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Mama L [17]
2 years ago
9

5 divided by what equals 1.21

Mathematics
1 answer:
salantis [7]2 years ago
5 0

Answer:

4.132

Step-by-step explanation:


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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
2 years ago
Sebastian and teshawn go to the movies. the tickets cost $16 in total. the boys share the cost equally. how much does tedrawn pa
olya-2409 [2.1K]
Teshawn pays 8 dollars
5 0
2 years ago
Three tenths times twelve
Sholpan [36]

Answer:

3.6

Step-by-step explanation:

0.3x12=3.6

Because you know that 12x3=36, so 12x0.3=3.6!

Good luck!

7 0
2 years ago
-17π/3<br> Find the exact values of all six trig functions
Tpy6a [65]
The six trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. This is a first quadrant angle. sine of -17 pi over 3 is equal to square root of 3 over 2, cosine of -17 pi over 3 is equal to 1/2. tan -17 pi over 3  is equal to square root of 3. cosecant-17 pi over 3  is equal to 2/sqrt3, secant  of -17 pi over 3 is 2 while cotangent -17 pi over 3  is equal to 1/sqrt 3
3 0
3 years ago
A pound of blueberries costs $3
Irina-Kira [14]

Answer:

$6.87

Step-by-step explanation:

For the blueberries we multiply 3.98 with .6 pounds to get 2.39

We do the same for the other item 2.49 X 1.8 = 4.48

Total the two for the answer:

2.39 + 4.48 = 6.87

3 0
2 years ago
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