A box is to be made out of a
rectangular piece of cardboard that is 12 inches wide and 16 inches long. Squares x inches on a side are cut out of the corners and the sides are bent upwards.

What is the length of the box?

Reflection across the y axis the y coordinate values remains the same but the x coordinates value changes sign. For example

Therefore,

Set D has an error.

The mixed fraction of the given improper fraction is [tex]1\frac{2}{5}[/tex].

According to the question,

We have the following improper fraction:

7/5

Now, to convert this into mixed fraction we will divide the numerator by the denominator and add the quotient before the fraction and the remainder will form the numerator and the denominator will remain same as that of this improper fraction.

(More to know: there are three kinds of fraction: proper fraction (in proper fraction, we have denominator larger than numerator), improper fraction and mixed fraction.

So, we will divide 7 by 5:

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

Hence, the mixed fraction of 7/5 is [tex]1\frac{2}{5}[/tex].

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Answer:

3x

Step-by-step explanation:

Answer:

I think the answer is x<2/7

Step-by-step explanation:

That's what i got.

Answer:

Step-by-step explanation:

x<2/7

The remainder when  2 to the 100th power is divided by 5 is 8.

The remainder when 2 to the 100th power is divided by 5 is 8. We can achieve the accurate result by using the exponential formula where:

a^mn = a^m(n)

So, applying this here, we will have

2^10 (10)/5

Recall that multiplying 10 by 10 will give us 100. What was done in this case is simply splitting the figures up to make the division simpler. The exponential law was applied here.

Now, 2^10/5

204.8

The remainder as we can see from this result is 8. Thus we arrive at the answer 8.

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Jacinda get 12% of commission

How to find percentage :

The cost of shoe that customer purchased is $259.50

The amount that Jacinda get commission is $31.14

To calculate the percentage of commission divide 31.14 by 259.50 and multiply by 100.

That is percentage of commission = 31.14/259.50 * 100

                                                         = 12%

Jacinda get 12% of commission.

What is percentage ?

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The value of the lesser integer is -2.

According to the question,

We have the following information:

The sum of an integer and 2 times the next consecutive even integer is -2.

Let's take the lesser integer to be x.

Now, the next consecutive integer will be (x+2).

So, we have the following expression:

x + 2(x+2) = -2

x+2x+4 = -2

3x+4 = -2

Moving 4 from the left hand side to the right hand side will result in the change of the sign from plus to minus:

3x = -2-4

3x = -6

x = -6/3

x = -2

Hence, the value of the lesser integer is -2.

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Answer:c

Step-by-step explanation:

Answer:

Its A.  Not C

Step-by-step explanation:

A is The sample space is 18. The probability of getting 2 and B is 1/18.

Answer: w<22

1. Group all constants on the right side of the inequality

2. Subtract  from both sides

3. Simplify the arithmetic

4. Simplify the arithmetic

Answer:

w < 22

Step-by-step explanation:

w + 2 < 24

Step 1 : Subtract 2 on both sides.

w + 2 - 2 < 24 - 2

           w < 22

Hence, simplified

Answer:

-4

Step-by-step explanation:

12/-3=-4

The most appropriate choices of origin and scale for the graph are given as follows:

The most appropriate scale one of a graph is one that permits the reader to visualize the data and noting the differences in the data.

In the context of this problem, the values of x from the table increase 1 by 1, hence a large scale would not give the reader a chance to visualize the data, hence a scale of 1 should be used.

The values of y, otherwise, range from 300 to 1200, meaning that a small scale would be bad for the readability of the graph, and thus a scale of 100 should be used for the values of y, giving the readers a chance to visualize the differences between 300 and 1200.

The origin of the graph should be the point (0,0), as both x and y assume only positive values, hence only the first quadrant is needed to plot the graph.

The table is missing and is given by the graph at the end of the answer.

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Assume grapes cost $2.35 per pound, oranges cost $0.99 per pound, and apples cost $1.65 per pound in exercise 13. Adrian paid a total of $5 for the fruits.

Therefore,

The cost of Grapes = $2.35 per pound

The cost of Oranges = $0.99 per pound

The cost of Apples = $1.65 per pound

If Adrian purchased one pound of each fruit,

He paid:

$2.35 + $0.99 + $1.65 = $4.99 = $5 (Approx.)

So, Adrian paid $5 in total for the fruits.

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Answer:

240 copies of the standard version.

Step-by-step explanation:

See attached worksheet.

Bonus:  Since 240 standard copies were downloaded, we know that 3 times that number is the number of high quality versions downloaded.

                    Copies      Size(MB)        Total MB

Standard       240              2.6                624

High               720              4.4               3168

Total (MB)                                               3792   {This matches the data]

I was in a rush so I couldn't write fown the steps. If you need the explanations for how they were gotten, please say.

Answer:

2y-4x=6

Step-by-step explanation:

it can be correct i dk

Answer:

x= −20

Step-by-step explanation:

The solution is x = 38

The equation to measure the value of x is ( 2x - 15 )° + ( 3x + 5 )° = 180° and the value of x = 38 from the two angles

What are angles in parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.

We can conclude three factors determining parallel lines ,

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

Same side exterior angles are supplementary

Given data ,

Let the first angle be represented as A

Now , the value of A is = ( 2x - 15 )°

Let the second angle be represented as B

Now , the value of B is = ( 3x + 5 )°

The angles A and B are on the same side of the exterior angles

And , lines a and b are parallel

So , When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary

Substituting the values in the equation , we get

( 2x - 15 )° + ( 3x + 5 )° = 180°

On simplifying the equation , we get

2x - 15 + 3x + 5 = 180

5x - 10 = 180

Adding 10 on both sides of the equation , we get

5x = 190

Divide by 5 on both sides of the equation , we get

x = 190/5

x = 38

Therefore , the value of x is 38

Hence , the value of x from the equation is 38

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A 30% percentage of the total price was taken off the TV.

So, the percentage is taken off from TV:

$1,420 - $994 = $426

Formula: (original price - decreased price)/original price × 100

Now, substitute values as follows:

Now, 100% - 70% = 30%

Therefore, a 30% percentage of the total price was taken off the TV.

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Answer:

x = 40

Step-by-step explanation:

x = 8 x 5

x = 40

that's it

The concentration of A 0.29M and Concentration B  0.755M  that the initial concentration of a is 1.0 moll−1 and that no b is present at the beginning of the reaction.

a A (g)⇔ b B (g)          k =2.4

when a= 1  and b= 1

                         A⇔B

initial                  1      0

concentration

change             -x       +x

equilibrium       1-x        x

concentration  

so, k = [tex]\frac{B}{A}[/tex] = [tex]\frac{x}{1-x}[/tex]= 2.4

x = 2.4 (1-x)

x = [tex]\frac{2.4}{3.4}[/tex] = =0.755

The equilibrium concentration are

concentration of A  = 1-x = 1- 0.755 = 0.29M

Concentration B =  x = 0.755M

The first measured the concentration of the compound in the substance.

The best way to determine the rate constant k for a first-order half-life  is to determine the half-life using experimental data. This is because the first-order half-life is independent of the initial concentration of its initial value. So based on the above relationship, the half-life of a first-order reaction does not depend on the initial  concentration.

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Answer:

45%

Step-by-step explanation:

In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?

P (no bro / yes sis) = P(no bro) - P(sis and bro)

       = 12/20 - 3/20

       = 9/20

       or 45%

Substitute 80 for C in the formula F = 9/5C +32 to obtain the temperature in fahrenheit.

Thus temperature in

Using a piecewise function, it is found that:

a. The rule is:

b. C(75) = 36.25.

c. C(100) = 27.

d. A practical domain for the function is integer values of w ≥ 0

e. A practical range the function is C(w) ≥ 0.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

For 0 to 50 wristbands, which is the first definition of the function, the cost is of $0.75 per each wristband, hence the definition is:

C(w) = 0.75w, 0 ≤ w ≤ 50.

From 51 to 75 wristbands, which is the second defition of the function, the cost is of $0.35 per each wristband plus the $10 shipping fee, hence:

C(w) = 0.35w + 10, 51 ≤ w ≤ 75.

For more than 75 wristbands, which is the third definition of the function, the cost is of $0.2 per wristband plus the $7 shipping fee, hence:

C(w) = 0.2w + 7, w > 75.

The numeric values are as follows:

The domain and the range of the function are as follows:

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The system of equations to represent this scenario is x + y = 20  and 2x + 4y = 70  .

In the question ,

it is given that

the total number of tables in the restaurant = 20 tables

let the number of round tables be "x"

let the number of rectangular tables be "y" .

number of person that can seat on a round table = 2

So , the number of person that can seat on "x" round tables = 2x person

number of person that can can seat on rectangular table = 4

So , the number of person that can seat on "y" rectangular tables = 4y person

since total number of table is 20

So , the equation is x + y = 20

and total number of person that can seat are 70 seats .

So , the equation is 2x + 4y = 70

Therefore , The system of equations to represent this scenario is x + y = 20  and 2x + 4y = 70  .

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Notice that in the given sequence the difference between the first two terms is 7 so the solution must be in terms of multiples of 7 plus a constant. The only two options that have this characteristic are first and last ones, for the sum to consider the first term the sum must start for r=0.

Answer: last option.

Answer:

Explanation:

Here, we want to deduce the median change

The median is a measure of central tendency that represents the middle number is a set of numerical observations

Firstly, let us get the previous median

We start by sorting the numbers from bottom to top

We have that as:

121,129,132,145,160,175

Since the count of observations is even, we have the median as the average of the two mid-values

We have that as:

Adding the last value, the set becomes

121,129,132,145,160,173,175

In this case, the median value would be 145 which shows an increase in the value of the median

Answer:

A. Increase

Step-by-step explanation:

I took the

Answer: B

Step-by-step explanation:

The preimage is "flipped" over the x axis to form the image.

Option A is a reflection over the line y=x.

Option C is a rotation of 180 degrees about the origin followed by a dilation.

Option D is a reflection over the x-axis.

Option E is also a reflection over the x-axis.

Hello! We can prove this with some statements, look:

• Notice that CD is parallel to AB;

• angle 1 ≅ angle 2

• M is the midpoint of AB;

Statement 1:

Reasoning 1:

As M is the midpoint of AB and we have two similar lines starting in M, we can divide the angle M into two equal angles m1 and m2.

definition of midpoint

Statement 2:

Reasoning 2:

As we already know that angle 1 ≅ angle 2, let's calculate the sum of the angles C and D, look:

angle C:

90º + angle 1

angle D:

90º + angle 2

so, 90º + angle 1 ≅ 90º + angle 2, it means that angle C ≅ angle D.

Statement 3:

Reasoning 3:

The sum of the internal angles of a triangle must be equal to 180º, right? So, knowing it we can say that angles A and B are equal, look:

m1 + A + C = m2 + B + D = 180º

remember, m1 ≅ m2 and C ≅ D, so A ≅ B too.

According to the explanation and image, we can prove that triangle CAM ≅ triangle DBM.

Table:

Answer:

with?

Step-by-step explanation: