Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?

It should be noted that the number of hours slept will have to be plotted on the x-axis.

Also, the number of mistakes that was made will be plotted on the y-axis.

Each point on the scatterplot will represent one participant in the study.

It should be noted that to illustrate the two variables given in Table 1, we can create a scatterplot using R code.

In this case the number of hours slept will have to be plotted on the x-axis, and the number of mistakes made will be plotted on the y-axis.

Looking at the scatter plot, we can see that there is a general trend that more hours of sleep are associated with fewer mistakes made.

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Answer:

15

Step-by-step explanation:

H - 7

When H = 22, replace H with 22 in the equation.

22 - 7 = 15

Answer:

15

Step-by-step explanation:

Since H=22, therefore when you plug in 22 for h in the equation, you get 22-7=15

Since He Sells 15 Iteam The He Meet His Goal Of L + S >= 12

As Far As The Other Inequlty

425*9 + 125*6 = $4575 (Goal Acheived)

The Answer Is Yes He Meets Both Of His Goals

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours Kelly works for her dad per week and y represent the number of hours Kelly works in the daycare center per week.

Since she wants to make $84 per week, hence:

8x + 14y ≥ 84     (1)

Also, she can work a maximum of 10 hours per week, hence:

x + y ≤ 10           (2)

Using equation 1 and 2 and plotting the constraints on geogebra online graphing tool, the solution to the problem is at points:

A(0, 6), B(0, 10) and C(9.3, 0.7)

It should be noted that it isn't possible for the manufacturer to adjust the confidence interval to take this nonresponse into account.

It should be noted that the confidence interval measures the degree of uncertainty or certainty that is found in a sampling method.

In this case, the confidence interval shows the probability which a parameter will fall between a pair of values.

From the complete question, it's not possible to adjust the confidence interval to compensate for the bias that is inherent in the data collection method.

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7.36 for each cap

$36.80 is the cost for 5 caps. if we divide the cost of the pack to the individual number of idems (caps), the equation (36.80÷5) will come out to $7.36, meaning $7.36 is the cost for each individual cap.

The f(x)=x²-4 and g(x)=x+3 , (f∘g)(x) = 0 for all the values of x = -1 and -5.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

We have the functions

f(x)=x²-4

and g(x)=x+3

The notation (f∘g)(x) means the same thing as f(g(x)), or to insert g(x) as the x values of f(x).

To find (f∘g)(x) = 0:

(f∘g)(x) = 0

(x+3)²-4 = 0

x²+6x+9-4 = 0

Now we have the quadratic equation:

x²+6x+5 = 0

x²+3x+2x+5 = 0

(x+1)(x+5) = 0

x = -1 and -5

Therefore, (f∘g)(x) = 0 for all the values of x = -1 and -5.

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Answer:

$1890

Step-by-step explanation:

x= couches

y=chair.

x=2y

2x=3y+270

2(2y) or 4y=3y+270

y=270

x=540

2(540)+3(270)=1890.

Hope this helps :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total spending is $1890

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

George bought 2 identical couches and 3 identical chairs.

A couch costs twice as much as a chair.

Let the cost of one couch = 2x

Let the cost of one chair = x

Now,

He spent $270 more on the couches than on the chairs.

This means that,

2(2x) = 270 + 3x

4x = 270 + 3x

Subtract x on both sides.

x = 270

The total spending.

= 4x + 3x

= 4 x 270 + 3 x 270

= 1080 + 810

= $1890

Thus,

The total spending is $1890

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Answer:

0.21 or 21/100

Step-by-step explanation:

the chance of a female student getting a scholarship is 7/10. now that student already has a scholarship so now there are 9 students. the probability of the next female getting a scholarship is 6/9. and then the next is  5/8

7/10 x 6/9 x 5/8 = 21/100 or 0.21

Answer:

Your answer for the above equation is D

Answer:

13

Step-by-step explanation:

The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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Answer:

isosceles acute

Step-by-step explanation:

two same sides so it is isosceles and all angles under 90 so acute

Answer:

isosceles acute

The test statistic for the relative percent differences in perceived life expectancy between men and women is -18.308, and the degrees of freedom for the test statistic are 12.

Let's calculate the test statistic, which is the mean of the relative percent differences for men and women combined:

Men: -28, -24, -21, -22, -15, -13

Women: -22, -20, -17, -9, -10, -11, -6

Combining the data:

-28, -24, -21, -22, -15, -13, -22, -20, -17, -9, -10, -11, -6

The mean of these values is (-28 - 24 - 21 - 22 - 15 - 13 - 22 - 20 - 17 - 9 - 10 - 11 - 6) / 13

= -18.308.

Next, we need to calculate the degrees of freedom for the test statistic. The degrees of freedom can be determined using the formula: df = n - 1, where n is the number of data points.

We have 13 data points, so the degrees of freedom are 13 - 1 = 12.

Therefore, the test statistic is -18.308 and the degrees of freedom are 12.

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The batting average of the player is: 6/14 = 0.429 (rounded to three decimal places). This is his batting average. In general, an average is a value that summarizes a set of data. In the context of baseball, batting average is a measure of the effectiveness of a batter at hitting the ball.

In baseball, the batting average of a player is determined by dividing the total number of hits by the total number of at-bats. A player goes 2 for 5 (2 hits in 5 at-bats) in the first game, 0 for 3 in the second game, and 4 for 6 in the third game.

To calculate the batting average, the total number of hits in the three games needs to be added up along with the total number of at-bats in the three games. The total number of hits of the player is\(2 + 0 + 4 = 6\).The total number of at-bats of the player is  \(2 + 0 + 4 = 6\)

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The school cook has 10^20 ways to plan her schedule without restrictions, and if she wants to cook each meal the same number of times, she has a specific combination of 20 school days for each meal.

(a) To calculate the number of ways for the school cook to plan her schedule of menus for the 20 school days without any restrictions on the number of times she cooks a particular type of meal, we can use the concept of permutations.

Since she knows how to cook ten different meals, she has ten options for each of the 20 school days. Therefore, the total number of ways she can plan her schedule is calculated by finding the product of the number of options for each day:

Number of ways = 10 * 10 * 10 * ... * 10 (20 times)

= 10^20

Hence, there are 10^20 ways for her to plan her schedule of menus for the 20 school days without any restrictions on the number of times she cooks a particular type of meal.

(b) If the school cook wants to cook each meal the same number of times, she needs to distribute the 20 school days equally among the ten different meals.

To calculate the number of ways for her to plan her schedule under this constraint, we can use the concept of combinations. We need to determine the number of ways to select a certain number of school days for each meal from the total of 20 days.

Since she wants to cook each meal the same number of times, she needs to divide the 20 days equally among the ten meals. This means she will assign two days for each meal.

Using the combination formula, the number of ways to select two school days for each meal from the 20 days is:

Number of ways = C(20, 2) * C(18, 2) * C(16, 2) * ... * C(4, 2)

= (20! / (2!(20-2)!)) * (18! / (2!(18-2)!)) * (16! / (2!(16-2)!)) * ... * (4! / (2!(4-2)!))

Simplifying the expression gives us the final result.

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The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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The maximum rate of change of function f at the given point occurs in the direction of the gradient vector.

To find the maximum rate of change of a function f at a given point, we need to compute the gradient of the function and evaluate it at that point. The gradient represents the direction of steepest ascent, and its magnitude indicates the maximum rate of change.

By finding the partial derivatives of f with respect to each variable and evaluating them at the given point, we obtain the components of the gradient vector. The maximum rate of change occurs in the direction of this gradient vector. Without the specific function and point, it is not possible to determine the exact maximum rate of change or its direction.

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Observe the translation for every point.

For Point A

A(2, 4) ⇒ A'(3, 1)

we can observe that the x coordinate is increased by 1 and the y coordinate is decreased by 3

For Point C

C(2, -1) ⇒ C'(3, -4)

Same with point C, the observation is the same as Point A.

So the transformation is (x, y) ⇒ (x + 1, y -3)

For Point B :

B(x, y) ⇒ B'(-5, 1)

x + 1 = -5

x = -5 - 1 = -6

y - 3 = 1

y = 1 + 3 = 4

B will be : B(-6, 4)

For Point D :

D(-6, -1) ⇒ D'(x + 1, y - 3)

-6 + 1 = -5

-1 - 3 = -4

D' will be : D'(-5, -4)

Answer:

combined means to add so you are going to add anything over 1 because it says longer than 1

1 1/4 has 2 marks so you add 1 1/4 + 1 1/4 =

they have like denominators so you can add them together

1 + 1 = 2 and 1/4 + 1/4 = 2/4 which can be reduced to 1/2

so your answer is 2 1/2

The eye color of people on commercial aircraft flights is not a random variable.

What is random variable?

Random variables are variables that can take on different values based on the outcome of a random event or experiment.

However, eye color is a characteristic of individuals and does not vary randomly within a specific context, such as being on a commercial aircraft flight. Eye color is determined by genetic factors and does not change during a flight or as a result of being on a flight.

Eye color is a categorical variable that represents the color of an individual's eyes, such as blue, green, brown, or hazel. While it is not a random variable in the context of commercial aircraft flights, it can still be observed and recorded as a characteristic of the passengers on the flight.

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The correct answer is A. The statement is true. The transpose property states that (A+B)⊤ = A⊤ + B⊤.

The transpose of a matrix is obtained by interchanging its rows with columns. When adding two matrices, the sum is computed by adding the corresponding elements of the matrices.

Let's consider the transpose of (A+B). By definition, the (i, j)-th entry of (A+B)⊤ is equal to the (j, i)-th entry of (A+B). This means that the entry in the i-th row and j-th column of (A+B)⊤ corresponds to the entry in the j-th row and i-th column of (A+B).

Now, let's consider the matrices A⊤ and B⊤. The (i, j)-th entry of A⊤ + B⊤ is obtained by adding the (i, j)-th entries of A⊤ and B⊤. Since A⊤ has its rows and columns interchanged from A, the entry in the i-th row and j-th column of A⊤ corresponds to the entry in the j-th row and i-th column of A. Similarly, the entry in the i-th row and j-th column of B⊤ corresponds to the entry in the j-th row and i-th column of B.

Since the sum of the entries in the i-th row and j-th column of (A+B)⊤ and A⊤ + B⊤ are the same, we can conclude that (A+B)⊤ = A⊤ + B⊤.

Therefore, the statement A⊤ + B⊤ = (A+B)⊤ is true, and the transpose property holds for matrix addition.

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Answer:

42.57 inch

Step-by-step explanation:

Calculate area of square and area of 4 triangles and sum them up to get.

Answer:

mouth is to taste as nose is to

The average rainfall can be determined for the given case as 180mm.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

The average rainfall for first 6 months is 150mm.

And, for the remaining months it is 60mm.

Then, the total rainfall for the whole year is as below,

⇒ 12 × 150 + 60 × 6 = 2160

Now, the average rainfall for the year can be calculated as below,

Total rainfall ÷ Number of months in 1 year

⇒ 2160 ÷ 12 = 180

Hence, the average rainfall of the whole year ​is 180 mm.

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Answer:

\(J' = (4,-3)\)

Step-by-step explanation:

Given

\(J = (3, 4)\)

\(K =(6,4)\)

\(L = (8, 1)\)

\(M = (1,1)\)

\(Rotation = 270CCW\)

Required

Determine the new coordinate of J

From rules of rotation,

When a point (x,y) is rotated 270 degrees CCW;

The new point becomes (y,-x)

Considering point J

\(J = (3, 4)\)

This means

\((x,y) = (3,4)\)

Where \(x = 3\) and \(y = 4\)

Using the above rotation rule of

\((x,y) -> (y,-x)\)

The coordinates of J' becomes

\(J' = (4,-3)\)

Answer:

Step-by-step explanation:

this doesnt make snese\

Answer:

$260

Step-by-step explanation:

20% is equal to decimal form 0.2 or fraction form 1/5

1/5 of 800 = 1/5 * 800 = 160

He earns 100$ everyday even if he made sales worth $0.

100 + 160 = 260

The scale factor of the dilation is 3

Dilation is a sort of transformation in mathematics where a shape or geometric figure's size is altered but its shape and relative proportions are left unaltered.

A scale factor is a multiplier that changes the magnitude of a quantity by being applied to it. The scale factor in the concept of dilatation is the quantity that controls the preimage's size as well as the extent of the shift with regard to a fixed location known as the center of dilation.

Here we have

Triangles STU and XYZ  

From ΔSTU  

ST = 15 in,

TU = 18 in

SU = 21 in  

From triangle XYZ

XY = 5 in

YZ = 6 in

XZ = 7 in

The scale factor of the corresponding sides can be calculated as given below  

The scale factor for side ST to XY is  

                     k = 15 /5 = 3

The scale factor for side TU to YZ is

                     k = 18 /6 = 3

The scale factor for sides SU to XZ is

                     k = 21 /7 = 3  

Therefore,

The scale factor of the dilation is 3

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Answer:

$290

Step-by-step explanation:

if minimum wage is $7.25

7.25×40= 290

The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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