A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could
possibly receive the tickets?
OA. 13
OB. 40
C.
56
D.
64

9514 1404 393

Answer:

  4.41

Step-by-step explanation:

The sides of interest in this right triangle are the hypotenuse and the side adjacent to the given angle. The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(25°) = 4/AB

Multiplying by AB and dividing by cos(25°), we get ...

  AB = 4/cos(25°)

  AB ≈ 4.41 . . . . units

Using arithmetic progression, number of logs in 6th row are 33.

We can use the information that each row has 5 fewer logs than the row below it to create a sequence of the number of logs in each row. Let's call the number of logs in the first row "a" (which we know is 58 logs). Then, the number of logs in the second row will be "a - 5", the number of logs in the third row will be "(a - 5) - 5" or "a - 10", and so on.

So, we have the sequence of the number of logs in each row as:

a, a - 5, a - 10, a - 15, a - 20, ...

To find the number of logs in the 6th row, we need to find the 6th term in this sequence. We can use the formula for the nth term of an arithmetic sequence:

an = a₁ + (n - 1)d

where an is the nth term, a1 is the first term, n is the number of the term we want to find, and d is the common difference between terms (which is -5 in this case, since each row has 5 fewer logs than the row below it).

Substituting the given values, we get:

a₆ = a₁ + (6 - 1)(-5)

= a - 25

So, the number of logs in the 6th row is a - 25. Since we know that a is 58 logs, we can substitute and simplify:

a - 25 = 58 - 25 = 33

Therefore, the answer is (b) 33.

To learn more about arithmetic progression from given link

https://brainly.com/question/6561461

#SPJ1

Answer:

$400

Step-by-step explanation:

Lets money that Anthea got be 2x

than Barry's money be 5x and Carol's be x

Barry got $200 more than Carol

This means that 5x is 200 more than x

5x = x + 200

4x = 200

x = 50

The sum of money is 2x + 5x + x

so this is 8x

8x = 50 * 8 = 400

Answer:

12

Step-by-step explanation:

2 of, 50 pence, = 1 pound. So multiply 6 by 2, you get 12. Your answer should be 12.

Hope this helps!

Maybe brainliest?

Answer:

15% off

Step-by-step explanation:

mark brainliest please

a) There may be 512 sandwiches produced at once.

b) 11 condiments are the bare minimum needed to create at least 2000 distinct sandwich options.

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality.

When resolving an inequality, you can do one of the following: • Add the same amount to each side;  Subtract the same amount from each side; • Multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide either side by a negative number.

Considering that there are 9 different condiments to pick from

Using the relation, one may determine how many different ways there are to arrange n items in a list.

Here, n = 9

As a result, there may be created the following number of sandwiches:

The bare minimum of condiments needed to give at least 2000 distinct sandwich options is:

In order to do this,

n = 11

Since the inequality is satisfied by 211, the number of condiments required to provide at least 2000 distinct sandwiches is 11.

To learn more about inequalities, click the following link:-

https://brainly.com/question/24372553

#SPJ1

Answer:

\(-\frac{3}{10}\)

Step-by-step explanation:

I hope this helps!

Answer:

-0.75 x 0.4= -0.3 or -3/10

Step-by-step explanation:

-3/4 translates to -0.75 and 2/5 translates to 0.4

Answer:

Step-by-step explanation:

Find the area of a circle with a diameter of 10 ft.

Area of a Circle  

A = π × r²

r = diameter : 2

10 : 2 = 5 ft (radius)

A = π × 5²

A = 3.14 * 25

A = 78.5 ft²

Given that,

An equation : -9c² +2c +3 = 0

To find,

Find the value of x.

Solution,

We have, -9c² +2c +3 = 0

We can solve it using the formula as follows :

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Here, a = -9, b = 2 and c =3

Put the values,

\(c=\dfrac{-2\pm \sqrt{(2)^2-4(-9)(3)}}{2(-9)}\\\\c=\dfrac{-2+\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}, \dfrac{-2-\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}\\\\c=-0.47, 0.69\)

So, the solution are -0.47 and 0.69.

false is the answer of that Q

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Answer:

it's 2 because they went from earth to mars

The length of BC is 40 units

What is isosceles triangle?

An isosceles triangle is one that has two sides of equal length.

The angles opposite to equal sides are equal.

AB=x+17 units

BC=2x-6 units

We were given that the triangle is an isosceles triangle.

This means that these two sides are equal.

We therefore form the equation below and solve for the value of x.

x+17 = 2x-6

x-2x= -6-17

x=23

We substitute this value into the expression for side BC to get ,

BC=2(23)-6

BC=40 units

To learn more about the isosceles triangle from the given link

https://brainly.com/question/25812711

#SPJ1

Answer:

7=thousands

7=hundreds

4=tens

2=ones

Hope this helps

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus \(\frac{8}{32}\) equals \(\frac{24}{32}\) which simplifies to \(\frac{3}{4}\) or 75%.

Answer:

a=9

b=9

c=18

Step-by-step explanation:

c(a+b)+a+b=36

2a+2b=36

a+b=18

c=18

Answer:

2

Step-by-step explanation:

4-2=2 take four cows,then sell two of them you will remain with two

The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

We have,

We can simplify the given expression as follows:

(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)

= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)

[distributing the factors]

= (5X - 5Y) /8 - 1/(4X + 4Y)

[finding a common denominator]

= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)

= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)

= (20X² - 20Y² - 1) / (4X + 4Y)

Therefore,

The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer: x=±2/3

Step-by-step explanation:

The first thing we want to do is isolate the variable, x² in this case.

We can divide both sides by 9 which yields the equation x²=\(\frac{4}{9}\).

Then we can take the square root of both sides, x=2/3.

Note: When the exponent is an even number both positive and negative x values will yield the same positive answer, so x=±2/3

Answer:

1.8

Step-by-step explanation:

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer: point B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Absolute value negates positive or negative values, therefore the larger number wins (e.g |6|=6, |-7|=7)

I hope this helps and good luck!

The required 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.

Find the critical value (t*) for a 95% confidence level and (n - 1) degrees of freedom.

The degrees of freedom (df) is equal to the sample size minus 1 (df = 7 - 1 = 6). From a t-table or statistical software, the critical value for a 95% confidence level and df = 6 is approximately 2.447.

Calculate the standard error of the mean (SE).

The standard error of the mean is given by SE = (sample standard deviation) / sqrt(sample size).

\(SE =\dfrac{41.96}{\sqrt{7}}\)

   ≈ 15.85

Calculate the margin of error (MoE).

The margin of error is MoE = (t*) * SE.

MoE ≈ 2.447 * 15.85
        ≈ 38.78

Calculate the confidence interval.

The confidence interval is given by: Mean ± MoE.

Mean ± MoE ≈ 306.07 ± 38.78

Calculate the lower and upper bounds of the confidence interval.

Lower bound ≈ 306.07 - 38.78
                       = 267.29

Upper bound ≈ 306.07 + 38.78
                       = 344.85

Therefore, the 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.

Learn more about confidence intervals here:

https://brainly.com/question/34594423

#SPJ12

Solve

The solution to the multiplications is 3

Answer:

Please help me important question in image

Please help me important question in image

Please help me important question in image

Step-by-step explanation:

Please help me important question Please help me important question in image

in image

Please help me iPlease help me important question in image

Please help me important question in image

mportant question in image

Please help me important question in image

The estimate of the sum of the points is 47/45

From the question, we have the following parameters that can be used in our computation:

Points = 6/10 and 4/9

Using the given number line (see attachment), we have the sum expression to be

Sum = 6/10 + 4/9

Evaluate the sum

So, we have the following representation

Sum = 94/90

Simplify

Sum = 47/45

Hence, the sum of the points is 47/45

Read more about number line at

brainly.com/question/24644930

#SPJ1

Answer:

t = -216

Step-by-step explanation:

-8 = t/27

Multiply both sides by 27

-216 = t

a) The crew has been paving the road for 8 days

b) The crew has 85 miles left to pave after 13 days

The function representing the length, L (In miles), that is left to be paved

after D days is given as:

L(D) = 202 - 9D

a) If 130 miles of the road is left to be paved

L(D) = 130

Substitute L(D) = 130 into the equation L(D) = 202 - 9D and solve for D

130 = 202 - 9D

9D = 202 - 130

9D = 72

D = 72/9

D = 8

The crew has been paving the road for 8 days

b) The number of miles the crew have left to pave after 13 days

D = 13

L(D) = 202 - 9D

L(13) = 202 - 9(13)

L(13) = 85

The crew has 85 miles left to pave after 13 days 2