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umka2103 [35]
4 years ago
8

Workout Gym has a sign up fee of $15 and charges $1 per day for membership.

Mathematics
2 answers:
natita [175]4 years ago
8 0

t = 15 + x and t = 5 + 2x represents the system of equations for this real world situation

<em><u>Solution:</u></em>

<em><u>Workout Gym has a sign up fee of $15 and charges $1 per day for membership</u></em>

Therefore,

Sign up fee = $ 15

Charge per day = $ 1

Let "x" be the number of days charged for membership

Let "t" be the total charge for membership

<em><u>Thus, we frame a equation as:</u></em>

Total fee = sign up fee + charge per day (number of days)

Total fee = 15 + 1(x)

t = 15 + x ------- eqn 1

<em><u>Healthy Gym has a $5 sign up fee and charges a $2 daily fee</u></em>

Sign up fee = $ 5

Charge per day = $ 2

Let "x" be the number of days charged for membership

Let "t" be the total charge for membership

<em><u>Thus, we frame a equation as:</u></em>

Total fee = sign up fee + charge per day (number of days)

t = 5 + 2(x)

t = 5 + 2x ------- eqn 2

Thus eqn 1 and eqn 2 represent the system of equations for this situation

vlabodo [156]4 years ago
4 0

Answer:

Its the second graph

Step-by-step explanation:

edg

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While taking a ride in a hot-air balloon in Napa Valley, Francisco wonders how high he is. To find out, he chooses a landmark th
Delicious77 [7]

Answer:the height of the balloon is 670.244 feet

Step-by-step explanation:

The right angle triangle BLD represents the scenario.

h represents the height of the balloon.

We would apply trigonometric ratio to determine h.

Tan # = opposite side/adjacent side

Looking at triangle LCD,

# = 61 degrees

h = opposite side

x = adjacent side

Tan 61 = h/x

1.7321 = h/x

h = 1.7321x

Looking at triangle LBD,

# = 54 degrees

h = opposite side

x + 100 = adjacent side

Tan 54 = h/x + 100

1.3764 = h/x + 100

h = 1.3764(x + 100)

Therefore,

1.7321x = 1.3764(x + 100)

1.7321x = 1.3764x + 137.64

137.64 = 1.7321x - 1.3764x

137.64 = 0.3557x

x = 137.64/0.3557 = 386.955

h = 1.7321x = 386.955 × 1.7321

h = 670.244 feet

8 0
4 years ago
Try It Yourself<br> Find 0.2% of 126, rounding your answer to 3 significant figures if needed
sweet [91]

Answer:

0.252

Step-by-step explanation:

<u>0</u><u>.</u><u>2</u><u> </u> ×126

100

0.252

4 0
3 years ago
Nt divided by n plus t, for n equals 15 and t equals 7
ohaa [14]

nt / (n+t)

substitute n=15 and t=7

(15*7)/(15+7)

105/22

22 goes into 105 4 times with 17 left over

4 17 /22

7 0
4 years ago
The blue object has been rotated 180 degrees clockwise about point (1,2). Which is the correct image?
Alla [95]
<h3>Answer: Figure C</h3>

Let's focus on the point (3,4) which is the upper left-most point of the blue figure. Draw a line through (3,4) and (1,2) which is the point we're rotating the blue figure around. This line goes through (-1,0) which is on figure C. Specifically, it is the lower right-most point of the figure. The rotation flipped things around so to speak (it's not a reflection though).

This trick of drawing a line through the rotation center only works when we are doing 180 degree rotations.

3 0
4 years ago
A car dealership has 24ft of dividers with which to enclose a rectangular play sace
alina1380 [7]

Answer:

A)  Area = A(x) = 24x - x^2

B)  Domain = {x < 24}

Step-by-step explanation:

<u>Complete Question:</u>

A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.  

A) express the area of the play space as a function of x

B) find the domain of the function

Solution:

A)

The rectangle has area of length * width

length is x

so width will be 24 - x

Hence, the area will be:

Area = x(24 - x)

Area = A(x) = 24x - x^2

B)

Domain is the set of x values that make the function defined.

The domain will be all values less than 24.

Because if you take 24, the area would be 0 [doesn't make sense]

if you take anything over 24, the area would be negative [not possible]

Hence, the domain is:

Domain = {x < 24}

6 0
4 years ago
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