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Ksju [112]
3 years ago
5

-1/3+4+2/3 what is the answer plz and thank you

Mathematics
1 answer:
koban [17]3 years ago
5 0
Hi there!

-  \frac{1}{3}  + 4 +  \frac{2}{3}  =
First we rearrange the sum in order to add both of the fractions first. We can rearrange because the only thing we need to do is adding.

-  \frac{1}{3}  +  \frac{2}{3}  + 4 =
Add the fractions.
** If you don't get this, think of this story: you lack 1/3 of an apple pie and someone gives you 2/3 of pie. How much pie do you have left?
- 1 / 3 + 2 / 3 = 1 / 3 **

\frac{1}{3}  + 4 =
Finally add 4 to our found fraction.

\boxed{ 4\frac{1}{3} }
Therefore, the answer is 4 1/3.

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What is the slope and y intercept of the linear equation y=5x-4
Wittaler [7]
The slope is 5
the y intercept is -4

slope intercept form is: y=mx+b

M is always the slope, b is the y intercept.

Hope I helped!
3 0
3 years ago
Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large
Debora [2.8K]

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

3 0
3 years ago
2.
Novay_Z [31]

Answer:

4096

Step-by-step explanation:

3 0
3 years ago
If DF = 9x-39, find EF.
otez555 [7]

DF=DE+EF\\\\DF=9x-39\\DE=47\\EF=3x+10\\\\\text{substitute}\\\\9x-39=47+3x+10\\9x-39=3x+57\ \ \ |-3x\\6x-39=57\ \ \ \ |+39\\6x=96\ \ \ \ |:6\\x=16\\\\\text{put the value of x to the expression}\ 3x+10\\\\EF=3(16)+10=48+10=58

Answer: EF = 58

7 0
3 years ago
63 miles in 270 minutes, what is the average speed in miles per hour
bearhunter [10]

Answer:

14 miles per hour

Step-by-step explanation:

Convert 270 minutes to hours first= 4.5hrs

Then divide 63 by 4.5= 14

5 0
3 years ago
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