3. You have spent a total of $440 total on your gym membership so far. If the gym charges a
monthly membership fee of $30 and a sign-up fee of $50, how many months have you gone to
the gym for?

==========================================

Explanation:

AB is a diameter of the circle with point O in the center. This makes angle AOB to be 180 degrees. Consequently, arc ADB makes up 180 degrees of a full 360 degree circle (ie it makes up half of the circle since 180/360 = 1/2)

We're told that arc ADB is 15pi units long. Since arc ADB makes up half the circle, the full circle must therefore be 2*15pi = 30pi. This is the circumference.

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

We're also told that angle COB is 60 degrees. Let's find angle COA

(angleCOA) + (angleCOB) = 180

angleCOA = 180-(angleCOB)

angleCOA = 180-60

angleCOA = 120

Angle COA is 120 degrees

This makes up 120/360 = 1/3 of the full circle

So (1/3)*(circumference) = (1/3)*(30pi) = 10pi is the arc length of AC where we take the shorter path from A to C along the circle's edge.

Answer:

AC = 10π

Step-by-step explanation:

Consider arc ADB with length 15π

ADB = circumference of circle × fraction of circle , that is

2πr × [tex]\frac{180}{360}[/tex] = 15π

2πr × [tex]\frac{1}{2}[/tex] = 15π

πr = 15π ( divide both sides by π )

r = 15

∠ AOC = 180° - 60° = 120° ( adjacent angle to 60° )

Thus

AC = 2πr × [tex]\frac{120}{360}[/tex]

     = 2π × 15 × [tex]\frac{1}{3}[/tex]

     = 30π × [tex]\frac{1}{3}[/tex]

     = 10π

Answer:

It seems like it.

Step-by-step explanation:

Have a good day!

Answer:

f(-2x+1)=-x -1/2

Step-by-step explanation:

f(-2x+1)= 1/2 * ( -2x + 1 ) - 1

f(-2x+1)=-x + 1/2 - 1

f(-2x+1)=-x -1/2

Answer:

1, 2, 23, 46

Hope I helped!

Answer:

[tex]factors \: of \: 46. \\ 1 \\ 2 \\ 23 \\ 46[/tex]

[tex]hope \: this \: helps...[/tex]

Answer:

5

Step-by-step explanation:

Answer:

-1 3/6 or -1 1/2

Step-by-step explanation:

-4-5=-9

2--4=6

-9/6= -1 3/6

Answer:

It will travel 213.2 miles.

Step-by-step explanation:

Multiply 41 by 5.2

There are 213.2 miles a car travel with an average of 41 mph in 5.2 hours.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An average speed of a car = 41 mph

And, Time taken by car = 5.2 hours

We know that;

⇒ Speed = Distance / Time

Substitute all the values, we get;

⇒ 41 = Distance / 5.2

⇒ Distance = 41 × 5.2

⇒ Distance = 213.2 miles

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

[tex]2a^2 + 2b^2 - ab[/tex] [tex]= 8[/tex]

Step-by-step explanation:

Given

[tex]2a^2 + 2b^2 - ab[/tex]

Required

Evaluate when [tex]a=2\ and\ b=1[/tex]

To do this, we simply substitute 2 for a and 1 for b in [tex]2a^2 + 2b^2 - ab[/tex]

[tex]2(2)^2 + 2(1)^2 - 2 * 1[/tex]

[tex]2*4 + 2*1 - 2 * 1[/tex]

[tex]8 + 2 - 2[/tex]

[tex]8[/tex]

Hence:

[tex]2a^2 + 2b^2 - ab[/tex] [tex]= 8[/tex]

when [tex]a=2\ and\ b=1[/tex]

The perimeter of a shape is when you add up all the sides. I used a calculator to add up all the numbers. The images shows three different forms.

Hope this helps! :)

Answer:

32

Step-by-step explanation:

1. find f(3) = 2x + 5

a) y = 2(3) + 5

b) y = 6 + 5

c) y = 11

2. find g(2) = 3x² + 2x + 5

a) y = 3(2)² + 2(2) + 5

b) y = 3(4) + 4 + 5

c) y = 12 + 4 + 5

d) y = 21

3. add f(3) + g(2)

a) 11 + 21

b) = 32

Answer:

m=-4 slope is -4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Combine the fractions by finding a common denominator (A denominator shared by two or more fractions.)

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

i hope this helped! :]

Answer:

Step-by-step explanation:

7*800=5600

7*8*100= 5600

56*100=5600

Answer:

Nope!

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

go up by 1 on x axis and down by 1 on y axis till you get to 8 on the x axis and the number on the y axis will be -3.

Answer:

The number points with that lie strictly in the interior of the square are 25 points

Step-by-step explanation:

The vertices of the square are; , (3, 3), (-3, 3), (-3, -3) and (3, -3)

From the attached diagram of the square created with Microsoft Word, where one box is equal to one unit, the number of points with integer coordinates that lie strictly in the interior of the square are given by the number of intersecting grid lines

The number of points on the interior of the square = 25 points

The points includes;

(-2, 2), (-1, 2), (0, 2), (1, 2), (2, 2)

(-2, 1), (-1, 1), (0, 1), (1, 1), (2, 1)

(-2, 0), (-1, 0), (0, 0), (1, 0), (2, 0)

(-2, -1), (-1, -1), (0, -1), (1, -1), (2, -1)

(-2, -2), (-1, -2), (0, -2), (1, -2), (2, -2).

Answer:

Lon's Lawns

Step-by-step explanation:

32X9=288

25X10+50=300

Answer:

30 and 33 years

Step-by-step explanation:

Let Lara be x years

Cam =x+3

x+x+3=63

2x+3=63

2x=63-3

2x=60

x=60/2

x=30

Lara=30years and Cam =30+3+33years

Answer:

Lara 30 years, Cam 33 years

Step-by-step explanation:

denote x being the age of Lara

denote y being the age of Cam

Cam is 3 years older than Lara, so

y = x + 3

their combined age is 63 so

x + y = 63.

solving can be done by plugging in y = x+3, then

x + (x+3) = 63, which gives x = 30.

So Lara is 30 years.

Cam is 3 years older, so Cam is 33 years

Answer:

yes it is a rational number

Answer: it would be 77 megabytes

The centroid (the point where the medians meet) divide each median into parts with lengths in a ratio of 2:1. This means 7x + 1 is twice the length of 3x + 4, or

7x + 1 = 2 (3x + 4)

Solve for x :

7x + 1 = 6x + 8

7x - 6x = 8 - 1

x = 7

Then XE has length

XE = 4•7 - 2 = 28 - 2 = 26

FX is twice this length, so

FX = 2•26 = 52

and so FE has length

FE = FX + XE = 52 + 26 = 78

Answer:1.10x

Step-by-step explanation:

C

Answer:

it 31 for sure but if not that than some thing is wrong

Step-by-step explanation:

15+12+4=31

-The polynomial has 5 terms.

-The leading coefficient is -2.

-The degree of the polynomial is 7.

-The constant term is 4.

Step-by-step explanation:

A polynomial is an expression which has many terms. Each term is separated by addition or subtraction. The standard form of a polynomial is and is written in descending order by exponent. The highest exponent is known as the degree of the polynomial. The leading term at the beginning has a leading coefficient.

Using the information above, select what applies for -2xy^5+3x^7-10x^3y^6+8x^6+4.

-The polynomial has 5 terms.

-The leading coefficient is -2.

-The degree of the polynomial is 7.

-The constant term is 4.

-The polynomial is in decreasing degree order.

Answer:

(3,-2) D

all points are put into parenthesis in the form of (x,y)

Step-by-step explanation:

Answer:

(3,-2)D

Step-by-step explanation:

x axis before y axis