Joey has two pieces of wood. One is 120 inches and the other one is 210 inches long. He wants to cut both the pieces into smaller parts so that all these parts are of the same length.
i) If he wants the smallest pieces to be as long as possible without having any leftover, how long should each piece be?
Ans:
ii) How many smaller pieces of wood will he have in total?
Ans:

Answers

Answer 1

Answer:

A. 30 inches

B. 11 pieces

Step-by-step explanation:

Piece 1 = 120 inches

Piece 2 = 210 inches

1. He wants the smallest pieces to be as long as possible without having any leftover, how long should each piece be?

Find the highest common factor of 120 and 210

120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.

210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.

The highest common factor of 120 and 210 = 30

Therefore, the smallest and longest pieces should be cut into 30 inches each

B. Total Smaller pieces of wood = piece 1 / 30 + piece 2 / 30

= 120/30 + 210/30

= 4 + 7

= 11 pieces


Related Questions

please help me with the last question please

Answers

The answer is 12/4 because the ratio is 4/5 and we would multiply 4 to which is 12

Is this helped please award me brainliest because I only need one more for the next rank

Which verbal expression is represented by 1/2 (n-3)
(A) One-half n decreased by 3
(B)One-half n subtracted from 3
(C)The difference of one-half n and 3
(D)One-half the difference of n and 3

Answers

Answer: (D)One-half the difference of n and 3

Step-by-step explanation:

The correct verbal expression for the function f(n) = 1/2 (n-3) is →

One-half the difference of n and 3.

What is a verbal expression in mathematics?

A mathematical expression when written using verbal statements is known as the verbal expression of that mathematical expression.

Given is the following mathematical expression -

f(n) = 1/2 (n-3)

The given expression is -

f(n) = 1/2 (n-3)

Now, Assume A = (n - 3) represents the the difference of n and 3.

1/2 (A) represents its one half.

Therefore, the correct verbal expression for the function f(n) = 1/2 (n-3) is → One-half the difference of n and 3.

To solve more questions on Verbal Expressions, visit the link below-

https://brainly.com/question/2510639

#SPJ2

Please please help mee ://

Answers

Answer:

The range is -7 ≤ y ≤ 8

Step-by-step explanation:

The range is the full measurement of a graph on the y-axis.

I know this can be confusing at times as I had struggles with this in the past

Hopefully, this helps!

6
Translate into a mathematical
expression:
?/1
Twice a number, increased by the
sum of the same number and five.
I

Answers

Answer:

2x + (x + 2)

Step-by-step explanation:

Let the number = x

"twice a number" means 2x

"increased by the sum of the same number and five" means to add x + 5, so the expression is

2x + (x + 2)

7. On Monday, Jeremiah had a debt of $92.80 after buying a pair of Jordan's. Jeremiah was
paid $126.42 from his job at Home Depot on Tuesday. After depositing his check from
Home Depot, what is the amount, in dollars, in Jeremiah's bank account?
A $33.62
B. $219.22
C. $174.42
D. $42.22

Answers

Answer:

A $33.62

Step-by-step explanation:

To figure this out you have to take -92.80 and add 126.42 to get $33.62. Have a great day and LEAVE ME ALONE PLZ! <3

Answer:

-92.80+126.42=33.62

Step-by-step explanation

Since you owe $92.80 it would be a negative. So it would be like this.

126.42-92.80= 33.62

Or

-92.80+126.42=33.62

Hope this Helps.  

It rained all day on Father's Day and the temperature dropped ten and seven tenth degrees. The next day the rain stopped and the temperature rose twelve and six tenths degrees. If the temperature at the beginning of Father's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Father's Day?

Answers

sixty seven and seven tenths

method: take twelve and six tenths away from sixty five and eight tenths to get fifty five and a tenth then add twelve and six tenths to fifty five and a tenth

I need answer to this question.
Explain why triangle ABC is congruent to triangle FED.

Answers

Answer:

The two angles of ΔABC are equal to the two respective angles of ΔFED. Also, the sum of all interior angles of a triangle is 180º. Therefore, third angle of both triangles will also be equal in measure.

Both triangles have right angles. Also the the two dashes on BC and DE indicate that those 2 sides of the triangles are the same. Angle A and angle F are also the same. This is what makes the triangles congruent

Determine which problem matches the given inequality.
c<5 1/2
1
O There are 5 fewer cups of
2.
sugar than flour.
5.1
5 1 /
O There are 5
more cups of sugar than flour.
O There are less than 5
2
cups of sugar
O There are more than 5
5.
1
2.
cups of
sugar

Answers

Answer:

There are less than 5 1/2 cups of sugar.

Step-by-step explanation:

E D G E N U I T Y

Have a good day! (◕ヮ◕ヽ)

Answer:

c

Step-by-step explanation:

Please help me and I’ll give you brainiest!!!!!!!!!



Have a wonderful day!!:))))))!!!!!!

Answers

Y33x is your answer and

If snow falls at a rate of 5 inches every 3 hours, what is the unit rate?

Answers

Answer:

5:3

Step-by-step explanation:

Two supporting reasons are missing from the proof. Complete the proof by dragging and dropping the appropriate reasons into each
of the empty boxes
Given
m || n
m∠1 = 120°
Prove m∠6 = 60°

m || n
m∠1 = 120°-given

∠5≈∠1- ?

m∠5= m∠1-angle congruence postulate

m∠5= 120°-substitution property of equality

m∠6+m∠5= 180°- ?

m∠6+120°= 180°-substitution property of equality

m∠6= 60°-subtraction property of equality



Answers

Answer:

∠5≈∠1 - corresponding angles

m∠6+m∠5=180° - supplementary angles

i hope this helps!

The LMC of 4 and 7 is

Answers

Answer:

28

Step-by-step explanation:

4: 8,12,16,20,24,28

7:14,21,28

28 is the answer

What is the slope of the line that passes through the pair of points (2,3,(-2,-3)

Answers

Answer:

slope of line is = -3/2

Evaluate the expression 6 + 8f for f = 4.*​

Answers

Answer:

38

Step-by-step explanation:

8*4=32

add 6

Hope this helps!


X=

Y=

Z=

Pls help >^>

Answers

Step-by-step explanation:

X = 50+45 = 95 exterior angle

y =95 + 52 = 147 exterior angle

Z = 180 Straight angle

Please help me and I’ll give you brainiest!!!!!!!!!



Have a wonderful day!!:)))

Answers

The answer would be

y=-1/2x +4

What is the image point of (0, 1) after a translation right 5 units and up 5 units? You

Answers

Answer:

(5,6)

Step-by-step explanation:

Add 5 to each side since it is going in both positive directions (up and down)

(5,6)

Answer: (5, 6)
Explanation: I just took the test, I’m 100% sure.

If ABC = XYZ, and AB = 8, BC = 10, AC = 15,
and XZ = 3x - 6, then x = ?

Answers

Answer:

x=13 I think pretty sure

Simplify the expression: 4(x+3)+3(5−x)

x + 27

x +8

2x + 15

19x + 11

Answers

Answer:

A. x + 27

Step-by-step explanation:

4(x+3)+3(5−x)

4x + 12 + 15 - 3x

x + 27

4(x + 3) + 3(5 - x)

First multiply each of the brackets by the number on the outside:

4(x + 3) = 4x + 12

3(5 - x) = 15 - 3x

Then add these into the expression:

4x + 12 + 15 - 3x

Collect the like terms (the things that have the same letters):

4x - 3x = 1x (but remember we don’t write the 1, so it’d just be x)

12 + 15 = 27

Therefore:

x + 27

Your answer would be:

A) x + 27

Point A is located in which quadrant?

Answers

Answer is quadrent 1 it is this but I don't know what it is in roman numerals

Please help me I dont know which number goes first like 0,-5 or is it -5,0

Answers

Answer:

-5,0

Step-by-step explanation:

Answer:

-5,0

Step-by-step explanation:

I want to find the coordinates of each point of the face

Answers

Answer:

A) (2,5)

B) (4,4)

C) (3,2)

D) (3,-1)

E) (1,-3)

F) (-1,-3)

G) (-3,-1)

H) (-3,2)

I) (-4,4)

J) (-2,5)

K) (-1,4)

L (1,4)

To prove angle ABC is isosceles?

Answers

Step-by-step explanation:

m < (CAB ) = m < ( c B A ).....


What is the slope of a line perpendicular to the line whose equation is 12x-9y=135

Answers

Answer:

[tex]\frac{-9}{12}[/tex]

Step-by-step explanation:

First, we need to isolate y.

1. Subtract 12x from both sides.

-9y=-12x+135

2. Divide by -9 in order to isolate y.

[tex]y=\frac{12}{9} x-15[/tex]

3. Understand that perpendicular equations' slopes are opposite and reciprocal to the original equation. The slope of the original equation is [tex]\frac{12}{9}[/tex], so the reciprocal and opposite (flip and change the sign) slope would be [tex]\frac{-9}{12}[/tex].

I have a question please help ;w;

Answers

Answer:

4

Step-by-step explanation:

Which of the following is a Pythagorean triple?
A. (5, 12, 15)
B. (8, 9, 10)
C (8, 15, 17)
D. (3, 3, 6)

Answers

Answer: C
Explanation: 8^2 + 15^2 = 17^2
64+225=289

Answers please people

Answers

Answer:

she needs 5 times more of each item because

5(6)=30

Step-by-step explanation:

135 g(5)= 675 g flower

1tsp(5)= 5 tsp baking powder

2(5)= 10 tablespoons sugar

130(5)= 650 ml milk

1(5)= 5 eggs

2(5)= 10 tablespoons oil

Use the elimination method to solve the system of equations. Choose the correct ordered pair.

-x + y = -2
2x - 3y = 4

A. (3, 1)
B. (4, 2)
C. (2, 0)
D. (5, 3)

Answers

Answer:

C. (2, 0)

Step-by-step explanation:

-x + y = -2

2x - 3y = 4

Multiply both sides of the first equation by 2.

Write the second equation below it and add them.

        -2x + 2y = -4

(+)       2x - 3y = 4

----------------------------

                  -y = 0

y = 0

Start again with the original equations.

Multiply both sides of the first equation by 3. Write the second original equation below it and add them.

      -3x + 3y = -6

(+)     2x - 3y = 4

-------------------------

          -x      = -2

x = 2

Answer: C. (2, 0)

What is the slope of the line which contains the ordered pairs (2, 1) and (-3, 5)?
a. -5/4
b. -4
c. -1/4
d. -4/5

Answers

Answer:

d. -4/5

Step-by-step explanation:

When using the equation m = y2 - y1 / x2 - x1, we get m = 5-1 / -3-2.

Simplified: m = 4/-5.

The negative can be placed on the numerator or denominator, it doesn't make a difference.

C is the answer to the question

Lauren bought 13.25 yards of yarn for $6.99. How much would it cost if she bought 24
yards of yarn?

Answers

As we know that 13.25 yards = 6.99

We can use our knowledge to figure out the price of one yard by dividing both sides by 13.25:

13.25yards = 6.99

1yard = 699/1325

Then multiply both sides by 24 to get the price for 24 yards:

24yards = 12.6611321

As we are dealing with money we will only take the first two decimal points and NOT round:

24 yards would cost $12.66
Other Questions
A student claims that electronegativity is not related to theconcept of polarity. Use water as an example to providereasoning to refute the student's claim.PLEASE HELP! PLEASE PLEASE HELP!!!! Simplify the expression: 4(x+3)+3(5x)x + 27x +82x + 15 19x + 11 Suppose that the halflife of a substance is 250 years . If there were ir 100 the substance , (a) give an exponential model for the situation, and (b) how much wil years? can anyone answer this please:( Name the following compounds PLZ HELP ME 4 MIN!!Pedigrees and karyotypes provide the means for individuals to identify their risks of genetic disorders. What can be observed on a karyotype but not on a pedigree?family carriers of a genetic disorderfamily history of a genetic disorderrisk of a genetic disorder in offspringa visual image of a chromosomal defect To prove angle ABC is isosceles? explain organized crime in your own words please help me with the last question please Lauren bought 13.25 yards of yarn for $6.99. How much would it cost if she bought 24yards of yarn? Write an argumentative essay about whether it is better to tell the truth, even if it will hurt someones feelings, or to tell a lie to keep from hurting someone.Based on the prompt, which claim is the strongest?One time, I lied to my best friend about going out with another friend because I thought she would be jealous.Why do people feel like they have to lie just because they are afraid that people will get mad at them for telling the truth?It is hard to tell whether someone is telling the truth or lying to you just to protect your feelings.Telling the truth is always the best option, even if someone will be hurt as a consequence. Record the data from each location below. Location Name Boundary Type (C=Convergent, D=Divergent, or T=Transform) Year Observed (5, 10, or 20 million years) Geologic Events Observed (earthquakes, faults, ocean formation, mountains, volcanoes, island chains, seafloor spreading) Location One Himalayas 5 Event 1- 20 Event 2- Location Two East Africa 5 Event 1- 10 Event 2- 20 Event 3- Location Three San Andreas fault zone 5 Event 1- 10 Event 2- 20 Event 3- Location Four Aleutian Islands 5 Event 1- 20 Event 2- Location Five Mid-Atlantic Ridge 5 Event 1- 10 Event 2- 20 Event 3- Location Six Alpine Fault 5 Event 1- 20 Event 2- Answers please people what is a ridicule in english? Two supporting reasons are missing from the proof. Complete the proof by dragging and dropping the appropriate reasons into eachof the empty boxesGivenm || nm1 = 120Prove m6 = 60m || nm1 = 120-given 51- ?m5= m1-angle congruence postulatem5= 120-substitution property of equalitym6+m5= 180- ? m6+120= 180-substitution property of equalitym6= 60-subtraction property of equality Chapter 8 geography and history of Africa quiz Vlad the Impaler, an inspiration for the fictional vampire Dracula, was infamous for his cruel ways of punishing his foes. In what way did he punish his foes? A. by inserting a pole through their bodies and then boiling them alive in water B. by inserting a pole through their bodies and frying them in a huge oven C. by inserting a pole through their bodies and keeping them impaled until they died D. by inserting a pole through their bodies and then dipping them in hot oil Which statement gives evidence for Brutus's tragic flaw in The Tragedy of Julius Caesar?Brutus decides to join the conspirators to murder Caesar.Brutus finds honor in taking his life when his armies are defeated.Mark Antony decides to go to war against the conspirators to avenge Caesar.The audience pities Brutus because he has good intentions but is still defeated. riassunto su anassimandro? If ABC = XYZ, and AB = 8, BC = 10, AC = 15,and XZ = 3x - 6, then x = ?