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3 years ago

15

The set of numbers that includes the whole numbers and their opposites is called the set of _____.

2 answers:

kirza4 [7]3 years ago

8 0

C.integers is the answer

Misha Larkins [42]3 years ago

5 0

The answer is an integer

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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

Can anyone help me?

suter [353]

Answer:

0.8

Step-by-step explanation:

3(5x+2)+10=4

=15x+6+10=4

After this step you subtract 6 from each side and then subtract 10 from each side and then after that you divide 15x on each side which will give you 0.8.

8 0

2 years ago

X+3y=18 3x+9y=12 determine weather the graphs of each pair of equations are parallel, perpendicular, coinciding, or none of thes

MariettaO [177]

The two lines are parallel.

6 0

3 years ago

Brian has a pies that is 10 inches is diameter. he has 9 people over and would like everyone to have a equal slice . how long is

krek1111 [17]

3.14 inches so they each get a $\pi$ of pie

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3 years ago

X^2 - 25 = 25 solve for x

Nezavi [6.7K]

Answer:

$\tt x=\pm5\sqrt{2}$

Step-by-step explanation:

$\tt x^2 - 25 = 25$

$\tt x^2-25+25=25+25$ (Add 25 to both sides)

$\tt x^2=50$ ( Take square of both sides)

$\tt x=x=\sqrt{50},\:x=-\sqrt{50}$

$\tt x=\pm5\sqrt{2}$

~

3 0

2 years ago