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sergiy2304 [10]
3 years ago
11

What is the value of x in the proportion below? 1/2/4=x/28

Mathematics
2 answers:
True [87]3 years ago
7 0

Answer:

depends on whether you meant (1/2)/4  or 1/ (2/4)

Step-by-step explanation:

1/2                 x

---------- = -------------

4                   28

Using cross products

1/2* 28 = 4x

14 = 4x

Divide by 4

14/4 = 4x/4

7/2 =x

If you meant

1                 x

---------- = -------------

2/4                   28

1 * 28 = 2/4 x

28 = 1/2 x

Multiply each side by 2

28*2 = 1/2x*2

56 =x

cluponka [151]3 years ago
6 0

Answer:

\large\boxed{x=\dfrac{7}{2}=3.5}

Step-by-step explanation:

\dfrac{\frac{1}{2}}{4}=\dfrac{x}{28}\qquad\text{cross multiply}\\\\4x=\left(\dfrac{1}{2\!\!\!\!\diagup_1}\right)\cdot28\!\!\!\!\!\!\diagup^{14}\\\\4x=14\qquad\text{divide both sides by 4}\\\\x=\dfrac{14}{4}\\\\x=\dfrac{14:2}{4:2}\\\\x=\dfrac{7}{2}

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4 0
3 years ago
a store has a 20% off sale on pants with this discount, the price of one pair of pants before tax is $15.20. what was the origin
anastassius [24]

Answer:

19$

Step-by-step explanation:

In this problem, we have to apply the rule of three. Also, we must have present that $15.20 is the 80% of the price, because the store offers a 20% of discount. So, if $15.20 is 80%, how much would be the 100%?

Therefore, the original price of the pants is $19.

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7 0
2 years ago
If 18√8 - 8 √18 = √n, what is n?
Yuliya22 [10]

Answer:

n=288

Step-by-step explanation:

Rewrite the equation as  

√

n

=

18

√

8

−

8

√

18

.

√

n

=

18

√

8

−

8

√

18

To remove the radical on the left side of the equation, square both sides of the equation.

√n

2

=

(

18

√

8

−

8

√

18

)

2

Simplify each side of the equation.  

Use  

n

√

a

x

=

a

x

n

to rewrite  

√

n  as  n

1

2

.

(

n

1

2

)

2

=

(

18

√

8

−

8

√

18

)

2

Simplify  

(

n

1

2

)

2

.  

Multiply the exponents in  

(

n

1

2

)

2

.  

Apply the power rule and multiply exponents,  

(

a

m)n

=

a

m

n

.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Cancel the common factor of  2  

Cancel the common factor.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Rewrite the expression.

n

1

=

(

18

√

8

−

8

√

18

)

2

Simplify.

n

=

(

18

√

8

−

8

√

18

)

2

Simplify  

(

18

√

8

−

8

√

18

)

2

Simplify each term.

Rewrite  

8  as  2

2

⋅

2

.  

Factor  

4  out of  8  

n

=

(

18

√

4

(

2

)

−

8

√

18

)

2

Rewrite  

4  as  2

2  

n

=

(

18√

2

2

2

−

8

√

18

)

2

Pull terms out from under the radical.

n

=

(

18

(

2

√

2

)

−

8

√

18

)

2

Multiply  

2  by  18  

n

=

(

36

√

2

−

8

√

18

)

2

Rewrite  

18

as  

3

2

⋅

2

.

Factor  

9

out of  

18

.

n

=

(

36

√

2

−

8

√

9

(

2

)

)

2

Rewrite  

9

as  

3

2

.

n

=

(

36

√

2

−

8

√

3

2

⋅

2

)

2

Pull terms out from under the radical.

n

=

(

36

√

2

−

8

(

3

√

2

)

)

2

Multiply  

3

by  

−

8

.

n

=

(

36

√

2

−

24

√

2

)

2

Simplify terms.

Subtract  

24

√

2

from  

36

√

2

.

n

=

(

12

√

2

)

2

Simplify the expression.

Apply the product rule to  

12

√

2

.

n

=

12

2

√

2

2

Raise  

12

to the power of  

2

.

n

=

144

√

2

2

Rewrite  

√

2

2

as  

2

.

Use  

n

√

a

x

=

a

x

n

to rewrite  

√

2

as  

2

1

2

.

n

=

144

(

2

1

2

)

2

Apply the power rule and multiply exponents,  

(

a

m

)

n

=

a

m

n

.

n

=

144

⋅

2

1

2

⋅

2

Combine  

1

2

and  

2

.

n

=

144

⋅

2

2

2

Cancel the common factor of  

2

.

Cancel the common factor.

n

=

144

⋅

2

2

2

Rewrite the expression.

n

=

144

⋅

2

1

Evaluate the exponent.

n

=

144

⋅

2

Multiply  

144

by  

2

.

n

=

288

5 0
3 years ago
Identify the solution set of the given inequality using the given replacement set.
scoundrel [369]
Another user previously answered this same question and had a good rating, his answer was as follows:

"{-9; -6.5; -5.2}" 

Which I suppose would be answer D.
- Hope it helps.

3 0
3 years ago
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