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aleksandrvk [35]
3 years ago
7

Ax over b plus cx over d equals e solve for x

Mathematics
1 answer:
Lorico [155]3 years ago
7 0
\frac{ax}{b}+\frac{x}{d}=e\ \ \ \ \ \ |multiply\ both\ sides\ by\ "bd"\\\\bd\times\frac{ax}{b}+bd\times\frac{cx}{d}=bde\\\\adx+bcx=bde\\\\(ad+bc)x=bde\ \ \ \ \ |divide\ both\ sides\ by\ (ad+bc)\\\\\boxed{x=\frac{bde}{ad+bc}}
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3. the speedy fast ski resort has started to keep track of the number of skiers and snowboarders who bought season passes. the r
pogonyaev
You can set this up as an algebraic equation using the ratio:

\frac{1}{2} = \frac{x}{x+1250}
where x = number of skiers

Cross multiply:
x + 1250 = 2x

Solve for x:
-x = -1250
x=1250

To find the number of snowboarders, add 1250.
1250 + 1250 = 2500

1250 skiers and 2500 snowboarders bought season passes.
5 0
3 years ago
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kenny6666 [7]

Answer:

0.04578

Step-by-step explanation:

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4 0
2 years ago
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Y=5
Ymorist [56]
15. = slope would be 7 and y-int would be -4
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5 0
3 years ago
Help me fill in the blanks<br><br> 6x + __ =3<br> (__ + 5)
Virty [35]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Find the volume of the given solid. Under the surface z = 6xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)
Leya [2.2K]

he volume of the solid under a surface  

z

=

f

(

x

,

y

)

and above a region D is given by the formula  

∫

∫

D

f

(

x

,

y

)

d

A

.

Here  

f

(

x

,

y

)

=

6

x

y

. The inequalities that define the region D can be found by making a sketch of the triangle that lies in the  

x

y

−

plane. The bounding equations of the triangle are found using the point-slope formula as  

x

=

1

,

y

=

1

and  

y

=

−

x

3

+

7

3

.

Here is a sketch of the triangle:

Intersecting Region

The inequalities that describe D are given by the sketch as:  

1

≤

x

≤

4

and  

1

≤

y

≤

−

x

3

+

7

3

.

Therefore, volume is

V

=

∫

4

1

∫

−

x

3

+

7

3

1

6

x

y

d

y

d

x

=

∫

4

1

6

x

[

y

2

2

]

−

x

3

+

7

3

1

d

x

=

3

∫

4

1

x

[

y

2

]

−

x

3

+

7

3

1

d

x

=

3

∫

4

1

x

[

49

9

−

14

x

9

+

x

2

9

−

1

]

d

x

=

3

∫

4

1

40

x

9

−

14

x

2

9

+

x

3

9

d

x

=

3

[

40

x

2

18

−

14

x

3

27

+

x

4

36

]

4

1

=

3

[

(

640

18

−

896

27

+

256

36

)

−

(

40

18

−

14

27

+

1

36

)

]

=

23.25

.

Volume is  

23.25

.

4 0
3 years ago
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