Terri is sawing wood into shorter pieces of equal lengths. Some original pieces are 30 inches long, some are 48 inches long, and some are 72 inches. She cannot waste any wood. What is the longest possible length of the shorter pieces that Terri saws?

Answers

Answer 1

Answer:

24 inches

Step-by-step explanation:

To find the longest possible length of the shorter pieces that Terri can saw, you need to find the greatest common factor (GCF) of the three original lengths: 30 inches, 48 inches, and 72 inches.

The GCF of 30, 48, and 72 can be found by finding the prime factorization of each number and taking the lowest exponent for each prime factor.

30 = 2 * 3 * 5

48 = 2^4 * 3

72 = 2^3 * 3^2

The GCF is 2^3 * 3 * 5, or 24 inches. Therefore, the longest possible length of the shorter pieces that Terri can saw is 24 inches.

Answer 2

Hello,

I hope you and your family are doing well!

To find the GCF is to use the Euclidean algorithm, which involves repeatedly dividing the larger of the two numbers by the smaller one until the remainder is 0. This can be a quicker method for finding the GCF of larger numbers.

For example:

72 / 30 = 2 with a remainder of 12

30 / 12 = 2 with a remainder of 6

12 / 6 = 2 with a remainder of 0

The last non-zero remainder is 6, so the GCF is 6.

Regardless of the method used, the GCF of 30, 48, and 72 is 6, so the longest possible length of the shorter pieces that Terri can saw is 6 inches.

---

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Happy Holidays!


Related Questions

three less than the sum of x and y​

Answers

Answer:

X+Y-3

Step-by-step explanation:

I don’t know what X/Y is, but “three less than” means you need to subtract 3 from the sum of X+Y

Is the question just asking for it written out like X+Y-3?

Which is a counterexample of the following conditional?

"If a number is divisible by seven, then it is odd."

28
21
7
1

Answers

28 is a counterexample of the conditional "If a number is divisible by seven, then it is odd." since 28 is divisible by 7 but is even.

Describe Odd numbers?

Odd numbers are a type of integer that are not divisible by 2. They are characterized by having a remainder of 1 when divided by 2. Odd numbers can be represented by the formula 2n+1, where n is any integer.

Odd numbers continue indefinitely in both directions on the number line.

Odd numbers play an important role in many areas of mathematics, including number theory, algebra, and geometry. For example, they are often used in proving mathematical theorems and in constructing mathematical models.

Odd numbers also have some practical applications. For example, they can be used to represent the number of items in a group, such as the number of people in a room or the number of apples in a basket. Odd numbers are also used in some programming languages to control the flow of code and make decisions based on conditions.

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It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?

Answers

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

I NEED HELP ASAP!! like now

I NEED HELP ASAP!! like now

Answers

Answer:

1) exponent

2) base

3) power

4) order of operations

5) algebraic expression

6) evaluating

7) like terms

8) variable

A carpenter builds a rectangular bookcase that is 115 cm long and 76 cm tall. The carpenter uses two braces along the diagonals to support the bookcase. What is the length of the one of the braces, to the nearest tenth of a centimeter? Enter your answer as a decimal in the box.​

Answers

Therefore,  one of the rectangle braces measures 137.3 cm to the closest tenth of a centimetre.

What is a rectangle ?

A rectangle is a rectangle with four perpendicularly in the Euclidean plane. It is also known as an apparent equal-sided rectangle or an equiangular parallelogram. Another option for the trapezoid is a straight angle. A square has four edges that are the same length. Quadrilaterals that are rectangular have four identical sides and 4 90° edges. As a result, it is sometimes referred to as a "rectangular trapezoid".

Here,

the vertical brace serves as the hypotenuse of a right triangle, which has the bookcase's sides serving as its legs. The diagonal brace's length can be determined as follows:

length of diagonal brace

=> √(length² + height²)

When we enter the numbers from the problem, we obtain:

length of diagonal brace

= >√(115² + 76²) ≈ 137.3 cm

Using the closest tenth of a centimetre as a guide, we obtain:

diagonal brace length: 137.3 centimetres

As a result, one of the braces measures 137.3 cm to the closest tenth of a centimetre.

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Find the surface area

Find the surface area

Answers

Check the picture below.

so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)

so now let's get the areas of those triangles and those rectangles.

\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)

Find the surface area

7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?

Answers

Answer:

$44

Step-by-step explanation:

Hello!

It said that 7 cameras cost $308, right?

If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:

7x = 308.

If 7x = 308, it would be

308/7 =

44.

So, $44 is the answer.

Belinda is altering dance costumes for an upcoming recital. The number of costumes
she can alter varies directly with the amount of time spent working. If Belinda can
alter four costumes in one hour, find the number of costumes she can alter in four
and a half hours.

Answers

Answer: c  

Step-by-step explanation: the equation asks for the divison of the two equal libruims and u subtract the numeriator by the scound stance


The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:

(a) Write an equation to show the perimeter of the rectangle ?

(b) calculate:
I.width

II.length

III. the area of the rectangle​​

Answers

The equation to show the perimeter of the rectangle is P = 2(2w + 5)

Writing an equation to show the perimeter of the rectangle

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

Calculating the dimensions and the area

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts

Answers

 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

What is a credit card?

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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URGENT HELP ONLY ALLOW RIGHT ANSWER

URGENT HELP ONLY ALLOW RIGHT ANSWER

Answers

Answer:

(2,9)

That's where the maximum is at making it the vertex

I'd appreciate it if you gave me branliest

( 2, 9 )

because that’s the vertex of the parabola .

pls help me giving brainless.​

pls help me giving brainless.

Answers

Answer:

five and three ninths

six and seven tenths

nine and one fifth

NO LINKS!! URGENT HELP PLEASE!!!

9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)

Answers

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Choose the inverse of y = x2 – 10x.

Choose the inverse of y = x2 10x.

Answers

Answer:

The inverse is  5±sqrt(x+25)

Step-by-step explanation:

y = x^2 - 10x

To find the inverse, exchange x and y and solve for y

x = y^2 -10y

Complete the square

x+25 = y^2 -10y +25

x+25 = (y-5)^2

Take the square root of each side

±sqrt(x+25) = y-5

Add 5 to each side

5±sqrt(x+25) = y

The inverse is  5±sqrt(x+25)

Answer:

\(y=\pm\sqrt{x+25}+5\)

Step-by-step explanation:

Given function:

\(y=x^2-10x\)

Rearrange to make \(x\) the subject.

First, complete the square by adding 25 to both sides and factoring:

\(y+25=x^2-10x+25\)

\(y+25=(x-5)^2\)

Square root both sides:

\(\pm\sqrt{y+25}=x-5\)

Add 5 to both sides:

\(x=\pm\sqrt{y+25}+5\)

Finally, swap \(x\) and \(y\) (since the inverse of a function is its reflection in the line \(y = x\))

\(y=\pm\sqrt{x+25}+5\)

Perform the indicated operation.

Perform the indicated operation.

Answers

Answer:

√75 = 5√3 and √12 = 2√3 so √75 + √12 = 5√3 + 2√3 = 7√3.

Answer:

\( 7\sqrt{3} \)

Step-by-step explanation:

\( \sqrt{12} \: can \: be \: simplified \: as \: 2 \sqrt{3} \: and \: \sqrt{75} \: canbe \: simplified \: as \: 5 \sqrt{3} \\ after \: simplifying \: we \: can \: add \: them \: up \\ 2 \sqrt{3} + 5 \sqrt{3} = 7 \sqrt{3} \)

zoe has earned 650$ during the four weeks she worked at the rec center. the first 2 weeks she earned 220$ and 98$. the last 2 weeks she earned the same amount. how much money did zoe earn in the last 2 weeks

Answers

Answer:

The wording of this question was really confusing, but I believe the answer is 166 dollars.

Step-by-step explanation:

$220+ $98= $318

650-318=332

332/2=166

A net of a rectangular prism is shown.
A net of a rectangular prism with dimensions 7 centimeters by 3 and three-fifths centimeters by 2 and two-fifths centimeters.

What is the surface area of the prism?

Answers

Answer:

The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width and h is the height.

In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of 2(7) (3.6) + 2(7) (2.4) + 2(3.6) (2.4), which simplifies to 50.4 + 33.6 + 17.28, or 101.28 square centimeters.

So, the surface area of this rectangular prism is 101.28 square centimeters.

Received message. The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is `2lw + 2lh + 2wh`, where `l` is the length, `w` is the width and `h` is the height. In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of `2(7)(3.6) + 2(7)(2.4) + 2(3.6)(2.4)`, which simplifies to `50.4 + 33.6 + 17.28`, or **101.28 square centimeters**. So, the surface area of this rectangular prism is **101.28 square centimeters**.

Step-by-step explanation:

3v=4.8 what is v anwser

Answers

Answer:

1.6=v

Step-by-step explanation:

Answer:

v=1.6

Step-by-step explanation:

divide both sides by 3

Help me with this question please the answer that gets it right I will give brainliest

Help me with this question please the answer that gets it right I will give brainliest

Answers

Answer:

1/10

Step-by-step explanation:

Please see the attached photo. Hope it helps! :D

Help me with this question please the answer that gets it right I will give brainliest

Answer:

\( x = \dfrac{1}{10} \)

Step-by-step explanation:

\( 4^{\frac{3}{4}} \times 2^x = 16^{\frac{2}{5}} \)

\( (2^2)^{\frac{3}{4}} \times 2^x = (2^4)^{\frac{2}{5}} \)

\( 2^{2 \times \frac{3}{4}} \times 2^x = 2^{4 \times \frac{2}{5}} \)

\( 2^{\frac{3}{2}} \times 2^x = 2^{\frac{8}{5}} \)

\( 2^{\frac{3}{2} + x} = 2^{\frac{8}{5}} \)

\( x + \dfrac{3}{2} = \dfrac{8}{5} \)

\( 10x + 15 = 16 \)

\( 10x = 1 \)

\( x = \dfrac{1}{10} \)

I need help with my math

I need help with my math
I need help with my math
I need help with my math

Answers

Answer:

Page 1 of 3

1. twenty  

2. 16,49  

3. option3  

4.32  

5. 40 tickets     show your work--10= 1.00 40=4.00

Page 2 of 3

7, 14, 21, 28, 35, 42, 49, 56, 63

Page 3 of 3 (left to right)

56, 0, 21, 63, 42, 35, 14, 28, 7, 77, 84, 56, 14, 49, 63, 28, 70, 42, 21, 35, 84, 7, 77, 0, 70

Step-by-step explanation:

learn your times tables

it will help you in high school and college

which type of unemployment is characterized by a worker looking for a job when there is no reason that he or she should not find one

Answers

Answer:

Frictional unemployment

Step-by-step explanation:

If you have the following options:

A. Structural unemployment  

B. Periodic unemployment

C. Frictional unemployment

D. Seasonal unemployment

Answer:

Frictional unemployment

Step-by-step explanation:

Just did test

Describe the slope of the line
Find the slope
m=??

Describe the slope of the lineFind the slopem=??

Answers


Slope formula (y2-y1)/(x2-x1) ride over run (4+3)/(5-2) = answer: 7/3 or 2 1/3

Answer: 2.333333...

Step-by-step explanation:

If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that   \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)

What is the median of these figure skating ratings?
5.0 6.0 7.0 7.5 8.0 9.0 10.0

Answers

Answer:

5.0 6.0 7.0 7.5 8.0 9.0 10.0

arranging the following

5.0 , 6.0 , 7.0 , 7.5 , 8.0 , 9.0, 10.0

7.5 is the median..

Find the area of this composite figure

Find the area of this composite figure

Answers

Answer:

23.9425 (Round if needed)

Step-by-step explanation:

This is 2 half circles so you can find the area of a circle and divide it by 2.

First circle has a diameter of 6 cm

6/2=3 cm

So, circle has radius of 3.

Area of circle= 3.14(pi) radius^2

3.14 x 3^2= 28.26

28.26/2=14.13 cm

Area of first half circle= 14.13

Repeat that process for the second circle.

3.14 x 2.5^2=19.625

19.625/2=9.8125

14.13+9.8215=23.9425

Area=23.9425

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:

Step-by-step explanation:

Yes

Answer:

it's no

Step-by-step explanation:

6 = 5(2) - 4

7 = -1/2(2) + 8

they don't meet at (2,6)

Graph the function. f(x)=3/2(x-4)^2+3

Graph the function. f(x)=3/2(x-4)^2+3

Answers

This is answer. The graph has no x-intercepts.
Graph the function. f(x)=3/2(x-4)^2+3

Answer:


vertex - (4,3)

parabola - (6,9)

Step-by-step explanation:


Khan Academy Answer: plus I did it and it’s just the answer

The daily listening audience of an AM radio station is four times as large as that of its FM sister station. If 105,000 people listen to these two radio stations, how many listeners does the FM station have?

Answers

The number of listeners is given from the total number of listeners and

the ratio of the listeners between the two stations.

Required:

The FM sister station has 21,000 listeners

How is the given ratio of listeners used to find the number of listeners?

Given:

The daily listening audience of the AM station = 4 × The audience of the FM sister station

The number of people that listen to the two stations = 105,000

Required:

The number of listeners of the FM station

Solution:

The ratio of the listeners is 1:4

Let x represent the number of listeners of the FM sister station, we have;

The number of listeners of AM radio station = 4·x

Which gives;

4·x + x = 105,000

5·x = 105,000

\(x = \dfrac{105,000}{5} = \mathbf{21,000}\)

The number of listeners of the FM sister station, x = 21,000

The number of listeners of he radio station = 21,000 × 4 = 84,000

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a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality

Answers

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

A positive; 1 student; $350
B negative; 1 student; $350
C positive; 1 student; $500
D negative; 1 student; $600

A positive; 1 student; $350B negative; 1 student; $350C positive; 1 student; $500 D negative; 1 student;

Answers

A i think beacuse the 1 student is below 500 and the slope is positive because it’s going up

Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x. 18° 18° 20 B D The value of the missing side length labeled as x is _____​

 Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x.

Answers

Answer:

7.2

Step-by-step explanation:

20/12 = 12/x

20x = 144

x = 144/20

x = 7.2

Check to make sure your answer is right:

20/12 = 1.66666666667

12/7.2 = 1.66666666667

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