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3 years ago

Tyrel evaluated the expression 2 1/2−3/4. Which is one way he can check his work?

Mathematics

1 answer:

Oxana [17]3 years ago

3 0

Answer:

1 3/4 = 7/4 = 1.75

Step-by-step explanation:

The process to arrive to the solution is explained in the pictures below.

Tyler needed to convert the mixed fraction

2 1/2 = (4+1)/2 = 5/2

If we multiply by 2 numerator and denominator

5*2/2*2 = 10/4

We substract

10/4 - 3/4 = 7/4 = 1.75

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The rectangle below has an area of 1 8 x 3 18x 3 square meters and a length of 2 x 2 2x 2 meters.

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Answer:

$\text{The width of rectangle}=9x\text{ meters}$

Step-by-step explanation:

We have been given that the rectangle has an area of $18x^3$ square meters and a length of $2x^{2}$ . We are asked to find the width of rectangle.

Since we know that area of a rectangle is width times length of the rectangle, so we can find width of our given rectangle by dividing given area by length of rectangle.

$\text{Area of rectangle}=\text{Width of rectangle *Length of the rectangle}$

$\frac{\text{Area of rectangle}}{\text{Length of rectangle}}=\frac{\text{Width of rectangle *Length of the rectangle}}{\text{Legth of rectangle}}$

$\text{The width of rectangle}=\frac{\text{Area of rectangle}}{\text{Length of rectangle}}$

Upon substituting our given values in above formula we will get,

$\text{The width of rectangle}=\frac{18x^3\text{ meter}^2}{2x^2\text{ meters}}$

$\text{The width of rectangle}=\frac{9x^3\text{ meters}}{x^2}$

Using exponent rule for quotient $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\text{The width of rectangle}=9x^{3-2}\text{ meters}$

$\text{The width of rectangle}=9x^{1}\text{ meters}=9x\text{ meters}$

Therefore, width of our given rectangle will be 9x meters.

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