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:

251 = 130 + q

This is d equation

Answer:

251 = q + 130

Step-by-step explanation:

251 is equal to 130 added to q,

→ 251 = q + 130

Let's solve the equation,

→ 251 = q + 130

→ q = 251 - 130

→ [ q = 121 ]

So, the answer is 121.

Answer:

b/2-15

or

-15+1/2b

or

b:2-15

Step-by-step explanation:

which expression is equivalent to 1/2b-15

b/2-15

or

-15+1/2b

or

b:2-15

Answer:

Give me some hint please

The rate of change is 16, the equation is y = 16x, the (1,16) represents that the cost of 1 ticket is $16 and by y = 16x it is clear that it is a direct proportion.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

The table of tickets and their cost is given,

The graph of it has been plotted below,

The rate of change or slope = (48 - 32)/(3 - 2) = 16

The equation is y = mx + c where m is the slope and it is 16

So, y = 16x + c

Now substitute (2,32)

32 = 2(16) + c

c = 0

So the equation becomes y = 16x

Since y = kx is a direct proportional equation so it will be also direct proportionally.

In (1,6) , 1 = number of ticket , 16 = cost of ticket so it is $16.

Hence "The rate of change is 16, the equation is y = 16x, the (1,16) represents that the cost of 1 ticket is $16 and by y = 16x it is clear that it is a direct proportion".

For more about the equation,

https://brainly.com/question/10413253

#SPJ5

Step-by-step explanation:

formula: y=mx+b

First you gotta find M witch is Slope.

B is the y-intercept which is -2

then you have to do rise/run

so up 2

right 3

= 2/3

so your answer would be

y=2/3-2 because you can't simplify 2/3

Answer:

18/5 + −8/5√3 (as a decimal: 0.828719)

Answer:

y ≥ [tex]\frac{3}{2}[/tex]x + 6

Step-by-step explanation:

12 ≥ 3x + 2y

Money available ≥ cost of green grapes + cost of red grapes

To turn this into slope-intercept form,

12 ≥ 3x + 2y

2y ≥ -3x + 12

y ≥ [tex]\frac{3}{2}[/tex]x + 6

Graphed - see attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-3

Step-by-step explanation:

1. To find the slope of this line, we can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] since we're given the two points from the line.

2. (Solving)

Therefore, the slope is -3.

Answer: I got 60d+115f

Step-by-step explanation:

Hope this helps.

Answer:

60d+115f

Step-by-step explanation:

if you were basically asking to simplify then this is your answer

Your answer is A = 12.375 and B = 5.625.

Answer:

Step-by-step explanation:

I took pictures of what I found and I think is right

Answer: 8 for 1/2 gallon, 16 for a gallon

Step-by-step explanation:

Answer:

y_1=9(x_8)

y_1=9x_72

9x_y=71

9x_y_71=0

Answer:

x=24

Step-by-step explanation:

1. try to put x by itself

2. move the -6 but turn it into a positive

3. add 18 and 6 and that becomes your answer and equals to x

Hii!

______________________________________________________

Answer:

Step-by-step explanation:

Note that, -6x and 18 have something in common. This "something" is -6, so we factor it out by dividing both terms of the expression by it.

We obtain.

-x+3

Put parentheses around it.

(-x+3)

Put 6 outside the parentheses

6(-x+3)

--

Hope that this helped! Best wishes.

--

Answer:

4

Step-by-step explanation:

3/(3/4)=4

Answer:

-1.2y + -4.2y = -3.78

Answer:

Step-by-step explanation:

[tex]x^{n}-y^{n} =(x -y)(x^{n-1} + x^{n-2}*y^{1} +......+ xy^{n-2} + y^{n-1}\\\\\dfrac{x^{5}-y^{5}}{x-y}=\dfrac{(x -y)*(x^{4}+x^{3}*y^{1}+x^{2}*y^{2}+x*y^{3}+y^{4}}{(x-y)}\\\\[/tex]

            = x⁴  + x³y + x²y² + xy³ + y⁴

Answer:

x= -0.1818

y= 10.6363

Step-by-step explanation:

Answer:

3. 7

4. 22

Step-by-step explanation:

What divided by two equals 5? Ten! Then, what plus three equals 10? Seven!

17 + 5 (2 · 22 - 9) = (-6 · 22 + 10) +4 is true!

I hope that this helps!

Answer:

x = 7 and x = [tex]\frac{21}{8}[/tex]

Step-by-step explanation:

(3)

[tex]\frac{x+3}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )

x + 3 = 10 ( subtract 3 from both sides )

x = 7

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

(4)

17 + 5(2x - 9) = - 6x + 10 + 4 ← distribute parenthesis on left side and simplify

17 + 10x - 45 = - 6x + 14

10x - 28 = - 6x + 14 ( add 6x to both sides )

16x - 28 = 14 ( add 28 to both sides )

16x = 42 ( divide both sides by 16 )

x = [tex]\frac{42}{16}[/tex] = [tex]\frac{21}{8}[/tex]

Answer:

5 = k2

k = 2.5

happy learning

Answer:

B. 1/2

Step-by-step explanation:

In the picture attached, the Venn diagram is shown

amount of ASE certified brakes mechanics: 4+2+2+1 = 9

amount of mechanics: 4+2+2+1+3+3+3 = 18

The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2

Answer:

a shape has four sides,or it is a quadrilateral

20/2 × 7 = ?

= 10 × 7

= 70

[tex] \: [/tex]

6/2 + 6/1 = ?

= 3 + 6

= 9

[tex]\huge\mathfrak\blue{Answer}[/tex]

Answer:

13

Step-by-step explanation:

30 plus 9 is 39

6 minus 3 is 3

39 divided by 3 is 13

Answer:

the answer is D 33

Step-by-step explanation:

The answer is $11.25 Just divide $67.50 by 6

Given:

Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).

(a)If we translate  quadrilateral JKLM 3 units down and 3 units left:

(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)

Therefore, we match it with: A translation 3 units down and 3 units left

(b)If we translate  quadrilateral JKLM 2 units right and 3 units down:

(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)

Therefore, we match it with:A translation 2 units right and 3 units down

S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:

A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)

(d)If we translate  quadrilateral JKLM 3 units left and 2 units up:

(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)

Therefore, we match it with: A translation 3 units left and 2 units up

(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

No suitable transformation is found from JKLM to STUV.

Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).

(a)If we translate quadrilateral JKLM 3 units down and 3 units left:

(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)

Therefore, we match it with: A translation 3 units down and 3 units left

(b)If we translate quadrilateral JKLM 2 units right and 3 units down:

(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)

Therefore, we match it with:A translation 2 units right and 3 units down

S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:

A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)

(d)If we translate quadrilateral JKLM 3 units left and 2 units up:

(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)

Therefore, we match it with: A translation 3 units left and 2 units up

(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

No suitable transformation is found from JKLM to STUV.