two pipes with lengths of 42 inches and 54 inches respectively are to be cut in pieces of equal lengths. what is the greatest possible length of these pieces so that no part of either pipe is left over in inches

Answers

Answer 1

Answer: 6

Step-by-step explanation:

Since we are informed that two pipes with lengths of 42 inches and 54 inches respectively are to be cut in pieces of equal lengths and we want to know the number of pieces that they can be cut into.

This question simply means that we need to find the factors of both 42 and 54 and choose the highest.

42 = 1, 2, 3, 6, 7, 14, 21, and 42.

54 = 1, 2, 3, 6, 9, 18, 27, and 54.

Therefore, the highest common factor is 6. Therefore, the greatest possible length will be 6 inches


Related Questions

Can anyone PLEASE help me with this!?

Answers

The answer I got was A f(-4)=x

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Answers

Answer:

48 and 25

Step-by-step explanation:

number 1 is 8×8=48 and same thing for number 2 5×5

i don't know why you're spamming that lol

Hey luvs!

The endpoints of AB are A(1,4) and B(5,-1). What are the coordinates of the point that divides AB in the ratio
2:3?

Answers

Answer:

I don't know I'm sorry.............

Karen opened a savings account with $500. The money earns 0.2% interest per
month. If she does not make any withdrawals or any more deposits, approximately how
much money will Karen have in the account after two years?

Answers

Answer:2,500

Step-by-step explanation:

I'm guessing it is exponential, which means the balance increases by more over time, so the equation would be

500(1+0.002)^2=520.2002

or rounded to 502

FOR 10O POINTS!! Solve for x

Answers

Answer:

the answer is A. 14

Step-by-step explanation:

Find the present value of an ordinary annuity with deposits of $14,235 quarterly for 10 years at 10.0% compounded quarterly.
What is the present value?

Answers

You would use this equation y=14,235(1+0.10)^10
Solving it like this
Y=14,235(1.1)^10
Your final answer is 36921.92392 then round and get 36921.92

7(3d + 12) if d=4 I don't know the answer please help.

Answers

Answer:

Its 21+84

Step-by-step explanation:

Plz help me well mark brainliest if correct!!...

Answers

Answer:

You should stick with option D

the $700 you put into the bank is being continuously at 1.2%. how much will it be worth after 3 years?

Answers

Answer:

$983.45

Step-by-step explanation:

Given data

Principal= $700

Rate= 1.2%

Time= 3 years

The compound interest expression is given as

A= P(1+r)^t

A= 700(1+0.12)^3

A= 700(1.12)^3

A= 700*1.404928

A=$983.45

Hence the balance will be $983.45

A day in the month of January is randomly selected What is the probability of selecting a perfect square?

a. 5/30
b. 6/31
c. 1/6
d. 5/31

Answers

Answer:

5/31

Step-by-step explanation:

there are 31 days in January 5 of those are prefect squares (1,4,9,16,25)

The answer would be D

Practice:

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0)
-112°

a. 0.98 units
b. 0.62 units
c. 0.62 units clockwise
d. 1.95 units clockwise

Please select the best answer from the choices provided

Answers

Answer:

D. 1.95 units clockwise

Step-by-step explanation:

I calculated it logically

To decide whether two different types of steel have the same true average fracture toughness values, n specimens of each type are tested, yielding the following results. Type Sample Average Sample SD 1 60.7 1.0 2 60.5 1.0 Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n

Answers

Questions :

a. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 100. (Round your answer to four decimal places.)

b. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 500. (Round your answer to four decimal places.)

c. Is the small P-value for n = 500 indicative of a difference that has practical significance

Answer :

0.1574

0.00157

Yes

Step-by-step explanation:

Hypothesis :

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

Given :

x1 = 60.7 ; x2 = 60.5 ; s1 = 1 ; s2 = 2

Based on n = 100

Test statistic, Z :

Z = (x1 - x2)/[√(s1²/n1 + s2²/n2 )]

x1 - x2 = 60.7 - 60.5 = 0.2

0.2 / √(1²/100 + 1²/100 )]

0.2 / √0.02

Z = 1.414

The Pvalue from Zscore :

P(Z < 1.414) = 0.1574

B.)

For n = 500

Z = (x1 - x2)/[√(s1²/n1 + s2²/n2 )]

x1 - x2 = 60.7 - 60.5 = 0.2

0.2 / √(1²/500 + 1²/500 )]

0.2 / √0.004

Z = 3.162

The Pvalue from Zscore :

P(Z < 3.162) = 0.00157

Yes, the small Pvalue for n = 500 is indicative of a difference with practical significance ; as the Pvalue are compare with the α to make about a Decison about our hypothesis.

Please match the a, b, h, k with the following function
y=3 - In (t – 7) + 2

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

John eats 4/12 of a sandwich. Emma eats 3/12 of the same sandwich. How much more sandwich did John eat than Emma?​

Answers

Answer:

[tex]\frac{1}{12}[/tex] more sandwich

Step-by-step explanation:

Very simple. Just subtract the amount Emma ate from the amount John ate.

[tex]\frac{4}{12} - \frac{3}{12} = \frac{1}{12}[/tex]

Hope this answer helped! :)

Answer:

John ate [tex]\frac{1}{12}[/tex] of a sandwich more than Emma.

Step-by-step explanation:

In order to find out how much more sandwich did John eat than Emma we just need to find the difference between the amounts that they ate, and so we get...

[tex]\frac{4}{12} - \frac{3}{12} = \frac{1}{12}[/tex]

Therefore John ate [tex]\frac{1}{12}[/tex] of a sandwich more than Emma.

4(-1)+2
ItS HARD HELP

Answers

Answer:

-2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

you multiply 4 by -1 and then add 2 to the product of that

Can someone help me with this worksheet? I'm trying to check my daughter's work and I'm not sure how to do this. Showing the work would help me see where and if shes wrong.

Answers

Answer:

Step-by-step explanation:

scam . smď

Bhumika buys 3 identical pairs of shoes. Each pair is 40% off the regular price. She pays $110.25 after the discount. What is the regular price of each pair?

Answers

Answer:

She buys 3 pairs from store a.

So divide the 110.25 by 3.

You will get the amount that she spent for each pair.

Change 40% to a decimal which would be .40 then you multiply the amount she spent on each pair ($36.75) by the .40.

You will get 14.7 so you add $14.70 to the amount she spent on each and you will get The original price of each pair was $51.45.

Step-by-step explanation:

Mark as  Brainliest

Answer:

The original price of each pair was $51.45.

Step-by-step explanation:

Mark other guy brainliest

What is the solution of the system of equations?
y = 2x
Y = x+ 5
Ob. (2,7)
Oa. (0,5)
Oc. (1 2/3,6 2/3)
Od. (5, 10)

Answers

The solution of system of equations is (5, 10)

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=2x ...(1)

y=x+5...(2)

Let us plug in equation 2 in equation 1

x+5=2x

Subtract x from both sides

x=5

Now plug in x value in equation 1

y=2×5

y=10

Hence, the solution of system of equations is (5, 10)

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

PLS HURRY. WILL MARK BRAINLEST!!!! JWKSNWN PLEASE I NEED IT!!

Answers

Upper quartile is the upper half of the data, seems to be 22-28

Sequences and series!! Help please

Answers

So, its more like this:

Using the polar form, a complex number with modulus r and argument θ may be written

z = r(cos 0 + j sin θ)

It follows immediately from Euler’s relations that we can also write this complex number in

exponential form as :

z = [tex]re^{j0}[/tex]

When using this form you should ensure that all angles are measured in radians and not degrees.

The exponential form of a complex number is in widespread use in engineering and science. Since z = r(cosθ + isinθ) and since eiθ = cosθ + isinθ we therefore obtain another way in which to denote a complex number: z = reiθ, called the exponential form.

I'm leaning towards the answer choices A. and C.

But I'm sure it's A because of the two, C has an x. That's the only difference they have.

Here's another example,

Let z=x+iy, its exponential form comes from identifying it as the point (x,y) in the (Argand) plane. This basically amounts to writing it in what would be polar form in the real plane. Writing it as:

z =reiθ

. If you graph the point (x,y) and treat it as a vector its easy to see that r=|z| and θ=tan−1(yx).

For purely real numbers, they are already in exponential form since they are equal to their modulus and θ=0.

Also, you can write:

Re(z)=z+z¯2

if you want to write it purely in terms of z. Both of your numbers are purely real and thus they are already in exponential form. I suppose if you wanted to be strict about it you could write it as:

|1−z|=|1−z|e0i

6
7
8
9
10
11
16 17 18
19
12 13 14 15
data
0
Based on the boxplot above, identify the 5 number summary

Answers

Answer:

5 10 16 17 18

Step-by-step explanation:

Using the box plot above, the 5 number summary is this :

Minimum = value at the starting point of the left whisker = 5

Lower quartile = value at the start point of the box = 10

Median = value marked in between the box = 16

Upper quartile = value at the end point of the box = 17

Maximum = value at the endpoint of the whisker = 18

nstead of power posing in horses, you are interested in whether music can induce a mere exposure effect at short timescales. You read a paper that claims that it can, reporting a significant mere exposure effect. Alpha level was 0.05, the ratio of true to false effects in this field is 0.7 and the power of this study was 0.8. The probability that this effect is real is

Answers

Answer:

Probability that effect is real = 0.97

Step-by-step explanation:

Given data :

ratio of true to false = 0.7

Alpha level = 0.05

power of study = 0.8

Determine the probability that this effect is real

From the question we can deduce : 70% of events are real , 30% of events are not real

% of real effect = 0.8 * 70% = 56%

% of false effect = alpha level * percentage of unreal events

                          =  0.05 * 30% = 1.5%

summation of effects = 56 + 1.5 = 57.5%

Hence probability that the effect is real

= 56% / 57.5%

= 0.9739 ≈ 0.97

Write a piece wise graph NEED ASAP PLEASE

Answers

Answer:

C

Step-by-step explanation:

Here's the easy way. There are 3 equations. One of the equations uses y=1. So it must be C.

A 90% confidence interval for the mean age, in weeks, at which a baby first crawls was reported to be (32, 46). The margin of error for this confidence interval is

Answers

Answer:

The margin of error for this confidence interval is of 7.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the subtraction between these bounds, divided by 2.

In this question:

The bounds are 32 and 46.

(46 - 32)/2 = 14/2 = 7

The margin of error for this confidence interval is of 7.

Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill? Explain.

Answers

Answer:

see below

Step-by-step explanation:  5  26  9  17

cylinder with a radius of 7cm and a height of 10 cm

find the value of each flower pot and divided it into 24000 cm³

flower pot = π r² h   =  π × 7² × 10   =  π490    =  1539.38 cm³

24000 cm³ / 1539.38 cm³  =  15.59  flower pots

so Carl could only FILL 15 flower pots

Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil. So, Carl could only fill 15 flower pots.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The cylinder with a radius of 7cm and a height of 10 cm.

The flower pot = π r² h  

[tex]= \pi \times 7^2 \times h\\ = 490 \pi \\ = 1539.38 cm^3[/tex]

= 24000 cm³ / 1539.38 cm³  

=  15.59  flower pots

So, Carl could only fill 15 flower pots.

Learn more about the volume of the cylinder here:

https://brainly.com/question/12763699

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1) Which division expression is the given figure below modeling?
10 points
A) 2/3=4
B) 4 = 2/3
C) 4x2/3
D) 2/3 x 4
Figure to use with Problem #1​

Answers

4/8=32 in think that’s the answer

At a marlin fishing tournament, the winning fish was 342 5/16 pounds. The average fish caught weighed 167 3/8 pounds. What is the difference between the weight of the winning fish and the weight of the average fish caught?

Answers

Step 1: Subtract the average from the winning tournament pounds
342 5/16 - 167 3/8 = 174 15/16

Therefore, the DIFFERENCE between not is 174 15/16

Answer:

174 15/16 lbs or 2799/16 lbs

Step-by-step explanation:

to find the difference of the weight of the winning fish and the avg fish, I'm assuming you just need to subtract the values from each other.

so first I'm just gonna convert the mixed numbers into improper fractions because its easier to do math that way (for me).

342 5/16 = 5477/16 winning fish

167 3/8 = 1339/8 avg fish

now I need to find the difference between them so I'll just subtract the smaller number from the bigger number.

5577/16 - 1339/8 = difference

but wait oh no, they don't have the same denominator, so I'll multiply the 1339/8 by 2/2 so that I get a number over 16.

5577/16 - 2678/16 = difference

2799/16 lbs or 174 15/16 lbs (if you want to convert it into a nice mixed number)

The shorter tree is 10 ft. tall, and casts a shadow that is 15 feet long. If the taller tree casts a 18 ft. shadow, how tall is the tree?

Answers

Answer: The height of the tree is 27 ft

find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 20/21

Step-by-step explanation:

tan Θ = opp/adj

tan A = 20/21

the final answer math

Answers

Answer:

$10.50

Step-by-step explanation:

$39.90 ÷ 3.8 pounds

= 10.50263157894735

after rounding, your answer must be 10.50

hope this helps.

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