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Genrish500 [490]
2 years ago
8

Subtract. Write your answer in simplest form. 7 1/15 - 3 4/5

Mathematics
2 answers:
Mnenie [13.5K]2 years ago
7 0

Answer:

3\frac{4}{15}

Step-by-step explanation:

7\frac{1}{15}

7=6+1

=6+1\frac{1}{15}

a\frac{b}{c}=\frac{a\cdot \:c+b}{c}

1\frac{1}{15}=\frac{1\cdot 15+1}{15}=\frac{16}{15}

=6+\frac{16}{15}

=6\frac{16}{15}

=6\frac{16}{15}-3\frac{4}{5}\\

\mathrm{Subtract\:the\:numbers:}\:6-3=3

3

\mathrm{Combine\:fractions}\:\frac{16}{15}-\frac{4}{5}:\quad \frac{4}{15}

\frac{16}{15}-\frac{4}{5}

\mathrm{Least\:Common\:Multiplier\:of\:}15,\:5:\quad 15

=\frac{16}{15}-\frac{12}{15}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{16-12}{15}

\mathrm{Subtract\:the\:numbers:}\:16-12=4

=\frac{4}{15}\\

=3+\frac{4}{15}\\

=3\frac{4}{15}

Bingel [31]2 years ago
5 0

Answer:

3 4/15

Step-by-step explanation:

= 7 + 1 /15 - 3 -4/5

7-3 =4

4/5 = 12/15

1/15-12/15

3 ⁴/⁵

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32, 28, 21, 31, 18<br><br> Is 18 an outlier or no?
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Answer:

No because 21 is close to it.

Step-by-step explanation:

To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.

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Hiba has 30 cupcakes. How many pieces will she have if she divides them into fourths?
Alex_Xolod [135]

Answer:

7.5

Step-by-step explanation:

fourths mean 1/4

We will have to multiply the initial value with the 1/4

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3 years ago
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A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first the
Svetlanka [38]

Answer:

The hotel charge in each city before tax was <u>$5125</u> of the first city and <u>$3625</u> of the second city.

Step-by-step explanation:

Given:

A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.

The tax of the first city was 6% and the tax of the second city was 10%.

Total hotel tax paid for two cities with $670.

Now, to find the hotel charge in each city before tax.

Let the hotel charge in first city before tax be x.

And the hotel charge in second city before tax be y.

<em>So, as the hotel charge of the second city was 1500 higher than the first.</em>

<em>Thus</em>,

y=x-1500   ........(1)

<em>And as given, the tax of the first city was 6% and the tax of the second city was 10%, total hotel tax paid for two cities with $670.</em>

6% of x + 10% of y = $670.

\frac{6x}{100} +\frac{10y}{100} =670

0.06x+0.10y=670

Substituting the value of y from equation (1) we get:

0.06x+0.10(x-1500)=670

0.06x+0.10x-150=670

0.16x-150=670

<em>Adding both sides by 150 we get:</em>

0.16x=820

<em>Dividing both sides by 0.16 we get:</em>

x=5125.

<em>The hotel charge in first city before tax = $5125.</em>

Now, substituting the value of x in equation (1) we get:

y=x-1500

y=5125-1500

y=3625.

<em>The hotel charge in second city before tax = $3625.</em>

Therefore, the hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.

5 0
3 years ago
What is 2M? <br> Is anyone good at Matrices?
goldenfox [79]

Answer:

It's the first one

Step-by-step explanation:

Because 2M means you are multiplying all the values of M with 2

3 0
2 years ago
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