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3 years ago

Simplify the following equation -3(2x - 4) A. -6x - 4 B. -5x-7 C. -6x + 12 D. -6x + 12

Mathematics

2 answers:

Aliun [14]3 years ago

7 0

Answer is d because -3 x 2x = -6x and -3 x -4 = +12

azamat3 years ago

5 0

$-3(2x - 4) \\ \\ -6x + 12 \\ \\$

The final result is: -6x + 12.

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You must calculate the number of sheets of plywood needed for subflooring. Each sheet of plywood measures 4'by 8. The measuremen

snow_lady [41]

Answer:

25 sheets of plywood will be needed

Step-by-step explanation:

Each sheet of plywood measures $4ft*8ft=32ft^{2}$ .

We have to cover the surface of the house, minus the surface of the hole of the stairs.

$Surface _{to cover} = Surface _{house} -Surface _{hole}= (28ft*30ft)-(12ft*4ft)= 840ft^{2}-48ft^{2}=792ft^{2}$

To know how many sheets will be needed, we divide the surface to be covered by the surface of each sheet

$Sheets_{needed} =\frac{Surface _{house}}{Surface _{sheet}} =\frac{792ft^{2}}{32\frac{ft^{2}}{sheet} } = 24,75 sheets$

As we can't buy 0,75 of a sheet, we round it up, i.e. we will need 25 sheets of plywood for subflooring.

8 0

3 years ago

Mike, Luke, and Alex each own a white hat marked with the first letter of their name. Winter owns a plain red hat, which is not

Karo-lina-s [1.5K]

Answer:switch mikes Luke’s and Alex in between each other and let winter keep her own

Step-by-step explanation:

7 0

2 years ago

Please help me with both problems thank you so much!!

motikmotik

The one on the left is -5/6
The one on the right is 1/21

6 0

2 years ago

Read 2 more answers

If AB=6x-7 and BC=5x-3 find AC

luda_lava [24]

Answer:

AC= AB+BC

= 6x-7+ 5x-3

= 11x-10

4 0

3 years ago

Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.

stealth61 [152]

The slope-point form of a line:

$y-y_0=m(x-x_0)$

The slope-intercept form of a line:

$y=mx+b$

$m=6,\ (4,\ 1)\to x_0=4,\ y_0=1$

Substitute

$y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}$

$m=-5,\ (6,\ -3)$

Substitute

$y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}$

$m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}$

$m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}$

3 0

3 years ago