60 people attend a game night. Everyone chooses to play chess, a two-player game, or cribbage, a four-player game. All 60 people are playing either chess or cribbage.

There are 3 more games of cribbage being played than games of chess being played. How many of each game are being played

Answers

Answer 1

Answer: 8 chess matches and 11 cribbage matches.

Step-by-step explanation:

60 people, 4 people play a match of cribbage, so if theres 3 more  matched than chess we can subtract that from the total 60 to get the answer. 3x4=12 60-12=48, 2 people per chess game and 4 people per cribbage game add them 6, 48 divided by 6 since its an even amount now, 48/6=8 add 8 matched to the remaining 3 for the cribbage.

Answer 2

8 chess games are being played while 11 cribbage games are being played.

Let x represent the number of chess games and y represent the number of cribbage games.

Since there are 60 people, chess is a two-player game and cribbage is a four-player game, hence:

2x + 4y = 60  (1)

There are 3 more games of cribbage than games of chess, hence:

y = x + 3

-x + y = 3    (2)

Solving equations 1 and 2 simultaneously gives:

x = 8, y = 11

Therefore 8 chess games are being played while 11 cribbage games are being played.

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Related Questions

what is 1/4 as a negative exponent ​

Answers

Answer:

1/4 = 1/2² = 2^-2

Step-by-step explanation:

1/4 can be expressed as a negative exponent is 4⁻¹

What is the negative exponent rule?

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x⁻³, it actually stands for 1/x³

Given here, 1/4 thus it can be expressed as 4⁻¹

Hence, 1/4 can be expressed as a negative exponent is 4⁻¹

Learn more about exponents here:

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What times 4 equals -384

Answers

Answer:

-96

Step-by-step explanation:

-384 divided by 4 = -96

hope this helped!!

Answer:

-96

Step-by-step explanation:

If we use the "classic math" and do this like -394/4

we would get -96.

Or we can use a calculator and type -384 / 4 and get the same answer -96 (or unless you did your math incorrect)

High Hopes^^

Barry-

Developing Proof Complete this paragraph proof of Theorem 3-6. If two lines and a transversal form supplementary same-side interior angles, then the two lines are parallel. Given: 21 and 22 are supplementary. C Prove: € || m Proof: 22 is a supplement of a. *? and 23 is a supplement of b. ?.Since supplements of the same angle are congruent, c. ? = d.? , Since 22 and 23 are also corresponding angles, é || m by the e. ? Postulate. 3 2 6.​

Answers

Answer:

Step-by-step explanation:

Given:

∠1 and ∠2 are supplementary.

To prove:

l║m

Proof:

∠2 is a supplement of a. ∠1 (Given)

3 is a supplement of b. ∠1 [Linear pair of angles are supplementary]

Since supplements of the same angle are congruent,

c. ∠1 d. ∠2

Since ∠2 and ∠3 are also corresponding angles, l║m by the converse of same side interior angles postulate.

Please help me immediately I’m very stuck

Answers

Answer:

D

Step-by-step explanation:

because you want to find the sum of the amount.

Booster club sell tickets to Saturday's basketball tournament admission with student ID was two dollars per person regular admission is five dollars the booster club sold 120 student tickets and 50 regular tickets how much money did the booster club click show all the work necessary to justify your answer

Answers

Answer:

170 Tickets were sold and 490$ was made

Step-by-step explanation:

to find how many tickets were sold add 120 + 50 to get 170

For how much they made Multiply 120 X 2 to get 240

Then, Multiply 5 x 50 to get 250

Add 240 + 250 and your answer will be 490$

PLEASE HELPP!!!!!!!!

Answers

Answer:

2800, 320

350, 40

2800+320+350+40=3510

Step-by-step explanation:

(40*70)+(40*8)+(5*70)+(5*8)

3
10. -16 - 7(2a + 3) = 23 - 2a

Answers

Answer:

a=-1.5 (lmk if im incorrect)

Step-by-step explanation:

-16 - 7(2a + 3) = 23 - 2a

-16-(14a+21)=23-2a

5-14a=23-2a

5=23+12a

-18=12a

-18/12 is -1.5

a=-1.5

Equation: -16-7(2a+3)=23-2a

Answer: -5

Step by Step Explanation:
-16-7(2a+3)=23-2a distributive prop
-16-14a-21=23-2a add common factors
-37-14a=23-2a add 37 to both sides
-14a=60-2a add 2a to both sides
-12a=60 divide -12 from both sides
a=-5

quadratic equation
4x2 + 6x = 0

Answers

Answer:

x = -4 / 3

Step-by-step explanation:

step 1. simplify 4x2 to 8

8+6x=0

step 2. subtract 8 from both sides.

6x = -8

step 3. divide in both sides by 6.

x = - 8 / 6

step 4. simplify 8/6 to 4/3.

x = -4 / 3

(LOTS OF POINTS)
SOLVE THIS IMAGINARY NUMBER PROBLEM AND *SHOW WORK* PLEASE!

Answers

Answer:

The answer is 8.

Step-by-step explanation:

the answer is 8 because it is

Paul spent 1/4 of his money on food and another 3/10 of his money on soda. If he had 5 dollars to begin, how much money does he have left?

Answers

1/4 x 5 = 1.25
5-1.25 = 3.75
3/10 x 3.75 = 1.125
3.75-1.125 =

$2.625

A square has a diagonal that measures 18 inches. To the nearest tenth, what is the length of one side
of the square?

Answers

Answer:

18/sqrt(2)

Step-by-step explanation:

Divide the square into two congruent right triangles:

a and b are the sides of the triangle

since we know that a=b

then the right triangle is isosceles

meaning that the theorem of the 45-45-90 triangle is applicable

so then we can say that 18/sqrt(2) = a = b

bored hmu on twitter. handle is noclips_EMPTY

Also here is 20 points <3

Answers

Answer:

:)

Step-by-step explanation:

Answer:

nobody uses twitter anymore

Step-by-step explanation:

Match the four kinds of slope with the coordinating conditions

- Positive:
- Negative:
- Undefined:
- Zero:
-------------------------------------------------------------------------------------------
- A Horizontal line
- A Vertical line
- As you move from left to right the line was increasing
- As you move from left to right the line was decreasing

Answers

Answer:

Positive: As you move from left to right the line was increasing    /

- Negative: As you move from left to right the line was decreasing    \

- Undefined: A Vertical line    |

- Zero: A Horizontal line    -

Step-by-step explanation:

:)

Flora made 6 withdrawals of $50 each from her bank account. What was the overall change in her account?

Answers

Answer:

-$300

Hope this helps : )

Answer:

$300 out of account

Step-by-step explanation:

withdrawals are taking out the money

6*50=300

so she takes out 300 dollars from her account

What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?

Answers

Answer:

y = − 6 x + 7

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

help plssssssss! asap

Answers

AB. 54-36=18 CD. 36-20=16 AC. 18+20=38

PLEASE HELPPPP MEEEEEEEE pleaseeee

Answers

-0.5

Step-by-step explanation:

Negative , has low correlation

Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches. Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? Y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36

Answers

Given:

The railing will begin at a height of 36 inches.

Height decreases 9 inches for every 12 horizontal inches.

To find:

The function for this situation.

Solution:

Let y be the height of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs.

Initial height = 36

So, y-intercept is 36.

Height decreases 9 inches for every 12 horizontal inches.  So,

[tex]\text{Slope}=\dfrac{\text{Vertical change}}{\text{Horizontal change}}[/tex]

[tex]m=\dfrac{-9}{12}[/tex]

[tex]m=-\dfrac{3}{4}[/tex]

Slope intercept form of a line is

[tex]y=mx+b[/tex]

Substitute [tex]m=-\dfrac{3}{4}[/tex] and b=36.

[tex]y=-\dfrac{3}{4}x+36[/tex]

The required function is [tex]y=-\dfrac{3}{4}x+36[/tex].

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.

A drawing of the side view of a set of 4 stairs. There are lines drawn to show a railing that is at the highest point of the stairs and labeled 36 inches.

Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs?

y = –StartFraction 3 Over 4 EndFractionx + 36

y = –3x + 36

y = StartFraction 3 Over 4 EndFractionx + 36

y = 3x + 36

HELP PLEASE DUE SOON I NEED HELP FIND THE SLOPE

Answers

Answer:

1/3

Step-by-step explanation:

Hope This Helps!

Rise is 1 and run is -3.

Go to a point where the line crosses perfectly, move one point up and three points to the left and you’ll find another perfectly plotted point.

Good luck, hope this helps! (:

Determine whether the relation is a function.
0
-1
4
5
10
11

Answers

Answer:

I'm not quite sure if this is correct, but If the given values are our X's or the inputs, then yes it would be a function as they're all different numbers.

Why does the government charge high taxes on gasoline?

Answers

Answer:

Every time you top off your vehicle at the pump, you're paying federal and state gas taxes that are included in the price of every gallon of gasoline. The federal tax, at 18.4 cents per gallon, is meant to help the federal government pay to build and fix things like highways and bridges.

Step-by-step explanation:

Mark me brainliest

Answer: These taxes are meant to do two things — raise money to pay for infrastructure and reflect some of the environmental costs of driving. Unlike most taxes, gas taxes are charged as a flat charge per liter, rather than as a percentage of the pump price.

Evaluate f(x) = -3x+3 for x=-2

Answers

Answer:

9

Step-by-step explanation:

-3*-2 is 6+3 is 9

2 negatives equal a positive when multiplying or dividing

The answer fam is.....9

at what position on the number line is the red dot located?

Answers

Answer:

D. Square root of 18

Step-by-step explanation:

The square root of 10 is 3.16.

The square root of 12 is 3.46.

The square root of 24 is 4.90.

The square root of 18 is 4.24.

The red dot is on 4.25 so your answer is the square root of 18.

Will you please mark me brainliest?

Solve the following quadratic equation by using the quadratic formula.

-2x^2 - 3x + 4 = 0

(Answers are in photo)

10 points!!!
please explain how you got your answer.

Answers

Answer:

B. [tex]\frac{-3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

Step-by-step explanation:

First, substitute the equation into the quadratic formula.

[tex]x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}[/tex]

x=[tex]\frac{-3+-\sqrt{(3)^2-4(-2)(4)} }{4}[/tex]

Solve for x.

x= [tex]\frac{-3+-\sqrt{9+32} }{4}[/tex]

x=[tex]\frac{-3+-\sqrt{41} }{4}[/tex]

The answer is x= [tex]-\frac{3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]

1/6+3/4 what is the answer

Answers

answer would be 11/12!

Answer:

11/12

Step-by-step explanation:

The Learning Center charges a one-time fee of $26 plus $10 per piano lesson. Guitar lessons have a one-time fee of $36 plus $8 for each lesson. After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar

Answers

Given :

The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.

Guitar lessons have a one-time fee of $36 plus $8 for each lesson.

To Find :

After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.

Solution :

Mathematical expression of piano lesson :

[tex]P_1=26+10x[/tex]

Mathematical expression of guitar lesson :

[tex]P_2=36+8y[/tex]

( Here, x and y are number of lessons )

Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.

Now, given constraint :

[tex]P_1 \geq P_2\\\\26+10t \geq 36+8t\\\\2t \geq 10\\\\t\geq 5[/tex]

Hence, this is the required solution.

which is bigger 7/9 or 5/6​

Answers

Answer:

5/6

Step-by-step explanation:

7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9

5/6 is greater than 7/9

What is a fraction?

A common fraction is a numeral which represents a rational number. For example 2/3

Given here, 7/9 and  5/6 now 7/9 = 0.777 and 5/6= 0.833

Thus clearly 5/6 >7/9

Hence, 5/6 is greater than 7/9

Learn more about fractions here:

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What Is the value of x?

Answers

Answer:

idk

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

a and c are the same angles so 73+73=146

then you subtract 180-146=34 and 5 times 6 is 30 then plus 4 and get 34

therefore x=34 degrese

A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),
find the measure of A

Answers

Answer:

[tex]\angle A=17\textdegree[/tex]

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

[tex]\angle A+\angle B=90[/tex]

Since we know their equations, substitute:

[tex](x+8)+(8x+1)=90[/tex]

Solve for x. Combine like terms on the left:

[tex]9x+9=90[/tex]

Subtract 9 from both sides:

[tex]9x=81[/tex]

Divide both sides by 9:

[tex]x=9[/tex]

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

[tex]\angle A=x+8[/tex]

Substitute 9 for x:

[tex]\angle A=9+8[/tex]

Add:

[tex]\angle A=17\textdegree[/tex]

So, the measure of A is 17°.

This diagram is a straightedge and compass construction of a line perpendicular to line AB passing through point C. Explain why it was helpful to construct point D

Answers

Answer:

it is helpful to constuct d because it makes the graph easier to understand

Step-by-step explanation:

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