2/3x + 4 = 2 Solve the equation algebraically show work to support the answer

now, we're assuming that the prism has a volume of 10³ and is filled with cubes of sides 1/2 long, Check the picture below.

now notice the bottom-right part of the picture, if we put two small cubes next to each other, they add up to 1, so to get 10 units from that, we'll need 20 of those halves, or 20/2 = 10, meaning we'll need 20 cubes side by side to make a length of 10 horizontally.

The same will be true for getting cubes to make up 10 vertically, we'll need 20, the same is true to fill up from back to front, we'll need 20 cubes.

so we can say that the rectangular prism will need 20 cubes from front to back, 20 horizontally and 20 vertically, that'll be 20*20*20 cubes, or 20³ or 8000 cubes.

mind you that we used a Cube for the prism, but the same will be true if we were to rearrange the cubes and make the prism taller or wider, same 8000 cubes will fill it in.

Answer:

theta = 36.87

Step-by-step explanation:

E.A= (4i+3j).5i= 20

|E| |A| =

[tex] | e| |a| = \sqrt{4 ^{2} + {3}^{2} } \times 5 = 25[/tex]

[tex] \cos(theta) = \frac{e.a}{ |e ||a | } = \frac{20}{25} = \frac{4}{5} \\ theta = \cos ^{ - 1} ( {.8} ) = 36.87 [/tex]

Answer:

Step-by-step explanation:

C

Answer:

21+21=42

42-4=38

21x38=798sq ft

Step-by-step explanation:

Add the sales tax to the bill:

Bill with tax = 14.60 x 1.09 = $15.95

Multiply the total bill by the tip percentage:

Tip = 15.95 x 0.19 = 3.02

Tip = $3.02

Answer:

40% is the solution 10÷25=0.40 which is well 40%

Answer:

multiply by 2

Step-by-step explanation:

Answer:

5/49

Step-by-step explanation:

decimal form = 0.10

Answer:

5/49

hope it helps! stay safe as always!

Answer:

9.3 centimeters

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

same explanation as before just replace the current values with the previous explanation

Answer:

After a quick stint of attempting to read the graphs I would speculate D

Answer:

-7/4

Step-by-step explanation:

The slope for line A is 4/7 and you find the perpendicular slope by finding the reciprocal so you would get 7/4 then you multiply that by -1. The end result would be -7/4.

Answer:

— 7/4

Step-by-step explanation:

1) Find the slope of line A:

m=∆y/∆x

=(4—0)/(0+7)

= 4/7

2) When a line is perpendicular to another we have: mm' = — 1

(m' stands for slope of second line)

In this case m' is: m' = — 7/4

Answer:

Yes

Step-by-step explanation:

They are equal acute triangles, are congurent. Your welcom

It’s either C or D, but i’m pretty sure it’s C

Answer:

18

Not sure though but I hope i help you ☺️❤️

Answer: 14

the answer is 14

Answer: 14

Step-by-step explanation: LCMof 2 and 7 is the smallest number among all common multiples of 2 and 7. The first few multiples of 2 and 7 are (2, 4, 6, 8, 10, 12, 14, . . . ) and (7, 14, 21, 28, 35, 42, 49, . . . ) respectively.

Answer:

Step-by-step explanation:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

Answer:

-35.2

Step-by-step explanation:

-68.4-(-15.6)= (-52.8)

-52.8÷3=(-17.6)

-52.8-(-17.6)=-35.2

Answer:-35.2

Step-by-step explanation:

Answer:

13 ft, 17 ft, 22 ft

Step-by-step explanation:

let x be the shortest side, then second side is x + 4 and the third side is

2x - 4

sum the 3 sides and equate to 52

x + x + 4 + 2x - 4 = 52 , simplify

4x = 52 ( divide both sides by 4 )

x = 13

x + 4 = 13 + 4 = 17

2x - 4 = 2(13) - 4 = 26 - 4 = 22

lengths of 3 sides are 13 ft, 17 ft and 22 ft

Answer:

27

Step-by-step explanation:

Because OC biscts AOB, then COA=COB

Therefore AOB is twice COB

10x+4 = 2(6x-3)

10x+4 = 12x -6

2x = 10

x = 5

Therefore COA is 5x6-3 = 27

Answer:

9 degrees

Step-by-step explanation:

OK so we know that m<AOB is equal to the equation 10x+4. With this in mind, we also know that m<COB equals 6x-3. The ray OC intersects m<AOB, so this means that m<COB plus m<COA equals m<AOB.

First, we find m<COA by reversing the equation around to solve for m<COA.

m<AOB - m<COB = m<COA

Then, we Pug in the angles and solve.

m<AOB = 10x+4

m<COB = 6x-3

10x+4 - 6x-3 = 4x+1

Here is where things get interesting. See those 2 lines in each angle? That means they are equal in measure.

So what you do is simple, find what x equals in order to make this equation below true.

6x-3 = 4x+1

The answer for x is 2. So then just plug in to solve for m<COA and you're done!!

4(2)+1 =9

lil bonus: you can also get the same angle degree by plugging  2 into m<COB

Answer:

7.07 or "5 × square root of 3"

Step-by-step explanation:

in an isosceles triangle, the longest side is equal to "x × square root of 3" while the other two sides equal x. hope this helps

Answer:

D) [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]

Step-by-step explanation:

You basically add the corresponding entries for each row and column:

[tex]\left[\begin{array}{cc}1&-4&3&5\end{array}\right]+\left[\begin{array}{cc}-2&6&-2&4\end{array}\right]=\left[\begin{array}{cc}1+(-2)&-4+6&3+(-2)&5+4\end{array}\right]=\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]

Therefore, option D, [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex], is correct.

Answer:

-1.5

Step-by-step explanation:

Answer:

Edges = 18

Step-by-step explanation:

We know that

v - e + f = 2

Where,

v = vertices

e = edge

f = faces

So,

12 - e + 8 = 2

20 - e = 2

20 - 2 = e

18 = e

Answer:

18 edges

Step-by-step explanation:

As said in the answer before it is 18. The equation used to find the answer is the Euler's Formula : F+V=E+2. Where F is faces, V is vertices, and E is edges. If given the F and V then all you have to do is add them together and subtract 2. Toodles ;)

PS: ACELLUS SUCKS

Answer:

x= 131⁰

Step-by-step explanation:

the angles add up to 180⁰ so 180-49=131

131+49=180

hope this helps!!

Answer:

131 degrees. since it's going through 2 parallel lines, 49 is equal to the angle to the left of x, so we subtract 49 from 180 (half of 360) and we get 131

Answer:

[tex]\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{y=\frac{3}{4} x+2} \atop {5x+4y=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {5x+4*(\frac{3}{4}x+2)=-24 }} \right. <=>\left \{ {{y=\frac{3}{4}x+2 } \atop {5x+3x+8=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {8x=-32}} \right. \\<=>\left \{ {{y=\frac{3}{4}x+2 } \atop {x=-4}} \right. <=> \left \{ {{y=\frac{3}{4}*(-4)+2 } \atop {x=-4}} \right. <=> \left \{ {{y=-3+2} \atop {x=-4}} \right. =>\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]

Step-by-step explanation:

3/5 are done, that means 2/5 are still to do.

that means these 30 km are these 2/5.

2/5 x = 30

2x = 150

x = 75

the total distance is 75 km.

Answer:

75 km

Step-by-step explanation:

2/5 = 30 km

→ Find 1/5

1/5 = 15 km

→ Now find 5/5 or 1

1 = 75 km

Answer:

y-intercept = 1

slope = 4

Step-by-step explanation:

The y-intercept is where the line intersects with the y.

And the slope is rise over run, so it rises 4 and walks over 1, therefore the slope is [tex]\frac{4}{1}[/tex] which simplifies to 4.

Hope this helped! :)

Answer:

y intercept (0,1)

slope 4

Step-by-step explanation:

The y intercept is where the graph crosses the y axis

The graph crosses at y =1

(0,1)

We can find the slope by taking rise over run

The graph rises 4 units ( goes up 4 units)

Then goes to the right 1 units

The slope is 4/1 = 4

Answer:

6x+20 cm

Step-by-step explanation:

-formula : perimeter of rectangle=2(L+W)

L=2x+10  W=x

2(2x+10+x)

=2(3x+10) *distribute 2 on 3x ,10*

=6x+20 cm