Tom, Brad, Angela, and Mona went to a theater. In how many different ways can they sit on four adjacent seats in a line in the theater?

The number of members going to the tournament is 9(optionC)

Word problem are mathematical problems written and words or sentence. To solve this type of problem we need to interpret the problem into mathematical equation.

Represent the number of members of the club by x and the cost per person be y. The total cost for the trip is $210

therefore 210/x = y equation 1

When 3 students join, the cost per person drops by $5.83

210/(x+3 )= y - 5.83

y = 210/(x+3 )+5.83

210/x = 210/(x+3) + 5.83

multiply all terms by x(x+3)

210(x+3) = 210x + 5.83(x²+9)

210x +630 = 210x + 5.83x²+52.47

630-52.47 = 5.83x²

577.53 = 5.83x²

x²= 577.53/5.83

x² = 99.06

x =✓99.06

x = ± 9.95

since 0.95 is not Up to a person and number of persons is a specific value, then the number of members going for the tournament is 9

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Answer:

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

Therefore, angle M=angle N (adjacent sides of the trapezoid)

[tex](8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}[/tex]

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

Answer:

Solving [tex](13)^2+(b)^2=(18)^2[/tex] we get [tex]\mathbf{b=\sqrt{155},b=-\sqrt{155}}[/tex]

Step-by-step explanation:

13 squared plus b2 equals 18 squared. What is the answer?

We can write it as:

[tex](13)^2+(b)^2=(18)^2[/tex]

Now, solving and find value of b

We know that 13² = 169

and 18² = 324

Putting values:

[tex](13)^2+(b)^2=(18)^2\\169+b^2=324[/tex]

Subtract 169 on both sides

[tex]169+b^2-169=324-169\\b^2=155[/tex]

Now, taking square root on both sides

[tex]\sqrt{b^2}=\sqrt{155}\\b=\pm\sqrt{155}\\b=\sqrt{155},b=-\sqrt{155}[/tex]

So, solving [tex](13)^2+(b)^2=(18)^2[/tex] we get [tex]\mathbf{b=\sqrt{155},b=-\sqrt{155}}[/tex]

Answer:

9/10

Step-by-step explanation:

90%

Answer:

The answer for this question is 9/10

Answer:

99.7% of the sample proportions will fall between 0.133 and 0.307.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 0.22

Standard deviation = 0.029

99.7% of the sample proportions will fall within which of the following intervals?

Within 3 standard deviations of the mean.

Lower end: 0.22 - 3*0.029 = 0.133

Upper end: 0.22 + 3*0.029 = 0.307

99.7% of the sample proportions will fall between 0.133 and 0.307.

Answer:7c +6d +12

Step-by-step explanation:3c + 7 + 12d - 6d + 4c + 5 = ?c + ?d + ?​

                                       3c + 4c  +12d - 6d +7 +5

                                       = 7c +6d +12

You combine like terms which are 3c and 4c which gives you 7c .Next you combine 12d and 6d but this time u need to subtract since it has subtact sign in between 12d and 6d which gives you 6d.After that you combine 7 and 5 which u get 12 .Lastly you put all of the tersm together which are 7c and 6d and 12 which get you 7c +6d +12  as your equivalent expression.

Please give brainliest if it helps :)

Answer:

[tex] \huge \boxed{x = \frac{y}{2} }[/tex]

Answer:

2x=y

Step-by-step explanation:

Since x is half of y, 2x=y

Hope this helps :D

Answer:

Here is the answer.

Step-by-step explanation:

Answer:

3315

Step-by-step explanation:

delta math

In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Then the length of s is 3425.8 cm

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°.

We need to find length of S

From angle sum property the sum of three angles is 180 degrees.

∠S+∠T+∠U=180 degrees

∠S+49°+14°=180°

∠S+63°=180°

∠S=117°

Now use Sine rule

SinU/U=SinS/S

Sin14/900=sin117/S

S=900×Sin 117/sin 14

S=3425.8 cm

Hence,  the length of s is 3425.8 cm

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Answer:

6 times

Step-by-step explanation:

nosw

swno

wsno

nows

snow

wnos

Answer:

A. r²

Step-by-step explanation:

The formula for the area of a circle is π r²,

thus the π is multiplied by the r²

Answer:

The answer is 0.576190476 Estimated.

Step-by-step explanation:

Answer:

0.58 or 0.6

Step-by-step explanation:

0.576

Answer:

176.74 cm^2

Step-by-step explanation:

Area of a circle is πr^2

r= 7.5

π= 3.142

Area=3.142× 7.5^2

= 3.142 × 56.25

= 176.74 cm^2

Hence the area if the circle is 176.74cm^2

Answer:

x=-2

Step-by-step explanation:

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]3[-x+(2x+1)]=x-1[/tex]

[tex]-3x+3(2x+1)]=x-1\\-3x+6x+3=x-1\\3x+3=x-1\\2x+4=x\\2x+4=0\\2x=-4\\x=-2[/tex]

Answer:

c = -24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

6c - 1 - 4c = -49

Step 2: Solve for c

Answer:

the answer is A

Step-by-step explanation:

I just took the test and A was the correct answer

Answer:

5.8

Step-by-step explanation:

c=(square root of 5^2 + 3^2)

Step-by-step explanation:

[tex] = \frac{ {b}^{7} }{ {b}^{4} } [/tex]

[tex] = {b}^{(7 - 4)} [/tex]

[tex] = {b}^{3} [/tex]

Answer:

Only B is linear

Step-by-step explanation:

Answer:

1) 480000

2)500000

3)475000

Step-by-step explanation:

To round it to the nearest 1000 you would find the 1000s digit which is 5 and look at the digit to the right and if it is under 5 than the 1000s digit stays the same and everything to the right turns to a zero so than you can apply that concept to the rest of the problems so you get

1) 480000

2)500000

3)475000

Answer:

We reject H₀ , we found enough evidence to support the claim

Step-by-step explanation:

Sample size   n = 1300

Sample  proportion  p  = 45 %     p  = 0,45   and   q  = 0,55

Proportion of population     p₀   =  42 %    p₀  = 0,42

Hypothesis Test                

Null Hypothesis                            H₀          p  =  0,42

Alternative Hypothesis                Hₐ          P   >  0,42      

A one-tail test to the right is needed to evaluate the claim

Sample size big enough to consider binomial distribution can approximate to normal distribution

1300*p > 10   1300*q > 10

Significance level   α  = 0,02    

z(c) fom  z-table is   z(c) =  2,05

To compute

z(s)  =  ( p  -  p₀ )  /√ (p*q)/n

z(s)  = ( 0,45 - 0,42 ) /√ (0,45*0,55)1300

z(s)  =  0,03 / 0,014

z(s)  =  2,14

Comparing   z(c)  and  z(s)     z(s) > z(c) then  z(s) s in the rejection region we must reject H₀  we found enough evidence to spport the claim

Answer:

2850 employees

Step-by-step explanation:

Given that ,

3 supervisors = 30 employees

1 supervisor = 30/3 employees

285 supervisors = 30 / 3 × 285 employees

285 supervisors = 10 × 285 employees

285 supervisors = 2850 employees( Answer)

I might be wrong but I'm gonna go with

D is my answer

Answer:

17.5%

Step-by-step explanation:

take 25% x 1/2..............

Answer:

C. 3363

Step-by-step explanation:

I calculated logically

Answer:

C

Step-by-step explanation:

Answer:

[tex]k = 8.35[/tex]

Step-by-step explanation:

Given

[tex]Gallons = 4[/tex]

[tex]Weight = 33.4lb[/tex]

Required

Determine the constant of variation (k)

This is calculated by dividing the weight of gallons by the number of gallon.

[tex]k = \frac{Weight}{Gallons}[/tex]

Substitute values for Gallons and Weight

[tex]k = \frac{33.4}{4}[/tex]

[tex]k = 8.35[/tex]

This means that 1 gallon weighs 8.35lb

Answer:

60

Step-by-step explanation:

180-(100+20)=x

x=60