Toby says that he can evaluate 8-5+2 by first adding 5 and 2 and then subtracting the sum, 7, from 8. Do you agree or Disagree with Toby? Explain.

Answer:

$20

Step-by-step explanation:

let the regular price of the mirror be 'x'

x*25/100=5

25x/100=5

cross multiply

25x=500

divide both sides by 25

x=$20

Answer:

2 bag of chips

Step-by-step explanation:

Total Money Kumar had = $10.00

Money spent on buying candy bar = $1.75

Money left with Kumar after buying candybar  can be obtained by subtracting

Money spent on buying candybar  from Total Money Kumar had.

Money left with Kumar after buying candybar  =  $10.00- $1.75 = $8.25.

It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.

cost of one bag of chips = $2.99

Let no of bag of chips  kumar can buy be x .

Therefore total money spent on buying x bag of chips  is $2.99 time no. of  bag of chips bought

Mathematically it can be expressed as

Total money spent on buying x bag of chips = $2.99 * x = $2.99 x

It is given that he can spent only $8.25 to buy bag of chips.

which means

$2.99 x = $8.25

=> x = 8.25/2.99 = 2.75

Thus he can buy  2.75 bag of chips.

But bag of chips can be only integral number as bag cannot be in fraction .

hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98

Rest of the money will be left which will be 8.25 - 5.98 = $2.27

Answer:

8

Step-by-step explanation:

Answer:

  D'E' = 4/5

Step-by-step explanation:

Corresponding sides have the same scale factor (the dilation factor).

  D'E'/DE = E'F'/EF

  D'E' = (DE)(E'F'/EF) = 8((3/5)/6) . . . multiply by DE; substitute given values

  D'E' = 4/5

Answer:

to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore

x^2 + 10x + 25 - 2 =2 - 2

therefore

x^2 + 10x +23 = 0

now since the equation cannot be factored, we use the formula.

x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)

where

a=1

b=10

c=23

note we use the coefficients only.

therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)

=\(\frac{-10-+\sqrt{100-92} }{2}\)

=\(\frac{-10-+\sqrt{8} }{2}\)

then we form two equations according to negative and positive symbols

x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)

therefore x = \(-5+\sqrt{2}\)   or x=\(-5-\sqrt{2}\)

The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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

The function approaches y = 0 as x approaches positive infinity.

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The actual price of the TV is $ 566.37. During a sale, it was sold at $ 502.21. 11.3282% decrease in the price of the TV.

First, we need to the difference in the price.

Let us call the actual price M.R.P and the value it was sold for as S.P

SO we have M.R.P = $ 566.37 and S,P = $ 502.21. THe difference D = M.R.P -S.P = $566.37-$502.21 = $64.16

To find the percent decrease will have to compare the difference with M.R.P and multiply it by a hundred so we get,

D% = (D/M.R.P)x 100 = 64.16/566.37 x100 = 11.3282 %.

Discount pricing is a type of promotional pricing strategy that involves lowering the original price of a product or service with the goal of increasing traffic, moving inventory, and increasing sales. Consumers are attracted to low prices because they want to feel they are getting a good deal.

The difference between what a consumer is willing to pay for a service and the market price. The potential price of Rs.250 and the actual price he considers is Rs.200.

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OPTION A

y= 3x+6

This equation satisfies for all the value given in the table.

For (0,6)

y = 3(0)+6 = 6

For (2,12)

y=3(2) +6 = 6+6= 12

And so on.

Answer:

6789

Step-by-step explanation:

The magnitude of the vector sum (A + B) is approximately 4.974.

To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.

Given:

Vector A: (5.1, 0)

Vector B: (-2.6, -4.3)

To find the vector sum (A + B), we add the corresponding components:

(A + B) = (5.1 + (-2.6), 0 + (-4.3))

= (2.5, -4.3)

Now, let's calculate the magnitude of the vector (2.5, -4.3):

Magnitude = sqrt((2.5)^2 + (-4.3)^2)

= sqrt(6.25 + 18.49)

= sqrt(24.74)

≈ 4.974

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Answer:

The estimate of the population proportion is 0.3232.

Step-by-step explanation:

Estimate of the population proportion:

The estimate is the sample proportion, which is the number of desired outcomes divided by the number of total outcomes.

In this question:

32 out of 99, so:

\(p = \frac{32}{99} = 0.3232\)

The estimate of the population proportion is 0.3232.

Answer:

67.2

Step-by-step explanation:

You take 100 and minus 32.8

it is the same as  10minus 8 is 2 so we right the 2. then 9-2 is 7. and 9-3 is 6

    99.(1)0

-

    32.8

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

    67.2            

The drawing of the 3 different ways (obtained by writing the equation related to the information in the question) to arrange the panels that gives the 3 playpens different dimensions created with MS Word is attached.

An equation is a mathematical (representation) of a statement that connects two expressions with an equals sign.

The number panels on the playpen = 12

Length of each panel = 2 feet long

The number of ways to arrange the panel = 3 ways

The number of panels on each side of the playpen can be found using the equation;

2·a + 2·b = 12

Where;

a and b are natural numbers (integers larger than zero)

a and b are the number of panels on a width and the adjacent length of the playpen

Therefore;

(2·a + 2·b)/2 = 12/2 = 6

2·(a + b)/2 = 6

a + b = 6

b = 6 - a

Fist configuration

When a = 1, b = 6 - 1 = 5

a = 1, b = 5

Second configuration

When a = 2, b = 6 - 2 = 4

a = 2, b = 4

Third configuration

When a = 3, b = 6 - 3 = 3

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Therefore, the correct statement is:" D corresponds to E." that is option B.

A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.

Here,

In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).

To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.

A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.

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Answer:

  -2 > -6  . . .   or  . . .  R > S

Step-by-step explanation:

If you plot the temperatures of the two cities on a number line, you see that the temperature for City R is plotted to the right of the temperature for City S. This means the temperature of City S is less than that of City R.

If your inequality relates cities:

  S < R   or   R > S

If your inequality relates temperatures:

  -6 < -2   or   -2 > -6

The square feet of paper that will cover the model is 56 ft squared.

The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.

Therefore,

surface area of the square base pyramid = A + 1 / 2 ps

where

Therefore,

p = 4 × 4 = 16 ft

s = 5 ft

A = 4² = 16 ft²

Therefore,

surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5

surface area of the square base pyramid = 16 + 40

surface area of the square base pyramid = 56 ft²

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Answer: D = √2

(please respond if im wrong)

Step-by-step explanation:

The fold is made along BE. A folds onto A′.

A′B = AB =√2 ⇒ A′C = 1

(by Pythagoras)

ΔA′BC

is therefore a right-angled isosceles triangle.

⇒∠BA′C=45∘ ⇒∠EA′D=45∘

⇒ ED = A′D = √2−1

Answer:

mom this u?

Step-by-step explanation:

The compound interest rate of the investment is 1.10%

The given parameters about the compound interest are

Principal, P = $11,000

Amount, A = $20,000

Time, t = 9

Number of times, n = 12 i.e. monthly interest

To calculate the amount, we have:

A = P(1 + R/n)^nt

Substitute the known values in the above equation, so, we have the following representation

20000 = 11000 * (1 + r/12)^(12 * 9)

This gives

1.82 = (1 + r/12)^108

Take the 108th root of both sides

1 + r/2 = 1.0055

Subtract 1 from both sides

r/2 = 0.0055

Multiply by 2

r = 0.011

Express as percentage

r = 1.10%

Hence, the value of the interest rate is 1.10%

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Answer:

6.66%

Step-by-step explanation:

Compounded Monthly:

�

=

�

(

1

+

�

�

)

�

�

A=P(1+

n

r

​

)

nt

Compound interest formula

�

=

20000

�

=

11000

�

=

9

�

=

12

A=20000P=11000t=9n=12

Given values

20000

=

20000=

11000

(

1

+

�

12

)

12

(

9

)

11000(1+

12

r

​

)

12(9)

Plug in values

20000

=

20000=

11000

(

1

+

�

12

)

108

11000(1+

12

r

​

)

108

Multiply

20000

11000

=

11000

20000

​

=

11000

(

1

+

�

12

)

108

11000

11000

11000(1+

12

r

​

)

108

​

Divide by 11000

1.8181818

=

1.8181818=

(

1

+

�

12

)

108

(1+

12

r

​

)

108

(

1.8181818

)

1

/

108

=

(1.8181818)

1/108

=

[

(

1

+

�

12

)

108

]

1

/

108

[(1+

12

r

​

)

108

]

1/108

Raise both sides to 1/108 power

1.0055509

=

1.0055509=

1

+

�

12

1+

12

r

​

−

1

−1=

−

1

−1

Subtract 1

0.0055509

=

0.0055509=

�

12

12

r

​

12

(

0.0055509

)

=

12(0.0055509)=

(

�

12

)

12

(

12

r

​

)12

Multiply by 12

0.0666108

=

0.0666108=

�

r

6.66108

%

=

6.66108%=

�

r

Convert to percent (multiply by 100)

�

≈

r≈

6.66

%

6.66%

Round to the nearest hundredth of a percent

It is important the order we write the vertices of a triangle in a congruent statement as

B. The order tells us what sides are congruent.

D. The order tells us what angles are congruent.

A vertex (plural vertices) in geometry is the intersection of two straight lines. Three line segments come together to form a triangle. The ends of a triangle's three sides meet at three separate points in a plane to form the triangle, which has three sides with two endpoints each. The vertices of a triangle are the three distinct intersecting points or corners.

Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.

The vertices of a triangle in a congruent statement are important for the ordering. In conclusion, the correct options are B and D.

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Check the picture below.

Answer:

The height = 18 inches

Step-by-step explanation:

The volume = area of the base × height

Area of the base = 40.5 inches²

The volume = 729 inches³

729 = 40.5 × height

Height = 729 ÷ 40.5 = 18 inches

Solving a system of equations we will see that Edmund will plant 4 yellow tulips and 8 white lilies.

Let's define our variables as:

We know that for each yellow tulip he will plant two white lilies, then:

y  = 2x

And we also know that he wants to plant 12 flowers, so:

x + y = 12

Then we have a system of equations:

x + y = 12

y  = 2x

Substituting the second equation into the first one, we will get:

x + 2x = 12

3x = 12

x = 12/3

x = 4

Then the value of y is:

y = 2x

y = 2*4 = 8

Then he will plant 4 yellow tulips and 8 white lilies.

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Answer:

5.04

Step-by-step explanation:

=> 52 -3.5y -4y = 4y -6

Take everything with y to left and numbers to right

=> -3.5y -4y -4y = -52 -6

=> -11.5y = -58

=> 11.5 y = 58

=> y = 58/11,5= 5.04

Answer:

The prices of the two stocks will be the same in 1.56 hours.

Step-by-step explanation:

The price of Stock A at 9 A.M. was ​$12.95 Since​ then, the price has been increasing at the rate of ​$0.12 each hour.

This means that after x hours, the value of Stock A is:

\(S_{A}(x) = 12.95 + 0.12x\)

After noon:

Noon is 3 hours after 9 AM, so

\(S_{A}(3) = 12.95 + 0.12*3 = 13.31\)

So in x hours after noon, the value is given by:

\(S_{A}(x) = 13.31 + 0.12x\)

At noon the price of Stock B was ​$13.70. It begins to decrease at the rate of ​$0.13 each hour.

This means that after x hours, the value of Stock B is:

\(S_{B}(x) = 13.70 - 0.13x\)

In how many hours will the prices of the two stocks be the​ same?

This is x for which:

\(S_{A}(x) = S_{B}(x)\)

\(13.31 + 0.12x = 13.70 - 0.13x\)

\(0.25x = 0.39\)

\(x = \frac{0.39}{0.25}\)

\(x = 1.56\)

The prices of the two stocks will be the same in 1.56 hours.

The approximate margin of error for a survey based on 2,700 adults, when rounded to nearest thousand is 0.021.

In statistical surveys, the margin of error is a measure of the expected amount of random sampling error that is present in a survey's results. It is a range of values that is likely to contain the true value of the population parameter being estimated, with a certain degree of confidence.

In other words, the margin of error is the amount by which the sample estimate may differ from the true value of the population parameter.

The margin of error is affected by several factors, such as the size of the sample and the level of confidence. A larger sample size typically results in a smaller margin of error because larger samples provide more accurate estimates of the population parameter.

Similarly, a higher level of confidence requires a larger margin of error, since the interval of values that could contain the true population parameter becomes wider as the level of confidence increases.

Assuming a 95% level of confidence, the formula for calculating the margin of error is:

Margin of error = z * sqrt(p * (1 - p) / n)

where:

z is the z-score for the desired level of confidence (1.96 for 95%)

p is the sample proportion, which is the proportion of the sample that exhibits a particular characteristic of interest (e.g., the proportion of respondents who support a certain political candidate)

n is the sample size, which is the number of observations in the sample.

If the sample proportion is not known, it is common to use a value of 0.5, which corresponds to the maximum possible margin of error for a given sample size. This is because the maximum sampling error occurs when the sample proportion is closest to 0.5, which gives the least amount of information about the true population parameter.

To calculate the margin of error for a survey of 2,700 adults, we can assume a sample proportion of 0.5 and a 95% level of confidence. Plugging these values into the formula, we get:

Margin of error = 1.96 * sqrt(0.5 * (1 - 0.5) / 2700)

= 1.96 * sqrt(0.25 / 2700)

= 1.96 * 0.008

= 0.016

Rounding to the nearest thousandth, the approximate margin of error is 0.021. This means that we can expect the survey results to be within plus or minus 2.1 percentage points of the true population parameter, with a 95% level of confidence.

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Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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Answer:

.475

Step-by-step explanation:

This is the Ansewer

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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