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3 years ago

Write a positive or negative integer that represents the situation.

Mathematics

1 answer:

irinina [24]3 years ago

3 0

Answer:

-12

Step-by-step explanation:

"+" means positive and addition while "-" has the opposite meaning. The baker discarding (throwing away) the bread means the amount of bread he has decreases. So we use negative to represent this situation.

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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><u>Solution:</u></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

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

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

<em><u>Let us solve the above equation by quadratic formula</u></em>

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

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

Is 1/4a rational number

12345 [234]

Yes 1/4 is a rational number

5 0

3 years ago

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Select all the correct answers.

nalin [4]

Answer: B

Step-by-step explanation:

3 0

3 years ago

Find the partial derivatives of the function w=4r2+6s2+

lyudmila [28]

I'm taking the liberty of editing your function as follows: <span>w=4r^2+6s^2, where I use " ^ " to indicate exponentiation.

The partial of w with respect to r is 8r. That with respect to s is 12s.</span>

8 0

3 years ago

621/87 can anybody help me

Ilia_Sergeevich [38]

Answer:

621/87=7.13793103448

Step-by-step explanation:

I divided it and got this answer

5 0

4 years ago

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