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Evgesh-ka [11]
3 years ago
14

An aquarium is on sale for $59.50. If this price represents a 15% discount from the original price, what is the original price t

o the nearest cent?
Mathematics
1 answer:
Lina20 [59]3 years ago
4 0
x-\ original\ price\\\\
x+15\%x=59,5\\\\
x-0,15x=59,5\\\\
0,85x=59,5\ \ \ | divide\ by\ 0,85\\\\
x=70\$\\\\Original\ price\ is\ 70\$.
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Plz answer ASAP with work ty!
horsena [70]

Answer: 8\sqrt{6}

Step-by-step explanation:

\frac{2^4\sqrt{3}}{\sqrt{2}}

2^{\frac{7}{2}}\sqrt{3}

2^{\frac{7}{2}}=2^{3+\frac{1}{2}}

2^3\cdot \:2^{\frac{1}{2}}=

2^3\sqrt{2}

= 2^3\sqrt{2}\sqrt{3}=

2^3\sqrt{2\cdot \:3}

=2^3\sqrt{6}

2^3=8

Answer- 8\sqrt{6}

7 0
3 years ago
if there is 27 marbles in a bag and the amount of red marbles is 5 less than 3 times the amount of blue marbles how many marbles
alexira [117]

Answer:

54

Step-by-step explanation:

5-3=2

so you multiply 2 times 27.

2 times 27 is 54

8 0
3 years ago
Picture included please help
saul85 [17]
What is the question?
3 0
3 years ago
Simplify <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%20180%7D%20" id="TexFormula1" title=" \sqrt{ - 180} " alt="
QveST [7]

Answer: (6\sqrt{5})i

This is the same as saying 6i\sqrt{5}

====================================================

Work Shown:

\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\

where i = \sqrt{-1}

As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule \sqrt{A*B} = \sqrt{A}*\sqrt{B} to break up the root.

The parenthesis used at the very end is to help separate the 6\sqrt{5} from the i term. The "i" is not under the square root.

4 0
3 years ago
7x &lt; 10<br> please solve
Anvisha [2.4K]

Answer: The answer would be  x < 10/7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    7*x (10)>0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  7x - 10  =   -1 • (7x + 10)

Equation at the end of step

1

:

STEP 2

:

2.1   Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     7x+10  < 0

2.2    Divide both sides by  7  

     x+(10/7)  < 0

Solve Basic Inequality :

2.3      Subtract  10/7  from both sides

           x < 10/7

Inequality Plot :

2.4      Inequality plot for

        7.000 x  - 10.000  >  0

 

One solution was found :

x < 10/7

4 0
2 years ago
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