Sam glued 21 identical cubes together to form the solid shown below. He painted the exposed faces of the solid including the base. Find the total area that Sam painted. ​

Answer: 7

Step-by-step explanation:

1. multiply both sides by -6 so the -6 on the right side could cancel out and the left side would be -6:  1= a-13/-6 ==> -6=a-13

2. add both sides by 13 so -13 on the right side could cancel out and the left side would be -6+13: -6=a-13 ==> -6+13=a-13+13

3. you know -6+13 equals 7 right? so the answer is a=7

Hey there! I'm happy to help!

We want to get the a all by itself. For me, I always like to have the variable on the left side, so first, let's just flip this around.

[tex]\frac{a-13}{-6} =1[/tex]

What we want to do is get all of the constants (numbers without variables) on the right side. This will leave a all on its own.

We see that the quantity a-13 is being divided by -6. To undo this, we will just multiply both sides by -6. This will cancel out that -6 and get us closer to having the a isolated.

[tex]\frac{a-13}{-6} *-6=1*-6\\\frac{a-13}{1}=-6\\a-13=-6[/tex]

Now we add 13 to both sides to undo the -13 on the left side.

[tex]a-13+13=-6+13[/tex]

[tex]a+0=7\\a=7[/tex]

Have a wonderful day and keep on learning! :D

Answer:

Positive correlation means that as the first variable increases, the second variable increases as well. ... Negative correlation would mean that as one variable increases, the second variable decreases. Negative correlation corresponds to points that move down as you go from left to right on your scatter plot

Hope this helps you!

Answer:

25, 432, 120

Step-by-step explanation:

a. 5 × 5 = 25 ways

b. 2 × 6 × 6 × 6 = 432 ways

c. 2 × 5 × 4 × 3 = 120 ways

Answer:

A

Step-by-step explanation:

You are given that x - 3 = 8

It's an equation. The first thing you do is add or subtract when you are learning how to handle equations. This is a level 1 equation. That means that the solution is just to add or subtract something.

In this case, x has 3 taken away from it. So you have to get x by  itself. The way to do that is to add 3. Then the -3 on the left disappears.

x - 3 + 3 = 8+3

x = 11

The answer is A

Answer:

don't know actually but I can elaborate the solution

Step-by-step explanation:

x-3=8

x=8+3

Answer:

one where 36 is unshaded

Answer:

the first one

Step-by-step explanation:

Answer:

z = 2y - 4x

Step-by-step explanation:

[tex]{ \sf{x = \frac{2y - z}{4} }} [/tex]

multiply both sides by 4:

[tex]{ \sf{(4 \times x) = ( \frac{2y - z}{4}) \times 4 }} \\ \\ { \sf{4x = 2y - z}} \\{ \sf{z = 2y - 4x}}[/tex]

Let D denote the region whose boundary is C. By Green's theorem,

[tex]\displaystyle \int_C 8y^2x\,\mathrm dx + 6x^2y\,\mathrm dy = \iint_D \frac{\partial(6x^2y)}{\partial x} - \frac{\partial(8y^2x)}{\partial y} \,\mathrm dx\,\mathrm dy \\\\ = \int_0^3 \int_0^3 (12xy-16yx)\,\mathrm dx\,\mathrm dy \\\\ = -4 \int_0^3 \int_0^3 xy\,\mathrm dx\,\mathrm dy = \boxed{-81}[/tex]

Hey there!

I believe this would be your answer: [tex]\frac{a^2+ab+b^2} {a+b}[/tex]

Hope this helps!

Have a great day!

Answer:

3/8 simplified is still 3/8 (0.375 in decimal form)

9/64 simplified is also still 9/64 (0.140625 in decimal form)

Step-by-step explanation:

Answer:

-19[tex]x^{2}[/tex] + 8x + 6

Step-by-step explanation:

−12[tex]x^{2}[/tex]−5x−7[tex]x^{2}[/tex]+6+13x

= −12[tex]x^{2}[/tex]−7[tex]x^{2}[/tex]+13x-5x+6

= -19[tex]x^{2}[/tex] + 8x + 6

Answer:

230cm²

Step-by-step explanation:

We can split the shape into 2 parts - the triangle and the rectangle.

The area of the retangle is 10*17cm = 170cm²

The area of the triangle  = 1/2 * (22-10) * (17-7)

                                         =  1/2 * 12 * 10 = 60

Therefore the total area is equal to 170+60 = 230cm²

Answer:

45000rupees

Step-by-step explanation:

cost of 1 litre of petrol=60rupees

cost of 750 litres of petrol=750×60rupees

=45000rupees

1.

Paul's present age = x

John's present age = 18

Paul's age 4 years ago = x - 4

John's age 4 years ago = 18 - 4 = 14

Also,

Paul's age four years ago was twice that of John's age four years ago.

Therefore,

Paul's age 4 years ago = 2(14)

= 28

Paul's age 4 years ago = x - 4 = 28

x - 4 = 28

x = 28 + 4

x = 32

Therefore, the present age of Paul is 32.

2.

Cost of one bottle of milk = $3.2

Cost of five bottles of milk = $3.2 × 5 = $15

Cost of four bottles of juice = $15 - $4.4

= $10.6

Cost of one bottle of juice = x

= Cost of four bottles of juice

4

= 10.6

4

= 2.56

Therefore, one bottle of juice costs $2.56.

3.

Savings spent on personal ornaments = 1/8

Savings spent on clothing = 5/6

Total savings spent = 1/8 + 5/6

= 3/24 + 20/24

= (3+20)/24

= 23/24

Savings left = 1/24 = $130

Total amount of savings = x

As 130 is one part of the total savings,

Total amount of savings =

x = 130 × 24

x = 3120

Therefore, original amount of savings is $3120.

Answer:

a.36

b.8.5

c.2.5

d.6

e.9

f.8

Answer:

y^2

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Answer:

[-5, 2]

Step-by-step explanation:

We have to find the interval for which f(x) <= 0, the interval is [-5, 2].

Answer:

(-1,-5)

Step-by-step explanation:

To understand where this point was before the transformation you must first understand the transformation itself. Shifting left is a horizontal translation, this means that it will affect the x-coordinate. The x-coordinate is the first digit in the pair. Therefore, in the case of (3,5), 3 would be the x-coordinate. Additionally, moving left is moving towards the negative, so it is the same as subtracting. Thus, to find where you started, work backward. Do this by adding 4 to the x-coordinate. This means the beginning coordinate was (-1,-5).

Answer:

-18 is answer vvv9p6trrrd

9514 1404 393

Answer:

  C)  41

Step-by-step explanation:

The angles of the linear pair are supplementary, so you have ...

  (x +16)° +123° = 180°

  x = 41 . . . . . . . . . . . . . . divide by °, subtract 139

Answer:

x = 41

Step-by-step explanation:

The angles shown are supplementary

Supplementary angles add up to equal 180

This means that x + 16 + 123 = 180

x + 16 + 123 = 180

Solve for x

Combine like terms ( add 16 and 123 )

x + 139 = 180

Subtract 139 from both sides

x = 41

Answer:

(3)

x = 0

y = 3/7

(4)

x = 6

y = -11

Step-by-step explanation:

the beginning was right, but get mistake was then to add the 2 equations but the parts with the y terms she suddenly subtracted.

no, one operation for everything. and then maybe another operation (and again for everything present).

so, some would multiply by -2 and then truly add.

or, as we will do it now to refuse as much as possible from your friend's work, we multiply by 2 and then SUBTRACT !

5x + 7y = 3

3x + 14y = 6

multiply the first equation by 2 and then subtract the second one.

10x + 14y = 6

- 3x + 14y = 6

-----------------------

7x + 0 = 0

=>

x = 0

then we use this e.g. in the first equation to get y :

5×0 + 7y = 3

7y = 3

y = 3/7

10x + 3y = 27

3x - 5y = 73

let's go e.g. for 15y (multiply the fits by 5 and the second by 3)

50x + 15y = 135

+ 9x - 15y = 219

------------------------

59x + 0. = 354

59x = 354

x = 6

10×6 + 3y = 27

60 + 3y = 27

3y = -33

y = -11

Answer:

10.22

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

10 × 9 = 90

Step 2: Add the product you got in Step 1 to the numerator:

90 + 2 = 92

Step 3: Divide the sum from Step 2 by the denominator:

92 ÷ 9 = 10.222222

Answer:

1/4= 0.5=0.125, 2/4=0.5=0.125, 3/4= 0.75=0.1878

Answer:

First question(-14)

Second question(-24)

Step-by-step explanation:

8 x 3 = 24/since the signs are different the number will be negative.

7 x -2 = -14/since the signs are different the number will be negative.

hope this helps!! plz mark as brainly if it helps you<3

Answer:

$4, 15 x 2=30

      2 x 2=4

Answer:

4 dollars

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

----------------- = -------------

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4

Answer:

22 cubes

Step-by-step explanation:

Hi! I'm happy to help!

Perimeter is the total length of all the sides.

Let's start out with the top left corner and work our way counterclockwise.

For our first segment, we start from the top left corner and go to the bottom left corner, this is a length of 3, let's start our equation:

3+

Next, we are at the bottom left corner, let's go to the bottom right corner. This is a length of 5. Let's expand our equation:

3+5+

Now we are at the bottom right corner, let's go to the top right corner. This is also a length of 3. Let's add that to our equation:

3+5+3+

Now we are at the top right corner, lets go to the top middle right corner, which is to the left one unit. Let's add this:

3+5+3+1+

Now, let's head down 2 units to the inside of our shape.

3+5+3+1+2+

Move toward the center one unit:

3+5+3+1+2+1+

Move up one unit:

3+5+3+1+2+1+1+

Move left one unit:

3+5+3+1+2+1+1+1+

Move down one unit:

3+5+3+1+2+1+1+1+1+

Move left another unit:

3+5+3+1+2+1+1+1+1+1+

Start heading back up 2 units towards the top left corner:

3+5+3+1+2+1+1+1+1+1+2+

Finally, reach back 1 unit to the top left corner:

3+5+3+1+2+1+1+1+1+1+2+1=

Let's solve:

3+5+3+1+2+1+1+1+1+1+2+1=

8+3+1+2+1+1+1+1+1+2+1=

11+1+2+1+1+1+1+1+2+1=

12+2+1+1+1+1+1+2+1=

14+1+1+1+1+1+2+1=

15+1+1+1+1+2+1=

16+1+1+1+2+1=

17+1+1+2+1=

18+1+2+1=

19+2+1=

21+1=

22

Our perimeter is 22.

I hope this was helpful,(I think this was longer than it needed to be) keep learning! :D

Answer:

41

Step-by-step explanation:

i think i dont know that much

Answer:

126720

Step-by-step explanation:

Answer:

3x-721/44 over 7

Step-by-step explanation:

1)Combine multiplied terms into a single fraction

2)Multiply the numbers

3)Subtract the numbers

4)Find common denominator

5)Combine fractions with common denominator

6)Multiply the numbers

7)Rearrange terms