The ratio of dolls thta jack had to peter was 5:2. After jack gave peter 15 dolls, they had the same amount of dolls. How many do they have together?

Answer:

The right endpoint coordinates are (16, 4).

Step-by-step explanation:

Going from (-6, 6) to (5, 5), we see x increasing by 11 and y decreasing by 1.  We want to find the coordinates of the other endpoint, which lies to the right of the given midpoint.  The increase in x from the midpoint to the right end point is 11 and the decrease in y is 1.

To find the coordinates of the right end point, start with the midpoint and increase its x-coordinate by 11 and decrease its y-coordinate by 1.  We get:

(5 + 11, 5 - 1), or (16, 4).

The right endpoint coordinates are (16, 4).

The statement best describing is only statistics for the ten states are reported

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. Statistics can be used to make future predictions calculate the likelihood that a given event will occur, or provide information about a survey. It primarily serves to convey knowledge, compute probabilities, and store records. In essence, it improves our understanding of the world by using numbers and other quantitative data.

In the given case, a total of ten states were selected by Judy and then the statical analysis was made. As per the given options, the correct option is that only statistics for the ten states are reported. This is because the number of terms, which are the states is ten.

Complete Question

Judy selected ten states and then calculated statistics on them. Which statement best describes the resulting statistics?

Only statistics for the ten states are reported.

No statistics are reported.

Statistics for all fifty U.S. states are reported.

The number of states included in the report depends on whether an attribute, interactive or spatial query was used to make the selection.

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Answer:

(625 - 121)(625 + 121)

Step-by-step explanation:

625² - 121² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

625² - 121²

= (625 - 121)(625 + 121) ← in factored form

The solution is:

1) The number of miles Priya ran last week was 43 miles

2) The way Elena found Priya's miles is faster compared to the way it was found here

Here, we have,

1) The number of miles Priya ran this week = The number of miles Priya ran last week - 7

The number of miles Priya ran this week = 9 × The number of miles Elena ran this week

The number of miles Elena ran this week = 4 miles

Therefore;

Let the number of miles Priya ran last week = x miles

The number of miles Priya ran this week = (x - 7) miles

Therefore, we have

(x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles

x = (36 + 7) miles = 43 miles

The number of miles Priya ran last week = x miles = 43 miles

The number of miles Priya ran last week = 43 miles

2) From (x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles, we have;

(x - 7) = 9 × 4

1/9(x - 7) = 4

Therefore, multiplying by 9, we have;

9 × 1/9(x - 7) = 9 × 4

(x - 7) = 9 × 4 = 36

x - 7 + 7 = 36 + 7

x = 43 miles

Therefore, the way Elena found Priya's miles is faster compared to the way it is found here.

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complete question:

Priya was busy studying this week and ran 7 fewer miles than last week. She ran 9 times as far as Elena ran this week. Elena only had time to run 4 miles this week.

How many miles did Priya run last week

Elena writes the equation 1/9(x﹣7) = 4 to describe the situation. She solves the equation by multiplying each side by 9 and then adding 7 to each side. How does her solution compare to the way you found Priya’s miles?

The expected value for a student to spend on lunch each day is $7.09.

To calculate the expected value for a student to spend on lunch each day based on the survey data,

we need to find the average amount spent by each student.

We can calculate the expected value by summing up the products of the number of students and the amount spent on lunch for each category, and then dividing by the total number of students:

Expected value = \((2 * 10 + 1 * 8 + 2 * 6 + 3 * 5 + 8 * 4 + 11 * 3 + 10 * 2.59 + 13 * 5.11 + 10 * 5.18 + 10 * 9.07) / 50\)

Expected value = \((20 + 8 + 12 + 15 + 32 + 33 + 25.9 + 55.21 + 51.8 + 90.7) / 50\)

Expected value = $354.71 / 50

Expected value ≈ $7.09

Therefore, based on the survey data, the expected value for a student to spend on lunch each day is approximately $7.09.

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Answer:

b

Step-by-step explanation:

Answer:

$4.76

Step-by-step explanation:

It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.

We have to find 170% of the cost of making each sandwich ($2.80):

170/100 * 2.80 = $4.76

The sandwich sells for $4.76

Answer:

ben

Step-by-step explanation:

Answer:

x is less than or equal to 16

Step-by-step explanation:

- 2 x x + 4 < 20

Isolate the variable

divide 2 from 2 = 0

x + 4 < 20

x is less than or equal to 16

Answer:

(2, 6)

Step-by-step explanation:

( \(x_{1}\) , \(y_{1}\) )

( \(x_{2}\) , \(y_{2}\) )

Coordinates of midpoint are

( \(\frac{x_{1} +x_{2} }{2}\) , \(\frac{y_{1} +y_{2} }{2}\) )

~~~~~~~~~~~~~~

(12, 4)

(- 8, 8)

( \(\frac{-8+12}{2}\) , \(\frac{8+4}{2}\) ) = (2, 6)

Answer:

Rs 1,650

Step-by-step explanation:

The given contribution are;

A contributes Rs 20,000, and B contributes Rs 30,000

The percentage of the profit A receives as manager = 25%

The amount of the profit divided in the ratio of their contribution = The remaining profit (75%)

The amount B gets = Rs1,350

The amount A gets = required

The ratio of their contribution at which the remaining profit is shared = 20,000:30,000 = 2:3

Where, out of 5 parts of 75% of the profits, B gets 3, while A gets 2

Let P represent the profit, we have;

B's share = 3/5× 0.75 × P = 1,350

∴ P = (5 × 1,350/3)/0.75 = 3,000

A gets 25% of the profits and 2/5 of the 75% remaining profit

∴ The amount A gets = 0.25×3000 + (2/5)×0.75×3000 = 1,650

Or simply put;

A gets the remainder of the profit which is Rs 3,000 - Rs 1,350 = Rs 1,650

Answer:

x>14

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

-4>-2x+24

Step 2: Flip the equation.

-2x+24<-4

Step 3: Subtract 24 from both sides.

-2x+24-24<-4-24

-2x<-28

Step 4: Divide both sides by -2.

-2x-2<-28-2

x>14

If it is right can I have brainliest.

Answer:

woomy...

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

using the tangent ratio in the right triangle

tan D = \(\frac{opposite}{adjacent}\) = \(\frac{EF}{DE}\) = \(\frac{9}{15}\) , then

∠ D = \(tan^{-1}\) ( \(\frac{9}{15}\) ) ≈ 31.0° ( to the nearest tenth )

Answer:

11.7 units

Step-by-step explanation:

sq root(2--4)^2+(-7-3)^2

sq root(6)^2 + (-10)^2

sq root (36)+(100)

sq root 136

equals 11.66 which rounds up to 11.7

Answer:

x =  17.32 units

Step-by-step explanation:

In a right triangle tan (angle) = opposite leg / adjacent leg...

  for this triangle   tan 27° = 34 / x

      then x = 34 tan 27° = 17.32 units

Answer:

90

Step-by-step explanation:

350+60= 410 & 500-410=90

Answer: The number of people who drank both is 90

This is because we need to subtract 350 people from 500 people, because we know that they didn't drink the drink. We have 150 people left. Another 60 people don't drink the drink at all, so we need to subtract that from the remaining 150 people left. We get the solution of 90 people who could only have drank both drinks based of of the givens you have provided.

The fraction is equal to 3/7

the sum of numerator and denominator is equal to 100

Let the numerator = x

Since, Numerator + Denominator = 100

x + Denominator = 100

Denominator = 100 - x

Thus, the fraction is in the form of;

Since it is given that the fraction is equal to 3/7

So,

Simplify the expression for x;

So, the numerator is 30

Since, Denominator = 100 - x

Substitute x = 30

Denominator = 100 - x

Denominator = 100 - 30

Denominator = 70

Thus, we have numerato = 30 denominator = 70

So, the resulting fraction is given as;

Answer: 30/70

Answer:

B

Step-by-step explanation:

7 - a + 3

subtract 7 from both sides.

-a = 3 - 7

add like terms (3 + - 7)

-a = -4

divide both sides by -1. (remember that in front of the a, a 1 is there.)

a = 4

answer: b. 4

The derivative of the vertical position of the pumpkin trajectory with respect to its horizontal position is 2ax, as given by option b.

To find the position of maximum height of the pumpkin, the students need to find the point where the derivative of the vertical position with respect to the horizontal position is equal to zero. Setting 2ax equal to zero and solving for x, we get x=0. This means that the pumpkin reaches its maximum height at x=0, or in other words, at the point where it is launched from the trebuchet.

To find the value of the maximum height, we can substitute x=0 into the original equation for the pumpkin's trajectory. This gives us y(0) = b, which means that the maximum height of the pumpkin is b units.

The derivative of the vertical position of the pumpkin trajectory with respect to its horizontal position is 2ax because the derivative of ax^2 with respect to x is 2ax. This means that the rate of change of the pumpkin's height with respect to its horizontal position is proportional to 2ax. When x is zero, the derivative is also zero, which indicates that the pumpkin has reached its maximum height at that point.

This is because at the maximum height, the rate of change of height with respect to horizontal distance is zero. Finally, we find the value of the maximum height by substituting x=0 into the equation for the pumpkin's trajectory.

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By using the power rule of integration, the solution for F(x) is: F(x) = \(4x^4 + 7x^2 + 7x - 23\)

To find F, we need to integrate F'(x) with respect to x.
So, F(x) = ∫(16x³ + 14x + 7) dx
Using the power rule of integration, we can integrate each term separately.
∫(16x³) dx = \(4x^4\) + C1
∫(14x) dx = 7x² + C2
∫(7) dx = 7x + C3
Adding all of these results, we get:
F(x) = \(4x^4\) + 7x² + 7x + C
Now, we need to use the initial condition F(1) = -5 to solve for the constant C.
F(1) = \(4(1)^4\) + 7(1)² + 7(1) + C = -5
Simplifying this equation, we get:
4 + 7 + 7 + C = -5
C = -23
Therefore, the solution for F(x) is: F(x) = \(4x^4 + 7x^2 + 7x - 23\)

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The table of values for the function rule is

n | f(x)

0 | 29

2 | 35

4 | 41

6 | 47

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

y = 29 + 3x

To fill in a table using a function rule, we apply the function rule to each input to calculate the corresponding output, and write these values in the right-hand column of the table

We have the x values to be

x = 0, 2 4 and 6

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

y = 29 + 3(0) = 29

y = 29 + 3(2) = 35

y = 29 + 3(4) = 41

y = 29 + 3(6) = 47

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Answer:

Step-by-step explanation:

the area of a parallelogram is the same as a rectangle, well, uses the same formula. therefore it uses base × height.

for this equation we need to do 7.1 × 11.4

7.1 × 11.4 = 80.94

if you need to round the number to a whole number, it will be 81 because the first decimal digit is the number 9, and any decimal number 5 or up rounds up to the next number :D

good luck :)

-cheesetoasty

In a residual plot if the linearity assumption is the points are scattered and there is no obvious pattern.

Residual plot:

in statistics, residual value is a measure of how much a regression line vertically misses a data point.

Given,

Here we need to find what would you expect to see in a residual plot if the linearity assumption is correct.

As per the definition of residual plot, there is no obvious pattern for this plot and the positive and negative values are evenly spread across the whole range.

Therefore, in the regression line there are some points are misses the line on the vertical base.

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Answer:

It's A. 11.12 gallons. I'm sure

Step-by-step explanation:

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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Can someone help explain how to solve

In the picture there are 4 question that are

1) \(A(-6,-2)\rightarrow A^{'}(-6,2)\\B(-3,-6)\rightarrow B^{'}(-3,6)\\C(-2,-2)\rightarrow C^{'}(-2,2)\\\)

2)\(D(15,10)\rightarrow D^{'}(6,4)\\E(5,10)\rightarrow E^{'}(2,4)\\F(10,-5)\rightarrow F^{'}(4,-2)\\\)

3)\(G(-2,7)\rightarrow G^{'}(-7,-2)\\H(-4,8)\rightarrow H^{'}(-8,-4)\\I(-3,5)\rightarrow I^{'}(-5,-3)\\\)

4) \(J(11,-8)\rightarrow J^{'}(1,-5)\\K(6,-1)\rightarrow K^{'}(-4,2)\\L(3,-7)\rightarrow L^{'}(-7,4)\\\)

The transformation has the following form:

1)\((x,y)\rightarrow(x,-y)\)

2)\((x,y)\rightarrow\frac{2}{5}(x,y)\)

3)\((x,y)\rightarrow(-y,x)\\\)

4) It does not have transformation.

Geometric Transformation:

Images of triangles, quadrilaterals, pentagons, and other geometric shapes can undergo geometric transformations through the vertices in a Cartesian plane. Reflection, rotation, and translation are the three transformations; they only affect the geometric figure's location and not its size. Expansion and contraction are the two transformations that alter the geometric figure's size.

It is necessary to know the sort of transformation that took place given the points and their transformations.

1) We observe that point transformation A,B and C are transformed.

The transformation has the following form:

\((x,y)\rightarrow(x,-y)\)

Every x-value remains constant, while every y-value flips from what it was.\((x,y)\rightarrow(x,-y)\)

2)We observe that point transformations D, E, and F are contractions. Let's now identify the scalar that was applied to the transformation. We compute the product of the original point's coordinate and one of the transformation point's coordinates.

\(\frac{D^{'} _{y} }{D_{ y}} =\frac{4}{10} =\frac{2}{5}\)

We multiply the coordinates of points E and F and check the results to make sure this is true.

For E:

\(\frac{2}{5} (5,10)=(2,4)\\Therefore,E^{'} =(2,4)\)

For F:

\(\frac{2}{5} (10,-6)=(4,-2)\\Therefore,F^{'} =(4,-2)\)

Therefore, The transformation has the following form:

\((x,y)\rightarrow\frac{2}{5}(x,y)\)

3)We observe that point transformation G,H and I are transformed.

The transformation has the following form:

\((x,y)\rightarrow(-y,x)\)

Every y-value flips from what it was to the opposite. The x and y values are reversed.\((x,y)\rightarrow(-y,x)\)

4)We observe that point transformation J,K and L are not transformed.

It does not satisfy the condition of the transformation.

Therefore, this is how we solve the transformation.

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Answer:

The area of the circular floor in square feet is 6,939.78 ft².

The area of the circular floor in square yards is 771.09 yd².

The legislature must spend $60,145 for the carpeting project.

Step-by-step explanation:

The area of a circle is given by the formula A = πr², where r is the radius of the circle.  The radius of a circle is half its diameter.

Given the diameter of the state capital building's circular floor is 94 feet, its radius is:

\(\implies r=\dfrac{94}{2}=47\sf \;ft\)

To find the area of the circular floor in square feet, substitute r = 47 into the formula for area of a circle:

\(\begin{aligned}\implies \sf Area &= \pi(47)^2\\&=2209\pi\\&=6939.78\;\sf ft^2\;(2\;d.p.)\end{aligned}\)

Therefore, the area of the circular floor in square feet is 6,939.78 ft² (rounded to two decimal places).

To convert square feet to square yards, divide the area in square feet by 9. Therefore, the area of the circular floor in square yards is:

\(\begin{aligned}\implies \sf Area &= \dfrac{2209\pi}{9}\\&=771.09\; \sf yd^2\;(2\;d.p.)\end{aligned}\)

Therefore, the area of the circular floor in square yards is 771.09 yd² (rounded to two decimal places).

To find the total cost of the project, given the lowest bid for the project is $78 per square yard, multiply the area of the circular floor in square yards by the cost per square yard:

\(\begin{aligned}\implies \sf Total\;cost &=771.09 \cdot \$78\\&=\$60145.02\end{aligned}\)

Therefore, the legislature must spend $60,145 for the carpeting project, (rounded to the nearest dollar).

Answer:

\( \frac{ \sqrt{10} }{5} \)

or .632

Step-by-step explanation:

You have the beginning right.

However, it is X squared, so once you have the answer from adding the two fractions together, you have to Square Root that answer.

Answer:

x= √(10/25)

Step-by-step explanation:

From what you've written, you're on the right track. The formula is a^2+b^2=c^2. our two sides are a and b (doesn't really matter here which is which). And the hypotenuse, the longest leg the diagonal, is always c. Based on your substitution, everything is correct, except x. x should be squared. so the equation you should have is (1/5)^2 + (3/5)^2=x^2. From there, solve for x by adding a^2 and b^2 to get 10/25 = x^2.

Take the square root of each side to find √(10/25)=√(x^2). This is simplified as x equals plus or minus √(10/25). it's plus or minus because you took the square root. It's important to write that when solving square root. However, since this is a triangle your answer will be positive(you can't have negative distance).

Answer:

28

Step-by-step explanation:

1/2xbxh=4

To find the total area of the shape, we can subtract the removed area from the larger area. 32-4=28