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Mrrafil [7]
2 years ago
7

Belle runs 16 times around a track that measures 1/4 mile long.

Mathematics
1 answer:
Darina [25.2K]2 years ago
5 0
16/4 which could be simplified to be the whole number 4
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In the formula a^2 + b^2 = c^2 , what is the value of a^2 ?
maksim [4K]
The answer would be A. c^2 – b^2 
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3 years ago
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On May 1, Cleveland Livingston opened a savings account that paid
Ludmilka [50]

Answer:

Step-by-step explanation:

rate  = 3.5% per month

A) Six  days later the bank calculated the daily interest.

so, time = 6 days

= 6 / 30 = 1/5 month

simple interest  =\frac{P*r*t}{100}

=\frac{5000*3.5*1/5}{100} \\\\=35

=35%

B) For $5000, t = 1 month

For $2000, t = 20 / 30 = 2/3 month

For $8000, t = 16/30 months

Simple interest for $5000

=\frac{500083.5*1}{100} \\\\= 175

$175

Simple interest for $2000

=\frac{2000*3.5*2/3}{100} \\\\=\ 46.67

=$46.67

Simple interest for $8000

=\frac{8000*3.5*16/30}{100} \\\\=149.33

=$149.33

Total amount in account at the end of 30 days is

= $5000 + $175 + $2000 + $46.67 + $8000 + $149.33

= $15371

7 0
3 years ago
Write the ratio of the first measurement to the second measurement. Compare in millimeters.
liraira [26]

Yo sup??

First measurement=44 mm

Second measurement=7.6 cm

=7.6*10 mm

=76 mm

Ratio=76:44

=19:11

Hope this helps

3 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
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The sum of 3 times a number and 6 is 8.
Anastaziya [24]

Answer:

The number is 4/9

Step-by-step explanation:

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7 0
3 years ago
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