Jackson is building a bookshelf and has a piece of wood that is 5/8 foot long. He needs to cut pieces that are 1/16 foot long. How many pieces can Jackson cut?

Answers

Answer 1

Answer:

6 is the answer

A fraction consists of two parts the top number and the bottom one.

Think of the top number as the count and the bottom as the size indicator. So you have:

countsize indicator −−−−−−−−−−→proper names numeratordenominator

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider the action example of dividing 3 into 6.

We can do this division directly because their size indicators are the same. That is, we have: 61÷31. People do not normally write it this way but it is correct.

To directly divide the counts the size indicator must be the same

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

So we need to see how many of 18 will fit into 34

We can not do this directly in one operation as the size indicators are not the same.

Lets make the size indicators (denominators) the same

Multiply by 1 and you do not change the value but

1 comes in many forms.

[34×1]÷18 → [34×22]÷18

[3×24×2]÷18 → 68÷18

Now that the size indicators (denominators) are the same we can just divide the counts (numerators)

countsize indicator→[68÷18]=6÷1=6

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

I could explain more showing the connection between this and the shortcut method but what I have shown you will do for now.

Answer 2

Answer: 10 pieces

Step-by-step explanation:

So, 5/8 divided by 1/16 is 10.

Therefore Jackson can cut 10 pieces.


Related Questions

Ate some leaves from 3 branches each branch had 20 leaves the koala ate a few leaves from the first branch and then ate as many leaves from the second brand as were left on the dirst branch then is ate 2 leavea feom the third brnch how many leaves in total were left on the 3 branches

Answers

Answer:

Step-by-step explanation:

they aarre 38 left

PLEASEEEE EHELP ILL MARK BRANILIZES

Answers

Answer:

Below

Step-by-step explanation:

First, find the difference. You would do

-19 - (-9) = -10

-9 - 1 = -10 and so on...

The difference is -10

Now you need to find what number will make 11 when added to -10.

11 - (-10) = 21

The equation:

y = -10x + 21

Which set of data could have been used to create the stem-and-leaf plot shown below?




#1. 6.3, 7.9, 9.5, 8.3, 8.1, 9.0, 6.7, 8.6, 9.1, 8.4, 8.1, 6.9, 8.3, 9.2:

#2. 64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

#3. 6.4, 7.9, 9.5, 8.3, 8.1, 9.0, 6.7, 8.6, 9.1, 8.4, 8.1, 6.9, 8.3, 9.2

#4. 63, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

Answers

Answer:

#2 64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

Step-by-step explanation:

A stem-and-leaf plot is a detailed graphical presentation of quantitative data on special kind of table that promotes visualizing the individual numbers in the data with the number at the stem being the first digits of the numbers in the data set while the leaf represent the last digit of each number in the data set

Following the above rule, the data in the given stem-and-leaf plot are;

64, 67, 69, 79, 81, 81, 83, 83, 84, 86, 90, 91, 92, 95

Therefore, the set of data that could have been used to create the stem-and-leaf plot is the data set that has all the numbers in the given stem-and-leaf plot which is the data set;

64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92.

SOMEONE PLEASE HELP!!!! I REALLY NEED HELP! ALSO PLEASE EXPLAIN IT NOT JUST THE ANSWER!! THANK YOU

Question: If 2cm represents 75 miles on a scale drawing. How long would a line segment be that represents 50 miles?

Answers

Answer:

1.33cm

Step-by-step explanation:

if 2cm is representing 75 miles, that means that .66 (repeating) is representative of 25 miles. This is because .66 (repeating) times 3 is equal to 2, and 25 times 3 is equal to 75. The reason 1.33cm would be equal to 50 miles is because if 25 miles is equal to .66, and 50/25 = 2, then you would have 2x.66 (repeating), to get 1.33.

someone help me plzz

Answers

Answer: y=5x+3
Step by step explanation:
Perpendicular meaning that the product of the slope/gradient is -1 hence ...
-1/5 * x = -1
x = -1/-1/5
x = 5
The equation perpendicular to y=-1/5x-3 is y=5x-c
Now it contains the points (1,2)
x variable is 1 and y variable is 2 plug them into the line equation
2=5(1)-c
2=5-c
2-5=-c
-3=-c divide by -1
3=c
Hence the perpendicular equation is y=5x+3
Hopefully it’s correct :)

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Answers

Answer:

2x[tex]\sqrt{15}[/tex]

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = [tex]\sqrt{4}[/tex]·[tex]\sqrt{15}[/tex] · [tex]\sqrt{x^2}[/tex]

This can be simplified to be 2x[tex]\sqrt{15}[/tex]

So far Monica has read 5/6 of book she has read the same number of pages each day for 5 days. What fraction of the book does Monica read each other ?

Answers

Answer:

Each day she has read 1/6 of the book.

Step-by-step explanation:

Monica has read 5/6 of book .

Each day she read the same number of pages  for 5 days

Each day she read 5/6/5= 5/6*5= 1/6

Each day she has read 1/6 of the book.

So that in 5 days it makes

1/6+1/6+1/6+1/6+1/6= 5/6

how to solve and exsplain

Answers

Answer:

w = -36

Step-by-step explanation:

First group the w terms together:  (1/4)w - (1/3)w = 3.  The LCD of the two fractions is 12, so we can rewrite them as

(3/12)w - (4/12)w = 3

Combining the w terms results in (-1/12)w = 3.  Finally, multiply both sides by -12 to isolate w:

w = -36

HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

8760 hours

Step-by-step explanation:

Which expression represents the product or x3+2x-1 and x4 - x3+3?

Answers

Answer:

4th option

Step-by-step explanation:

(x³ + 2x - 1)([tex]x^{4}[/tex] - x³ + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x³([tex]x^{4}[/tex] - x³ + 3) + 2x([tex]x^{4}[/tex] - x³ + 3) - 1 ([tex]x^{4}[/tex] - x³ + 3) ← distribute parenthesis

= [tex]x^{7}[/tex] - [tex]x^{6}[/tex] + 3x³ + 2[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] + 6x - [tex]x^{4}[/tex] + x³ - 3 ← collect like terms

= [tex]x^{7}[/tex] - [tex]x^{6}[/tex] + 2[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 4x³ + 6x - 3

What is the difference? ​

Answers

Answer:

I remember doing this but I forget how I´m sorry

Step-by-step explanation:

A swimming pool is shaped like a square. The distance between each of the pool's corners is 20
feet. A pool cover with dimensions of 15 feet by 30 feet is used to protect the pool during the winter
season. Will the cover protect the entire pool? Explain.

Answers

First find the area of the pool

It mentioned 1 side is 20, so multiply

20*20=400

Now find the area of the pool cover

15*30=450

Yes, because the pool cover's area is bigger than the pool's area

PLS HELP ITS 6TH GRADE AND ILL MARK U AS BRAINLIST AND FOLLOW U

Answers

Answer:

To find the left triangle we make the two right triangles equal 1 square, making the area of that 2x2 or 4

Then we take the uppermost triangle on the left and find the area of that which is 2x2 / 2 or 2. Then we find the right uppermost triangle which is 5x 2 /2 or 5. Then we take the rightmost triangle and find that 4x 4 /2 or 8. Then we add the square in the middle which is 3 x 4 or 12.

Add those area 4 + 2 + 5 + 8 + 12. You should get 31.

Hope that helps somewhat. You need to divide the shape into easily usable shapes like squares and triangles.

What is the function graphed below?

Answers

The function is Y=x+0.5

Consider this equation. Cos(0) = 8/9 if 0 is an angle in quadrant IV, what is the value of tan(0)? I

Answers

Answer:

[tex]\displaystyle \tan(\theta)=-\frac{\sqrt{17}}{8}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\theta)=\frac{8}{9}[/tex]

Where θ is in QIV.

And we want to find the value of tan(θ).

Recall that cosine is the ratio of the adjacent side over the hypotenuse.

Therefore, the opposite side is:

[tex]o=\sqrt{9^2-8^2}=\sqrt{17}[/tex]

Next, in QIV, only cosine is positive: sine and tangent are both negative.

Tangent is the ratio of the opposite side to the adjacent. So:

[tex]\displaystyle \tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute. Tangent is negative in QIV. Hence:

[tex]\displaystyle \tan(\theta)=-\frac{\sqrt{17}}{8}[/tex]

Janice is 7 years older than Tam. Complete the table, and then graph this situation.
Tam

x(years)

2 9

4 ?

6 ?

8 ?

Answers

Answer: these are the numbers, if you put them in desmos you'll get the graph, good luck

Step-by-step explanation:

2 9

4 11

6 13

8 15

in a class of 20 students, how many conversations must be had so that every student talks to every other student in the class?
A) 190
B) 380
C) 760
D) 6840

Answers

The answer is b - 380 students because each student (20 total) has to talk to 19 other students. 20*19= 380

Answer:

[tex]\text{A) }190[/tex]

Step-by-step explanation:

Similar to the handshake problem, if every student must talk with another person, each student will talk to 19 other students. However, a conversation consists of two people, so we must divide the number of ways we can rearrange the two people ([tex]2![/tex]). Therefore, our answer is [tex]\frac{20\cdot 19}{2!}=\boxed{\text{A) }190}[/tex]

Which relationship is true for the triangle based on the Law of Sines?

Answers

Answer:

We know the  angle given refers to the length of the opposite side.

Given angle = 82 and the opposite side = 34 so part of the  relationship is

sin 82 / 34 = sin (  ) / ( )

We are also given one side = 27 and that side is opposite angle at C

so that part of the relationship is   sin C / 27

sin 82 / 34 = sin C / 27

A true relationship based on the Law of Sines was found in the given triangle.

In the given triangle

∠A=82°

Length of side in front of ∠A = 34

Length of side in front of ∠C = 27

What is sine law?

According to sine law, in a triangle, ABC, if the sides in front of ∠A, ∠B, ∠C are a, b, c respectively then

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]

According to the sine law, the sides in front of angle A and angle C are 34 and 27 respectively.

So, [tex]\frac{Sin82}{34} =\frac{SinC}{27}[/tex]

Hence, a true relationship based on the Law of Sines was found in the given triangle.

To get more about sine law visit:

https://brainly.com/question/24175301

will name brainliest

Answers

Answer:

DE ≈ 6.97

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{4}{DE}[/tex] ( multiply both sides by DE )

DE × cos55° = 4 ( divide both sides by cos55° )

DE = [tex]\frac{4}{cos55}[/tex] ≈ 6.97 ( to the nearest hundredth )

Linsay was going to visit her grandmother shop at the mall and then return home the route she took was in the shape of a triangle the distance between each patient visit it was 10 miles what type of triangle is formed by the route she traveled?

Answers

Answer:

an equilateral triangle

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

An equilateral triangle is a triangle with three equal sides. the distance travelled her all equal to 10 miles.

The scatter plot below shows the relationship between games played and tickets won. Which graph has the line of best fit drawn correctly?

Answers

Answer:

B

Step-by-step explanation:

B because it's more close to the line and the dote goes through more of the dots.

Hope this help, LSB

mark brainest

calculate the total surface area and volume a cone of base diameter 14cm and height of 5 cm ( take pi= 22/7​

Answers

Answer:

surface area= 245.18. volume=256.67

Step-by-step explanation:

use the formula

sorry if im wrong

The volume of a cone is 256.6cm and it's total surface area is 277.2cm.

What is surface area of a cone?

Surface area, also known as circular base area and lateral surface area, is the total area that is covered by its two surfaces. The overall area a cone occupies in a three-dimensional space is referred to as its total surface area. It is equivalent to the total of the cone's curved surface and base.

TSA of a cone = πr(l ₊ r)

Solution:

Given:

diameter of a cone= 14cm

radius of a cone = 14/2

                          = 7cm

height of a cone = 5cm

                        l = √(r² ₊ h²)

                        l = √74

                        l = 8.6cm

Now, volume of a cone = 1/3  πr²h

                                     = 1/3 × 22/7 × 49 × 5

                                     = 256.6cm

Total surface area of a cone = πr(l₊r)

                                            = 22/7 × 7(8.6 ₊ 7)

                                            =22/7 × 7(12.6)

                                            = 277.2cm

Hence we get the volume of the cone as 256.6cm and total surface area as 277.2cm.

Learn more about "Mensuration" here-

brainly.com/question/16095729

#SPJ2

Which shows how to solve the equation -4/5 x = 80 for x in one step?
A. -4/5 (5/4)x =80(5/4)
B. -4/5 (-5/4)x = 80 (-5/4)
C. -4/5 (-5)x = 80 (-5)
D. -4/5 (5) x= 80 (5)​

Answers

Answer:

the answer is C

Step-by-step explanation:

because that has to be the answer

Determine the distance of the line segment with endpoints A(2,-4) and B(-4,3) leave answer as radical.

Answers

Step-by-step explanation:

Distance = √[(-6)²+(7)²]

= √[ 36+49]

= √(85)

A new neighborhood initially has 48 houses. The number of houses grows at a rate of 5% per month. Approximately how many houses will be in the neighborhood after 3 months?

Answers

Answer:

55.2

Step-by-step explanation: 5% of 48 is 2.4 and 2.4 x 3 = 7.2, 7.2 + 48 = 55.2

Please answer both questions QUICK IT'S TIME (The ones I put are my guesses)

Answers

Answer:

Both of your answers are correct

The first question:

The multiple-choice highlights the answer, really, it's A.

The second question:

2/20 = 0.1 = 10%

1/20 = 0.05 = 5%

10% + 5% = 15%

Goodjob!

Step-by-step explanation:

The first one is a like u out and the second is d. Great job!!

2. There is a bag containing 10 red, 10 blue, and 10 yellow pleces of paper. Each paper color is numbered from 1 to 10. How would you express the probability that you select a blue piece of paper given that it has a number 10 on it?
A.P(10|blue)
B.P(blue)
C.P(10)
D.P(blue|10)

Answers

The answer I believe is c

PLEASE HELP FAST! WILL GIVE BRAINLIEST.

Answers

Answer:

..

Step-by-step explanation:

right and scalene

Answer:

E, F

Step-by-step explanation:

Because the triangle has a right angle, it is a right triangle. Also, because the triangle doesn't sides of equal length, the triangle is also scalene.

Select all of the statements that are valid based on the survey results.

Answers

Answer:

all except the last one

Step-by-step explanation:

What is the m∠ACB in the circle shown below?

Answers

Question:

What is the m∠ACB in the circle shown below?

Answer:

45

Step-by-step explanation:

So we know it is less than a right angle and it is not a obtuse angle it is less than 90 degrees. 45 is less, 90 is equal(not what we are looking for) , 120, is greater, and 180 is greater which leaves us to our answer 45.

Other Questions
The cost of a car rental is $30 per day plus 20 per mile. You are on a daily budget of $94. Write andsolve an inequality to find the greatest distance you can drive each day while staying within yourbudget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions. simplify m/2 + m/3. plss x^4 -5x^2= 3x^2 +48 solve by factoring! and simplify all irrational and complex solutions. Do you feel that you are only a spec of reality? Or that you one of the few creatures that roam the galaxy? Find the value of y. 108 degrees 40 degrees. x, y, z, w How do you eat Jammie dodgers? When should you set a direct quote apart as a separate block of text? when the quote will appear at the end of a paragraphwhen you want to frame the quote inside your own sentencewhen you want to show that the quote belongs to an expertwhen the quote is more than one sentence long 3 and 3/4 - 2 and 1/5 What does the VSEPR theory predict? A. Valence electrons will pair up with electrons from another atom. B. Valence electron pairs are transferred from a central atom to bonding atoms. C. Valence electron pairs will move as far apart from each other as possible. D. Valence electrons around a nucleus will pair up whenever possible. At a zoo, 20% of the animals are amphibians. If 65 animals are amphibians, how manyanimals are in the zoo?A: 13B: 130C: 260D: 325Step by step explanation please! Need answer as fast as possible 5. Marcus purchased 8.5 pounds of sweet potatoes. If each pound of sweet potatoes sells for $1.20, how much does Marcus owe for sweet potatoes? TWO SENTENCES!!! What is something that you have used today that was designed by an engineer? What parts were designed by an engineer? please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! ] When scientists make __________, they use tools or equipment to measure and obtain data about a question. A) qualitative observations B) conclusions C) quantitative observations In atmospheric chemistry, the following chemical reaction converts SO2, the predominant oxide of sulfur that comes from combustion of S-containing materials, to SO3, which can combine with H2O to make sulfuric acid (and thus contribute to acid rain): a. Write the expression for K for this equilibrium. b. Calculate the value of for this reaction using the values in either the back of your book or the CRC Handbook. c. Calculate the value of K for this equilibrium. d. If 1.00 bar of SO2 and 1.00 bar of O2 are enclosed in a system in the presence of some SO3 liquid, in which direction would the reaction run IT'S A 3 QUESTION ASSIGNMENT. WHICH I NEED HELP WITHAs wavelength decreases, what happens to frequency? 12) The product of three integers x, x + 2, and x 5 is 240? What are the integers?A) 5.9, 7.9, 0.9 B) 7.5, 9.5, 2.5 C) 5, 6, 8 D) 8, 10, 3 Which three of the sentences use slang? What is an allegory? A story meant to be funny A story that can be interpreted to reveal a hidden meaning A story meant to be taken literally A story meant to confuse the reader