Vanessa cut a piece of ribbon that was 18 inches long in order to make a bow for her flower bouquet. If one foot is equal to 12 inches, about how long was her piece of ribbon in feet?

Answer:

5.68 ft

Step-by-step explanation:

12 inches = 1 feet

\(68 \: inches \: *\: \frac{1 feet}{12 \: inches} =\frac{68}{12} \: feet= 5.6777...\\\\68 \: inches \approx 5.68 \: feet\)

Answer:

$29

Step-by-step explanation:

Since the gifts are matching, the cost of each gift be equal, say $x
Now, Total cash - cash leftover = cost of both gifts
which is, 75 - 17 = 2x
or $58 = 2x
Thus, x would be 58/2 = $29
Or each gift would cost $29

The equation will be changed into = f(x)= 32

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

A statement is not an equation if it has no "equal to" sign.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Hence, The equation will be changed into = f(x)= 32

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Answer:

x=20-21

x= -1

hope helps... :)

Answer:

Blue and Black

Step-by-step explanation:

hi! i think you're asking which of the 2 teams' points added together equal 100. if so, it would be blue and black because 76 + 24 = 100.

broken down: 70 + 20 = 90, 6 + 4 = 10, 90 + 10 = 100 :)

hope i understood this right!

a. Let A be the matrix of unit prices for Supplier A and B be the matrix of unit prices for Supplier B:

A =

[8 9 6 24 4]

[12 12 6 18 4]

B =

[9 12 6 18 4]

[12 7 6 18 4]

Let D be the matrix of department orders:

D =

[6 10 4 3 5]

[7 4 2 2 3]

[4 0 5 1 0]

[0 5 3 4 5]

To get the comparative costs for each department for the products from the two suppliers, we need to multiply D by the element-wise difference between A and B:

(A - B) =

[-1 -3 0 6 0]

[0 5 0 0 0]

Comparative costs = D * (A - B) =

[-8 -27 0 54 0]

[-5 -23 0 0 0]

[-4 0 0 6 0]

[0 -15 0 24 0]

b. To find the cost of Department 3's supplies if they buy from Supplier A, we need to multiply the third row of D by the third row of (A - B):

[4 0 5 1 0] * [0 0 0 6 0] = 0 + 0 + 0 + 6 + 0 = 6

So the cost of Department 3's supplies if they buy from Supplier A is $6.

c. To find the total cost to buy products from each supplier, we need to multiply D by A and B and then sum the elements in each resulting matrix:

Total cost from Supplier A = sum(D * A) = $487

Total cost from Supplier B = sum(D * B) = $480

So the company should make the purchase from Supplier B as it will cost them less.

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Answer:

35/24

Step-by-step explanation:

1/3 + 5/8 + 1/2

8/24 + 15/24 + 12/24

Hola!

Primero, debes asegurarte de que todas las funciones compartan el mismo denominador.

4(1/2)= 4/8

1/3 + 5/8 + 4/8

1/3 + 9/8

Ahora necesitamos encontrar un denominador común de 3 y 8.

El mínimo común múltiplo de 3 y 8 es 24.

8(1/3)= 8/24

3(9/8)= 27/24

8/24 + 27/24= 35/24

Entonces tu respuesta es 35/24!!

Lo siento si mi español no es bueno.

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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By definition, direct variation takes the following form:

y=kx

Where k is the proportionality constant.

You can find k given the information in the problem:

7=3k

k=3/7

You can now find y when x=7 as follows:

y=(7*3)

Values can be substituted. Then:

y=(7*7)/3

y=49/3

If y varies directly from x, then the value of y = 49/3 when x = 7.

If y varies directly from x, we can write its relationship in the form of the equation below :

y = m*x

Where m is the slope of the line on the graph.

From the given data:

y=7

x=3,

We can substitute these values in the above equation and find m :

7 = m*3

m = 7/3

So, the equation can also be written as follow:

y = 7/3 x

Finding y when x=7, then substituting the x value in the above equation we get:

y = (7/3)*(7)

y = 49/3

Therefore the value of the y = 49/3.

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Answer:

8

Step-by-step explanation:

18-12

12-X

X=12*12/18

X=8mm

the worker's total biweekly earnings would be $1277.55.

To calculate the worker's total biweekly earnings, we need to consider the regular pay for the hours worked up to 40 hours per week, as well as any overtime pay for the additional hours worked.

Let's break down the calculation:

Regular pay for the first week:

Regular workweek: 40 hours

Hours worked in the first week: 47 hours

Overtime hours: 47 - 40 = 7 hours

Regular pay for the first week: 40 hours * $13.66/hour = $546.40

Overtime pay for the first week: 7 hours * $13.66/hour * 1.5 = $143.71

Total earnings for the first week: $546.40 + $143.71 = $690.11

Regular pay for the second week:

Regular workweek: 40 hours

Hours worked in the second week: 42 hours

Overtime hours: 42 - 40 = 2 hours

Regular pay for the second week: 40 hours * $13.66/hour = $546.40

Overtime pay for the second week: 2 hours * $13.66/hour * 1.5 = $41.04

Total earnings for the second week: $546.40 + $41.04 = $587.44

Total biweekly earnings: $690.11 + $587.44 = $1277.55

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Answer:

28 ft of fence

Step-by-step explanation:

Area of square  = 196 ft^2

Area of square = Length of one side ^2

Each side of Square = sqrt 196

Each side = 14 ft

2 sides of fence = 2 x 14

= 28 ft

Answer:

1) 50/100 - 50%

2) 70/100 - 70%

3) 60/100 - 60%

4) 68/100 - 68%

5) 38/100 - 38%

6) 0.05/100 - 5%

Clearing the equation with fractions can indeed make solving the equation easier. To do this, you'll need to multiply both sides of the equation by the least common denominator (LCD). Let me give you a couple of examples:

Example 1:
Let's say we have the equation: (2/3)x - 1/4 = 1/2

To clear the fractions, we need to find the LCD, which is 12 in this case (since it's the smallest number that both 3 and 4 divide into evenly).

Now, we multiply both sides of the equation by 12:
12 * (2/3)x - 12 * (1/4) = 12 * (1/2)

This simplifies to:
8x - 3 = 6

From here, we can solve for x by isolating the variable:
8x = 6 + 3
8x = 9
x = 9/8

Example 2:
Let's take another equation: 3/5x + 1/2 = 2/3

The LCD in this case is 30 (smallest number divisible by both 5 and 2).

Multiplying both sides by 30, we get:
30 * (3/5)x + 30 * (1/2) = 30 * (2/3)

Simplifying further:
18x + 15 = 20

To solve for x, we isolate the variable:
18x = 20 - 15
18x = 5
x = 5/18

Remember, clearing the equation with fractions by multiplying both sides by the LCD helps eliminate the fractions and makes solving the equation more straightforward.

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Answer:

B. 1 and 10

Step-by-step explanation:

Answer:

1/4

2/8

.25

1:4

Step-by-step explanation:

Answer: 1/4 (Simplified) and 16/64

Step-by-step explanation:

8/32 can be written as 1/4 (Simplified) and 16/64 (Larger Ratio)

In percentage = 0.25

Answer:

4. 0

5. -2

6. 3/2

Step-by-step explanation:

when you already have the line rise/run method is the easiest!  start at one point and then move either up/down (up is positive down is negative) and record the spaces you move, and then move to the right, record in the spaces you moved.  put it as a fraction, the amt you moved up/down as the numerator and the amt u moved right as the denominator. keep in mind the numbers on the axes! remember to simplify!

look up "slope dude" on yt for help with 0 and undefined

hope this helps!

The perimeter of the new rectangle is given by the expression 2l + 4b - 40 cm.

Given that a rectangle is of length l​ cm and breadth b​ cm.

The length of the rectangle is decreased by 10​ cm, therefore the new length of the rectangle = l - 10 cm.

The breadth is doubled, therefore the new breadth of the rectangle = 2b cm.

The perimeter of the rectangle is given by;

Perimeter = 2(l+b)

Let's substitute l - 10 for the new length and 2b for the new breadth to get;

Perimeter = 2(l-10+2b)

Perimeter = 2(l+2b-20)

Perimeter = 2l+4b-40

Therefore the perimeter of the new rectangle is 2l + 4b - 40.

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Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

X (5, - 1 ) → X' (- 5, - 1 )

Y (1, 4 ) → Y' (- 1, 4 )

Z (- 8, 0 ) → Z' (8, 0 )

For given linear equation x will be 5.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

As given linear equation is

15-x=10

x=15-10

x=5

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The value of x from the given expression is 5 and the property used are addition and division property

Given the equation below

2x - 30 = -20

Add 30 to both sides (Addition property)

2x - 30 + 30 = -20 + 30

2x = -20 + 30

2x = 10

Divide both sides by 2

2x/2 = 10/2

x = 5

Hence the value of x from the given expression is 5 and the property used are addition and division property

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Answer:

\(y = -\frac{2}{3}x + 2\)

Step-by-step explanation:

The question is incomplete, as the graphs or equations of the lines are not given.

However, I will give a general explanation of calculating both intercepts

A linear equation is of the form:

\(y = mx + b\)

Where:

\(b \to\) y intercept

So, the equation

\(y = -\frac{2}{3}x + 2\)

has 2 as its y-intercept

Set y to 0, to calculate the x-intercept

\(0 = -\frac{2}{3}x + 2\)

Collect like terms

\(\frac{2}{3}x = 2\)

Multiply by 3/2

\(x = 2 * \frac{3}{2}\)

\(x = 3\)

So, the equation with the required criteria is:

\(y = -\frac{2}{3}x + 2\)

Answer:

okay so IM not 100 percent sure but I think its 64 = 92

Step-by-step explanation:

the answer is in the above image

Answer: -3

Step-by-step explanation:

Given points (-1,6) and (2,-3), we can use the slope formula y2-y1/x2-x1 to find the slope

6-(-3)/-1-2 = 9/-3 = -3

Slope is -3

In order to ensure that the events are independent of each other Jaxon must keep the marble back in the bag from which he took it out.

Independent events: If the outcome of one event has no dependence on the fate of the other, the two events are said to be independent events. Or, we may say that an event is considered independent if it does not affect the likelihood of another event. Probabilistic independent events mirror actual occurrences. We can use instances like getting good grades on an exam. Comparably, finding your favorite movie on internet is unaffected by taking a cab to the store. An independent event does not depend on another event to occur first, to put it another way. Events that are dependent on previous events, such as when drawing cards from a deck repeatedly results in less cards being available.

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Answer: 7 meters

Step-by-step explanation:

1. Identify the given information: Circumference = 14 pi meters

2. Use the formula for calculating the circumference of a circle: Circumference = 2 pi * radius

3. Rearrange the formula to solve for the radius: Radius = (Circumference) / (2 pi)

4. Substitute the given information into the formula: Radius = (14 pi meters) / (2 pi)

5. Calculate the radius: Radius = 7 meters

Answer:

Hitler Youth, founded in 1926, young children were taught how to use weapons and how to kill. This could have had a psychological effect on their developing minds. They were also taught the ideals and values of Hitler. They were taught that the ideal way to be was cis, straight, Christian, white, blonde, and blue eyes. Some children didn't possess these qualities negatively affecting the way they view themselves and those who did possess these traits dramatically looked down on others. The purpose of the Hitler Youth was to train children to be prepared to give their lives for their country.

Step-by-step explanation:

The correct answer for the first question is D. The data are discrete because the data can take on any value in an interval.

Quiz scores from a college level statistics course are analyzed to determine student progress. This is not a voluntary response sample because the students taking the quiz are required to participate, and their scores are collected for the purpose of analyzing their progress.

For the second question, the data described, which is the number of donations a charity receives each month, is discrete. Discrete data can only take on specific values and cannot be divided into smaller, meaningful intervals. In this case, the number of donations can only be whole numbers, such as 0, 1, 2, and so on. It cannot take on any value in an interval or be represented by fractions or decimals. Therefore, the data is discrete.

It is important to distinguish between discrete and continuous data when analyzing and interpreting data, as different statistical methods and techniques are used for each type. Discrete data is usually counted or measured in whole numbers, while continuous data can take on any value within a given range or interval.

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Point A is located at (4, 4) in the coordinate plane.With these dimensions, we can determine that Point A is located at (4, 4) in the coordinate plane.

To find the coordinates of point A, we need to consider the properties of the shaded region. The shaded region consists of a rectangle and a triangle. We know that the area of the shaded region is 120 square units, and the height of the line segment above the horizontal axis is 4 units.

The rectangle's area is given by its length multiplied by its width. Since the height of the rectangle is 4 units, we can deduce that the length of the rectangle is also 4 units. Therefore, the width of the rectangle can be found by dividing the total area of the shaded region by the length of the rectangle.

Subtracting the width of the rectangle from the total width of the shaded region will give us the base of the triangle. Since the triangle is isosceles, the base length is equal to the height of the rectangle.

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a) The median number of hours per week these Year 12 students spend doing homework is 4 hours.

b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k is 5.75 hours.

The median is a central value or a middle value in a distribution. The number of values in a dataset is an important factor that determines the calculation of the median. It is a value that cuts the data set into two equal parts.

The data set consists of 20 Year 12 students. Sort the data in ascending order (or descending order) and find the middle value. Then, use the formula for calculating the median. 

a)The number of hours per week the Year 12 students spend doing homework is given as:

3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5

Arrange the data in ascending order:

3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5

Now count the data, which gives us 20 numbers. The middle value is the 10th and the 11th numbers, which are both 4.

So the median of the number of hours per week Year 12 students spend doing homework is 4 hours.

b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k can be found using the following formula:

100% - 10% = 90%

So, 90% of students study for k hours or less.

So, the value of k can be found using the median. The median value is 4 hours, and 90% of students are studying for k hours or less. Therefore, 10% of students study for more than k hours.

k = 10% more than the value of the 90th percentile value, which is given by: k = 5.5 + ((8-5.5)/10)*1 = 5.5 + 0.25 = 5.75 hours.

Therefore, 10% of Year 12 students spend more than 5.75 hours per week doing homework.

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