When f(n)=12, what is the value of n?

Answer:

[tex]A(w) = (40 - w) * w[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] ---- perimeter

Required

Write the area as a function of width

The perimeter of a rectangle is:

[tex]P =2(l + w)[/tex]

Where

[tex]l \to length\\ w \to width[/tex]

So, we have:

[tex]80 = 2*(l+w)[/tex]

Divide by 2

[tex]40 = l + w[/tex]

Make l the subject

[tex]l =40 - w[/tex]

The area of a rectangle is:

[tex]A = l * w[/tex]

Substitute: [tex]l =40 - w[/tex]

[tex]A = (40 - w) * w[/tex]

Hence, the function is:

[tex]A(w) = (40 - w) * w[/tex]

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Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

(-1 & 1/4) + 1/2

-(1 & 1/4) + 2/4

-(1 + 1/4) + 2/4

-1 - 1/4 + 2/4

-1 + (-1/4 + 2/4)

-1 + 1/4

-4/4 + 1/4

-3/4

which points us to choice C as our final answer

Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.

Side note: -3/4 converts to the decimal -0.75

Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]

Step-by-step explanation:

Given

Mr. Caldwell has 10 full pizzas and half of another one

he wants to distribute it in among 8 of his students

Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]

So, each student gets

[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]

that is 1 pizza and five-sixteenth part of a pizza.

1 5/6 + 1 1/3 = 3 1/6

3 1/6 * 60 = 190

Answer:

4

Step-by-step explanation:

f(-8)=-2(-8)-12

f(-8)=16-12

=4

Answer:

it will take 18 min

Step-by-step explanation:

1/45+1/30=2/90+4/90=5/90=90 divided by 5 is 18

Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Step-by-step explanation:

Give: Length = 8 feet

Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

[tex]Area = length \times width[/tex]

Substitute the values into above formula as follows.

[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]

Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Answer:

every other student who enters the school

Step-by-step explanation:

It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.

It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.

Thus we can say that every other student who enters the school has a average height of 5.25 feet.

This sample makes the generalization about the heights of the school students valid.

Answer:

c

Step-by-step explanation:

correct on edmentum / plato

Answer: 28 hours

Step-by-step explanation:

1. Write original equation: 7.15x=3.40x+105

2. Combine like terms to isolate x: 3.75x=105

3. Divide both sides by same amount to find x: x=28

They would have to work 28 hours to earn the same amount of money.

Answer:

38sq yards

Step-by-step explanation:

Separate it into parts

3x2 for the top section

8x4 for the bottom

6+32=38

Answer: The answer is y= f(x+1)+5

Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.

Answer: 1600g

Step-by-step explanation: (4 * 2kg) / 5 = 8/5kg

8/5kg = 1.6kg

1.6kg * (1000g / 1kg) = 1600g

Answer:

1 3/5kg.

Step-by-step explanation:

So, to figure this out, lets go over what we know.

There is 2kg.

We need to find 4/5 of this.

A way you can think of this is 2kg*4/5. Or:

2*4/5

Remember, all whole numbers have a denominator of 1. So this is:

2/1*4/5

Or

[tex]\frac{2}{1} *\frac{4}{5}[/tex]

When doing multipaction, the numerator multipies hte numeraot, and the denominator multiplies the denominator.

So in the numerator, it will be 2 times 4:

2*4=8

And in the denominator, it will be 1 times 5:

1*5=5

So the answer is:

8/5

Hope this helps!

Answer:

B., E.

Step-by-step explanation:

what was the difficulty ? this is just to understand the movement of a thrown rock.

what happens, when you throw a rock through the air ? it will first move up a little bit, reaches a maximum height, and then drops down again.

that is what the graphic shows.

so, can A. be correct ? no. as we move from 0 seconds to the right (time passes) the height of the rock increases first (before decreasing again later on).

can C. be correct ? no, it would mean that the function would look the same on both sides of the x-axis. this is clearly impossible.

can D. be correct ? no, nowhere in the graph is the height (= the functional value, the y to the x) negative.

can F. be correct ? no, we clearly see the maximum height at 1.5 seconds. at 3 seconds the height is actually at its minimum.

e is the the answer.....

Answer:

Ummmm its just a black screen

Step-by-step explanation:

Answer:

Nope it isn't linear.

Step-by-step explanation:

Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly

for instance you put 2,4

4 = -4(2)+12

4 = -8+12

that is true

but if you put in (5,-1)

-1 = -4(5)+12, which is not true

if all of them is true, then it would be true.

if even ONE of them is not true, then the who line is not linear

Answer:

i think it will be chose 3 times

Step-by-step explanation:

im not sure thats my pridiction

Answer:

0.4

Step-by-step explanation:

Answer:

Yes and Yes

Step-by-step explanation:

If you fold them over on both sides then they overlap perfectly, therefore they are reflective.

Answer:

$4

Step-by-step explanation:

2/100 x 200 = 4

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

Answer:

[tex]4,060[/tex]

Step-by-step explanation:

[tex]\binom{30}{3}=\boxed{4060}[/tex]

There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.

Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.

Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].

Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]

Answer:

i^85 = i

A way you can solve this is divide 85 by4

The remainder is one right? that means i^85 is the same as i^1. remember, i^1 = i.

Answer:

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Step-by-step explanation:

4x + y = 22

y = x - 3

4x + y + y = 22 + x - 3

4x + 2y = 19 + x

4x - x + 2y = 19 + x - x

3x + 2y ÷ 3 = 19 ÷ 3

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Answer:

a)Let's solve for x.

4x+y=22

Step 1: Add -y to both sides.

4x+y+−y=22+−y

4x=−y+22

Step 2: Divide both sides by 4.

4x

4

=

−y+22

4

x=

−1

4

y+

11

2

a)y=x−3

b)y=

−1

2

x+6

b)x=y-12

Answer:

4/3 ÷ 2/5

= 4/3 × 5/2

= 4×5/3×2

= 20/6

= 10/3 = 3  1/3 or 3.3333

Answer:

RO = 17.9

Step-by-step explanation:

If they're similar, the fraction between their sides need to be equal, so do this:

NK/NM = RO/RQ

71.6/64 = RO/16

71.6•16/64 = RO

RO = 17.9

Answer:

Step-by-step explanation:

We know that:

We can find one side by distance formula:

Then the perimeter is:

Answer:

Step-by-step explanation: