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.

Answers

Answer 1

Answer:

(a) [tex]j = 4k[/tex]

(b) [tex]4k - 18 = 18 + k[/tex]

(c) Jim initially had 48; Kirk initially had 12

Step-by-step explanation:

Given

[tex]j = Jim[/tex]

[tex]k=Krik[/tex]

Solving (a): An equation for the amount they originally had.

From the question, we understand that j is 4 times as many as k.

Mathematically, this is:

[tex]j = 4 * k[/tex]

[tex]j = 4k[/tex]

Solving (b): Equation after Kirk wins

Initially Kirk had k.

To get the new expression, we add 18 to k.

This gives: 18 + k

In the same vein, Jim's number of chirps will reduce by 18.

Initially, Jim had j chirps (or 4k chirps)

To get the new expression, we subtract 18 from j.

This gives: j - 18

So, the equation is:

[tex]j - 18 = 18 +k[/tex]

Solving (c): Number of chirps they started with.

In (b), we have:

[tex]j - 18 = 18 +k[/tex]

Substitute 4k for j

[tex]4k - 18 = 18 + k[/tex]

Collect Like Terms

[tex]4k - k = 18 + 18[/tex]

[tex]3k = 36[/tex]

Divide both sides by 3

[tex]k =12[/tex]

Substitute 12 for k in [tex]j = 4k[/tex]

[tex]j = 4 * 12[/tex]

[tex]j = 48[/tex]


Related Questions

-11r + 88 = 77
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Answers

Answer:

r=1

Step-by-step explanation:

77 - 88 = -11

-11/-11 = 1

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A whole is a fraction with the denominator of one.

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40.32

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Answer:

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Please help me:) this is due by tonight!

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Answer:

[tex]Solution,\\Here,\\Slope~of~line~y=\frac{2}{3}x+19, m_1=\frac{2}{3} \\Let~slope~of~line~passing~through~(6,2)~and~parallel~to~ y=\frac{2}{3}x+19~be~m_2.\\Using~condition~of~parallel~lines,\\m_1 = m_2\\or, m_2 = \frac{2}{3} \\Now,\\The~eq^n~of~a~line~passing~through~(6,2)~and~having~slope~\frac{2}{3}~is~given~by:\\y-2=\frac{2}{3} (x-6)\\or, 3y-6 = 2x-12\\or, 2x-3y = 12-6\\or, 2x-3y=6~is~the~required~equation[/tex]

Solve for the variable
X-11 = 8

Answers

This is pretty easy to do.

First, you have to get x alone by getting rid of the terms next to it. In this case, it’s -11.

To get rid of a term, do the opposite.


So x - 11 + 11 = 8 + 11
Remember to do it on both sides.

x = 19
Answer: 19
Why?
You have to get x alone so you have to add 11 to both sides
X-11+11= 8+11
The 11 cancel out on the left and 8+11 equals 19 so x=19

good at math? PLEASE HELPPPP!!

Answers

Answer:

b

Step-by-step explanation:

In the figure below, AB is a diameter of circle P.
What is the arc measure of major arc ABC in degrees?

Answers

Answer: 249

Step-by-step explanation: Khan Academy

Answer:

111

Step-by-step explanation:

GOT IT RIGHT!

Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?

A)liz
B)Rick

this is Compare rates: word problems please show and explain the work show WORK

Answers

Liz squeezed lemons faster. Liz squeezed 18 lemons in 6 minutes. To find out how many she squeezed in a minute, you would do 18 / 6, which gives you three. Rick squeezed 24 lemons in 12 minutes. To find out how many lemons he squeezed in a minute, you would do 24/12, which gives you 2. So, Liz squeezed 3 lemons per minute while Rick squeezed 2 lemons per minute.

Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet.

A right triangle with side length 6 feet, s, and hypotenuse 13 feet.
[Not drawn to scale]

What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet

Answers

Answer: 11.5 feet

Step-by-step explanation:

We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:

Let the length of Fahims shadow be x

hypotenuse² = opposite² + adjacent ²

13² = 6² + x²

169 = 36 + x²

x² = 169 - 36

x² = 133

x =✓133

x = 11.53

= 11.5 feet to nearest tenth

Answer:

C 11.5

Step-by-step explanation:

Have a great day!

i need help asap i’ll be giving a brainliest to the person with the correct answer

Answers

Answer:

A newborn weighs 8 pounds at birth and gains 1.5 pounds each month for the next 3 months.

They all mostly seem right, but when a baby is first born the year is 0, so therefore it most likely seems like the first one! :)

^^ hope this helps :)

3. Solve for x. Round to the nearest tenth *
25
16
22

Answers

Answer:

51.3 degrees

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

Is C

Step-by-step explanation:

60 = 6y

if you divide both by 6

So y = 10

There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit

Answers

D because of lx w x h and you would get one cubic unit

PLSSSS HELPPPP, i need to identify slope and y intercept also have to write a linear equation!!!

Answers

Answer:

y int= 12.50

slope= 2.00

equation= y=2x+12.5

Step-by-step explanation:

the y intercept in this case is the cost when you've watched 0 movies- its the initial price you pay, or the y value when the x value is equal to 0

the slope is the cost of each movie, or the increment by which the y values goes up when the x value goes up by 1 in this case. (for example the slope would be 5 if the movie price were 5 for each one movie)

y=mx+b is the equation for a linear equation, where m is the slope and b is the y intercept.

Simplify the expression by combining like terms

34 -11c-7+2c

Answers

27-9c

Please give Brainliest !!

Need help no work shown=a big fat 0
Need 22,23,and24
26 if can

Answers

Answer:

22.)

m/8 = 15/24

8×15= 120

120÷24= 5

m=5

23.)9/p = 4/48

9×48= 432

432÷4=108

p=108

24.) 10.50÷3= 3.50

thats $3.50 per pizza.

9 pizzas= $31.50

plus one pizza aka, 31.50+3.50= $35

therefore, 10 pizzas would cost $35

26.) 5/2 = d-2/4

cross multiply:

5×4=2(d-2)

20= 2(d-2) divide both sides by 2

20÷2 = 2(d-2)÷2

10= d-2 exchange places with d and 10 and change signs

-d= -2-10

-d=-12 change the sign on both sides when the variable is negative.

d=12

solve the equation -16(d+1) =-20

Answers

Answer:

d= 1/ 4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

-16(d + 1) = -20

-16d - 16 = -20

-16d - 16 + 16 = -20 + 16

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If 500 calories adds 1 pound to your weight how many 1000 calorie banana splits would you need to eat to gain 10 pounds

Answers

500cal=1lb
1000cal=2lbs
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1000x5=5000
Answer: 10 banana splits

Answer: 5

Step-by-step explanation:

each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.

500cal = 1 lb.

1000cal = 1 banana split

1 banana split = 2lbs.

to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits

pls help i am on a timer

Answers

Answer: (x-6)(x+1)

Step-by-step explanation:

Sum :  x2 − 5  x- 6

x2 + x-=6 x − 6

factor pair: x  2 + x − 6 x − 6

x( x+ 1 ) − 6 ( x + 1 )

rewrite from: x (x  + 1 ) − 6 ( x + 1 )

(x-6)(x+1)

Answer:

A: (x-6)(x+1)

Step-by-step explanation:

We need to find 2 numbers that add to make -5 and multiply to make -6.

We already have the numbers infront of us, so by process of elimination we can remove B and D.

For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.

If we expand A, it makes the expression that needs to be factorised because...

-6 × 1 = -6

-6 + 1 = -5

So expanding it properly we get.

x² - 6x + x - 6

Simplify.

x² - 5x -6

Graph the line with slope -5 and y-intercept 7.

Answers

Answer:

start your grap at (0,7) and go up 5 to the right 1 and down 5 to the left 1

Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds.
Reagan swims 160 feet in half a minute. Who swims fastest?

Answers

Answer: Jesse

Step-by-step explanation:

Elizabeth - 50f/10s

Jesse - 55f/10s

Reagan - 53.3333333/10s

Jesse is the fastest

Answer:

I think that Jessie swam the fastest

Step-by-step explanation:

Jessie swam the fastest bc Reagan only swims 160 feet in half a minute and 110 is less than 160 and 20 + 20 =40 so if Jessies swimming speed and time was multiplied by 2, she would still swim faster!

(sorry Im not the best at math but I hope you can understand my logic lol)

SOMEBODY PLEASE TELL ME HHOW TO MAKE FRACTIONS INTO PERCENTS WORTH 20 POINTS

Answers

Step-by-step explanation:

Easy steps!

Turn the fraction into a decimal first (or in other words, divide) (For Example: 1/2 = 0.5)Move the decimal point to the right TWO times, and voila (For example: 0.5 = 50%)

50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 620 students in the school how many students would you expect in the entire school to prefer Coke?

Answers

Answer:

around 470 students would prefer coke

Step-by-step explanation:

50 - 12 = 38

38 / 50 = 76%

620 (0.76) = 471.2

fill in the missing number 21-(-17)=21+...

Answers

Answer:

the answer of 21-(-17)=21+17=38

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I rlly need it done

Answers

Answer:

ML = 6

Step-by-step explanation:

Since HIJ is a scale drawing of KML, this means the IJ and ML are corresponding sides. The corresponding sides have proportional lengths, so from HJ ≅ LK you can learn that the scale factor is 20 / 5 = 4. likewise you can confirm this with HI ≅ MK is 36 / 9 = 4.

So ML is found by dividing JI by 4 = 24/4 = 6.

HAIRCUT Josiah went to the local
barber to get his hair cut. It cost
$18 for the haircut. Josiah tipped
the barber 15%. What was the total
cost of the haircut including the
tip?

Answers

The correct amount would be $20.70

PLEASE I REALLY NEED YOUR HELP!

Answers

Answer:

x = 28

m∠ACD = 68°

Step-by-step explanation:

∠BAE ≅∠DAC because they are vertical angles

∠ACD = 180 - 124 = 56°

to find 'x':   56 + 2x + (180 - 4x) = 180

236 - 2x = 180

-2x = -56

x = 28

m∠ACD = 180 - 4(28)  =  180 - 112  =  68°

PLEASEEE HELP ME I HAVE 1 minute left

Answers

Answer:

2/3 is answer

Step-by-step explanation:

2/3
T

Explanation: 4 out of the 6 have names that start with m so if you go 4/6 divided by

What is the measure of angle C?

Answers

Answer:

48

Step-by-step explanation:

57 + 27 = 84

180 - 84 = 96

96 ÷ 2 = 48

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