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pav-90 [236]
3 years ago
7

Graph the system of equations on your graph paper to answer the question.

Mathematics
1 answer:
ddd [48]3 years ago
8 0

Answer:

The solution of the two give equations is (-1,4)

Step-by-step explanation:

i) First equation is        y = -x + 3

ii) Second equation is y = x + 5

iii) If we add the two equations we get 2y = 8    ∴ y = 4

iv) Substituting the value of y obtained in iii) in equation i) we get

    4 = -x + 3   ∴ -x = 4 - 3     ∴ -x = 1      ∴ x = -1

v) substituting x = -1 and y = 4 in the second equation we see that the equation is satisfied.

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6 cm<br> 16 cm<br> What is the volume of the cylinder?
jenyasd209 [6]

V = 576 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = pi * (6)^2 * 16

V = pi *36*16

V = 576 pi cm^3

5 0
3 years ago
In a movie theater, there are children and adults in the ratio 4:7. If there are 21 adults, how many people total are there in t
lozanna [386]

Answer:

33

Step-by-step explanation:

7x3=21

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8 0
3 years ago
-2x+5/2= 17
Alenkinab [10]
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3 years ago
Read 2 more answers
A charter airline finds that on its Saturday flights from Philadelphia to London, all 120 seats will be sold if the ticket price
Nataliya [291]

Answer:

a) P=3(120-s)+200

b) 215 \leq P \leq 290

Step-by-step explanation:

For this case we can use a linear model to solve the problem.

s) Create an equation to express the increase on the price tickets and the number of seats sold

s number of seats, if w analyze the info given the number of seats after increase the price is given by 120-s.

And let P the price for the ticket. So after the increase in ticket price the expression for the increase is P-200.

We have an additional info, for each increase of $3 the number of setas decrease 1. And the equation that gives to us the price change in terms of the increase of price is:

P-200=3(120-s)

So then our linear equation is given by:

P=3(120-s)+200

b) Over a certain period, the number of seats sold for this flight ranged between 90 and 115. What was the corresponding range of ticket prices?

So for this case we just need to replace the limits into the linear equation and see what we got:

P_L=3(120-90)+200=290

P_U=3(120-115)+200=215

So the corresponding range of ticket prices is:

215 \leq P \leq 290

4 0
3 years ago
Community Gym charges a $70 membership fee and a $70 monthly fee. Workout Gym charges a $200 membership fee and a $60 monthly fe
Triss [41]

Answer:

6 months

Step-by-step explanation:

6 0
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