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4 years ago

9

Is -5/6 a rational number

1 answer:

hjlf4 years ago

5 0

Yes it is. rational #s can be expressed in the form of a fraction. where the numerator and the denominator do not equal zero.

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Simplify: (–84 17) – | –29 – 18 |

Viktor [21]

Answer:

. -114

Step-by-step explanation:

got it right????

but correction for your question (-84+17)-(-29-18)

7 0

3 years ago

Find the missing angle in the triangle below

Makovka662 [10]

The answer would be 58

180 - 65 - 57 = 58 which is the missing angle

8 0

3 years ago

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Which of the following would be a solution to the system of inequalities below?

shutvik [7]

I think it should be C

7 0

3 years ago

Simplify <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B324%7D%20" id="TexFormula1" title=" \sqrt{324} " alt=" \sqrt{324} "

Advocard [28]

C-18
√324= √2^2•3^4= √2^2•√3^2•3^2= √2^2•√3^2•√3^2=2•3•3=18

6 0

3 years ago

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Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240

Alisiya [41]

Let's call the length of the rectangular fence $l$ and the width of the rectangular fence $w$ .

Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

$A = lw$

$P = 2l + 2w$

Now, let's substitute in the values we are given in the problem:

$240 = lw$

$68 = 2l + 2w$

Now, let's solve the system using substitution.

$240 = lw \Rightarrow \dfrac{240}{w} = l$

Solve for $l$ from the first equation

$68 = 2\Bigg( \dfrac{240}{w} \Bigg) + 2w$

Substitute this value into the second equation

$68 = \dfrac{480}{w} + 2w$

Simplify

$68w = 480 + 2w^2$

Multiply both sides of the equation by $w$

$2w^2 - 68w + 480 = 0$

Subtract $68w$ from both sides of the equation

$(2w - 48)(w - 10) = 0$

Factor

$2w - 48 = 0$ and $w - 10 = 0$

Use the Zero Product Property and solve both factors

$2w - 48 = 0 \Rightarrow 2w = 48 \Rightarrow w = 24$

$w - 10 = 0 \Rightarrow w = 10$

We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

$w = 24 \Rightarrow 240 = l(24) \Rightarrow l = 10$

$w = 10 \Rightarrow 240 = l(10) \Rightarrow l = 24$

Thus, our answer is Choice C, or 10 feet by 24 feet.

4 0

3 years ago