Jonas has a deck of 40 cards. After giving each player in the game an equal number of cards, he has four cards left over, which is not enough to give each player another card. How many players could be in the game?

Given:

The system of equation is

[tex]2x+y=8[/tex]

[tex]x-y=10[/tex]

To find:

The value of the system determinant.

Solution:

If two equations of a system of equations are [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex], then the system determinant is

[tex]D=\left|\begin{matrix}a_1&b_1\\a_2&b_2\end{matrix}\right|[/tex]

[tex]D=a_1b_2-b_1a_2[/tex]

The given two equations are [tex]2x+y=8[/tex] and [tex]x-y=10[/tex].

Here, [tex]a_1=2,b_1=1,c_1=8, a_2=1,b_2=-1,c_2=10[/tex].

[tex]D=\left|\begin{matrix}2&1\\1&-1\end{matrix}\right|[/tex]

[tex]D=(2)(-1)-(1)(1)[/tex]

[tex]D=-2-1[/tex]

[tex]D=-3[/tex]

The value of the system determinant is -3. Therefore, the correct option is C.

Answer:

-3

Step-by-step explanation:

2x+-3=8

x-3=10

Answer:

Ranger station 2 is closer by 3.47 miles

Step-by-step explanation:

tan(46)=O/9.8

O (ranger station 2 to distress call)=10.15 miles

sin(46)=9.8/H

H (ranger station 1 to distress call)=13.62 miles

13.62-10.15=3.47 miles

So, ranger station 2 is closer by 3.47 miles

Answer:

455

Step-by-step explanation:

I answered first, but forgot to answer here.

Answer: 16 different ways

Step-by-step explanation:

Answer:

try this

Step-by-step explanation:

1/2 (p/11)

slash is the dividing sign

Answer:

( p ÷ 11) ÷ 2

Or

1/2 (p ÷ 11)

Step-by-step explanation:

Half the quotient of p and 11

"the quotient of p and 11" signifies that you have to divide p by 11. And "half the.." signifies that you have to divide the quotient of p/11 in half

Answer:

I hope that is useful for you :)

Step-by-step explanation:

[tex]15 - 1.5y + 7.5 - 7.5 \\ 15 - 1.5y \\ 1.5(10 - y)[/tex]

Step-by-step explanation:

jJJshzysyqvsudishw wjs87eye

Answer:

i think the answer is 265.25

Step-by-step explanation:

because there are 12 months in a year so 3,183 ÷ 12 = 265.25

Since you said they are supplementary, 3x+20+x+50=180

Since the definition of supplementary angles are they adds up to 180 degrees.

Now we just need to solve the equation

4x+70=180

4x=110

x=27.5

Answer:

The first question tan(24) = x/12 because tan(x) = opposite/adjacent

so x in radians ≈ -25.618....

x in degrees ≈ 5.342....

For the second question tan(72) = x/20

x in radians ≈ -5.248....

x in degrees ≈ 61.553....

Answer:

for first one

relationship between base and perpendicular is given by tan angle

tan24=p/b

tan24=x/12

x=tan24×12=5.34

Step-by-step explanation:

for second one

relationship between base and perpendicular is given by tan angle

tan72=x/20

x=tan72×20=61.55

Answer:

$4400

Step-by-step explanation:

I=PRT

I=(2000)(8%)(15)

I=4400

Answer:

x is infinite

Step-by-step explanation:

-6x+7=2x+10-8x-3

reduce:

-6x+7=7-6x

7-6x = 7-6x

x = x

x is infinite

Answer:

58 minutes

Step-by-step explanation:

Please brainliest me

There are 11 minutes more time to spend doing English homework.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

If you spent 58 minutes doing English homework and 47 minutes doing math homework.

Now,

Since, The time for doing English homework = 58 minutes

And, The time for doing Math homework = 47 minutes

So, The time more to spend doing English homework = 58 - 47

                                                                                   = 11 minutes

Thus, There are 11 minutes more time to spend doing English homework.

Learn more about the subtraction visit:

https://brainly.com/question/28467694

#SPJ5

$13777.00

Step-by-step explanation:

Answer:

x = 4.5

Step-by-step explanation:

By geometric mean theorem:

[tex] {3}^{2} = 2 \times x \\ \\ 9 = 2x \\ \\ x = \frac{9}{2} \\ \\ x = 4.5[/tex]

Answer:

119

Step by Step:

180-112=68, 68+51=119, 180-119=61, 180-61=119

Answer:

i think this is the answer

A. 40.5 secods

Answer:

17 i think

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

x-3=2

x-3=2

 +3  +3

x=5

Answer:

[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Step-by-step explanation:

[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Answer:

Simplified:

This can be further simplified if required

Answer:

1.3

Step-by-step explanation:

first, divide the parentheses:-8/21= -0.380952

second, dived -2/7= -0.285714

now divide both of them   -0.380952 ÷ -0.285714 = 1.3

Answer:

86in²

Step-by-step explanation:

Find the complete question attached

Area of the circle = πr²

Area of the square = L²

Length of the side of the square

r is the radius of the circle

r = L/2 = 20/2 =10in

Given

Length of the side of the circle = 20in

Area of the square = 20²

Area of the square = 400in²

Area of the circle =π(10)²

Area of the circle = 3.14(100)

Area of the circle= 314in²

Amount of plywood left over = 400in²-314in² = 86in²

Step-by-step explanation:

[tex]25 = 13 + 2r \\ 25 - 13 = 2r \\ 12 = 2r \\ \frac{12}{2} = r \\6 = r[/tex]

Answer:

The range for the function y=5-2x is all real numbers, but the numbers corresponding the the domain values of 0, 1, 2, and 3, are 5, 3, 1, -1.

Step-by-step explanation:

Answer:

The probability is 0.341

Step-by-step explanation:

Here, we want to calculate the probability that the student will win exactly one of the two matches

This means that;

If they win on Saturday, they lose on Sunday

or

If they lose on Saturday, they win on sunday

So either of the two scenarios will give that the team will win on either of the two days

Mathematically, we have that;

(0.45 * 0.33) + (0.55 * 0.35)

= 0.1485 + 1925

= 0.341

Answer:

decimal system

..........

Answer:

The answer is B, 6x^2 - 21x + 15

Step-by-step explanation:

= (3x + − 3) (2x + − 5)

= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)

= 6x^2 − 15x − 6x + 15

= 6x^2 − 21x + 15

- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.

Answer:

-2 ≤ x < 5

represents all values of x which the quotient √(x+2) ÷ √(5-x)​ is defined.

Answer:

25 ft 3 in

Step-by-step explanation:

Mr foote deck is 12 ft 6 in wide

It's length is twice its width with additional 3 inches

Therefore the length can be calculated as follows

12 ft 6 in + 12ft 6 in + 3 in

= (12+12)ft (6+6)in + 3 in

= 24+1 3in

= 25 ft 3 in

Hence the length of the deck is 25 ft 3 in