}\\\\=x\times \dfrac{12}{1400}-x\times \dfrac{15.2}{1400}\\\\=-0.0022x[/tex]

So, the required increase in the month's finance is 0.0022x.

Answer:

0.001x

Step-by-step explanation:

Answer:

$21.40

Step-by-step explanation:

7% is equal to .07

multiply .07 times 20

=1.40

add the $1.40 sales tax to the meal price to get 21.40

Answer: 2x+10 is equivalent but id.k if it was a choice bc u didnt put any

Step-by-step explanation: thx for the points

Answer:

-10 ||10||

Step-by-step explanation:

Answer:

don't cry because it is over smile because it happened

Step-by-step explanation:

Answer:

This function is exponential

Answer:

$21,807.10

Step-by-step explanation:

Amount ( percent decrease)^time

32,000(0.88)^3 = $21,807.10

Percent decrease = 100 - 12 = 88%

Answer:

0     7

1     7.20

2    7.40

3    7.60

Step-by-step explanation:

the answer is 1.1

i hoped this help

Answer:

-21 - (-14) = -21 + 14 = -7

Step-by-step explanation:

A - and a - make a +. So -21 - (-14) makes -21 + 14. Solve to get -7.

Hope it helps!

Answer:

B). ∠BAC and ∠CAD

C). ∠BAE and ∠EAD

D). ∠EAD and ∠DAC

Step-by-step explanation:

As we know, a linear pair consisting of angles at a single point of the line has a sum of 180° in total. In other words, two supplementary angles together comprise a linear pair. In the given figure, the pair of supplementary angles ∠BAC and ∠CAD, ∠BAE and ∠EAD, and ∠EAD and ∠DAC are the linear pairs as their sum is 180°. Thus, options B, C, and D are the correct answers.

Step-by-step explanation:

EAD ∠BAC and ∠CAD ∠BAE

Answer: up

Step-by-step explanation: good

Answer:

Step-by-step explanation:

expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and

60% gross margin means they increase by the price by 60%

Multiply the purchase price by 1 + the gross margin:

16 x (1 + 0.60) = 16 x 1.60 = 25.60

The sticker price is $25.60

Answer:

1.) 18

2.) 55

3.)43

Step-by-step explanation:

Answer

6 months / the $30 ($5 per month) will be cheaper

Answer:

1) Six months

2) The second plan ($30 sign up fee, $5 per month)

Step-by-step explanation:

1) Six months

We can write an equation such as 30 + 5m = x, where m = months and x = total cost after a certain amount of months. If we know that the first plan costs $12 a month, we can find the LCM of 12 and 30 + 5m, which is 60. If we plug in 60 as m in the equation I showed, we'll get this:

30 + 5m = 60

Solve for x = 6.

2) The second plan

Write the first plan as an equation 12m = x, where m is months and x is the total cost after a certain amount of months. If we plug in 12 for m (since there's 12 months in a year), we'll get 12(12) = x, where x is equal to $144 after a year.

Write the second plan as an equation 30 + 5m = x, where m is months and x is the total cost after m months. Plug in 12 again so our equation looks like

30 + 5(12) = x. Solve for x and get $90 after a year.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]D = s.t[/tex]

Required

Which represents 400km

This question requires options. Since none were given, I will answer on a general term.

Situation 1:

s = 20km/h and t = 20h

[tex]D = s.t[/tex]

[tex]D = 20km/h * 20h[/tex]

[tex]D = 400km[/tex]

Situation 2:

s = 10km/h and t = 40h

[tex]D = s.t[/tex]

[tex]D = 10km/h * 40h[/tex]

[tex]D = 400km[/tex]

Situation 3:

s = 40km/h and t = 10h

[tex]D = s.t[/tex]

[tex]D = 40km/h * 10h[/tex]

[tex]D = 400km[/tex]

So, all you literally have to do is multiply the values of s and t. If the product gives 400, then; that situation is D = 400

Answer:

where is the paragraph?

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{dS}{dt}=\frac{3}{50r}[/tex]

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt  = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]

Therefore:

[tex]\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}[/tex]

Next, the surface area of a sphere S is given by:

[tex]\displaystyle S=4\pi r^2[/tex]

Therefore:

[tex]\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}[/tex]

We can divide both sides by 2:

[tex]\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}[/tex]

We can substitute this into dV/dt. Rewriting:

[tex]\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)[/tex]

So:

[tex]\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}[/tex]

Since dV/dt = 0.03 or 3/100:

[tex]\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}[/tex]

Therefore:

[tex]\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)[/tex]

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

Answer:

150

Step-by-step explanation:

So first you divide 120 by 4 so you know how much times 4 was increased, 4 was increased by 30 times

Next you multiply 5 by 30 because 4 was multiplied by that much

The answer is 150 girls

Answer:

around 126

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

(-1^2)x 3 = 3

-1 x 4 = -4

3--4 = 7

Answer:

17.14

Step-by-step explanation:

360/21=17.14

Answer:

(4 × 90) ÷ (3 × 7)

= 360 ÷ 21

= 17.14

Answer:

C

Step-by-step explanation:

So your total is 15. There are 3 vans, and we want to know how many are on each van.

3 (number of people on each van)=15

Number of people are unknown

3x=15

Divide both sides by 3 to solve for x

x=5

Answer:

Only the third sequence is arithmetic

Step-by-step explanation:

If the sequence has a common difference, then it is arithmetic.  To find the common difference, substract a term from the next term.

First sequence:  

10 - 20 = -10     5 - 10 = -5    The differences are not the same,   so the sequence is NOT arithmetic

Second sequence:

-6 - (-3) = -3     -18 - (-6) = -12   The differences are not the same,   so the sequence is NOT arithmetic

Third sequence:

 10 -  5 =  5     15 - 10 = 5   20 - 15 = 5  The differences are the same,   so the sequence is arithmetic

Fourth sequence:

10 - 5 = 5    20 - 10 = 10   The differences are not the same,   so the sequence is NOT arithmetic