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Reil [10]
3 years ago
6

The price of a pair of shoes increases from $67 to $83. What is the percent 1 point

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

16

Step-by-step explanation:

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Solve the simultaneous equation:<br> 5 x + 2 y = 25 <br> 5 x − y = 10
Liono4ka [1.6K]

Answer:

(x, y) = (3, 5)

Step-by-step explanation:

5x+2y=25\\5x-y=10

Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:

5x+2y=25\\\\2(5x-y=10)\\10x-2y=20

Add from top to bottom:

\rightarrow (5x+10x)+(2y-2y)=25+20\\\rightarrow 15x=45\\\rightarrow x=3

Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:

\rightarrow 5x-y=10\\\rightarrow 5(3)-y=10\\\rightarrow 15-y=10\\\rightarrow -y=-5\\\rightarrow y=5

(x, y) = (3, 5)

4 0
3 years ago
Read 2 more answers
On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas. On the return trip she traveled 235 miles on 8 g
Tamiku [17]

Julie travelled with 30.5 miler per gallon.

<u>SOLUTION: </u>

Given, On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas.  

On the return trip she traveled 235 miles on 8 gallons of gas.  

We have to find how many miles per gallon did Julie get on the way there?

We know that,

\text { number of miles per gallon }=\frac{\text { total distance travelled }}{\text { total number of gallons }}

Substituting the values we get,

=\frac{192+235}{8+6}=\frac{427}{14}=30.5 \text { miles per gallon }

Hence, Julie travelled with 30.5 miler per gallon on the way there on mountains.

5 0
3 years ago
Which is equivalent to V180x11 after it has been simplified completely?
inna [77]

Question:

Which is equivalent to \sqrt{180x^{11}} after it has been simplified completely?

Answer:

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

Step-by-step explanation:

Given

\sqrt{180x^{11}}

Required

Simplify

We start by splitting the square root

\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}

Replace 180 with 36 * 5

\sqrt{180x^{11}} = \sqrt{36 * 5} *  \sqrt{x^{11}}

Further split the square roots

\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} *  \sqrt{x^{11}}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{11}}

Replace power of x; 11 with 10 + 1

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10 + 1}}

From laws of indices; a^{m+n} = a^m * a^n

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x^1}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x}

Further split the square roots

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10}} * \sqrt{x}

From laws of indices; \sqrt{a} = a^{\frac{1}{2}}

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{10*\frac{1}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{\frac{10}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{5} * \sqrt{x}

Rearrange Expression

\sqrt{180x^{11}} = 6 *  x^{5} * \sqrt{5} * \sqrt{x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}

From laws of indices; \sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}

So, we have

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

<em>The expression can no longer be simplified</em>

Hence, \sqrt{180x^{11}} is equivalent to 6x^{5}\sqrt{5x}

7 0
3 years ago
Read 2 more answers
13. Don is running a race. He knows he can run 60 feet in 4 seconds. If he maintains this rate, how many miles will he run in 1
Lana71 [14]

Answer:

10.23 miles

Step-by-step explanation:

1 hour = 3600 seconds

\frac{60}{4} =\frac{x}{3600} \\\\4x=216000\\x=54000

54000 ft = 10.23 miles

5 0
3 years ago
Read 2 more answers
Standard slope intercept form simplify all fractions <br> 2y-4x=-16
Shtirlitz [24]

Answer: y= 2x-8

Step-by-step explanation:

2y-4x=-16

2y=-16+4x

y=-8+2x

y= 2x-8

4 0
3 years ago
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