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Elis [28]
3 years ago
9

At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor, membership is $90 per mo

nth, and personal training sessions are $35 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Mathematics
1 answer:
pshichka [43]3 years ago
4 0
S(x)=30x+45
F(x)=90x+35
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Given m|n, find the value of x.
In-s [12.5K]

Answer:

27

Step-by-step explanation:

angle adjacent to 163 = 27

x=27 by alternate angles equal principle.

7 0
2 years ago
The curve given by x=sin(t),y=sin(t+sin(t)) has two tangent lines at the point (x,y)=(0,0). List both of them in order of increa
SOVA2 [1]

Answer:

y = 0

y =2x

Step-by-step explanation:

Given parametric equations:

x (t) = sin (t)

y (t) = sin (t + sin (t))

The slope of the curve at any given point is given by dy / dx we will use chain rule to find dy / dx

(dy / dx) * (dx / dt) = (dy / dt)

(dy / dx) = (dy / dt) / (dx / dt)

Evaluate dx / dt and dy / dt

dx / dt = cos (t)

dy / dt = cos (t + sin (t)) * (1+cos (t))

Hence,

dy / dx = (1+cos(t))*cos(t + sin (t))) / cos (t)

@Given point (x,y) = 0 we evaluate t

0 = sin (t)

t = 0 , pi

Input two values of t and compute dy / dx

@ t = 0

dy / dx = (1 + cos (0))*cos (0 + sin (0))) / cos (0)

dy / dx = (1+1)*(1) / (1) = 2 @ t = 0

@t = pi

dy / dx = ( 1 + cos (pi))* cos (pi + sin (pi)) / cos (pi)

dy / dx = (1-1) * (-1) / (-1) = 0 @ t = pi

The corresponding gradients are 0 and 2 in increasing order and their respective equations are:

y = 2x

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5 0
3 years ago
The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
Oksana_A [137]

Answer:

£124

Step-by-step explanation:

first of all, you're meant to add all the figures given on the pie chart, which is 29+137+58+62+74 and that will give you a total of 360 degrees

so, you say 360 degrees is equal to the total amount of money he spent, which is £720, what about 62 degrees

therefore, you just do (62×720)÷360

that will give you £124

6 0
2 years ago
What steps would you follow in order to solve the equation?
Monica [59]

Answer:

c. add 4 on each side and multiply by 8

Step-by-step explanation:

4 0
3 years ago
Can someone help me please
m_a_m_a [10]

Answer:

d

Step-by-step explanation:

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4 0
3 years ago
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