Mary wants to join a gym.
Gym A: 25.00 joining fee and a 50.00 monthly charge.
Gym B: No joining fee and a 55.00 monthly charge.
Enter the total number of months it will take for the total cost of the gyms to be equal.

Using the Fundamental Counting Theorem, it is found that there are 416,520 ways to fill out a lottery ticket.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Then:

[tex]N = n_1n_2n_3 = 52(90)(89) = 416520[/tex]

There are 416,520 ways to fill out a lottery ticket.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866

Answers:

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Explanation for problem 1

Divide each term over its previous term.

We can stop here. The two results 0.8 and 0.75 do not match up, so we don't have a common ratio. Therefore, this sequence is not geometric. A geometric sequence must have each ratio of adjacent terms to be the same value throughout the list of numbers.

Side note: This sequence is arithmetic because we are subtracting the same amount each time (12) to generate each new term.

--------------------------------------

Explanation for problem 2

Like before, we'll divide each term by its previous term.

Each ratio found was 2. This is the common ratio and it shows we have a geometric sequence. It indicates that each term is twice that of its previous term. Eg: the jump from 12 to 24 is "times 2".

Answer:

The answer would be D. 5

Step-by-step explanation:

Answer: D. 5

Step-by-step explanation: i did the test

Remember: SOH-CAH-TOA

Sine (of an angle!) = opposite / hypotenuse

We're looking at angle M here, to find the sine of M. Looking from angle M, the side that is opposite is NO and the hypotenuse is MO.

sin(M) = NO / MO = NO / 13

We do not know NO, but we can use the Pythagorean theorem to find NO because this is a right triangle.

Pythagorean theorem: a^2 + b^2 = c^2

---a and b are legs of the triangle, c is the hypotenuse

12^2 + b^2 = 13^2

144 + b^2 = 169

b^2 = 25

b = 5

NO = 5

sin(M) = NO / MO = 5 / 13

Answer: sin(M) = 5 / 13

Hope this helps!

Answer:

There are 70 total boys and 20 more boys than girls

Step-by-step explanation:

If the ratio is 7:5, and there are 50 girls, this means that there are 70 boys. And of course, 70-50=20.

Answer:

There are 20 more boys than girls.

Step-by-step explanation:

The ratio of girls two boys in the soccer team is 7 to 5.

We know that there are 50 girls.  

The ratio represents the girls as 5.

50 divided by 5 is 10.

This would mean that amount of boys will be 7 x 10.

7 * 10 equals 70.

50 - 70 equals 20.

There are 20 more boys than girls.

Hope this helps.

Answer:

Type the expression that results from the following series of steps: Start with y, add 7, multiply by 3, then subtract 6.​

Compare the prime factorizations:

25 • 5 • 11 = 5² • 5 • 11 = 5³ • 11

23 • 52 • 7 = 23 • (2² • 13) • 7 = 2² • 7 • 13 • 23

Clearly these products have no common prime factors, so their GCF is 1.

But I'm guessing this a multiple choice question, and the numbers you listed are already prime factorizations. In that case, we have

2⁵ • 5 • 11 = 2³ • 2² • 5 • 11

2³ • 5² • 7 = 2³ • 5 • 5 • 7

with the common factors underlined, so that the GCF is 2³ • 5.

Answer:

2077.875

Step-by-step explanation:

Answer:

Midpoint (1/2, -5/2)

Step-by-step explanation:

To find a midpoint, add the x's of the endpoints and divide by 2. Then add the y's and divide by 2.

C(-3, -4)

D(4, -1)

Midpoint:

( x+x /2 , y+y /2 )

( -3+4 /2 , -4+-1 /2 )

( 1/2, -5/2)

Answer:

1st, 4th, and 6th one

Step-by-step explanation:

Answer:

A, D, and F

Step-by-step explanation:

I just took the test.

Have the day you deserve :)

Answer:

25508

Step-by-step explanation:

Answer:

25508

Step-by-step explanation:

100 x 256 - 468 + 376

100 x 256 = 25600

25600-468= 25132

25132+376 = 25508

Answer:

75

Step-by-step explanation:

The range is (0-5) and the mean is 2.1.

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Given

Summer Camp Attendance 3, 1 ,0 ,4 ,1 ,4, 2, 3, 0, 5, 0, 1, 1, 2 , 0, 4, 1, 4, 4, 2, 3, 2, 0, 1, 4.

The range of the values for the sample means.

Range = Minimum to Maximum

Range = [0 and 5]

Mean is given by

[tex]\rm Mean = \dfrac{sum\ of\ the\ observation}{number\ of\ the\ observation}[/tex]

Then the mean will be

[tex]\rm Mean = \dfrac{ 3+1+4+1+4+2+3+5+1+1+2+4+1+4+4+2+3+1+4 }{25}\\\\Mean = \dfrac{52}{25}\\\\Mean = 2.08 \approx 2.1[/tex]

Thus the range is (0-5) and the mean is 2.1.

More about the mean link is given below.

https://brainly.com/question/12322912

Answer:

Step-by-step explanation:

2 on edge

Answer:

the y-intercept is -4 and the x-intercepts are -2 and 2

Answer:

21

Step-by-step explanation:

<SRQ=90°

<SQR=48°

<PSQ=90+48

=138° {exterior angle is equal to the sum of the opposite interior angles}

<RPQ= 180-(138+2a)

where a is angle Q and P

2a=180-138

2a=42

a=21°

Kindly follow me

Answer:

B. 20x^4-39x^3+26x^2-6x

Step-by-step explanation:

(5x^2-6x+2)*(4x^2-3x)

20x^4 -15x^3 -24x^3 + 18 x^2 +8x^2 - 6x

20x^4 -39x^3 + 26x^2  - 6x

It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the temperature of the metal bar after x seconds, hence:

Since the metal bar has an initial temperature of 30°C, hence:

b = 30, also m = 1°C (increase), The equation becomes:

y = 1(x) + 30 = x + 30

To reach 70°C:

70 = x + 30

x = 40 seconds

To reach 74°C:

74 = x + 30

x = 44 seconds

It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

5000+500+10+3=5500+13=5513

Step-by-step explanation:

Answer:

5.515x10³

Step-by-step explanation:

first we abb them together and we get 5513

Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ )  = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

m = [tex]\frac{2-4}{2-1}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line

Answer:

the height of (my favorite animal if i might add) an adult male elephant can grow up to 16-20 feet while the females grow up to 7 feet

Step-by-step explanation:

Answer:

This is a statistical question

Step-by-step explanation:

A statistical question gives you an answer that just contains one number.

Example of statistical question: How old are you?

Since this question can be answered without varying data, this is a non-statistical question.

Example of statistical question: How old are the students in your school?

Since this question requires a lot of varying data, this is a statistical question.

So finally, in your case, "How heavy are elephants?", this is a statisical question because it is asking about more than 1 elephant.

Answer:

(p-3)(p+14)

Step-by-step explanation:

factors of 42:

1 x 42

2 x 21

3 x 14

6 x 7

The only pair that would work are -3 and 14

In the elimination method, one variable is eliminated from the system of equations to find the value of the other.

To create the opposite terms of the x-variable-

To solve the system of equations and find the value of the variables, the elimination method is used.

In this method, one variable is eliminated from the system of equations to find the value of the other.

Given information-

The system of the equation given in the problem is,

[tex]\rm 3x-\dfrac{1}{4}y=15[/tex]

The second equation given in the problem is;

[tex]\rm \dfrac{2}{3}x-\dfrac{1}{6}y=6[/tex]

To eliminate the x term, make the coefficient of x of both equations equal.

It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.

The first equation is multiplied by;

[tex]\rm 4\times 3x-4\times \dfrac{1}{4}y=15\times 4\\\\12x-y=50[/tex]

The second equation is multiplied by;

[tex]\rm -6 \times \dfrac{2}{3}x- -6 \times\dfrac{1}{6}y= -6 \times6\\\\-4x-y=-36\\\\4x+y=36[/tex]

Hence, to create the opposite terms of the x-variable-

The first equation is multiplied by the number 4.

The second equation is multiplied by the number -6.

Learn more about the elimination method here;

brainly.com/question/7013345

Answer:

4, -6

Step-by-step explanation:

15/4 divided by 5/8 = 6/1 = 6

Answer:

Solve for x.

2x2=72

−6 and 6

−8 ​ and 8​

−18 ​ and 18​

−36 ​ and 36

your answer would be -6 and 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

i ASSUME THE QUESTION IS TO DETERMINE Y?  

Rearrange the equation  to y = 2x - 1 and solve for each value of x

X  Y

-4  -9

-3  -7

-2  -5

1   1

0  -1

Answer:

33

Step-by-step explanation:

Answer:

b= (-6,-7)

c= (-6,-2)

d= (0,-2)

e= (4,-7)

Step-by-step explanation: