The length of the picture is mixed number six and three fourths inches. There should be a length of fraction one half inch of wood on either side of the picture. What is the total length of wood required? a 7 inches b the mixed number seven and three fourths inches c 8 inches d the mixed number eight and one half inches

Answers

Answer 1

Answer:

b)  The mixed number seven and three fourths inches.

Step-by-step explanation:

Given:

Length of picture = 6³/₄ inMargin either side of the picture = ¹/₂ in

To find the total length of the wood, sum the length of the picture and two margins:

[tex]\implies \sf Total\;length=6\frac{3}{4}+\dfrac{1}{2}+\dfrac{1}{2}[/tex]

Two halves equal 1:

[tex]\implies \sf Total\;length= 6\frac{3}{4}+1[/tex]

When adding a mixed number to a whole number, simply add the whole numbers together:

[tex]\implies \sf Total\;length= (6+1)\frac{3}{4}[/tex]

[tex]\implies \sf Total\;length= 7\frac{3}{4}[/tex]

Therefore, the total length of the wood required is:

7³/₄ inches

Related Questions

Write 1.3 days in hours and minutes.

Answers

Key ConceptsConverting between days, hours and minutes

In 1 day, there are 24 hours.

In 1 hour, there are 60 minutes.

Solving the Question

To convert 1.3 days into hours, multiply by 24:

[tex]1.3*24=31.2[/tex]

Therefore, 1.3 days is equivalent to 31.2 hours.

To convert 31.2 hours into minutes, multiply by 60:

[tex]31.2*60=1872[/tex]

Therefore, 31.2 hours is equivalent to 1872 minutes.

Answer

1.3 days

31.2 hours

1872 minutes

The diagram shows a sector of a circle radius 10 cm.
Find the perimeter of the sector, giving your answer correct to 1 decimal place.

Answers

Answer:

P ≈ 43.6 cm

Step-by-step explanation:

the perimeter (P) is the sum of the 2 radii and the arc

arc length = circumference of circle × fraction of circle

                 = 2πr × [tex]\frac{135}{360}[/tex]

                 = 2π × 10 × 0.375

                 = 20π × 0.375

                 ≈ 23.6 cm ( to 1 decimal place )

Then

P = 23.6 + 10 + 10 = 43.6 cm

A ladder is leaning against a building forming a 25-degree angle with the building. If the ladder is 8 feet away from the building, how long is the ladder?

A: About 15 ft.
B: About 7.5 ft.
C: About 9 ft.
D: About 3 ft.

Answers

Answer: About 15 feet.

Step-by-step explanation: To solve this problem, we can use the Pythagorean theorem. The ladder forms the hypotenuse of a right triangle with the building and the ground, with the angle at the building forming the right angle. If the ladder is 8 feet away from the building, then the length of the ladder is the same as the length of the other leg of the triangle.

We can use trigonometry to find the length of this leg. In a right triangle, the tangent of an angle is equal to the length of the opposite side divided by the length of the adjacent side. In this case, the adjacent side is the length of the ladder and the opposite side is 8 feet, so we can write the following equation:

tan(25 degrees) = opposite side / adjacent side

tan(25 degrees) = 8 feet / adjacent side

To find the length of the adjacent side (the ladder), we can divide both sides of the equation by the tangent of 25 degrees:

adjacent side = 8 feet / tan(25 degrees)

According to my calculations, the length of the ladder is about 15 feet, so the correct answer is A: About 15 ft.

b) Since Barrow is looking for a good batter for his team, do you think that the batting average or the
slugging average is more indicative of a good batter? Answer the question and explain your
reasoning in 2-3 sentences.

Answers

Slugging average is more indicative of a good batter rather than batting average.

Define slugging average.

The total number of bases a player accumulates per at-bat is represented by slugging percentage. In contrast to on-base percentage, which takes walks and hit-by-pitch pitches into account, slugging percentage simply considers hits. Slugging average is distinct from batting average in that not every hit is worth the same amount.

Given

Since Barrow is looking for a good batter for his team

In my point of view, Slugging average is more indicative of a good batter.

The slugging percentage is a player's average number of bases per at-bat. Slugging percentage, unlike on-base percentage, solely accounts for hits and excludes walks and hit-by-pitch pitches from its computation. In contrast to batting average, slugging percentage does not reward every hit equally.

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Mariya is solving the quadratic equation by completing the square.

4x2-20x+3=0

4x2-20x=-3

A(x2-5x)=-3

What is the value of A?

Answers

Answer:

A = 4

Step-by-step explanation:

4x2-20x=-3 and A(x2-5x)=-3

Hence:

4x2-20x = A(x2-5x)

4x^2 - 20x = A(x^2 - 5x)

Divide both sides by (x^2 - 5x) to isolate A:

(4x^2 - 20x)/(x^2 - 5x) = (x^2 - 5x) * A/(x^2 - 5x)  

A = (4x^2 - 20x)/(x^2 - 5x)

A = (4x(x - 5)) / (x(x - 5))  ==> factor each polynomial

A = (4x) / (x)   *   (x - 5)/(x - 5)

A = (4x) / (x)   *   1   ==> (x-5)/(x-5) = 1

A = (4x) / (x)

A = 4x/x  ==> simplify

A = 4

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Find the area of the following parallelogram:
3cm,5cm, and 4.5
What is the area of the parallelogram?
Please show your work.

Answers

Step-by-step explanation:

Area of parallelogram = base • height

Where,

Base = 4.5 cm

Height = 5 cm.

Area = 4.5 cm • 3 cm

Area = 13.5 cm²

Have a nice day :)

Suppose a sale price is $18 and the discount is 25%. Explain how to find the regular price.

Answers

Answer:

Step-by-step explanation:

x - 0.25x = 18

3/4x = 18

x = 24

In the problem on the previou page uppoe alex wanted to know how many week it would take him to work 51 hour alex work 3 hour a day and 4 day a week

Answers

Since you cannot have a partial week, it would take Alex at least 5 weeks to work 51 hours at this rate.

What is time and work?

Time and work is a mathematical concept that includes determining the amount of time necessary to do a specific quantity of labor. This idea is frequently applied in daily life and a number of industries, including manufacturing, construction, and project management.

Problems with time and work include two factors: the quantity of employees and the amount of time needed to finish a task. The quantity of effort is fixed and unchanging. The formula Work = Time * Number of Workers must be applied in order to overcome these issues.

For instance, if a task requires three people to finish it in six hours, the total quantity of work completed is six hours multiplied by three, or 18 hours.

How to solve?

If Alex works 3 hours a day and 4 days a week, he works a total of 3 hours * 4 days = 12 hours per week.

To work 51 hours, it would take Alex 51 hours / 12 hours/week = 4.25 weeks.

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Use the graph of f(x) to find the following values.

a)f(-4)
b)f(-5)
c)f(3)
d)f(4)

Answers

a) [tex]f(-4)[/tex] is equal to the output when [tex]x=-4[/tex]. Therefore, [tex]f(-4)=-7[/tex].

b) [tex]f(-3)=-11[/tex]

c) [tex]f(3)=-3[/tex]

d) [tex]f(4)=-1[/tex]

( x + 4 ) ( 2 x + 9 )

Answers

Simplifying the algebraic expression [tex]( x + 4 ) ( 2 x + 9 )[/tex] will give an answer [tex]2x^{2}+17x+36[/tex].

The technique of writing an algebraic expression in the most effective and compact form without altering the original expression's value is known as simplification.

The procedure involves gathering related phrases, which calls for adding or removing terms from an expression.

According to the distributive property of algebraic expressions, each term in an expression's sum or difference must be multiplied by a number outside of the parenthesis. A number is used as the value outside of the parenthesis with the total or difference.

Here the algebraic expression is:

[tex]( x + 4 ) ( 2 x + 9 )[/tex]

Use the distributive property to simplify the expression,

⇒ [tex]( x + 4 ) ( 2 x + 9 )[/tex]

⇒ [tex](x)(2x)+(x)(9)+(4)(2x)+(4)(9)[/tex]

⇒ [tex]2x^{2} +9x+8x+36[/tex]

⇒ [tex]2x^{2} +17x+36[/tex]

Therefore, the solution will be [tex]2x^{2} +17x+36[/tex] when the algebraic expression is simplified.

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Mr. Cruz drove 70 miles in March. He drove 7 times as many miles in March as he did in January. He drove 4 times as many miles in February as he did in January. How many miles did Mr. Cruz drive in February?

Answers

The number of miles that Mr.Cruz drive in February is 40  miles .

In the question ,

it is given that ,

Mr.Cruz drove 70 miles in March .

let the number of miles that Mr.Cruz drive in January is "x" miles .

He drive 4 times as many miles in February as he did in January ,

So , the number of miles driven in February is = 4x .

he also drive 7 times as many miles in march as he did in January .

So , the number of miles driven in March is = 7x

According to the question ,

7x = 70

x = 10

So , miles driven in February is = 4(10)

= 40 miles .

Therefore , the number of miles driven is February is 40 miles .

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A store has apples on sale for $21.00 for 6 pounds.if an apple approximately 5 ounces,how many apples can you buy for $168.00?
Part 1 The cost per pound of the apples on sale is ——-
Part 2 you can buy————pounds of apples for $168.00
Part 3 since 1 pound =16 ounces,so there are about ____apples in each pound
Part 4 you can buy approximately——— apples for $168.00
Help pls

Answers

Answer:

A store has apples on sale for $21.00 for 6 pounds.if an apple approximately 5 ounces,how many apples can you buy for $168.00?  

you can buy approximately 256 apples

Step-by-step explanation:

Part 1 The cost per pound of the apples on sale is —3.50—-

Part 2 you can buy——48——pounds of apples for $168.00

Part 3 since 1 pound =16 ounces,so there are about __3__apples in each pound

Part 4 you can buy approximately—256— apples for $168.00

ayúdenme por favor...

Answers

Answer:

konsi bhasha h bhai ye?

Step-by-step explanation:

i dont understand

Sophia scored 92% on a math test. If the test had 50 questions, how many did she get correct?

Answers

Answer:46 answers :)

Step-by-step explanation:

46

explanation:
92% of 50 is 46, therefore she got 46 correct!:)

An item is regularly priced at $30 . it is on sale for 70% off the regular price. how much (in dollars) is discounted from the regular price?

Answers

The amount in dollars discounted from the regular price is $21

Calculating discounted amount

From the question, we are to determine the amount that is discounted from the regular price

From the given information,

The regular price is $30

and

The item is on sale for 70% off the regular price.

Thus,

The amount discounted from the regular price = 70% of $30

The amount discounted from the regular price = 70% × $30

The amount discounted from the regular price = 0.7 × $30

The amount discounted from the regular price = $21

Hence, the amount is $21

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How do I graph the line that has a slope of 1/10 and includes the point (0, 5)???

Answers

Answer:

Step-by-step explanation:

A 10% slope is one that rises by 1 unit for every 10 units travelled horizontally (10 %). For example, a roof with a 10% slope that is 20 m across will be 2 m high. This is the same as a gradient of 1/10, and an angle of 5.71° is formed between the line and the x-axis.

Perimeter: ___meters

Answers

Answer:

300

Step-by-step explanation:

the way to find perimeter is to add the numbers that are on the outside of the shape.

Answer: 300m

Step-by-step explanation: To find the Perimeter of the triangle or any shape, you need to add the length of the outside!

In this case, it is 104, 58, 138. Add all of them together you get 300m

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find the minimum sample size needed if we wish to be 92% confiodent and error to be within 5 years of the true mean age

Answers

To find the minimum sample size needed to estimate the mean of a population with a certain level of confidence and margin of error, you can use the following formula: n = (Z^2 * p * (1 - p)) / e^2

What is mean?

The mean, also known as the arithmetic average, is a measure of central tendency that represents the average value of a set of data. To calculate the mean of a set of numbers, you add up all the numbers in the set and then divide the sum by the number of numbers in the set.

n is the minimum sample size
Z is the z-score corresponding to the desired level of confidence (e.g. for a confidence level of 92%, the z-score would be approximately 1.75)
p is the estimated proportion of the population that has the characteristic of interest (e.g. if you are trying to estimate the mean age of a population and you believe that about 50% of the population is within 5 years of the true mean age, then p would be 0.5)

e is the margin of error (e.g. if you want the error to be within 5 years of the true mean age, then e would be 5)

Plugging in the values given in the problem, we get:

n = (1.75^2 * 0.5 * (1 - 0.5)) / 5^2

= (3.0625 * 0.5 * 0.5) / 25

= 0.122 / 25

= 0.0049

Since sample size must be a whole number, we would need to round up to the nearest integer, which would be a minimum of 1 sample. However, it is generally recommended to use a larger sample size to increase the precision and reliability of the estimate.

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If CD represents 100%, what is the length of a line segment that is 25%? Explain.

Answers

Answer: (1/4)CD

Step-by-step explanation:

CD is 100% when the line segment is 25% of it or 1/4 of it! Then the line segment is (1/4)CD.

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Given: Triangle ABC i iocele with A a the vertex angle and egment AD biect egment BC, Prove: Segment AD biect angle BAC

Answers

Proof that the bisector of an isosceles triangle also bisects the angle.

Is bisector a midpoint?

A line segment's midpoint is the point on the segment where it divides into two congruent parts. a right-angled segment bisector that crosses the segment. A line (or portion of a line) that cuts through the middle is known as a segment bisector.

Is the bisector always 90?

When two lines cross at right angles or 90 degrees, they are said to be perpendicular to one another. A line that splits a line into two equally sized halves is known as a bisector. A line segment's perpendicular bisector implies that it intersects the segment at a 90-degree angle and splits it into two equal halves.

Let ABC be the isosceles triangle with AB=AC, B=C, and BAD=CAD as the vertical angle bisectors.

As a result, the triangles satisfy the ASA criterion.

⟹BD=DC

Thus, the base is divided by the vertical angel's bisector.

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The drama club sold 800 tickets to their spring play. Floor seats cost 110 each and balcony seats cost 8$ each. Tickets sales were 7740. How many floor seat tickets were sold

Answers

There were 14-floor seat tickets sold to their spring play.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Let's assume x be floor seat tickets and y be balcony seats

As per the given formation, the equation would be as:

x + y = 800  ....(i)

110x + 8y = 7740 ...(ii)

Multiply by 8 into equation (i), and subtract into equation (ii),

110x + 8y - 8x - 8y = 7740 - 6400

102x = 1340

x = 1340/102

x = 13.7 ≈ 14

Therefore, there were 14-floor seat tickets sold.

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the gold prospector panned for gold 1000 times and actually found some 53 of those times. what is the probability that he will find the gold the next time he pans for gold?

Answers

What is probability?

Probability is the possibility of happening an event.

Given that, the gold prospector panned for gold 1000 times and actually found 53 times of those times.

The probability that he will find the gold next time is:

53/1000

= 0.053

Hence, the probability that he will find the gold the next time he pans for gold is 0.053.

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Choose the graph of the linear equation.
y = −2x − 8

Answers

The equation of line is y = -2x - 8 and the slope is -2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = -2x - 8   be equation (1)

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

The slope of the line m = -2

The y intercept of the line b = -8

Now , the graph of the linear equation is given below

Hence , the equation of line is y = -2x - 8

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EXPERT NEEDED!! please help me with these! much appreciated

Answers

The value of a is -4 from the given system of linear equations.

The system of given equations are ax+12y=-6 and 2x-6y=4.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here, ax+12y=-6 -------(I) and 2x-6y=4 -------(II)

Given, no solution for the system

So, (a1/a2) = (b1/b2) ≠ (c1/c2)

Now, a/2 = 12/(-6)

a=-4

Hence, the value of a is -4 from the given system of linear equations.

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24. The following fractions compare the number of free throws made to the number taken by
basketball players:
Smith:
13
19
Haller:
12/20
Dennis:
14/17
Ballard:
17/22

Rank the free throw accuracy of these players from lowest to highest. Justify.

Answers

The free throw accuracy of these players can be ranked from lowest to highest as Haller, Smith, Ballard, and Dennis.

What is a fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, or three-quarters.

To rank the free throw accuracy of these players from lowest to highest, we need to compare the fraction of free throws made to the total number of free throws taken by each player.

The fraction of free throws made to the total number of free throws taken is called the free throw percentage.

The free throw percentage for each player can be calculated by dividing the number of free throws made by the number of free throws taken and expressing the result as a decimal.

For example, the free throw percentage for Smith can be calculated as follows:

Free throw percentage = 13/19 = 0.68

We can use this same method to calculate the free throw percentage for the other players:

Haller: Free throw percentage = 12/20 = 0.6

Dennis: Free throw percentage = 14/17 = 0.82

Ballard: Free throw percentage = 17/22 = 0.77

Based on these calculations, the free throw accuracy of these players can be ranked from lowest to highest as follows:

Haller: Free throw percentage = 0.6

Smith: Free throw percentage = 0.68

Ballard: Free throw percentage = 0.77

Dennis: Free throw percentage = 0.82

Hence, the free throw accuracy of these players can be ranked from lowest to highest as Haller, Smith, Ballard, and Dennis.

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A basketball coach recorded how many shots each of the 30 players at tryouts made in a set of 6
attempts. Here are the results:

Answers

The median would lie in the mean of the 15th and the 16th position.

What is median?

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

The mean (average), mode, and standard deviation are some other descriptive statistics that are frequently contrasted with the median.

Given, the total number of basketball players present (n) = 30

Total number of attempts made = 6

Since there are even number of players present, 30, the location of the median would be n/2 and n/2 + 1 positions.

For 30, the positions would be

= 30/2 and 30/2 + 1

= 15 and 16th position

Hence, the median would lie in the mean of the 15th and the 16th position.

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RST and WXY are similar triangles. RS = 2, WX = 5, ST = x + 1, and XY = 3x-1
Solve for x. HELP PLEASE ANYONE

Answers

Answer: x=7

Step-by-step explanation:

2/5=x+1/3x-1

find the LCD

15x-5

multiply 2/5 by 3x-1

multiply x+1/3x-1 by 5

6x-2=5x+5

x=7

un camion lleva 2 646 kilos de naranja en 147 cajas. ¿ cuantos kilos pesa cada caja?
por faaaa ayuda....

Answers

18 Kilos

Step-by-step explanation:

2646 /147 = 18

Shelly wants to tell her friend how large of a sale a
local store is having, but she forgets the discount
amount. All Shelly knows is that she bought a
shirt for $6 that normally costs $10. Shelly can
tell her friend that the store has decreased prices
by how much?

Answers

Shelly can tell her friend that the store has decreased prices by 60%!’

Draw the graph for y=2x-3 for -2<=x<=3

Answers

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.

What are coordinates in a graph?

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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