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2 years ago

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]

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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

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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.

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3 years ago

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

Katyanochek1 [597]

X-intercept is (-6, 0) , (3, 0)

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