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nadezda [96]
2 years ago
7

HELP! ASAP! 4x+3y=12 (find the x and y-intercepts to graph.

Mathematics
1 answer:
Greeley [361]2 years ago
8 0

Y intercept  (x = 0)

4(0)+3y=12

3y = 12

y = 12/3

y = 4

X intercept  (y = 0)

4x+3(0)=12

4x = 12

x = 12/4

x = 3

R/ The intercept with x is (3,0) and with y (0,4)

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The Family Fine Arts Center charges $20 per adult and $13 per senior citizen for its performances. On a recent weekend evening w
andre [41]

Answer:

342.

Step-by-step explanation:

Let x represent the number of adults and y represent the number of senior citizens.

We have been given that on a recent weekend evening 514 people paid for the admission. We can represent this information in an equation as:

x+y=514...(1)

We have been given that the Family Fine Arts Center charges $20 per adult and $13 per senior citizen for its performances.

The cost of x adult tickets would be 20x and cost of y senior citizen tickets would be 13y.

We are also told that total receipts were $7886 on a recent weekend evening. We can represent this information in an equation as:

20x+13y=7,886...(2)

From equation (1), we will get:

We can represent this information in an equation as:

x=514-y

Substitute this value in equation (2) as:

20(514-y)+13y=7,886

10,280-20y+13y=7,886

10,280-7y=7,886

10,280-10,280-7y=7,886-10,280

-7y=-2394

\frac{-7y}{-7}=\frac{-2394}{-7}

y=342

Therefore, 342 senior citizens paid for the art center.

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3 years ago
16р* +4p<br> greatest common factor
PilotLPTM [1.2K]

Answer:

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Step-by-step explanation:

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3 years ago
Determine the area of each face of a cube 306.6
olasank [31]

Answer: 51.1 units squared

Step-by-step explanation: the area of each face is 306.6 so then you would divided that by 6 since there are 6 sides in a cube so you get 51.1 and if multiplied by 6 it equals 306.6

4 0
3 years ago
What is the common difference of 80,60,45,33.75
GenaCL600 [577]

Answer:

The common difference (or common ratio) = 0.75

Step-by-step explanation:

i) let the first term be a_{1} = 80

ii) let the second term be a_{2}  = a_{1} . r = 80 × r = 60      ∴  r = \frac{60}{80} = 0.75

iii) let the third term be     a_{3}  = a_{2} . r = 60 × r = 45      ∴  r = \frac{45}{60} = 0.75

iv) let the fourth term be   a_{4} = a_{3} . r = 45 × r = 33.75   ∴ r = \frac{33.75}{45} = 0.75

Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.

4 0
3 years ago
What point is an x-intercept of the quadratic function f(x)=(x+6)(x-3)
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