Simplify

12 - 6(2x + 7)

Answer:

ANSWER 5.3 miles

See IMAGE FOR SOLUTION

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Explanation:

Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.

To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.

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The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.

Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas

I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.

The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15

Lastly, we'll add up the sub-areas to get the grand total

A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area

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Another pathway to the answer:

If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions

The order of L,W,H doesn't really matter.

Then we can use the 3D block surface area formula like so

SA = 2*(LW + LH + WH)

SA = 2*(7*5 + 7*3 + 5*3)

SA = 2*(35 + 21 + 15)

SA = 2*71

SA = 142 cm^2 is the surface area

As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.

Answer:

Step-by-step explanation:

At 8:28 exactly one hour had gone by.

To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18  (48 - 2)

Answer: 1 hour and 18 minutes.

Answer:

- 2/3, 6

Step-by-step explanation:

Step-by-step explanation:

x=y

x+2y=6

y+2y=6

3y=6

y=2

Step-by-step explanation:

x=y

x+2y=6

y+2y=6

3y=6

y=2

Answer:

6.25 or 6 2/8 or 6 R2

Step-by-step explanation:

Answer:

4 is bigger than 3

Step-by-step explanation:

4 is bigger than 3

But

-3 is bigger than - 4

[tex]\\ \sf\longmapsto 123,949[/tex]

[tex]\\ \sf\longmapsto 123,95[/tex]

[tex]\\ \sf\longmapsto 123,9[/tex]

[tex]\\ \sf\longmapsto 124[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Note

Write the number until underlined point.I did it till end

Answer:

The number is 123949 (or 123.949 in case comma stands for decimal)

According the rounding rule

Round to the number 4, the second number from the right:

or

Answer:

5

Step-by-step explanation:

the absolute value of -2 is 2

the absolute value of -3 is 3.

Since the question is adding the absolute values, the answer is 5

Percentage = ( number used / total number) x 100

32/90 = 0.3555

0.3555 x 100 = 35.56%

Rounded to nearest tenth = 35.6%

Mary Anne is using about 35.6% of her quilt squares stock.

A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Percentage  = (Value/Total value) × 100.

According to the given question.

Total number of quilt squares Mary Anne have = 90

Number of quilt squares Mary Anne is using = 32

Therefore,

The percent of her quilt square she is using

= [tex]\frac{32}{90} \times 100[/tex]

[tex]= 0.3555\times 100[/tex]

[tex]= 35.6[/tex] %

Hence, Mary Anne is using about 35.6% of her quilt squares stock.

Find put more information about percent here:

https://brainly.com/question/14699403

#SPJ3

Answer:  [tex]18\sqrt{2}\\\\[/tex]

This is the same as saying 18*sqrt(2) or you could say 18√2

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Explanation:

We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

So we could have this as our steps:

[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]

Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

x - 2 < 5   ⇒   x < 7

x + 7 > 6   ⇒   x > -1

Together, we have -1 < x < 7, which in set notation is

[tex]\left\{x \mid -1 < x < 7\right\}[/tex]

(third choice)

Answer:

y = -5/3x + 3

Step-by-step explanation:

First lets turn the equation from standard form to slope intercept form.

3x - 5y = 1

~Subtract 3x to both sides

-5y = 1 - 3x

~Divide -5 to everything

y = -1/5 + 3/5x

~Reorder

y = 3/5x - 1/5

Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.

3/5x -> -5/3x

Now that we have the slope, we can use the given point to find the y-intercept.

y = -5/3x + b

8 = -5/3(-3) + b

8 = 5 + b

3 = b

Put all the information we solved for into a final equation.

y = -5/3x + 3

Best of Luck!

16/9.................

Answer:

16/9

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

multiply by three so 4x3 is 12 and that's 3 equal parts

Answer:

best bet is 6

Step-by-step explanation:

Start at 3, subtract 5 and you get -2

Answer: 16.75

Step-by-step explanation:

Answer:

16.75

Step-by-step explanation:

To find the mean, add up all the number

18+20+16+13

67

Then divide by the number of quizzes

67/4

16.75

Answer:

Base: 24 and height:6

Step-by-step explanation:

Answer:

Base: 24

Height: 6

Step-by-step explanation:

The question says a scale factor of 1/2 so divide by 2. It says scale back

so you know as well that your answer is going to get bigger.

Original Base = 48/2 or (48)x(1/2)

Original Height = 12/2 or (12)x(1/2)

Answer:

a=2 and b=2...............

Answer:

4

Step-by-step explanation:

we have 2oranges from you and another 2oranges from your friend, you have 4oranges, simple

Answer:

3X2 =6-y

6-y

——-

-6-y = -y squared

Step-by-step explanation:

Answer:

880 miles

Step-by-step explanation:

352 - 220 = 132

132 ÷ 0.15 = 880

880 miles

Answer:

x≥ -43

Step-by-step explanation:

at least means greater than or equal to

Let x be the unknown number

x≥ -43

Answer: x= 1, [tex]\frac{1}{5\\}[/tex]

Step-by-step explanation:

The quadratic equation is

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

and

[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

So we just need to sub in the proper numbers from the equation given, in this case, it would result in

[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

and

[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers

x= 1, [tex]\frac{1}{5\\}[/tex]

Answer:

$13.3 per hour

Step-by-step explanation:

for 6 hour the cost is $79.80

for 1 hour the cost is $79.80/6

$13.3 per hour

Answer:

8

Step-by-step explanation:

Slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁)

We have two points on the graph, (2, 16) and (6, 48)

Let's say (2, 16) = (x₁, y₁) ( there's no reason why (6, 48) can't be (x₁, y₁), but one of them has to be it) and (6, 48) = (x₂, y₂). Our slope is then

(y₂-y₁)/(x₂-x₁) = (48-16) / (6-2) = 32 / 4 = 8

Answer:

y=2 x=4

Step-by-step explanation:

Substitute x with 2y so the second equation is 2y+y=6

Then simplify your new equation:

3y=6

y=2

If y=2 and x=2( 2) then x=4

Answer:

Y=K×X

when Y=-8 and X=4

-8=K×4

-8=4K divide both sides by 4

K=-2 constant

To find Y when X=-4,Y=? and K=-2

Y=-2×-4

Y=8