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3 years ago

List smallest to geatist 0.83, 0.6, 0.7?

Mathematics

1 answer:

USPshnik [31]3 years ago

5 0

Snallest to the greatest
0.6, 0.7, 0.83

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A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the

victus00 [196]

The width of border is 1.5 feet

<h3>Solution:</h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

$(9 + 2x)(13 + 2x) =192$

$117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0$

Let us solve the above equation by quadratic formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

For $4x^2 + 44x - 75 = 0$ , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

$\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}$

$\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}$

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0

3 years ago

Speed test cost $5 each and large one-topping pizzas cost $6 each write an equation that represents the total cost t of c large

yKpoI14uk [10]

Answer:

Equation t = 5c + 6d represents total cost t of c large pizzas and d large one-topping pizzas

Solution:

Given that

Cost of large pizza = $5 each

Cost of large one-topping pizza = $6 each

Need to write the equation that represents total cost t of c large pizzas and d large one topping pizzas.

From given information

Cost of 1 large pizza = 5

So cost of c large pizzas = c x 5 = 5c

Cost of 1 large one-topping pizza = 6

So cost of d large one-topping pizzas =d x 6 = 6d

Total cost t = cost of c large pizzas + cost of d large one-topping pizzas

=> t = 5c + 6d

Hence equation t = 5c + 6d represents total cost t of c large pizzas and d large one-topping pizzas.

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3 years ago

Parallel lines are always what?

MArishka [77]

Answer:

parallel lines never touch each other

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3 years ago

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Varvara68 [4.7K]

Answer:

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4 years ago

What is the decimal equivalent of 8%

Agata [3.3K]

I believe it would be 0.08

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3 years ago