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devlian [24]
3 years ago
11

The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry f

ee of $60 and an additional $3 per ride, x. Based on this information, which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?
Mathematics
1 answer:
seropon [69]3 years ago
8 0
Answer: The two equations are:
y = 5x + 40
y = 3x + 60

In each problem, you are given the cost per ride. That is the slope, it goes in front of the x. 

Then, you are also given the entry fee. That is the y-intercept, it goes at the end of the equation.

Now, the equations are in slope intercept form. Y = MX + B

Graphing the equations will give an answer of (10, 90)
This means for both plans 10 rides will cost $90.
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The diameter of circles A,C and E are 32 cm, 24cm and 14 cm respectively
Karolina [17]

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

<u><em>The complete question is</em></u>

The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.

•AG = 4

•GC = 10

•AH = 21

•EC = 12

•EH = 5

•CH = 5

•HE = 7

The picture of the question in the attached figure

<u><em>Verify each statement</em></u>

1) AG = 4

we know that

AG=AC-GC

AC=32\2=16\ cm ----> radius of circle A

GC=24/2=12\ cm ----> radius of circle C

substitute

AG=16-12=4\ cm

therefore

The statement is true

2) GC = 10

we know that

GC=24/2=12\ cm ----> radius of circle C

therefore

The statement is false

3) AH = 21

we know that

AH=AC+CH

we have

AC=16\ cm ----> radius of circle A

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

AH=16+5=21\ cm

therefore

The statement is true

4) EC = 12

we know that

EC=24/2=12\ cm ----> radius of circle C

therefore

The statement is true

5) EH = 5

we know that

EH=14/2=7\ cm ----> radius of circle E

therefore

The statement is false

6) CH = 5

we know that

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

therefore

The statement is true

7) HE = 7

we know that

HE=14/2=7\ cm ----> radius of circle E

therefore

The statement is true

3 0
3 years ago
Brazill is beststst idiotttefwweffsfaffsgjhfgsadhgvfgdsfghds fsdfsdfsd trava zap trava zap
Lorico [155]

Answer:

Excuse me?

Step-by-step explanation:

Put your question DB and I'll gladly answer!

8 0
3 years ago
The lines graphed below are parallel. The slope of the red line is -4/3. What is the slope of the green line?
miss Akunina [59]
I believe the correct answer from the choices listed above is option C. The slope of the green line would be -4/3. Parallel lines <span> are </span>lines<span> in a plane which do not meet; that is, two </span>lines<span> in a plane that do not intersect or touch each other at any point. These lines should have equal slopes. Hope this answers the question.</span>
4 0
3 years ago
Solve the equation x2 + + 7x= 30
antiseptic1488 [7]

Answer:

x^2+7x=30

x^2+7x-30=0

Here a=1,b=7 and c=-30

Now,

Discriminant(D)=b^2-4ac

=7^2-4×1×(-30)

=49+120=169

By applying Quadratic formula

x=-b+- root over b^2-4ac÷2a

=-7+- root over D ÷ 2×1

=-7 +- root over 169 ÷2

=-7 +- 13 ÷2

Now,

Either x=-7+13÷2=6÷2=3

Or x=-7 -13 ÷2=-20÷2=-10

Hence, ans is (C) x=-10 and x=3

8 0
3 years ago
The area of the red triangle is------ cm.
mr_godi [17]
Haudicjduyshsvdbcbis 2cn and yes it is
6 0
3 years ago
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