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3 years ago

5

Solve . . . 6/14=7/x-3

1 answer:

inn [45]3 years ago

7 0

Answer: x

=

19

1

3

Step-by-step explanation:

6

14

=

7

x

−

3

Rewrite the equation as

7

x

−

3

=

6

14

.

7

x

−

3

=

6

14

Cancel the common factor of

6

and

14

.

Tap for more steps...

7

x

−

3

=

3

7

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

7

⋅

7

=

(

x

−

3

)

⋅

3

Solve the equation for

x

.

Tap for more steps...

x

=

58

3

The result can be shown in multiple forms.

Exact Form:

x

=

58

3

Decimal Form:

x

=

19.

¯

3

Mixed Number Form:

x

=

19

1

3

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Step-by-step explanation:

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8 0

3 years ago

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width

dolphi86 [110]

Answer:

Length = 17 inches

Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

${\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}$

⠀

${\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x = 48}}}}$

⠀

${\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}$

⠀

${\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar$

⠀

Therefore,

The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

${\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}$

⠀

${\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}$

⠀

${\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}$

⠀

Therefore,

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⠀

8 0

2 years ago

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jeyben [28]

Let us say ,

x=number of students who passed

y=number of students who failed

total number of students =276

x+y=276..................(1)

We are given 5 times the number of students passed as failed.

x=5y.............(2)

plugging value of x from (2) in (1),

5y+y=276

6y=276

y=46

x=5y=46*5=230

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4 0

3 years ago

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Vladimir [108]

Answer:

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Step-by-step explanation:

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If the Capacity of the plane is 240 people.

(I)At 7A.M and 4P.M., the average cost per passenger is given as:

Average Cost=Total Cost/Number of Passengers

=70000/240=$291.67 per passenger

(II)At 10AM and 1PM, the flight is only half full, it has 120 passengers.

Average Cost = 70000/120=$583.33 per passenger

4 0

4 years ago

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Ilya [14]

Answer:

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Step-by-step explanation:

7 0

4 years ago