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marshall27 [118]
2 years ago
10

3x squared =118. Solve the equation. Round to the nearest hundredth if necessary.

Mathematics
2 answers:
Anit [1.1K]2 years ago
8 0

Answer:

3.62

Step-by-step explanation:

118 square rooted is 10.86

10.86/3 = 3.62

sukhopar [10]2 years ago
5 0

Answer:

x=\pm6.27\: \textsf{(nearest hundredth)}

Step-by-step explanation:

Given equation:

3x^2=118

Divide both sides by 3:

\implies \dfrac{3x^2}{3}=\dfrac{118}{3}

\implies x^2=\dfrac{118}{3}

Square root both sides:

\implies \sqrt{x^2}=\sqrt{\dfrac{118}{3}}

\implies x=\pm\sqrt{\dfrac{118}{3}}

\implies x=\pm6.27\: \textsf{(nearest hundredth)}

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attashe74 [19]

Answer:

4.86

Step-by-step explanation:

Melanie uses 8.1 pints of blue paint and white paint for her bedroom

2/5 of this amount is blue paint

Therefore the amount of white paint can be calculated as follows

= 2/5

= 0.4×100

= 40%

60/100 × 8.1

= 0.6 × 8.1

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4 0
3 years ago
What is the sum of 4 radical 2 and 5 radical 6 in simplest form?
balu736 [363]

Answer:

40√3

Step-by-step explanation:

(4√2)(5√6) = 40√3

4 0
3 years ago
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Answer:

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8 0
3 years ago
please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e
mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0
1 year ago
What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun
kvasek [131]

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

  = πr² × \frac{\frac{5\pi }{6} }{2\pi }

  = π × 2.8² × \frac{5}{12} ≈ 10.26 in²

7 0
3 years ago
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