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

Can someone help me with this problem?

Answers

Answer:

  16.6 ft^2

Step-by-step explanation:

1 foot = 0.3048 meter

  1.54 m^2 = (1.54 m^2)·(1 ft/(0.3048 m))^2 = 1.54/0.3048^2 ft^2

  ≈ 16.6 ft^2

_____

Additional comment

The idea in units conversion is to multiply by a fraction whose value is 1 (because the numerator and denominator are the same amount), but whose units cancel the ones you don't want and give you the ones you do want.

Here, our conversion factor has m^2 in the denominator and ft^2 in the numerator, so it cancels m^2 in the given number and gives a result in ft^2.


Translate the English phrase into an algebraic expression: four times the difference of v and one.

Answers

Answer:

4(v-1)

Step-by-step explanation:

the answer is 4(V-1)

Answer:

the answer is 4(v-1)

The radius of a circle is 5 ft. Find its circumference in terms of pi

Answers

Answer:

10 pi

Step-by-step explanation:

circumference of the circle equals = 2π R = 2*pi* radius

so circumference = 2*5*π = 10π = 10 pi (in terms of pi)

Answer:

The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.

Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:

C = 2πr

C = 2π(5)

C = 10π

Therefore, the circumference of the circle is 10π inches.

HELP ME OUT PLEASE
PLS SEND PICTURE OF WHAT TO DO

Use the data to create a scatter plot. ​​

Answers

Answer:

(2,5)

(3,8)

(4,13)

(5,12)

(6,18)

(7,20)

Plug those into the scatter plot graph

Step-by-step explanation:

The left side is the x axis and the right side is the y axis

A stream drops 30 feet in elevation over a horizontal distance of 2640 feet. What is the stream gradient

Answers

The stream gradient of a stream that drops 30 feet in elevation over a horizontal distance of 2640 feet is 0.01136363636.  

Stream gradient is the ratio of drop in elevation of a stream per units horizontal distance. Therefore,

stream gradient = vertical change in elevation / horizontal distance

where

vertical change in elevation = 30 feet

horizontal distance = 2640 feet

stream gradient = 30 / 2640

stream gradient  = 0.01136363636

read more: https://brainly.com/question/13750927?referrer=searchResults

Which is the algebraic expression for "two times the sum of a number and four'?

*Someone save me.*​

Answers

Answer:

2(x+4)

Step-by-step explanation:

use a calculator to find the square for 7.6​

Answers

Answer:

Using a calcuator, [tex]7.6^{2} =57.76[/tex]

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Shows me 57.76 well....

Hope it helps!

Brainliest pls!

Follow me! ♧

If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51

Answers

Step-by-step explanation:

q is inversely to p and we need to add k as the constant..

then find value of k by sub the value of p and q

after that sub the value of k and p to find q

Find the median salary of nurses in Illinois : $72500, $52000 , $88500 , $73300 , $112000

Answers

Answer:

the correct answer is $74,560 but since that's not declared go with 73300

9
10
11
12
13
An international company has 21.100 employees in one country. If this represents 23.9% of the company's employees, how many employees does it have in
total?

Answers

ok then I don't understand well but I think its 45.10.00

A kayak is originally priced at $130. The online retailer vives a Discount and the kayak is now priced at $65. Enter the porcentaje Discount for the cost of the kayak

Answers

Answer:

50% decrease

Step-by-step explanation:

130-65 = 65

65/130 = 0.5

0.5 x 100 = 50

The discount was 50% off


16 +1 -1 = 17-2
True
False

Answers

Answer:

false i think

Step-by-step explanation:

16+1=17-1=16-2=14

Please hurry, will mark brainliest if you answer correctly

Answers

Answer:

10

Step-by-step explanation:

according to BODMAS

6÷2=3

3+3=6

4^2=16

16-6=10

16.00 is the correct answer

Solve the problem using a system of equations: The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers.
(__,__),(__,__)

Answers

The numbers which hold true for the situation modelled in the task content are; (-√15, 0) and (+√15, 0).

Which numbers hold true for the situation?

The system of equations which model the situation is;

x²- y² = 15

2x² - y² = 30.

Hence, by subtracting equation 1 from 2; we have;

x² = 15

x = ±√15.

and hence by substitution; the value of y is;

(√15)² + y = 15

y = 0.

Hence, the required values of the numbers are;

(-√15, 0) and (+√15, 0).

Read more on system of equations;

https://brainly.com/question/14323743

#SPJ1

If a/(a+b) = 37/40 Find a/(a-b)​

Answers

a/(a+b) = 37/40

(a+b)/a = 40/37

a/a + b/a = 40/37

1 + b/a = 40/37

b/a = 40/37 - 1

= 3/37

1 - b/a = 34/37

(a-b)/a = 34/37

a/(a-b) = 37/34

Good Luck

Is it possible for a fifth degree polynomial function with
integer coefficients to have no real zeroes?

Answers

if a polynomial function is given with degree and and and is even then it is possible toe have all complex zeros as complex zeros come in pairs in conjugated pairs, so we would always have two times the number of pairs given us and even degree.

4.
Identify the vertex of the parabola.



A. . (0, 1)

B. (1, 0)

C. (−1, 0)

D. (0, −1)

Answers

Answer:

B. (1, 0)

Step-by-step explanation:

1,0 should be the vertex for this parabola

...................................................................................................................................................

1,0 should be the correct answer

Answer:

B. (1, 0)

Step-by-step explanation:

The vertex is the point where the two lines meet. In this instance, that is at the point (1, 0).

A vehicle purchased for $25000 depreciates at a constant rate of 5% per year. Determine the approximate value of the vehicle 12 years after purchase. Round to the nearest whole number.​

Answers

Answer:

$13,509.

Step-by-step explanation:

After each year the vehicle is worth 95% of the previous value.

95% = 0.95.

So after 12 years the approximate value

= 25000 * 0.95^12

= $13,509.

what number multiplied by 5 9 has a product of 1

Answers

I think the answer is five

The question is in the picture.

Answers

Answer:

[tex]x^{3r-18}[/tex]

Answer:

[tex]x^{3r-18}[/tex]

Step-by-step explanation:

[tex]\frac{1}{x^{18-2r} } x^{r} =\frac{x^{r} }{x^{18-2r} }[/tex]

[tex]=x^{r-(18-2r)} =x^{r-18+2r}[/tex]

[tex]=x^{3r-18}[/tex]

Hope this helps

Help help help help help help help

Answers

Answer:

6

Step-by-step explanation:

x coordinate goes left and on 6 line

y coordinate goes up and on 1 line

(x, y)

(6, 1)

x coordinate is 6

Please help me ASAP please olease

Answers

Answer:

x=100 degree's

Step-by-step explanation:

Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.

Answer:

pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.

2x+3-3 when x=-6



solve

Answers

Answer:

x=9

Step-by-step explanation:

7-2×8+1 evaluate each of the following​

Answers

Answer:

-8

Step-by-step explanation:

u just do the 2x8 first

Hi! So in equations similar to this, you will need to use PEMDAS.

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Now that you know this, reevaluate your equation.

7-2x8+1

Firstly, you must multiply -2 and 8. Leaving you with -16.

7-16+1

Next, subtract 16 from 7.

-9 + 1

Finally, add -9 and 1.

-8

Your final answer is -8.

find the area of the triangle. 20ft, by 21ft. by 29ft.

Answers

Answer:

a=210ft²

The area of the triangle is 210 square feet.

Step-by-step explanation:

This is a right triangle, as shown by the Pythagorean theorem:

[tex]20^{2} +21^{2} =29^{2} \\400+441=841\\841=841[/tex]

The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.

The area of that rectangle is:

[tex]a=b*h\\a=20*21\\a=420[/tex]

And then the area of the triangle is:

[tex]a=\frac{420}{2}\\a=210[/tex]

A random number generator generates numbers from 1 to 10. What is the probability that the number generator generates a 3 ?

Answers

Answer:

1/10

Step-by-step explanation:

the probability is that it will be 1/10

15 POINTS!!!! Can someone simplify this as much as possible? ty!

245 = 50 + 1s

Answers

Step-by-step explanation:

245=50+1s. /-50

195=1s

s=195

On a map, the scale is 1 inch = 40 miles. What is the actual distance for 3.25 inches shown on the map?

Answers

Answer:

130 Miles

Step-by-step explanation:

Help me please ill mark you brainly

Answers

Answer:

The first one is -6x The second one is 18a to the power 3

Step-by-step explanation:

The measure of an angle is 68.2°. What is the measure of its supplementary angle?​

Answers

Answer:

x = 111.8°

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees. Let x be the supplementary angle:

[tex]68.2+x=180\\x=111.8[/tex]

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