The post office will only accept packages for which the length plus the "girth" (distance around) is no more than 108 inches. Thus, we must have L+2(x+y)<=108.
What is the greatest acceptable length for a package that has a square base measuring 9 inches by 9 inches?

600 ft²

Solution:

Area of triangular prism - -

Formula's:

Here the volume:

50 * 12

600 ft²

Answer:

last option

Step-by-step explanation:

(x-h)²+(y-k)²=r²

(x--7)²+(y-4)²=5²

(x+7)²+(y-4)²=25

The equation of the circle is (x + 7)² + (y - 4)² = 25.

Option D is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The equation of a circle with center (h,k) and radius r.

(x - h)² + (y - k)² = r²

Substituting the given values, we get:

(x - (-7))² + (y - 4)² = 5²

Simplifying the equation:

(x + 7)² + (y - 4)² = 25

Therefore,

The equation of the circle is (x + 7)² + (y - 4)² = 25

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The vertices of the quadrilateral after dilation of 2 are

(-4, 10), (-4, 4), (4, 10), (4, 4).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A quadrilateral with vertices  (-2,5), (-2,2), (2,5), (2,2).

Now, Dialating this quadrilateral with a scale factor of 2 centered at the origin would multiply every vertices points by 2.

Therefore, The dilated quadrilateral has vertices,

2[ (-2,5), (-2,2), (2,5), (2,2)].

(-4, 10), (-4, 4), (4, 10), (4, 4).

The figure of this dilated quadrilateral is attached.

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Answer:

(4, 4)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 graphs intersect would be the solution set to the systems of equations.

Answer:

x=4

and

y=4

Step-by-step explanation:

let -2x+y=-4 ...1

y=1/2x+2 ...2

putting equation 2 in equation 1 we get,

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

opening the brackets we get,

-2x+1/2x+2=-4

(-4x+x)/2=-4-2

-3x/2=-6

-3x=-6×2

-3x=-12

x=-12/-3

x=4

putting value of x in equation 2

y=1/2(4)+2

y=2+2

y=4

hence, x=4 and y=4

The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

(-8,5) (-12,-11)  (1-1) (-2,-4)

The domian is the set of the input values

Using the ordered pairs as a guide, we have

Domain = {-8, -12, 1, -2}

For the range, we have

The range is the set of the output values

So, we have

Range = {5, -11, -1, -4}

Hence, the range is  {5, -11, -1, -4}

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Answer:

4

Step-by-step explanation:

7 - (3 + 5) + (- 3 + 6) / 3 x 5

7 - 8 + (-3 + 6) / 3 x 5

7 - 8 + 3 / 3 x 5

7 - 8 + 1 x 5

7 - 8 + 5

-1 + 5

4

Answer:

Box A: 6 feet

Box B: 16 feet

Box C: 12 feet

Step-by-step explanation:

Answer:

\(3(3 - 4x + 2y)\)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

\(gcf = 3\)

Factor out the GCF.

\(3( \frac{9}{3} + \frac{ - 12x}{3} + \frac{6y}{3} )\)

Simplify each term in parentheses.

\(3(3 - 4x + 2y)\)

Answer:

201 miles

Step-by-step explanation:

Base fee =  $15.95

Mileage fee = $ 0.95  per/mile

Paid = $206.90

Distance= ?

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

Equation to calculate miles:

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

nickels- 5, quarters- 11

Step-by-step explanation:

nickel= 5 p,  quarter= 25 p

5x+25(x+6)= 300

30x+150=300

30x=150

x=150/30

x=5 nickels

x+6= 11 quarters

Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm

perimeter of a rectangle is the sum of the dimensions. This is the sum of the 2 lengths and the 2 widths

Given data

width of a rectangular stamp ( W ) = 1.40cm + L

L = length

perimeter of stamp after increment = 20.8cm

Perimeter p = 2 ( L + W )

20.8 =  2 ( L + 1 + W + 1 )

20.8 =  2 ( L + 1 + 1.4+ L + 1 )

20.8 =  2 ( 2L + 3.4 )

10.4 = ( 2L + 3.4 )

2L = 10.4 - 3.4

L = 7 / 2

L = 3.5cm

Therefore length of the stamp is 3.5 cm

Width of the stamp = 1.4 + L

W = 1.4 + 3.5

W = 4.9 cm

Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm

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The number line that shows the solution to the inequality is given as follows:

First number line.

The inequality in the context of this problem is defined as follows:

-6x + 5 >= 17

-6x >= 12.

Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:

6x <= -12.

Then the solution is given as follows:

x <= -2.

Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.

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The number line that shows the solution to the inequality is: C. graph C.

In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided above, we have the following equation (inequality);

-6x + 5 ≥ 17

By subtracting 5 from both sides of the equation (inequality), we have;

-6x + 5 - 5 ≥ 17 - 5

-6x ≥ 12

x ≤ 12/6

x ≤ 2 (it would be shaded to the left with a closed circle at 2).

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Answer:

A. 2 pounds of carrots per $1

Step-by-step explanation:

\(\frac{5 pounds }{2.5 dollars}=\frac{2pounds }{1 dollars}\)

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

The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B =  0.5 hours.

The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:

2A + 12B = 9 hours

On Thursday, we would have

5A + 3B = 9 hours

2A + 12B = 9  Eqn 1

5A + 3B = 9   Eqn 2

Multiply equation 2 by -4

2A + 12B = 9

-20A - 12B = -36

2A - 20A = 9 -36

-18A = -27

Divide both sides by -18

A = 1.5 hours

For B, substitute A in the first equation

2(1.5) + 12B = 9

3 + 12B = 9

12B = 9 - 3

12B = 6

Divide both sides by 12

B = 0.5

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Complete Question:

Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?

number one take the second

Answer:

80

Step-by-step explanation:

10+4+2+4=20 and 20×4 numbers=80

Answer:

k = -9

Step-by-step explanation:

Answer: \(A) \ 3\vec{x} -2\vec{y}\)  

Step-by-step explanation:

The resultant can be calculated using triangular law of vector addition as :

\(\rm \vec{r}=\vec{AB} +\vec{AC}=2x+y+x-3y=\boxed{3x-2y }\)

Answer:  336 is the sum of the non-median scores

Step-by-step explanation:  if the sum of 5 scores is 420, the average is 420/5 = 84  

That is also the median to be subtracted:  420-84= 336

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

do B as it goes up 2 then 3 then it repeated the

(b) the sequence is not arithmatic

Answer

138

Step-by-step explanation:

The answer is 138 because, when you take 258 and subtract it by 120, you will end up with 138!  

Answer:

It was most likely raised by 46%

Step-by-step explanation:

120/258

Comparison analysis is defined as describing the data in the sample with the use of percentages or averages. Hence, option A is the most suitable answer to this question.

Comparative analysis talks about the comparison of two or more data sets, or other objects. Comparing data becomes very easy when the data is consolidated with the help of average or mean, percentages, and rounding up of the decimals.

Comparison is a very important method to check the difference in the parameters of the two data sets. Not just comparing, summarization of this data is vital for understanding what that data actually means. Hence, we can say that comparison analysis is defined as describing the data in the sample with the use of percentages or averages.

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The complete question is -

Fill in the blanks -

________ analysis is defined as describing the data in the sample with the use of percentages or averages.

A) Comparison

B) Generalization

C) Relationship

D) Summarization

E) Confidence

Answer:

x = √6/2

Step-by-step explanation:

Side a = 1.73205 --> √3

Side b = 1.22474 --> √6/2

Side c = 1.22474 --> √6/2

I believe the lines intersect at point (0,5)

When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.

A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.

Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.

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