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LUCKY_DIMON [66]
3 years ago
7

andre has 4 times as many model cars as Peter , and Peter has one-third as many model cars as jade . andre has 36 model cars . a

: write and solve an equation to find how many model cars Peter has . b: using your answer fir part a ,write and solve an equation to find how many model cars jade has.
Mathematics
2 answers:
fomenos3 years ago
6 0

Answer:

a: 9

b: 27

Step-by-step explanation:

Let's define  

P = amount of model cars that Peter has

J =amount of model cars that Jade has

A = amount of model cars that Andre has

a:  We need to find out how many model cars does Peter have, i.e. we need to find out P.

We know that Andre has 36 model cars and he has 4 times as many model cars as Peter. If we write that as an equation, we have

A = 4*P = 36

Now we just have to divide by 4:

4*P/4 = 36/4

P = 9

Peter has 9 model cars.

b: Now we need to find out how many model cars does Jade have, i.e. we need to find out J.

We will resolve it as in part a:

Peter has 9 model cars and he has one-third as many model cars as Jade, that is

P = 1/3*J = 9

We multiply by 3 and we have:

1/3*J*3 = 9*3

J = 27

Jade has 27 model cars.

lorasvet [3.4K]3 years ago
3 0
P = how many cars Peter has
j = how many cars Jade has
a = how many cars Andre has
p x 4 = how many cars Andre has (36 model cars)
>>>TO FIND HOW MANY MODEL CARS PETER HAS:
p x 4 = 36
36 / 4 = 9
your equation to find how many model cars Peter has is:
36 / 4 = 9
So, Peter has 9 model cars.
>>>TO FIND HOW MANY MODEL CARS JADE HAS:
36 / 4 = how many cars Peter has (9)
Now, you are given the info that Jade has THREE TIMES (3x) as many cars as Peter already.
So, your equation for this one is:
9 x 3 = 27
So Jade has 27 model cars.

---- Jade has 27 model cars.
---- Andre has 36 model cars.
---- Peter has 9 model cars.

equation for a. 36 / 4 = p
equation for b. 9 x 3 = j
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Read 2 more answers
H(x) = -3(x²)<br><br><br> describe the transformation
Shkiper50 [21]

Answer:

The parent function is the simplest form of the type of function given.

g

(

x

)

=

x

2

The transformation being described is from  

g

(

x

)

=

x

2

to  

h

(

x

)

=

−

3

x

2

.

g

(

x

)

=

x

2

→

h

(

x

)

=

−

3

x

2

The horizontal shift depends on the value of  

h

. The horizontal shift is described as:

h

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left  

h

units.

h

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right  

h

units.

In this case,  

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of  

k

. The vertical shift is described as:

h

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up  

k

units.

h

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down  

k

units.

In this case,  

k

=

0

which means that the graph is not shifted up or down.

Vertical Shift: None

The graph is reflected about the x-axis when  

h

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: Reflected

The graph is reflected about the y-axis when  

h

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of  

a

.

When  

a

is greater than  

1

: Vertically stretched

When  

a

is between  

0

and  

1

: Vertically compressed

Vertical Compression or Stretch: Stretched

Compare and list the transformations.

Parent Function:  

g

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: Reflected

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

image of graph

The parent function is the simplest form of the type of function given.

g

(

x

)

=

x

2

The transformation being described is from  

g

(

x

)

=

x

2

to  

h

(

x

)

=

−

3

x

2

.

g

(

x

)

=

x

2

→

h

(

x

)

=

−

3

x

2

The horizontal shift depends on the value of  

h

. The horizontal shift is described as:

h

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left  

h

units.

h

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right  

h

units.

In this case,  

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of  

k

. The vertical shift is described as:

h

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up  

k

units.

h

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down  

k

units.

In this case,  

k

=

0

which means that the graph is not shifted up or down.

Vertical Shift: None

The graph is reflected about the x-axis when  

h

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: Reflected

The graph is reflected about the y-axis when  

h

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of  

a

.

When  

a

is greater than  

1

: Vertically stretched

When  

a

is between  

0

and  

1

: Vertically compressed

Vertical Compression or Stretch: Stretched

Compare and list the transformations.

Parent Function:  

g

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: Reflected

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

image of graph

Step-by-step explanation:

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