A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish. I need three ways

Answer: [tex]t=-\frac{1}{2}r- 1[/tex]

Step-by-step explanation:

For a lineal equation [tex]t=mr+n[/tex]

For r=0 and t=-1

[tex]-1=m(0)+n\\n=-1[/tex]

For r=-2 and t=0

[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]

Them [tex]t=-\frac{1}{2}r- 1[/tex]

???? The output for 6 is 1????

The answer is r=2/5b

Answer:

D) ΔPNK ≅ ΔIKN by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.

Answer:

answer is C PNK=IKN by SAS

Answer:

69.82in^2

Step-by-step explanation:

Rectangle

[tex]A=lw\\=5*12\\=60in^2[/tex]

Semicircle

[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 2.5^2\\=9.82in^2[/tex]

Add altogether

60+9.82

=[tex]69.82in^2[/tex]

Answer:

-5

Step-by-step explanation:

Score in first round = +15

Scores lost in second round = -30

Score in third round = 10

Total points = 15+-30+10= -5

Answer:

C

Step-by-step explanation:

[tex]\frac{y^{3/4} }{y^{1/2} }[/tex]   Original expression

[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex]   Division Property of Exponents

[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex]   Find a common denominator (4)

[tex]y^{\frac{1}{4} }[/tex]   Simplify

[tex]\sqrt[4]{y}[/tex]   Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)

Answer:

true

Step-by-step explanation:

hard to explain,

hope it helps

It is true that when f(x) = g(x), the system of the equation is solved.

A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).

The equation is the relationship between variables as is an example of a polynomial equation.

Let, f(x) = ax+ by  - - - - ( 1 )
     g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.

When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and  ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).

Thus, It is true that when f(x) = g(x), the system of the equation is solved.

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Answer:

Volume = length × width × height

length = 16

height = 5

V= 16 × w × 5

V = 80w

Hope this helps.

Answer:

They are 30.93 in³ altogether.

Step-by-step explanation: V = 4/3 π r³

r = 2.7/2 = 1.35

π x 1.35 x 1.35 x 4/3 = 10.31 in³

10.31 x 3 = 30.93

Answer:

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex].

Step-by-step explanation:

The given expression is

[tex]\sum\limits_{i=1}^{10}(1-2i)[/tex]

We need to find first 3 terms, then we have evaluate the value.

Here,  

[tex]a_i=1-2i[/tex]

For i=1,

[tex]a_1=1-2(1)=1-2=-1[/tex]

For i=2,

[tex]a_2=1-2(2)=1-4=-3[/tex]

For i=3,

[tex]a_3=1-2(3)=1-6=-5[/tex]

So first three terms are -1,-3,-5. It is an AP with first term -1 and common difference -2. So, next 7 terms are -7,-9,-11,-13,-15,-17,-19.

Now,  

[tex]\sum\limits_{i=1}^{10}(1-2i)=(-1)+(-3)+(-5)+(-7)+(-9)+(-11)+(-13)+(-15)+(-17)+(-19)[/tex]

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex]

Therefore, the value of [tex]\sum\limits_{i=1}^{10}(1-2i)[/tex] is -100.

Answer:

(3)

Step-by-step explanation:

(1), (2) and (4)

can be written as Fr= p1-p2, F and r are inversely proportional

(3) r is directly proportional with F which is opposite to the given formula

hence this is incorrect

Answer: C. 42

Step-by-step explanation:

(3x + 3) is the same angle as 129.

So, you have to equal them to each other.

3x + 3 = 129

Now you solve.

Subtract 3 from each sides.

3x = 126

Divide 3 from each side.

x=42

Answer:

x = 42°

Step-by-step explanation:

J//k if the the two corresponding angles are equal

which means 3x + 3 = 129

solving 3x + 3 = 129

3x = 129 - 3

3x = 126

then

x = 126/3

 = 42°

Answer:

They are similar

Step-by-step explanation:

Answer:

oof i have no clue

Step-by-step explanation:

sorry never learned this type of graphs good luck tho

Answer:

D. The data point is 2.5 standard deviations away from 0.5.

Step-by-step explanation:

Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.

Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.

i.e the data point is 2.5 standard deviations away from the mean 0.5.

Hope this helped!

Answer:

6m squared

Step-by-step explanation:

cause one of the faces is 2 times 3 and that is 6m squared

Answer:

8 m^2, 12 m^2, or 6 m^2

Step-by-step explanation:

4x2=8 m^2

4x3=12 m^2

2x3=6 m^2

It depends which face you want the area of

Answer:

depende de del grueso de la cometa

Step-by-step explanation:

Answer:

x= 8in

Step-by-step explanation:

area of kite = diagonal1*diagonal2/2

60. = 15 *x. /2

->x = 60*2/15=8in

Answer: [tex]x=\frac{3}{5}[/tex]

Step-by-step explanation:

Move all terms to one side.

[tex]25x^2+9-30x=0[/tex]

Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]

[tex](5x)^2-2(5x)(3)+3^2=0[/tex]

Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](5x-3)^2=0[/tex]

Take the square root of both sides.

5x-3=0

Add 3 to both sides.

5x=3

Divide both sides by 5.

x= 3/5

Answer:

4

Step-by-step explanation:

the correct answer is number 4

if X = 2 ==> 2x -5 = 2(2) -5 = 4 - 5 = -1

Answer:

78-56=22 degrees

Step-by-step explanation:

You wanna take away 56 degrees from 78 degrees and you will get ....

Answer:

10 + 10 + 10 = 30

5 + 5 + 10 = 20

4 + 4 + 5 = 13

5 + 19 x 2 = 43

Step-by-step explanation:

Pair of shoes = 10

Boy = 5

2 snow cones = 4

One shoe = 5

boy + 2 snow cones + a pair of shoes (his feet) x one snow cone = 43

I really hope this helps!

Answer:

30/3=10

two shoes is 10

20-10=10

10/2=5

each person is 5

13-5=8

8/2=4

Two cones is 4

2 (only 1 cone) x 19(two cones is 4 + each person 5 =9. 9 + 10 because of the two shoes = 19) =  38

38+5(only 1 shoe) = 43

Hope this helps

Step-by-step explanation:

Answer:

The scale factor is 1.5

Step-by-step explanation:

In the picture attached, the line AB is shown.

The first 3 steps are to measure some lengths

The last 3 steps are to compute these ratios

Answer:

see explanation

Step-by-step explanation:

1. Measure these lengths:

OA - 2.0 units

OA' - 3.0 units

2. Measure these lengths:

OB - 3.0

OB' - 4.5

3. Measure these length's:

AB - 2.2

AB' - 3.3

4. Calculate the ration: OA' / OA = 1.5

5. Calculate this ratio: OB' / OB = 1.5

6. Calculate this ratio: A'B' / AB = 1.5

Answer:

First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Let's take two triangles that are similar:

Taking two triangles:

[tex]{\triangle ABC \text{ and } \triangle PQR[/tex]

If

[tex]\angle A \displaystyle \cong \angle P[/tex]

and

[tex]\angle C \displaystyle \cong \angle R[/tex]

Then,

[tex]{\triangle ABC \sim \triangle PQR[/tex]

It is Angle-Angle (or AA) Theorem.

It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.

Answer:

the answer is20 inches

Step-by-step explanation:

a square has 4 sides so you divide the total of 80 by 4.

80÷4=20

Answer:

Commutative property

Step-by-step explanation:

#4

Answer: The correct answer is A

Step-by-step explanation:

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

Given that,

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex]

We have to determine,

What's  h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?

According to the question,

Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]

To find the translation in h(x) following all the steps given below.

                   [tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]

                    [tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]

                    [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]

Hence, The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

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Answer: (going down the table)

1) 5, 8, 6, 1

2) 2, 6, 10, 2

Step-by-step explanation:

count how many are in that bracket.

EG:

1) the amount of numbers between 5 and 10, including 5

etc

Answer:

The answer in letter form is C.

Step-by-step explanation:

he explains it in the other

The statement that best describes the relationship between x and y is:

"As x increases, y increases and then decreases".

The description of the data line forming a "vee" shape indicates that there is a turning point where the line changes direction. This means that the relationship between x and y is not a simple one where y always increases or always decreases as x increases. Instead, the relationship is more complex and involves both increasing and decreasing values of y as x increases.

At the start of the data line, where it begins above the x-axis and to the left of the y-axis, x is small and y is relatively large. As x increases, the data line descends below the x-axis to a point on the y-axis. This means that there is a point where y is at its minimum value, and this occurs when x is larger than the starting point. After this point, the data line ascends above the x-axis to the right of the y-axis, which means that y increases again as x increases.

Therefore, the statement that best describes the relationship between x and y is:

C. As x increases, y increases and then decreases.

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Answer:

D. -3

Step-by-step explanation:

The table is:

x  |  y

-5 | 23

-2 | 14

 1 | 5

To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:

slope = (y2 - y1)/(x2 - x1)

Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:

slope = (5 - 14)/(1 - (-2)) = -3