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skelet666 [1.2K]
3 years ago
13

At a state park, 3 children and 5 adults paid a total of $48 for their entrance fees, whereas 4 children and 2 adults paid a tot

al of $22. What is the entrance fee for 1 child? Please help me
Mathematics
2 answers:
Sonbull [250]3 years ago
5 0
The children is $6 and the adults is $10 <3
Arada [10]3 years ago
3 0
The kids are $6 and the adults are $10
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Rewrite each equation in vertex form by completing the square. Then identify the vertex.
ioda

ANSWER

Vertex form;

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

Vertex

V(  - \frac{3}{2} , -  \frac{35}{4} )

EXPLANATION

Given:

f(x) = 3 {x}^{2}  + 9x - 2

We complete the square as follows:

y = 3( {x}^{2}  + 3x) - 2

y = 3( {x}^{2}  + 3x +  \frac{9}{4} ) - 2 - 3 \times  \frac{9}{4}

The vertex form is:

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

The vertex is

V(  - \frac{3}{2} , -  \frac{35}{4} )

6 0
3 years ago
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Which figures are polygons?<br> MORE THAN ONE CORRECT ANSWER<br><br> please explain
Dahasolnce [82]

Answer:

all of them that have more than 4 sides

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3 years ago
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Vinvika [58]

Answer:

9w=8w-5

collect like terms

9w-8w=-5

w=-5

8 0
3 years ago
[GEOMETRY] If m∠DEG= 5x - 4 m∠GEF=7x - 8 m∠DEH= 9y + 5 find the values of x and y
IgorLugansk [536]

we are given

DEF is a line

so, sum of angles must be 180

angle(DEG)+angle(GEF)=180

now, we can plug values

5x-4+7x-8=180

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x=16.........Answer

vertically opposite angle must be equal

angle(GEF)=angle(DEH)

now, we can plug values

9y+5=7x-8

now, we can plug x=16

9y+5=7*16-8

9y+5=104

9y=99

y=11...................Answer


9 0
3 years ago
8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find t
motikmotik

Step-by-step explanation:

well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.

a)

therefore, 10 CD cases are 11×10 = 110 mm high.

b)

y = 11x

3 0
2 years ago
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