A health club charges an initiation fee of $50. Members then pay $45 per month. You have $400 to spend on a health club membership. For how many months can you afford to be a member? Let n represent the number of months you can pay for a membership.

Answers

Answer 1

Answer:

8 months

Step-by-step explanation:

In this problem we must first of all write the inequality that describes the problem.

Given that

1. you have a limit of $400

2. there is an initial fee of $50

3. monthly payment is $45

let the number of months be n

therefore

[tex]50+45n\leq 400\\\\45n\leq 400-50\\\\45n\leq350[/tex]

Divide both sides by 45 we have

[tex]n\leq \frac{350}{45} \\\\n=\frac{70}{9} \\\\n= 7.77\\\\[/tex]

approximately you are going to be member for 8 months


Related Questions

Select all that apply to the given number.
2/3
Real
Irrational
Rational
Interger
Natural

Answers

Answer:

2/3 can be classified as..

rational

Step-by-step explanation:

It can be classified as a rational number because it can be in the form of p/q as of fraction and is made up of two integers making p the numerator and for q a denominator not involving a zero.

Answer:

real

rational

Step-by-step explanation:

PLS HELP BRAINLIEST 16 POINTS

Answers

ANSWERS (left to right)

r= 28
k= 8
b= -9
g= 7.3333
a= -1
m= 3
k= -2
t= 18
x= -0.5

We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5hd, equals, 5, h. How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? How many centimeters of snow accumulate per hour?

Answers

Answer:

a) 0.2 h

b) 5 cm

Step-by-step explanation:

The given equation is:

[tex] d = 5h [/tex]    (1)

Where:

d: is the depth in centimeters

h: is the time in hours  

a) The hours that takes for 1 cm of snow to accumulate in Harper's yard can be found by solving equation (1) for h and by entering d = 1 cm into the equation:      

[tex]h = \frac{d}{5} = \frac{1}{5} = 0.2 h[/tex]

Hence, it takes 0.2 hours for 1 centimeter of snow to accumulate in Harper's yard.  

 

b) The depth in centimeters of snow accumulate per hour is:  

[tex] d = 5h = 5*1 = 5 cm [/tex]

Therefore, 5 cm of snow accumulates per hour.  

I hope it helps you!

If y = (9,-1) and w = (-1, -6), find the difference V - W.
ū - W =


Please help me asap.

Answers

Answer: < 10, 5 >

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

Let a,b,c,d be scalars.

In general if v and w are two vectors such that

v = <a, b>

w = <c,d>

then the difference of the two vectors is

v - w = <a-c, b-d>

so we subtract the coordinates

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

Using that idea for the given vectors leads to

v = <9, -1>

w = <-1, -6>

v - w = <9 - (-1), -1-(-6)>

v - w = <9+1, -1+6>

v - w = < 10, 5 >

The term "elevation" is often used to describe the height of a place (such as a city, a mountain, or a valley) compared to sea level. For example, the city of Houston, Texas has an elevation of 105 feet. The surface of the sea has an elevation of 0 feet. Some places are below sea level, so their elevations are negative values. Two towns have different elevations, but when the elevations are used as inputs of , they both produce an output of 25. Why do they produce the same output?

Answers

Answer:

obviously they will produce same output because the elevation of object and image will be same

g + 10 = 3g what does this look like in a verbal expression

Answers

"G plus Ten equals Three-G".

or

"The Variable G plus Ten equals Three-G".

The verbal expression is you putting it in the way that you would say the expression.

~

Answer:

The sum of a number and 10 is equal to three times that number.

Step-by-step explanation:

Break the parts down and put them together.

The sum of a number and 10: 'g + 10'

Is equal to: '='

Three times that number: '3g'

So:

The sum of a number and 10 is equal to three times that number: 'g + 10 = 3g'

Hope this helps.

I need help with this please and thank you!

Answers

Answer:  2x^2      -16t

               25t         -20

Step-by-step explanation:

Multiply the corresponding terms to find out which answer belongs in each box. For the top left box you would multiply  5t x 4t = 20t^2. For the top right multiply -4 x 4t = -16t. For bottom left box multiply 5t x 5 = 25t and for the bottom right box multiple -4 x 5 = -20.

Hannah was adding 5 plus -4. When explaining her work she said that the sum is 9 because you add the numbers and take the sign of the larger number. In complete sentences explain what Hannah got wrong. What should the correct answer be?

Answers

Answer:

The sum is 1

Step-by-step explanation:

When you add a negative number to a positive number, it is basically just subtracting the negative from the positive. To make it simple, 5 + -4 is just 5 - 4.

Hannah was wrong in saying you take the sign of the larger number because it would not matter if the first number was a million, the signs don't change based on the size of numbers.

Find an expression which represents the difference when (-2+9y) is subtracted
from (-6x + 4y) in simplest terms.

Answers

Answer:

-6x-5y+2

Step-by-step explanation:

PLEASE HELP I WILL GIVE 20 POINTS TO BRAINLIEST!

Answers

Answer:

[See Below]

Step-by-step explanation:

C.

The solution to this is x ≤ 4.

So then we look at the graphs and choose the correct one.

When the sign is ≤ it's like an arrow whatever way it's pointing it goes that way. In this case it'd go the other way even though the sign is ≤, because the solution is stating 4 is greater then or equal to so it can't be less than 4. And the only option of +4 and higher is C.

Using the Segment Addition Postulate: If AB = 12 and BC = 18, what is AC? a.) 6 b.) 20 c.) 30 d.) 26

Answers

The answer would be 6.


!!!!!!! HELPPPPPP !!!!!! ASAP !!!!!!!!! HELPPPPPP!!!!!!!!!!!!

Answers

Answer:

No you wouldn't because you are not dividing or multiplying by a negative number.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

When you solve the inequality, x is less than or equaled to -26.

Mikkel pays a 4 percent state income tax on his earnings. If he earns $1,867, how much state income tax can he expect to pay? $46.68 $74.68 $466.75 $746.80

Answers

Answer:

$74.68

Step-by-step explanation:

Convert the percent to a decimal.

4% = 0.04

Multiply his income by the percentage to find the tax.

$1,867 × 0.04 = $74.68

He can expect to pay $74.68.

Answer:

B) $74.68

Step-by-step explanation:

I took the test on Edge

Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by the plumbers are listed. Which list shows these lengths in order from greatest to least?

Answers

Answer:

[tex]\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}[/tex]

Step-by-step explanation:

To get the order of the lengths in the order from greatest to least we will make the denominator of the given fractions common and then compare the numerators.

[tex]\frac{3}{25}, \frac{\sqrt{3}}{11}, \frac{9}{100},\frac{\pi }{24}[/tex]

LCM of the denominators,

2 |  25   11    100   24

2 |  25    11     50    12

5 |  25    11     25     6  

5 |    5     11     5      6  

      1      11      1       6

LCM = 2×2×5×5×6×11 = 6600

[tex]\frac{3}{25}=\frac{3}{25}\times \frac{264}{264}[/tex]

   [tex]=\frac{792}{6600}[/tex]

[tex]\frac{\sqrt{3}}{11}=\frac{\sqrt{3} }{11}\times \frac{600}{600}[/tex]

    [tex]=\frac{600\sqrt{3}}{6600}=\frac{1039}{6600}[/tex]

[tex]\frac{9}{100}=\frac{9}{100}\times \frac{66}{66}[/tex]

     [tex]=\frac{594}{6600}[/tex]

[tex]\frac{\pi }{24}=\frac{\pi }{24}\times \frac{275}{275}[/tex]

    [tex]=\frac{275\pi }{6600}[/tex]

    [tex]=\frac{864}{6600}[/tex]

Now we can arrange these fractions in the order of greatest to least.

[tex]\frac{1039}{6600}>\frac{864}{6600}>\frac{792}{6600}>\frac{594}{6600}[/tex]

[tex]\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}[/tex]

Using the Exterior Angle Theorem, solve for the identified angle. WILL MAKE Brainliest!

Answers

Answer:

30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

150 = ?+120

Subtract 120 from each side

150-120 = ?

30 = ?

Answer:

[tex]\huge\boxed{<SUT = 30\ degrees}[/tex]

Step-by-step explanation:

According to exterior angle theorem:

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

< VST = <STU + <SUT

150 = 120 + <SUT

<SUT = 150-120

<SUT = 30 degrees

3x/2+3=x HELP, I have a deadline in 5 minutes!

Answers

I got
1
- — x
3

Hope I was fast enough!!

The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between

Answers

Answer:

9, 10

Step-by-step explanation:

If you enter the square root of 93 on a calculator, the answer is 9.64365076099. This is after 9 but before 10.

Round 13.275 to the nearest hundredth.

Answers

Answer:

13.28

Step-by-step explanation:

The digit in the hundredth place is 7. We see that the digit in the thousandth place, 5, makes the 7 round up to 8.

Answer:

13.28

Step-by-step explanation:

0 to 4 (round down )

5 to 9 (round up)

[tex]13.275 \\ \: 100[/tex]

the number of diagonals that can be drawn in a opolygon of n sides is 1/2n(n-1)-n. If 230 diagonsaals can be drawn how many sides does the polygon have'

Answers

Answer:

n = 20

Step-by-step explanation:

The number of diagonal that can be drawn in a polygon of n sides is given by :

[tex]D=\dfrac{n(n-3)}{2}[/tex]

If the number of diagonals are 230, then put D = 230 in above formula. So,

[tex]230=\dfrac{n(n-3)}{2}\\\\460=n^2-3n\\\\n^2-3n-460=0[/tex]

It is a quadratic equation, the value of n is equal to 20.

It means that for 230 diagonal, there are 20 sides of the polygon.

-3(r+2)=40 whats is r in the equation , thanks :)

Answers

Answer:

r = -46/3

Step-by-step explanation:

-3(r+2)=40

Distribute

-3r - 6 = 40

Add 6 to each side

-3r-6+6 = 40+6

-3r = 46

Divide by -3

r = 46/-3

r = -46/3

if this cylindrical vase were filled with water. approximately how much water would it contain? A. 63in^3 B. 126in^3 C. 251in^3 D. 503in^3​

Answers

Answer:

126 in³

Step-by-step explanation:

Given a cylindrical vase having a diameter (d) of 4 in, and an height (h) of 10 in, the amount of water it would contain can be calculated using:

Volume of cylinder = πr²h

Where,

r = radius = ½ of d = ½*4 = 2 in

h = height = 10 in

Take π as 3.14

Plug in the values into the formula

Volume = 3.14*2²*10 = 3.14*4*10 = 125.6 ≈ 126 in³

A model of a statue is built to a scale of 1:5 from the same material as the real statue and weight 4 pounds. How many pounds does the real statue weigh?

Answers

Answer:

20 pounds

Step-by-step explanation:

If the model statue weighs 4 pounds and scale is 1:4, then 4x5=20.

what is the doors width in simplest form​

Answers

Answer:

x + 6

Step-by-step explanation:

From the question given above, the following data were obtained:

Length of rectangle = 3x + 6

Width of rectangle = 4x – 1

Width of door =..?

A careful observation of the diagram shows that the door is located along the length of rectangular room.

In a rectangle, two sides are equal. Therefore,

x + door + x = 3x + 6

Making door subject of the above formula, we have:

x + door + x = 3x + 6

door + x + x = 3x + 6

door + 2x = 3x + 6

Subtract 2x from both side

door + 2x – 2x = 3x + 6 – 2x

door = 3x – 2x + 6

door = x + 6

Therefore, the width of the door is x + 6

Is 2 6/7+5 1/3 irrational or rational?

Answers

Answer: rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

It uses rational numbers to make an expression.

Translate the algebraic expression to a verbal expression: 3 + 1/2x

Answers

Answer:

I'm not sure but I believe it is "Three plus one-half times x."

the clockwise distance between North east and south west is ​

Answers

Answer :

Say it is two o'clock, draw an imaginary line between the hour hand and twelve o'clock to create the north-south line. You know the sun rises in the east and sets in the west so this will tell you which way is north and which way south. If you are in the Southern Hemisphere then it will be the other way round.

Please mark me as a brainlist...... Please follow me.......

If f (x)=|3x-2|. Then what is f(5)

Answers

Answer:

13

Step-by-step explanation:

|3(5)-2|

|15-2|

|13|

13

3(5f + 2)- f = 2(-3)

pls help asap

Answers

Answer: -6/7

Step-by-step explanation:

3(5f+2)-f=2(-3)

  15f+6-f=-6 ⇔ distributive property

    14f+6=-6 ⇔ subtract f from 15f

        14f=-12 ⇔ subtraction property of equality (subtract 6 on both sides)

            f=-12/14 ⇔ division

            f=-6/7

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

14f =-12

Step-by-step explanation:

3×5f+ 3×2-f = 2×-3

15f - f + 6 = -6

14f= -6

0.3 repeating as a percent and a fraction?

Answers

For the fraction it will be 3/10 and percent will be 30%

Answer:

For the fraction it will be 3/10 and percent will be 30%

Step-by-step explanation:

A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? A. -4 B. -30 C. 4 D. 30

Answers

Answer:

The answer is c

Step-by-step explanation:

You have to do everything backwards,

-9 divide it by 3 to get -3, then add seven to that answer

Answer:

C

Step-by-step explanation:

You can work backward to find out the answer!

Start with -9. Instead of multiplying by 3, you can divide.

-9/3 = -3

Now, instead of decreasing -3 by 7, increase by 7.

-3+7 = 4

You get 4, which is C!

Hope this helps!

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