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Maru [420]
2 years ago
11

Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20% more dishes than the previous menu. The previ

ous menu had D dishes.
Which of the following expressions could represent how many dishes Crispy Clover's new menu has?

Mathematics
1 answer:
fiasKO [112]2 years ago
7 0

Option A

Explanation:

Given that Crisply clover is a popular vegetarian restaurant.

It introduced a new menu

The new menu had 20% more dishes than the previous menu

Let the dish as per previous menu = D

Now added for new dish 20% = (20/100)D

Simplify to get 1/5 D

Hence new menu has = D+(20/100)D

= D+1/5 D

Thus we find that option A is the right answer,

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A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions
salantis [7]

Dimensions are length 20 meter and width 14 meter

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

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

<em><u>A rectangle has width that is 6 meters less than the length</u></em>

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

<em><u>The area of the rectangle is given by formula:</u></em>

Area = length \times width

<em><u>Substituting the values we get,</u></em>

Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0

<em><u>Solve the above equation by quadratic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}

a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14

Since, length cannot be negative, ignore a = -14

<em><u>Thus solution of length is a = 20</u></em>

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

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Solve the equation for x.<br><br> 1<br> 4<br> (2x + 8) = −16
dimaraw [331]

Answer:Let's solve your equation step-by-step.

1

4

(2x+8)=−16

Step 1: Simplify both sides of the equation.

1

4

(2x+8)=−16

(

1

4

)(2x)+(

1

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Step 2: Subtract 2 from both sides.

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1

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x=−36

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