Question 19
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218

Answers

Answer 1

Answer:

D. 213

Step-by-step explanation:

The number of black pieces is 5 more than 3 times the white pieces:

b = 3w + 5

Let the number of rounds is x.

Initial number of white nd black pieces:

w = 7x + 3b = 15x + 56

Substitute the values of b and w into first equation and find the value of x:

15x + 56 = 3(7x + 3) + 515x + 56 = 21x + 146x = 42x = 7

Find the number of pieces:

w = 7*7 + 3 = 52b = 3*52 + 5 = 161w + b = 52 + 161 = 213

Correct choice is D

Answer 2

Answer:

A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?

A. 52

B. 158

C. 210

D. 213

E. 218


Related Questions

−3 ≤ n < 2
−2 < m < 4
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1 9/10 is the answer to this fraction

Felicia bought 20.8 gallons of gasoline. There are approximately 3.8 liters in 1 gallon.

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Answer:

79.04 liters

Step-by-step explanation:

20.8 x 3.8 = 79.04

7) What symbol should be used to show the relationship of 101.768 101.867 between the numbers?​

Answers

The symbol that can be used to show the relationship of 101.768 -----

101.867 between the numbers is < (less than)

The question is what symbol should be used to show the relationship

between 101.768 and 101.867.

Both numbers are decimal numbers.

101.768  is not equal to 101.867.

Instead,  101.768 is less than 101.867.

Therefore, the symbol that can be used to show the relationship of 101.768 ---

-- 101.867 between the numbers are as follows:

101.768 <  101.867

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Caroline opens a savings account at her local
bank. She plans to put of her net paycheck
10
in her savings account every week. In June, her
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Answers

Answer:

So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account

Step-by-step explanation:

In the function y=f(x), y varies inversely with the square of x and when x=4, y=1/2. Find y when x=1.

Answers

ok so

y= 4/3x2

Y varies inversely with square of x means

y = k (1/x²) where k is the constant

plug in y =1/3 and x = - 2 in the above equation.

1/3=k (1/{-2}²)

1/3=k (1/4)

multiply with 4 to both sides.

4/3 =k

therefore,

y=4/3 (1/x²) = 4/3x²

Calculator
Which ordered pair is the solution to the system of equations?
1 -5x - 3y = 12
Y=x-12
0 (0, -4)
0 (-6, 6)
O (1, -11)
O (3,-9)

Answers

[tex] \text{Given : Which ordered pair is the solution to the system of equations?} \\ \\ \begin{cases}-5x - 3y = 12 \\ y - x = 12 \end{cases} [/tex]

[tex] \text{Solution : According to the question, here let's take these variables as two} \\ \text{equations then get their value and finally get the answer.} \\ \\ \sf {1}^{st} \: equation : \\ \leadsto \frak{-5x - 3y = 12} \\ \\ \leadsto \frak{-5x = 12 + 3y} \\ \\ \leadsto \frak{x= \frac{12 + 3y}{-5}} \qquad \sf ...eq(1) \\ \\ \sf 2^{nd} \: equation : \\ \leadsto \frak{y = x - 12} \qquad \sf ...eq(2) \\ \\ \underline{ \frak{finding \: x }} : \\ \\ \dashrightarrow \frak{x= \frac{12 + 3y}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3(x - 12)}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3x - 36}{-5}} \\ \\ \dashrightarrow \frak{-5x= 12 + 3x - 36} \\ \\ \dashrightarrow \frak{-5x - 3x= - 24} \\ \\ \dashrightarrow \frak{-8x = - 24} \\ \\ \star \quad \underline{ \boxed{ \green{ \frak{x = 3}}}} \\ \\ \underline{ \frak{ getting \: y}} : \\ \\ \dashrightarrow \frak{y = 3 - 12} \\ \\ \star \quad\underline{ \boxed{\blue{ \frak{y = - 9}}}} \\ \\ [/tex]

[tex] \green{ \mathbb{HENCEFORTH, \: THE \: PAIR \: IS \: \pink{\frak{ (3,-9)}}}}[/tex]

Precalc please help

Answers

The second one hope this helps

A teacher always arranged the content of his lessons as teaching and practicing learnt skills in the ratio 3: 2 If a lesson lasted for 45 minutes. How much teaching would he do?


HELP PLSSS !!!

Answers

Answer:

27 minutes

Step-by-step explanation:

3 + 2 = 5

45 / 5 = 9

3 * 9 : 2 * 9

27 : 18

If z varies directly as x and inversely as y and is equal to 4 when x and y have the values 12 and 8 respectively, what is the value of z when x is equal to 6/7 and y is equal to 5/28?

Answers

Answer:

[tex]z = \frac{2}{7} [/tex] when x= [tex] \frac{6}{7} [/tex],

z= 179.2 when y= [tex] \frac{5}{28} [/tex]

Step-by-step explanation:

Let's start by writing out the two general equations for z.

Since z varies directly with x,

z= kx, where k is a constant.

Since z varies inversely with y,

[tex]z = \frac{k}{y} [/tex], where k is a constant.

When x= 12, z= 4,

4= k(12)

12k= 4

k= 4 ÷12

k= ⅓

∴ z= ⅓x

When x=[tex] \frac{6}{7} [/tex],

[tex]z = \frac{1}{3} ( \frac{6}{7} )[/tex]

[tex]z = \frac{2}{7} [/tex]

When y= 8, z= 4,

[tex]4 = \frac{k}{8} [/tex]

k= 4(8)

k= 32

[tex]∴z = \frac{32}{y} [/tex]

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[tex]z = 32 \div \frac{5}{28} [/tex]

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z= 179.2

I need help really bad! I have literally no clue what the answer is to this question

Answers

Answer: C is the answer

Answer:

The second answer: {(-1, 4),(2, 7),(3,7)} because every x value has one y value

Solve the given equations. PLEASE show your work. Tell me if there is no solution or infinite.




17 + 2(1 + 3x) = x - 5(3 - x)

Answers

Answer:

x = 17/5

Step-by-step explanation:

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19+15 = 16x-6x

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x = 17/5 or 3 2/3

there are 5 major train tracks from city x to city y and 3 major train tracks from city y to city z. how many trips can be made from city x to city z, passing through city y?

Answers

Answer:

3 trips

Step-by-step explanation:

I think it is three trips because 3 out of the 5 train tracks from city x were found in city y, therefore only 3 train tracks will be found in city z so there are 3 trips

A right triangle with a hypotenuse of square root of 61 has an area of 15 square inches. Find the lengths of the other two sides.



Answers

The lengths of the other two sides are 6 inches and 5 inches

Let b represent the base of the right triangle, h represent the height of the right triangle and x represent the hypotenuse.

Since the area of the triangle is 15 in², hence:

Area(A) = (1/2) * base * height

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bh = 30  

b = 30/h         (1)

Applying Pythagoras theorem also:

x² = b² + h²

(√61)² = b² + h²

61 = (30/h)² + h²

61 = 900/h² + h²

61h² = 900 + h⁴

h⁴ - 61h² + 900 = 0

h = -6, -5, 5, 6

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When h = 5; b = 30/5 = 6

When h = 6; b = 30/6 = 5

Therefore the lengths of the other two sides are 6 inches and 5 inches

Find out more at: https://brainly.com/question/2773823

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Answers

Answer:

7

Step-by-step explanation:

15-8 is 7

16-8 is 7

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this fits the eqation.

hope this helps you

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Answers

Answer:

17

Step-by-step explanation:

(3z - 1) when z = 6

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Answers

Answer:

y=-4x+2

Step-by-step explanation:

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Find the slope of the line.

Answers

Answer:

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Step-by-step explanation:

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[tex]\frac{15-4}{4- 10}=\frac{11}{-6} = \boxed{-\frac{11}{6}}[/tex]

Hope this helps.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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what is pulmonary function ​

Answers

Answer:

pulmonary function is the blood or gas flow from or to the lungs

Step-by-step explanation:

the lungs take in oxygen and take out c02

The lungs' main role is to bring in air from the atmosphere and pass oxygen into the bloodstream. From there, it circulates to the rest of the body. Help is required from structures outside of the lungs in order to breathe properly.

The length of a flat-screen tv is 5 inches less than 3 times its width if the perimeter of the tv is 150 inches find the demensions

Answers

Answer:

Length(L) is 55

Width(W) is 20

Step-by-step explanation:

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Answers

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Answers

Answer:

H = V0 t + 1/2 g t^2   is the equation in question with V0 and g in different directions, they have different signs

plz help me plz need your help plz help

Answers

Step-by-step explanation:

a+b^2 =a^2+b^2+2ab

-2ab and+2ab cut

Melissa can buy an 8 pound bag of dog food for $7.20. What is the cost of 1 pound? PLZZ I REALLY NEED HELP!

Answers

Answer:

$0.90

Step-by-step explanation:

7.20/8 = $0.90

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Answers

Answer:

rational

Step-by-step explanation:

A plumber charges a base fee of $60, and then each hour of work costs $15. Yesterday Joe hired the plumber to fix his sink, at a total cost of $240. How many hours did the plumber work?

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The answers or your question is 12

draw a number line and locate all the integers between -3 and 3

Answers

Answer:

sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would

Clare had t books. After she bought 8 more books, she had 24 books. Write and solve an equation to find the number of books Clare started with

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Answer:

24-8=t

Step-by-step explanation:

I cant really explain much...

but, Hope it helps

plz mark brainiest if it does

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