Santosh spent $200, before tax, on a DVD player and DVDs. The player cost $120, new DVDs cost $15 and used DVDs cost $5. Santosh purchased the same number of new and uses DVDs. Write and solve an equation to find the number of each type of DVD Santosh purchased.

Answer:

Step-by-step explanation:

48618/9=5402

48618/3=16206

Answer:

C

Step-by-step explanation:

I used a calculator

When A and B are divided by 3, there's a decimal. I didn't try D because C worked for both.

48618 ÷ 3 = 16206

48618 ÷ 9 = 5402

Answer:

110 cards were sold on Mother's Day

Step-by-step explanation:

Bob's gift shop sold 20% of all the cards sold on Mother's Day.

Let the number of cards sold on Mother's day be m

Bob sold 20% of m or 0.2m

We know that 0.2m is 22, so now we can solve for m

110 cards were sold on mothers day

Note

We know that 0.2 is 1/5, so instead of dividing each side by 0.2, we could have multiplied both sides by 5

-Chetan K

Answer:

120

Step-by-step explanation:

The prism shown is a triangular prism

The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )

First let's find the area of the base.

To find the area of a triangle we use this formula \(A=\frac{bh}{2}\)

where b = base length and h = height

The base length is 6ft and the height is 4ft.

Using these dimensions we plug in the values into the formula

\(\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12\)

So the area of the base is 12ft²

Finally to find the volume we multiply the area of the base by the length of the prism

12 * 10 = 120

Hence, the volume of the prism is 120ft³

Answer:

find the midpoint of the line AB...

and plot it on the graph

Answer:

the first is sufficient

second is sufficient

third is not sufficient

fourth is sufficient

and I believe fifth us sufficient

Step-by-step explanation:

my explanation is the SS

We can conclude that the special tutoring session seems to have had a positive impact on the students' performance, as their mean score increased from below 60% to 70%.

We can conclude that the special tutoring session has been effective since the students' mean score increased from 60 percent to 70 percent on the second test.

The students who scored less than 60 percent on the first test were given a special tutoring session, which resulted in their mean score increasing to 70 percent on the second test.

Therefore, we can conclude that the special tutoring session has been effective in improving the students' performance on the second test.

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She needs to decide how big is the hen house going to be.

Answer:

Lucas monthly net pay is $1758

Step-by-step explanation:

Lucas works for a salary of $2,396 per month.

His deductions include $360 of federal income tax,

$148 for Social Security,

$35 for Medicare, and

a $95 insurance premium.

Now,

2396 - 360 - 148 - 35 - 95 = 1758

Thus, Lucas monthly net pay is $1758

-TheUnknownScientist

the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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The  probability that the next spin will land on red or green or purple is approximately 67% to the nearest whole nu

Total number of spins = Sum of the frequencies = 11 + 11 + 17 + 7 + 10 = 56

Number of spins landing on red, green, or purple = Frequency of red + Frequency of green + Frequency of purple = 11 + 17 + 10 = 38

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Probability = (38) / (56)

Now, to express the probability as a percentage, we can multiply the probability by 100 and round it to the nearest whole number:

Probability (as a percent) = (38 / 56) * 100 ≈ 67%

Therefore, the probability that the next spin will land on red or green or purple is approximately 67% to the nearest whole number.

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Answer:

Hello it is a reduction because it is smaller then the original shape and the green shape is the dilation!

Its a scale factor of 1/2 Hope this helps!

Answer:

Step-by-step explanation:

It's a reduction (smaller) so the scale factor is  less than 1.

In fact it is 1/2 as for example B (4, 4) maps to B' (2, 2).

Answer:

an increase of 12%

Step-by-step explanation:

68 divided by 77 is 0.88 approximately

100-88 is 12

Tip:

do this for increase and decrease in percentage question

divide small number by big number, and subtract the quotient from 100

Answer:

13%

Step-by-step explanation:

Percent increase is solved as such:

Percent Increase =  %∧ = \((\frac{New~Amount~-~Original~Amount}{Original~Amount}) ~*~10\)

%∧ = \((\frac{77~-~68}{68}) ~*~100 = (\frac{9}{68}) ~*~100 = 0.13 * 100 = 13\%\)

Remember you want to know what percentage the difference is compared to how much your original amount is.

Hope this helps :)

Answer:

I'm assuming the chessboard is square so 49cm square.

Step-by-step explanation:

Area of a square= side × side

7×7=49

Have a nice day.

The area of the chessboard is 49 square inches, and which side length is 7 inches.

To find the area of the chessboard, we need to calculate the product of its length and width.

In this case, since the chessboard is a square, the length, and width are equal.

Given that the side length of the chessboard is 7 inches, we can calculate the area as follows:

Area of the chessboard = side length x side length

Area of the chessboard = 7 inches x 7 inches

Area of the chessboard = 49 square inches

Therefore, the area of the chessboard is 49 square inches.

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Notations are used to specify the range of a function. The range of fish A is [28,32] while the range of fish B is [11,infinity).

Also, the range of fish B is not reasonable.

For fish A, we have:

\(Minimum = 28\)

\(Maximum = 32\)

For Fish B, we have:

\(Minimum = 11\)

For fish A, the minimum and the maximum are inclusive. So, the range is:

\(Range= [Minimum, Maximum]\)

This gives:

\(A = [28,32]\)

For fish B, the minimum is known (and inclusive). The maximum is not known, so we represent the maximum with infinity.

So, the range is:

\(Range= [Minimum, Maximum)\)

\(B = [11,\infty)\)

The range of fish B is not reasonable because there is a limit to the size of fish a slot can take.

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The linear equation that represents the number of gift sets needed to hold 124 ounces is x + 16y = 124. Then the correct option is 2.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A manufacturing plant produces two different-sized containers of peanuts.

One container weighs x ounces and the other weighs y pounds.

If a gift set can hold one of each size container.

Then the equation represents the number of gift sets needed to hold 124 ounces

We know that the conversion of the pound to the ounce will be

1 pound = 16 ounces

y pound = 16y ounces

Then we have

x + 16y = 124

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(a) correctly describes the relationship between a parameter and a statistic.

The correct description is:

a) A statistic is calculated from sample data and is generally used to estimate a parameter.

In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.

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Answer:

-7/3, -3/4, .5, 2/3, 1.2

Step-by-step explanation:

negatives are always the least number

Answer:

-7/3, -3/4, 0.5, 2/3, 1.2

Hope this helps! Sorry if it's wrong!

154.5

Step-by-step explanation:

left triangle and right triangle has the same degree.

M to Q 107/2 = P to R 53.5

O to N 110/2 = R to Q 55

Find X

M to N 92/2 = P to Q 46

Perimeter- 53.5+ 55+ 46= 154.5

Answer:

\(Volume = 24\ ft^3\)

Step-by-step explanation:

Given [Missing from the question]

\(Length = 170cm\\ Width = 100cm\\ Height = 40cm\)

Required

Determine the volume

This is calculated as:

\(Volume = Length * Width * Height\)

\(Volume = 170cm * 100cm * 40cm\)

\(Volume = 680000cm^3\)

Convert to cubic foot [Divide by 28317 ]

\(Volume = \frac{680000\ ft/^3}{28317}\)

\(Volume = 24.0138432744\ ft^3\)

\(Volume = 24\ ft^3\) --- approximated

Answer:

Step-by-step explanation:

for the function i get f(x)=1.99x+3

f(x) = 1.99x + 3 for x>0

x≥1

X cannot get to zero it is no allowed by the function I defined

i tried my best

Answer:

Lidal's price is better

Step-by-step explanation:

Lidal

4 for £2.04

1 for £2.04/4= £0.51= 51 p

Oldi

9 for £4.68

1 for £4.68/9= £0.52= 51 p

Lidal offers better price per roll

Answer:

2/3

Step-by-step explanation:

4/3 or 1 1/2 divided by 2 is equal to 2/3

(i) The dual of the given LP problem can be found by following these steps:

1. For each constraint in the primal problem, create a dual variable. In this case, we have three constraints, so we'll have three dual variables: y1, y2, and y3.
2. The objective function of the dual problem will be the sum of the products of the primal variables and their corresponding dual variables. So, the dual objective function is:
  Maximize w = 3y1 + 2y2 + y3.
3. For each primal variable x, create a constraint in the dual problem with the coefficient of the corresponding dual variable equal to the coefficient of x in the primal objective function. So, the dual constraints are:
  y1 + 2y2 - y3 ≤ -2
  y1 + y2 + y3 ≤ -1
  y1, y2, y3 ≥ 0.

(ii) To find the optimal solution to the dual problem, we need to solve the optimal tableau of the dual problem. From the given information, we know that Row 0 of the optimal tableau is:
  w = 4x1 + e2 + (M-1)a2 + (M+2)a3 = 0.
 
  However, the given information does not provide any details about the values of x1, e2, a2, or a3. Therefore, without this information, we cannot determine the specific optimal solution to the dual problem.

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Answer:

Step-by-step explanation:

Let L and W be the length and width of a triangle.

Rectangle perimeter (Px) = 2L + 2W, where x is triangle a or b.

Rectangle A: La = 5Wa  [The length of Rectangle A is 5 inches more than its width.]

Perimeter Rectangle A:  Pa = 2La + 2Wa

Substitute L = 5Wa:  

Pa = 2La + 2Wa

Pa = 5Wa + 2Wa

Pa = 7Wa

Perimeter Rectangle B:  Pb = 17   [The perimeter of Rectangle B is 17]

Pb = 17

Difference between Pa and Pb:  Is it  < 9?

See the attached table.  The perimeters of rectangle A are computed for each of the answer options that define the width.  Length (rectangle A) is 5 inches more than the width.  The perimeter is 2*Length + 2*Width, and shown as Pa.

The perimeter of rectangle b is 17, shown as Pb on the table.  The last column of the table is the absolute value of the difference of Pa and Pb.  If it is less than 9, the cell is green (it is a possible integer value for the width of rectangle A),  Red mean it does not meet the "less than 9" requirement,  One cell has the difference as 9.  The problem states "less than 9," so it does not meet the requirement.

Answer:

Jacob and Bailey went to the playground and collected a total of 351 aluminum cans. Bailey, being a more enthusiastic collector, managed to gather twice as many cans as Jacob. This means that Bailey collected 2/3 of the total cans, while Jacob gathered only 1/3.

The fact that they found so many aluminum cans in the playground shows that recycling is important to the community. By collecting cans, they not only help to keep the environment clean, but also contribute to the conservation of natural resources. It's great to see young people like Jacob and Bailey taking initiative and working towards making the world a better place.
Let's break down the problem into steps:

1. Jacob and Bailey collected a total of 351 aluminum cans from the playground.
2. Bailey collected twice as many cans as Jacob.

Let's use variables to represent the number of cans collected:
- Let J = number of cans Jacob collected
- Let B = number of cans Bailey collected

From the given information, we can create two equations:
1. J + B = 351
2. B = 2J

Now, substitute the second equation into the first equation:
J + (2J) = 351

Combine the terms:
3J = 351

Divide by 3:
J = 117

Now we know that Jacob collected 117 aluminum cans. Since Bailey collected twice as many cans as Jacob, we can calculate the number of cans Bailey collected:

B = 2J = 2(117) = 234

So, Jacob collected 117 aluminum cans, and Bailey collected 234 aluminum cans from the playground.

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If we were to measure a dependent variable's frequency, the appropriate method would be to count the number of times it occurred.

Frequency refers to the rate at which a behavior or event happens within a given timeframe. By counting the occurrences of the dependent variable, we can determine how often it happens or the number of times it is observed. The other options mentioned—timing the interval between responses, measuring the shape of the behavior, and timing how long it took to achieve—are not directly related to measuring frequency.

Timing the interval between responses would be more relevant for measuring the interresponse time or the duration between two consecutive instances of the behavior. Measuring the shape of the behavior would involve analyzing the pattern or characteristics of the behavior, such as its intensity or duration. Timing how long it took to achieve something would focus on the duration or latency of the behavior rather than its frequency.

Therefore, the correct approach for measuring frequency would be to count the number of occurrences of the dependent variable, providing an objective and quantitative assessment of how frequently the behavior or event takes place.

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Answer:

-1/10 - 7i/24

Step-by-step explanation: