reese sold half of his comic books and then bought 8 more. he now has 15. how many did he begin with?

Answer:

7 shirts

Step-by-step explanation:

The function for producing shirts is

f($) = 50 + 7.5(x), where x is the number of shirt

The function for selling shirts is

f($) = 15(x)

For there to be a profit, he must make more money selling the shirts than he spent on making the shirts

Therefore, 15(x) > 50 + 7.5(x)

15x > 50 + 7.5x

15x - 7.5x > 50

7.5x > 50

x > 6.67 shirts

To make a profit, Juan must sell at least 7 shirts

Answer:

\( \frac{46}{23} \)

Step-by-step explanation:

\( \frac{2 + 4(7 + {2}^{2} )}{4 \times 2 + 5 \times 3} \)

\( \frac{2 + 4(7 + 4)}{4 \times 2 + 5 \times 3} = \frac{2 + 4(7 + 4)}{8 + 5 \times 3} \)

\( \frac{2 + 4(7 + 4)}{8 + 15} = \frac{2 + 4 \times 11}{8 + 15} \)

\( \frac{2 + 4 \times 11}{23} = \frac{2 + 44}{23} \)

\( = \frac{46}{23} \)

Answer:

2+4(7+2)^2/4×2+5×3= 46/23

The given statement "Measuring the entire population is usually preferred over measuring a sample from the population" is False because measuring the entire population is often impractical or impossible.

When dealing with large populations, it is typically more feasible to gather data from a representative sample rather than measuring the entire population. This approach saves time, resources, and effort. Sampling allows statisticians to make reliable inferences about the population based on the characteristics observed in the sample.

Carefully chosen samples can accurately reflect the population's attributes and provide valuable insights.

However, it is crucial to ensure that the sample is representative and unbiased to avoid potential sampling errors and ensure the validity of the conclusions drawn from the data.

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Answer:

233 and 20 hrs

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

By the theorem of midsegment,

m(YZ) = \(\frac{1}{2}(AD+BC)\)

By using expression for the length of a segment between two points,

Length of a segment = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance between two points A(-5, -6) and D(3, 2),

AD = \(\sqrt{(3+5)^2+(2+6)^2}\)

AD = \(\sqrt{64+64}\)

AD = \(\sqrt{128}\)

AD = \(8\sqrt{2}\)

Distance between B(-6, -2) and C(-4, 0)

BC = \(\sqrt{(-6+4)^2+(-2-0)^2}\)

BC = \(\sqrt{8}\)

BC = \(2\sqrt{2}\)

Therefore, m(YZ) = \(\frac{1}{2}(8\sqrt{2}+2\sqrt{2})\)

                             = \(\frac{1}{2} (10\sqrt{2})\)

                             = \(5\sqrt{2}\)

Option C will be the answer.

The length of the midsegment YZ is \(5\sqrt 2\)

The coordinates are given as:

A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)

Start by calculating distance AD and CB using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2\)

So, we have:

\(AD = \sqrt{(3 +5)^2 + (2 +6)^2} = \sqrt{128}\)

\(CB = \sqrt{(-6 +4)^2 + (-2 -0)^2} = \sqrt{8}\)

The length of the midsegment is then calculated as:

\(YZ = \frac 12 * (AD + CB)\)

This gives

\(YZ = \frac 12 * (\sqrt{128} + \sqrt 8)\)

Simplify

\(YZ = \frac 12 * (8\sqrt{2} + 2\sqrt 2)\)

\(YZ = \frac 12 * (10\sqrt 2)\)

Simplify

\(YZ = 5\sqrt 2\)

Hence, the length of the midsegment YZ is \(5\sqrt 2\)

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Answer:

125

Step-by-step explanation:

360-70-60-65-40

= 125

Answered by GAUTHMATH

Answer:

36

51

-10

30

15

196

74

35

72

43

154

55.37

Step-by-step explanation:

5r + 2d

(5x6)+(2x3)=36

6 + 5(y + g)

6+25+20=51

3y - 5b

(3x5)-(5x5)= -10

b^2+ 3b – 10

5^2+(3x5)-10=30

(3r + 6) – d    

(3x6)-3=15

(4g–2)^2

(4x4-2)^2=196

o^2 + 5d + 10

7^2+(5x3)+10=74

8g + 6 / 2

(8x4)+6/2=35

(3r)4

(3x6)4=72

9g + 7

(9x4)+7=43

11(o + o)

11(14)=154

52 + d^3 / 8

52+(3^3/8) = about 55.37

Answer:

0 < x < 28

Step-by-step explanation:

The triangle inequality theorem states that the sum of any two sides of the triangle should be greater than the third side.

Therefore,

All the possible values of x are 26 < x < 28.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

So a triangle has three sides.

We have the triangle inequality theorem which states that,

The length of any side of the triangle is always less than the sum of the other two sides.

And the range of the possible measure of the third side is the sum and the difference of the other two sides.

So x < 27 + 1 = 28

and,

x > 27 - 1 = 26

So 26 < x < 28

Hence the measures of third side is 26 < x < 28.

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The measure of angle B, m∠B, is 113° when angle A and B are supplementary, and applying the law of syllogism allows us to form the statement R→T: If the dog jumps in the lake, then it can't come in the house.

To find m∠B when angles A and B are supplementary and ∠A is given as 67°, we use the fact that supplementary angles add up to 180°.

Applying the law of syllogism to the given statements R→S and S→T allows us to form a new statement based on the logical relationship between the two.

Angles A and B are supplementary, which means they add up to 180°.

If ∠A is given as 67°, we can find m∠B by subtracting 67° from 180°:

m∠B = 180° - 67°

m∠B = 113°

Therefore, the measure of angle B, m∠B, is 113°.

The law of syllogism allows us to combine two conditional statements to form a new statement.

Given the statements:

R→S: If the dog jumps in the lake, then it gets wet.

S→T: If the dog gets wet, then it can't come in the house.

By applying the law of syllogism, we can form a new statement based on the logical relationship between R, S, and T:

R→T: If the dog jumps in the lake, then it can't come in the house.

This new statement is formed by chaining the conditions from the original statements, showing the logical implication that if the dog jumps in the lake (R), then it can't come in the house (T).

In summary, the measure of angle B, m∠B, is 113° when angle A and B are supplementary, and applying the law of syllogism allows us to form the statement R→T: If the dog jumps in the lake, then it can't come in the house.

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The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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Answer:

− ( q p 4 − 12 q p 2 + 36 q − p 2 + 6 )

Step-by-step explanation:

Answer:10

Step-by-step explanation: 30/3=10 times, each time taking three minutes to count down

The expression that represents the relationship between the step number n and the total number of small squares in the pattern is this: (n-1)^2.

From the given information, we can see that the pattern starts with 0 squares at step 1, and each subsequent step adds a square to the pattern. However, the lower right square is always missing. Therefore, the total number of small squares in the pattern at step n can be represented by the expression: (n-1)^2

The reason we subtract 1 from n is that we started counting from step 1, whereas the expression (n-1)^2 assumes that we start counting from 0. Then we square (n-1) to account for the number of squares in the pattern, excluding the missing square in the lower right corner.

Complete Question:

Which expression represents the relationship between the step number n and the total number of small squares in the pattern?

A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.

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The expressions for (h - g)(x) and (h . g)(x) are -x - 8 and  (x - 5)(2x + 3)

While the function (h + g) (-1) is -5

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

g (x) = 2x+3

h(x) = x - 5

This means that

(h - g)(x) = x - 5 - 2x - 3

Evaluate

(h - g)(x) = -x - 8

Also, we have

(h . g)(x) = (x - 5)(2x + 3)

Lastly, we have

(h + g)(-1) = (x - 5) + (2x + 3)

So, we have the following equation

(h + g)(-1) = ((-1) - 5) + (2(-1) + 3)

Evaluate

(h + g)(-1) = -5

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Answer: 7.5

Step-by-step explanation:

The formula for the area of a triangle is height times base (or width) divided by 2. It is written as:

BxH/2

So when you put your numbers in the calculator you get this:

3×5/2=7.5

Hope this helps :)

Answer:

36

Step-by-step explanation:

1-40% = 1-0.4=0.6 or 60%

60% not good at art.

60*60% = 60*6/10 = 6*6 = 36

Answer:

36 students are not good at art.

Step-by-step explanation:

Do 0.40 x 60 because to convert a percentage to a decimal you divide it by 100. Multiply because in math, "of" means times. When you are done with this, you will get 24. That is how many students are good at art. Subtract that from 60 and you will get your answer.

1 with a remainder of 1

Answer:

D is the most likely answer

Step-by-step explanation:

this problem is strange, but knowing that 3x + 17 has a domain of all reals, all of them are possible, so the only limits are 5 and 71...

The ratio of the total area of the green regions to the area of the circle of radius 100 can be expressed as 1251/2500.

In the given scenario, there are 100 concentric circles with radii in a plane. The interior of the circle with radius 1 is colored red, and each consecutive region bounded by the circles is colored either red or green, ensuring that no two adjacent regions have the same color.

To find the ratio of the total green area to the area of the circle with radius 100, we can consider the pattern that emerges.

When we examine the regions, we observe that the first circle (radius 1) and the second circle (radius 2) are both colored red.

However, starting from the third circle (radius 3), the colors alternate between red and green. This alternating pattern continues until the 100th circle (radius 100).

Since there are 50 red regions and 50 green regions, the ratio of the total green area to the area of the circle with radius 100 is 50/100 or 1/2.

Therefore, the ratio can be simplified as 1/2 = 1251/2500, where the numerator (1251) and denominator (2500) are relatively prime positive integers.

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Answer:

3

Step-by-step explanation:

A function cannot have two y values for any value of x

answer three has two y values for x =1

2 tenths of $1.20 is $1.20. The model shows the following number sentence: $1.00 + 1 dime + 0 pennies = $1.20

To use dimes and pennies to find 2 tenths of $1.20 is quite simple. To get to $1.20, there are several steps that one needs to follow. Please follow the steps below;Step 1 - Find out how much 1 dime is worth. One dime is equivalent to 10 cents. Ten cents is equal to 1/10 of a dollar.

Therefore 1 dime = 1/10 dollar.Step 2 - Find out how much 1 penny is worth. One penny is equal to 1 cent. 100 cents = 1 dollar. Therefore, 1 penny = 1/100 of a dollar. Or better still, 100 pennies make up 1 dollar.Step 3 - Since we want to find 2 tenths of $1.20, let us first find 2 tenths of $1.00. 2/10 of $1.00 is equal to 20 cents ( 1 dime and 0 pennies). To find 2 tenths of $1.20, we add the 20 cents (1 dime and 0 pennies) to $1.00, which is equal to $1.20.

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If the plot of the residuals is fan-shaped, the assumption violated is the equal error variance (homoscedasticity) assumption.

The assumption of equal error variance (homoscedasticity) states that the variability of the residuals should be constant across all levels of the predictor variables. In other words, the spread of the residuals should be the same throughout the range of the predictors. When this assumption is violated, the plot of the residuals tends to exhibit a fan-shaped pattern.

A fan-shaped plot of residuals indicates that the variability of the errors is not constant. This violation of homoscedasticity can lead to problems in statistical inference and can affect the reliability of the model's estimates and predictions. It suggests that the variability of the response variable is not adequately captured by the model, and there may be unaccounted factors that influence the spread of the residuals.

Therefore, if the plot of the residuals is fan-shaped, the assumption of equal error variance (homoscedasticity) is violated.

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Answer:

AO and OB

Step-by-step explanation:

The radii are radiuses and in this case you have two. They radius half of the circle and the diameter is the whole length. Hope this was helpful.

Answer:

an identity............

Answer:

An identity

Step-by-step explanation:

An identity is an equation, which is true for all values of the variables in the equation.

Answer:

Nuclear Fusion is the cleanest.

Step-by-step explanation:

The following advantages make fusion worth pursuing. Abundant energy: Fusing atoms together in a controlled way releases nearly four million times more energy than a chemical reaction such as the burning of coal, oil or gas and four times as much as nuclear fission reactions (at equal mass).

Answer: Based on the survey results, we can calculate the number of ice cream cones to sell for each flavor by multiplying the percentage of the flavor by the total number of ice cream cones to be sold.

Mint: 10% of 300 ice cream cones = 0.1 * 300 = 30 ice cream cones

Strawberry: 25% of 300 ice cream cones = 0.25 * 300 = 75 ice cream cones

Chocolate chip: 15% of 300 ice cream cones = 0.15 * 300 = 45 ice cream cones

Vanilla: 50% of 300 ice cream cones = 0.5 * 300 = 150 ice cream cones

So, based on the survey results, you should sell 30 ice cream cones of Mint flavor, 75 ice cream cones of Strawberry flavor, 45 ice cream cones of Chocolate chip flavor, and 150 ice cream cones of Vanilla flavor.

It's worth mentioning that the sum of the percentages provided, 10+25+15+50 = 100%. Which means that it is a proper survey and the total number of ice cream cones you expect to sell is equal to the survey results.

Step-by-step explanation:

Based on the survey results flavors sold at the sporting event are, 30 mint ice creams, 75 Strawberry icecreams, 45 Chocolate chip icecreams, and 150 Vanilla icecreams.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

The number of different types of ice creams can be obtained as follows,

10% - Mint.

= (10/100)×300.

= 30.

25% - Strawberry.

= (25/100)×300.

= 75.

15% - Chocolate chip.

= (15/100)×300.

= 45.

50% - Vanilla.

= (50/100)×300.

= 150.

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a. the sum of the first 200 natural numbers is 20,100. b. when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

(a) To find the sum of the first 200 natural numbers, we can use the formula for the sum of an arithmetic series.

The sum of the first n natural numbers is given by the formula: Sn = (n/2)(a + l), where Sn represents the sum, n is the number of terms, a is the first term, and l is the last term.

In this case, we want to find the sum of the first 200 natural numbers, so n = 200, a = 1 (the first natural number), and l = 200 (the last natural number).

Substituting these values into the formula, we have:

Sn = (200/2)(1 + 200)

  = 100(201)

  = 20,100

Therefore, the sum of the first 200 natural numbers is 20,100.

(b) The ball rebounds three-fourths of the distance it drops, so each time it hits the pavement, it travels a total distance of 1 + (3/4) = 1.75 times the distance it dropped.

For the 6th rebound, we need to find the distance the ball traveled when it hits the pavement.

Let's represent the initial drop distance as h (30 ft).

The total distance traveled after the 6th rebound is given by the sum of a geometric series:

Distance = h + h(3/4) + h(3/4)^2 + h(3/4)^3 + ... + h(3/4)^5 + h(3/4)^6

Using the formula for the sum of a geometric series, we can simplify this expression:

Distance = h * (1 - (3/4)^7) / (1 - 3/4)

Simplifying further:

Distance = h * (1 - (3/4)^7) / (1/4)

        = 4h * (1 - (3/4)^7)

        = 4 * 30 * (1 - (3/4)^7)

Calculating the value:

Distance ≈ 4 * 30 * (1 - 0.1335)

        ≈ 4 * 30 * 0.8665

        ≈ 104 ft

Therefore, when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

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The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

The graph is shown below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 2x - 3 for -2 ≤ x ≤ 3.

The x values are between -2 and 3

For x = -2,

y = 2 x (-2) - 3 = -4 - 3 = -7

For x = 3,

y = 2 x 3 - 3 = 6 - 3 = 3

Now,

The graph is shown below.

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