3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of
cardboard that is 10 inches by 18 inches. The box will be formed by making cuts as shown in
the diagram and folding up the sides.
a) Write a function that models the volume of the box.
b) What are the dimensions of the box with the maximum volume? Round to the nearest tenth.
el
at
c) What is the maximum volume of the box?

Answer:

x = -5

Step-by-step explanation:

f(x) = [tex]\frac{x+5}{4}[/tex]

Okay, so in order to find the zeroes of the equation, we need to find the values of x for which f(x) = 0.

[tex]\frac{x+5}{4}[/tex] = 0

We can start by multiplying both sides by 4.  Anything multiplied by 0 equals 0, so we have the following:

x + 5 = 0

Now, subtracting 5 from both sides in order to isolate x, we have:

x = -5

To check our work, let's substitute -5 into our equation:

f(-5) = [tex]\frac{-5+5}{4}[/tex] = [tex]\frac{0}{4}[/tex]

0 divided by anything equals 0, so f(-5) = 0.

Answer: T=16 ± 0.12 ° CA Aw

Step-by-step explanation:

Answer:

38 - 32 = 6

Step-by-step explanation:

subtract the question

Step-by-step explanation:

1. quantity, amount, or degree of something measured per unit of something else her typing rate was 80 words per minute. b : an amount of payment or charge based on another amount specifically : the amount of premium per unit of insurance.

2.A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate

Answer:

2x-6 I think

Step-by-step explanation:

Step-by-step explanation:

according to angle sum property of triangle

sum of all 3 angles of triangle is 180°

and here it is given that the Pentagon is divided in 3 triangles,

now,

3×180 = 540°

therefore, option C 540° is correct

hope this answer helps you dear! take care

Answer:

540

Step-by-step explanation:

Each triangle only has 180 degrees

We have 3 triangle, 180 + 180 + 180 = 540 degrees

John's membership in the gym and Madison's party are illustrations of linear equations.

1. John's equation

The given parameters are:

[tex]\mathbf{Base = 75}[/tex]

[tex]\mathbf{Monthly = 30}[/tex]

The monthly expression is:

[tex]\mathbf{f(m) = Base + Monthly \times m}[/tex]

So, we have:

[tex]\mathbf{f(m) = 75+ 30 \times m}[/tex]

[tex]\mathbf{f(m) = 75+ 30m}[/tex]

For 6 months, we have:

[tex]\mathbf{f(6) = 75+ 30 \times 6}[/tex]

[tex]\mathbf{f(6) = 255}[/tex]

Hence, the expression that represents the situation is [tex]\mathbf{f(m) = 75+ 30m}[/tex], and the amount for 6 months of membership is $255

2. Madison's party

The given parameters are:

[tex]\mathbf{Cake = 18.50}[/tex]

[tex]\mathbf{Balloon = 20}[/tex]

[tex]\mathbf{Total = 63.50}[/tex]

Let n represent the cost of each balloon.

So, the equation is:

[tex]\mathbf{Cake + Balloon \times n = Total}[/tex]

This gives:

[tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex]

Subtract 18.50 from both sides

[tex]\mathbf{ 20 \times n = 45}[/tex]

Divide both sides by 20

[tex]\mathbf{ n = 2.25}[/tex]

Hence, the expression that represents the situation is [tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex], and the cost of each balloon is $2.25

Read more about linear equations at:

https://brainly.com/question/11897796

Answer:

first 3 terms: 6, 9, 14

16^2+5=261

Step-by-step explanation:

1^2+5= 6

2^2+5= 9

3^2+5= 14

Answer:

your answer would be 31.4 :)

Step-by-step explanation:

Answers:

x = 40 and y = 40

========================================================

Explanation:

The three angles involving x add up to 180 since they form a straight line or straight angle.

3x+0.5x+x = 180

4.5x = 180

x = 180/(4.5)

x = 40

Then note how the 0.5x and 0.5y angles are vertical angle pairs. Vertical angles form when we have two lines cross to form an X shape, and vertical angles are always opposite one another. Also, vertical angles are always the same measure.

0.5x = 0.5y

x = y

40 = y

y = 40

In the second step, I multiplied both sides by 2. Then I plugged in x = 40 we found earlier.

Answer:

16.95

Step-by-step explanation:

because when you add 14.95 and 2 together you get 16.95

Answer:

Step-by-step explanation:

Area of  Big circle = πr² = 3.14 * 6.5*6.5  = 132.67 cm²

Area of small circle = 3.14 * 2.3*2.3 = 16.61 cm²

Area of shaded region = area of big circle - area of small circle

         = 132.67 - 16.61  = 116.06 cm²

Answer:

19, I'm pretty sure?

Answer:

Only Wednesday and Thursday

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

whats the question

Step-by-step explanation:

Answer:

15:27:63

Step-by-step explanation:

solve by multiplying the ratio by the opposing number.

a b b c

5 9 3 7

multiply 5 x 3 = 15

multiply 9 x 3 = 27

mutliply 9 x 7 = 63

Answer:

Uh not me but I don't think you should leak your schools name...

Answer:

140

Step-by-step explanation:

Here you go. Hope it helps you

The volume of a cone is (1/3)πr2h.

In this problem r=2h or h=(1/2)r

Hence V = (1/6)πr3

dV/dt = (1/2)πr2 dr/dt

With this information you should now be able to answer the question. Remember the relation between r and h!

never mind i was right

im also so sorry if you dont understand or its not one of the answers

Answer:

t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?

Step-by-step explanation:

Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:

c. 0.51

If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, these following two events result in the rights of exactly one of the two mountains being bought:

Hence:

[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]

Thus, option c is correct.

A similar problem is given at https://brainly.com/question/24174994

Answer:

31.75

Step-by-step explanation:

if there are 3.5 (or 3 and a half) cans in the lasagna and each holds 10.5 oz, you can use 3.5x10.5 to solve it.

Answer:

You can use the model to show the fractions alongside each other.

Step-by-step explanation:

Answer: 0.019

Step-by-step explanation: 0.019 is the only closest number to 0.020, others are much less than 0.020.

mhorn seems to be correct

Step-by-step explanation:

yshahaa

[tex]\sqrt 5 + \sqrt 5 \\\\=\sqrt 5(1+1) \\\\= 2 \sqrt 5[/tex]