Reagan used 1,297 sq ft of wrapping paper to wrap gifts for everyone in her class. If each gift used the same amount of wrapping paper and she wrapped 24 gifts, how much wrapping paper did she use for each gift?

Answer:

The values of x for which the model makes sense is [tex]x\ge 6\,ft[/tex].

Step-by-step explanation:

From statement we have the following expression for the volume of the rectangular room is:

[tex]V(x) = 2\cdot x^{3}-14\cdot x^{2}+12\cdot x[/tex] (1)

Where:

[tex]V[/tex] - Volume of the rectangular room, measured in cubic feet.

[tex]x[/tex] - Length of the room, measured in feet.

By Algebraic means we factorize the polynomial:

[tex]V(x) = x\cdot (2\cdot x^{2}-14\cdot x +12)[/tex]

[tex]V(x) = x\cdot (x-6)\cdot (x-1)[/tex]

Given that both volume and length must be positive variables, then the following conditions must be satisfied:

[tex]x \ge 0\,ft\,\land\,x\ge 6\,ft\,\land\,x\ge 1\,ft[/tex]

Then, the values of x for which the model makes sense is [tex]x\ge 6\,ft[/tex].

Answer:

A) x=9

Step-by-step explanation:

48-12=36.

36/4=9

More detailed explanation:

4x+12=48

    -12    -12

     4x = 36

     /4     /4

     x   =    9

The solution of the equation is, x = 9.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The equation is,

⇒ 4x + 12 = 48

Now, We can solve the equation for value of x as;

⇒ 4x + 12 = 48

Subtract 12 both side, we get;

⇒ 4x + 12 - 12 = 48 - 12

⇒ 4x = 36

Divide by 4;

⇒ 4x/4 = 36/4

⇒ x = 9

Learn more about the mathematical expression visit:

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Answer:

[tex]\displaystyle -0.\overline{37}=-\frac{37}{99}[/tex]

Step-by-step explanation:

Convert a Repeating Decimal to a Fraction

We need to convert the following decimal to a fraction:

[tex]-0.\overline{37}[/tex]

Let's call x to the given number:

[tex]x=-0.\overline{37}[/tex]

The number has two repeating (periodic) decimals, thus we multiply by 100:

[tex]100x=-37.\overline{37}[/tex]

Note the decimals continue to repeat exactly like the original number.

Subtracting both expressións, the repeating decimals are simplified:

[tex]100x - x = -37[/tex]

Operating:

99x=-37

Dividing by 99:

[tex]\displaystyle x=-\frac{37}{99}[/tex]

The fraction cannot be simplified, thus:

[tex]\mathbf{\displaystyle -0.\overline{37}=-\frac{37}{99}}[/tex]

Answer:

3/16

Step-by-step explanation:

so since there isnt a half of 3/8 we would multiply the number x2 so the number is 6/16 and half of that is 3/16 becuase 6 can be split in half

Answer:

146 square meters

Step-by-step explanation:

We can split the figure into a 6 by 15 rectangle and a parallelogram (8 base, 7 height).

Answer:

is this helpful or do i need to add more because this is all i could figure out :/

Step-by-step explanation:

one solution = -82 - 30=- 112

many solution = 6y - 12

no solution = -5n = 3 - 5n

infinite solution = -32 = 8 - 2

hope this helps

Answer:

7. -

a. 3.5 or 7/2 hours

b. 24.5

c. After 7 hours (and at the beginning when t=0)

8. -

a. 4 seconds

b. 1 second

c. 54 meters

Step-by-step explanation:

7. M(t)=-2t^2+14t

M’(t)=-4t+14

a)

-4t+14=0

4t=14

2t=7

t=7/2

b) M(7/2)=24.5

c)

M(t)=0

-2t^2+14t=0

t^2-7t=0

t(t-7)=0

t=0, 7

8.

a)

h(t)=0

-6t^2+12t+48=0

t^2-2t-8=0

(t-4)(t+2)=0

t=-2, 4

t=4

b)

h(t)=-6t^2+12t+48

h’(t)=-12t+12

h’(t)=0

-12t+12=0

12t=12

t=1

c) h(1)=54

I hope this helps; please vote brainliest!

Answer:

This expresion is not factorable. If you have any questions, please ask me!

[tex]3x-2\geq-11[/tex]

[tex]3x\geq-9[/tex]

[tex]x\geq-3[/tex]

[tex]x\in[-3, \infty)[/tex]

Hope this helps.

Answer:

x=1.47

Step-by-step explanation:

15(x-1)+4(x+3)=2(x+9)+4

15x-15+4x+12=2x+18+4

19x-3=2x+22

17x=25

x=25/17

x=1.47

x=1.47

hope this helps

Answer:

0.52=0.42+0.23-P(A and B)

P(A and B)=0.13.

Step-by-step explanation:

If this is right, please rate. Im sure its right though.

Answer:

(1,3)

Step-by-step explanation:

starting at (0,0)

vertically scaled by 4 - go up four (0,4)

reflected on y axis - negative the four (0,-4)

translated 1 to the right and 7 up - go up 7 and to the right 1 (1,3)

hope this helps :)

Answer:

whats the question?

Step-by-step explanation:

Answer:

Yes! I can help you!

Step-by-step explanation:

Where is the question?

Answer:

No, the first ten perfect cubes are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

Answer:

Y=-5/4+20

Step-by-step explanation:

Answer:

Ya dig?

Step-by-step explanation: You gon choose me baby.

Answer:

Thank you I needed this today *smiles*

Step-by-step explanation:

Answer:

8x

Step-by-step explanation:

Answer:

I would rather have it stop at 0.50 seconds.

Step-by-step explanation:

I would rather have it stop at 0.50 seconds. So I can have time to get over my nervous.

Answer:

Team Blue

Step-by-step explanation:

The reason this is, is because for each day that passes, they make 5 more light bulbs. This is in relation to the days that pass.

Answer:

for number 4 i think it is option 3

Answer:

(0, 4)

Step-by-step explanation:

Take a look on the Y axis. (line where it has Y on the top, Runs up and down).

It's asking which coordinates are placed on it. So, It would be (0, 4)

Answer:

The correct answer is D

Step-by-step explanation:

the x coordinate is 0 and the y coordinate is 4

Answer:

B

beacuse f and x are f  -5 and x   5

Answer:

It would be positive

Step-by-step explanation:

To do anything with fractions you need to find a common denominator, in this case lets say its 128. the 9 in the negative side would need to be multiplied by 8 like it's denominator making it 72. You would do the same to the other fraction giving you the fractions -72/128 and 144/128 from here you add to get 72/128 which is positive

Answer:

positive

Step-by-step explanation:

-9/16= -0.5625

9/8= 1.125

-9/16+9/8= -0.5625 + 1.125(in the addition of opposite signs u should figure out the largest num and should substract the other numa nd assign the sign of the biggest nym)

              =0.5625

  the reason

             + * + = +

              - * - = +                                              

              + * - = -

              +/+ =+

              - / - = -

              -/ + = -

              + / - = -