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earnstyle [38]
2 years ago
15

a 7.15h tire is 6 5/8 inches wide and a 7.15c tire is 4 3/4 inches wide. what is the different in their widths​

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
7 0

Answer:

1\frac{7}{8}\ in

Step-by-step explanation:

step 1

Convert mixed numbers to an improper fractions

<em>7.15h tire</em>

6\frac{5}{8}\ in=\frac{6*8+5}{8} =\frac{53}{8}\ in

<em>7.15h tire</em>

4\frac{3}{4}\ in=\frac{4*4+3}{4} =\frac{19}{4}=\frac{19*2}{4*2}=\frac{38}{8}\ in

step 2

Find the difference

\frac{53}{8}\ in-\frac{38}{8}\ in=\frac{15}{8}\ in

step 3

Convert to mixed number

\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\ in

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(−5)3x7(yz)4 / (3)2x2y8z2
g100num [7]

Answer:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

Step-by-step explanation:

Given:

The expression to simplify is given as:

\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}

In order to simplify this, we have to use the law of indices.

1. (ab)^m=a^mb^m

So, (yz)^4=y^4z^4

Substitute this value in the above expression. This gives,

=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)

Now, we use another law of indices.

2. \frac{a^m}{a^n}=a^{m-n}

So,  \frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2

Substitute these values in the above expression. This gives,

=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}

Finally, we further simplify it using the law a^{-m}=\frac{1}{a^m}

So, y^{-4}=\frac{1}{y^4}

Therefore, the given expression is simplified as:

\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}

5 0
3 years ago
Help With This Question ASAP!!!​
ch4aika [34]

Answer:

43.25-7-(t*1.15)

Step-by-step explanation:

because oBaMa

8 0
3 years ago
Read 2 more answers
Wegnerkolmp2741o plz help me only wegnerkolmp2741o
34kurt

Answer:

1. Triangular prism

  • 5 faces
  • 6 vertices
  • 9 edges

2. Trapezoidal prism

  • 6 faces
  • 8 vertices
  • 12 edges

3. Pentagonal prism

  • 7 faces
  • 10 vertices
  • 15 edges

4. Hexagonal prism

  • 8 faces
  • 12 vertices
  • 18 edges

7 0
3 years ago
Plz help me so confused
Alex Ar [27]
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4 0
3 years ago
A regular hexagon has sides of 3 feet. What is the area of the hexagon?
frosja888 [35]

Answer:

13.5\sqrt{3}\:\text{ft}^{2}

Step-by-step explanation:

Given: The side of a regular hexagon is 3 feet.

To find: Area of the hexagon

Solution:

It is given that the side of a regular hexagon is 3 feet.

We know that the area of a regular hexagon whose side is a units is \frac{3\sqrt{3} }{2} a^{2}

Here, the side is 3 feet

So, area of the regular hexagon

=\frac{3\sqrt{3} }{2} \times3^{2}

=\frac{3\sqrt{3} }{2} \times9

=\frac{27\sqrt{3} }{2}

=13.5\sqrt{3}\:\text{ft}^{2}

Hence, area of the regular hexagon is 13.5\sqrt{3}\:\text{ft}^{2}

6 0
3 years ago
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