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dedylja [7]
4 years ago
7

The hot summer fair is coming to town. Admission to the fair costs $12.99 and each ride costs $1.75. You have $35 to spend at th

e fair including admission.
Part A: write an inequality that represents this situation

Part B: solve the inequality to determine the maximum number of rides you can enjoy at the hot summer fair.
Mathematics
1 answer:
Mariana [72]4 years ago
3 0

Admission cost to the fiar = $12.99.

Each ride cost = $1.75.

Let us assume number of rides = x.

a) Addimission charges + each ride cost *x <= Total money have.

We are given total money have = $35.

We can setup an inequality now

12.99 + 1.75*x <=35.

12.99 +1.75x <=35  is the required inequality.

b) Let us solve this inequality for x.

12.99 +1.75x <=35

Subtracting both sides by 12.99, we get

12.99-12.99 +1.75x <=35-12.99

1.75x <= 22.01.

Dviding both sides by 1.75

1.75x/1.75 <= 22.01/1.75

x< = 12.5771..

We got value of x less than or equal to 12.5771.... Number of rides could be a whole number.

Therefore, 12 are the maximum number of rides you can enjoy at the hot summer fair.


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mihalych1998 [28]

Answer:

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Step-by-step explanation:

Let's find m.

m = y/x

Using the point on the line, (3, 1),

m = ⅓

Substitute m = ⅓ into y = mx

This, the equation that describes the relationship would be:

y = ⅓x

7 0
3 years ago
What problems do they want? For 1and 2? Don’t need the answer on the paper just what’s the problem they are looking for?
KiRa [710]
For both problems, they want you to check their answers. For #1, is the opposite of -12 + 4 eight? For #2, can you split an 8 oz bag into 13 to have 2/3 oz in each bag? If you want the answers I’d be happy to comment. :)
4 0
4 years ago
Help with those three please!!
Scilla [17]

Answer:

Part 1) Option A. The axis of symmetry is x=4

Part 2) Option C. minimum

Part 3) Option A. (4,-4)

Part 4) Option B. (2,0) and (6,0)

Step-by-step explanation:

we have

f(x)=x^{2}-8x+12

Part 1) What is the axis of symmetry of the parabola described by the equation above?

we know that

The equation above is a vertical parabola open upward

The axis of symmetry is the x-coordinate of the vertex

Find the vertex of the parabola (convert the equation in vertex form)

f(x)-12=x^{2}-8x

f(x)-12+16=x^{2}-8x+16

f(x)+4=x^{2}-8x+16

f(x)+4=(x-4)^{2}

f(x)=(x-4)^{2}-4 ----> equation in vertex form

The vertex of the parabola is (4,-4)

so

The axis of symmetry is x=4

Part 2) The vertex of the equation above is also

we know that

The equation above is a vertical parabola open upward

therefore

The vertex is a minimum

Part 3) What is the vertex of the parabola described by the equation above

we know that

The equation of the parabola into vertex form is equal to

f(x)=(x-4)^{2}-4

therefore

The vertex of the parabola is (4,-4)

Part 4) What are the  x-intercepts of the parabola described by the equation above

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

f(x)+4=(x-4)^{2}

f)x)=0

so

4=(x-4)^{2}

take square root both sides

(x-4)=(+/-)2

x=4(+/-)2

x=4(+)2=6

x=4(-)2=2

therefore

The x-intercepts are

(2,0) and (6,0)

7 0
3 years ago
A relation is plotted as a linear function on the coordinate plane starting at point e (0, 27)(0, 27) and ending at point f (5,−
motikmotik

Answer:

2

Step-by-step explanation:

2

5 0
3 years ago
Does someone know if it is right? Please, if you don't know, it ok, but don't answer. PLEASE!
Firlakuza [10]

Ya I believe that is the answer. I got the exact same thing.

6 0
3 years ago
Read 2 more answers
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