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artcher [175]
3 years ago
9

What is the solution to the equation shown below?

Mathematics
1 answer:
grin007 [14]3 years ago
6 0
x + 5/2 = 2(x + 3)
D. -7/3
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The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

8 0
3 years ago
A cylinder has a base diameter of 16 feet and a height of 19 feet. What is its volume in cubic feet, to the nearest tenths place
Tresset [83]

Answer: Volume = 3818.2 cubic feet

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Diameter = 16 feet

Radius = diameter/2 = 16/2

Radius = 8 feet

Height = 19 feet

Therefore,

Volume = 3.14 × 8² × 19

Volume = 3.14 × 64 × 19

Volume = 3818.2 cubic feet rounded to the nearest tenth

6 0
3 years ago
Lara planted some seeds. For every 3 seeds Lara planted, only 2 seeds grew.
Tresset [83]

Given:

For every 3 seeds Lara planted, only 2 seeds grew.

Altogether, 12 seeds grew.

To find:

The number of total seeds planted by Lara.

Solution:

It is given that for every 3 seeds Lara planted, only 2 seeds grew. It means the ratio of total seeds planted to seeds grew is 3:2.

Altogether, 12 seeds grew.

Let x be the number of total seeds planted by Lara. Then,

x:12=3:2

\dfrac{x}{12}=\dfrac{3}{2}

x=\dfrac{3}{2}\times 12

x=18

Therefore, the total number of seeds planter by Lara is 18.

3 0
3 years ago
Quick answer please ddd
ikadub [295]

Answer:

C

Step-by-step explanation:

It makes the most sense.

4 0
3 years ago
Read 2 more answers
4.7 is 10 times as much as what number
viktelen [127]

Answer: 4.7 is 10 as much as the number 0.47.

If you multiply 0.47 x 10 it will equal 4.7

4 0
3 years ago
Read 2 more answers
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