The numbers 176 and 342, written as the products

of their prime factors, are 176 = 24 x 11 and

342 = 2 x 32 x 19. Hence, find the smallest whole

number that is divisible by both 176 and 342.

Answers

Answer 1

The smallest whole number that can be divisible by both 176 and 342 is 30096.

To find out the least whole number that is divisible by two numbers, we have to find out the LCM. LCM is the least common multiple. This is done by factorization. We have to factorize both numbers. Prime factorization means we have to write the number as a product of prime numbers.

                   176 =  2×2×2×2×11= 2⁴× 11

                   342 = 2×3×3×19 = 2 × 3² × 19

 

According to the prime factorization method, we have to multiply the highest powers.

So  LCM = 2⁴×  3²× 11 ×19

               = 30096

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Related Questions

A model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time. How many packages of 5 wheels can be made from the 30 wheels?

Answers

Answer:

Step-by-step explanation:

6

The number of packages of 5 wheels can be made from the 30 wheels is 6.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time.

Now, number of packages of 5 wheels

= 30/5

= 6

Therefore, the number of packages of 5 wheels can be made from the 30 wheels is 6.

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There are 342 employees at a work site. The ratio of women to men is 4 to 5. How many of the employees at this work site are women?

Answers

Set up a ratio/proportion and solve. I took a pic.

The following graph shows the cost of renting a car based on the miles driven including fees. The solid line represents Enterprise and the dotted line represents Dollar Rental Car Agency.



A) What is the initial fee for renting a car from Dollar Rental Car Agency?

B) What does the point of intersection represent?

c) If you were planning on driving 100 miles, which company would you choose? Why?


Company ________________


Explanation ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answers

Answer:

A) $40

B) The number of miles at which the cost will be the same for both companies

C) Enterprise. If you drive 100 miles it costs $35 with Enterprise and $45 with Dollar Rental Car Agency

I. Direction: Write the following statement as equations. Write your answers
on a sheet of paper.
1. Four times a number minus twenty-nine is eleven.
2. The product of four less than thrice a number and two will result to forty-
six.
be
3. Three-fifths of a number plus eight is fifty.
II. Direction: Translate the following Algebraic expressions to word phrases.
Write your answers on a sheet of paper.
4.) 51 - (x+5)
5.) 3(y-8)​

Answers

Answer:

1. 4x - 29=11

2. (3x - 4) (2) = 46

3. 3/5x + 8 = 50

4. The difference of 51 and the sum of x and 5.

5. The product of 3 and y minus eight.

Step-by-step explanation:

a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes?
work pls/ explain

Answers

Answer:

$68

Step-by-step explanation:

So, we will start off by putting our original price as a variable, x. Now, we will need an equation to show the relationship between the current price and three-fourths of the original price. The equation will look like this:

[tex]\frac{3}{4} x = 51[/tex]

Then, we will multiply both sides by 4 to get rid of the fraction, giving us:

3x = 204

Finally, we will divide by 3 to find the original price of the sneakers:

x = 68

So the pair of shoes originally cost $68.

Hope this helped!

How do you determine if the given point is a solution of each linear inequality?

Answers

To determine whether the point [tex](1,2)[/tex] is a solution of inequality  [tex]3x - 2y - 6 > 0[/tex],  we substitute the point in the inequality and if the result is True, then it will be the solution .

What is an Inequality ?

The Inequality is defined as a relationship between two expressions or values that are not equal to each other .

The inequality in the question is given as : [tex]3x - 2y - 6 > 0[/tex] ;

the point is ⇒ [tex](1,2)[/tex] ,

to check the solution , we substitute the values in the inequality as [tex]x=1[/tex]and [tex]y=2[/tex] ;

we get , [tex]3(1) -2(2) - 6 > 0[/tex]

= [tex]3-4-6 > 0[/tex]

= [tex]3-10 > 0[/tex]

= [tex]-7 > 0[/tex],

But we know that , [tex]-7 < 0[/tex] , So , the given point is not the solution of the given inequality .

The given question is incomplete , the complete question is

How do you determine if the given point (1,2)  is a solution of each linear inequality 3x - 2y - 6 > 0  ?

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How do you describe similarity transformations?

Answers

A dilation or combination of stiff movements and dilations constitutes a similarity transformation.

Similar figures don't always have to have the same size but share the same form.

A transition called a dilation keeps shape but not size. So a dilatation is a motion that is not rigid. A dilation or combination of stiff movements and dilations constitutes a similarity transformation. If and only if a similarity transformation translates one of the geometric figures onto the other, then two figures are said to be similar. Similar figures don't always have to have the same size but share the same form.

Similarity transformations include translation, reflection, rotation, and dilation. Rotation, reflection, and translation retain both size and form since they are rigid movements, whereas dilation just makes sure that the shape is preserved.

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2/3 of the students in a class passed their math test. If 16 of students passed the test, how many students are in the class

Answers

Answer:

24 students are in the class

Step-by-step explanation:

Let x represent the total number of students in the class. We have the equation:

(2/3)x = 16

x = 24 students

So, there are 24 students in the class.

Answer:

24 students

Step-by-step explanation:

16/2=8

8*3=24

Solve the following problems using completing the Square


Martha and Miguel volunteered in a Tree Planting Program offered by the school. They also donated packs of seeds for the program. The number of Martha's seeds is represented as 2x-3 packs while Miguel's seeds is twice the number of Martha's seeds. If the product of Martha and Miguel's Pack of seed is 50, how many packs of seeds Martha and Miguel donated?

[Write it on paper please ]

Answers

Using factorization method to solve the quadratic equation, the number of seed Martha and Miguel donated are 5 and 10 respectively

What is Quadratic Equation

A quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are constants, and x is an unknown variable. The solution to such an equation is a value of x that will make the equation true.

To determine the number of seeds they donated, we have to write two equations and solve.

data;

Martha = 2x - 3Miguel = 2[2x - 3] = 4x - 6

The product of the seeds is (2x - 3)(4x - 6) = 8x² - 24x + 18

This can be written as

8x² - 24x + 18 = 50

Solving the quadratic equation;

8x² - 24x + 18 - 50 = 0

8x² - 24x - 32 = 0

Using factorization method;

8(x - 4)(x + 1) = 0

x - 4 = 0, x = 4

x + 1 = 0, x = -1

x = 4, x = -1

The number of packs Martha donated is

Martha = 2x - 3 = 2(4) - 3 = 5

The number of packs Miguel donated is

Miguel = 2 * 5 = 10

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17. Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be
tangent are tangent.
o
11
Find x. Round to the nearest tenth if necessary.
19
8
9
12
15
27

Answers

Answer:

x=19

Step-by-step explanation:

9*(9+15)=8*(8+x)

9*(24)=8(x+8)

216=8x+64

216-64=8x+64-64

152=8x

152/8=8x/8

19=x

x=19

25

1 point

(3x + 32)

(5x - 8)

Select the correct equation to solve for x,

3x + 32 + 5x - 8 = 180

3x + 32 = 5x - 8

3x + 32 + 5x - 8 = 90

Answers

The value of x is 20

Now, According to the question:

The given equation is:

3x + 32 = 5x - 8

To solve the equation for finding the value of x .

32 + 3x = -8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

32 + 3x  -5x = -8 + 5x  -5x

Combine like terms:

3x  -5x = -2x

32  -2x = -8 + 5x  -5x

Combine like terms: 5x  -5x = 0

32  -2x = -8 + 0

32  -2x = -8

Add '-32' to each side of the equation.

32  -32 -2x = -8  -32

Combine like terms: 32  -32 = 0

0 -2x = -8  -32

-2x = -8  -32

Combine like terms: -8  -32 = -40

-2x = -40

Divide each side by '-2'.

x = 20

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Urgent!!!
What is the missing angle?

Answers

All triangles equal 180 degrees.
So to get the answer set all angles to 180.
3x+2x+x=180
Simplify: 4x=180
Divide and you get your answer.
X=45
Then you can plug in x for any angle.

Answer: all angles must ad up 20 180

Step-by-step explanation:

I looked it up

In AGHI, the measure of G=76º, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.

Answers

Wow that’s so cooler than the last

The diameter of a circle is 34 inches.What is the area of the circle in square inches?Use 3.14 as pi

Answers

Answer: 907.46 inches squared

Step-by-step explanation:

The formula for the area of the circle is:

[tex]A = \pi r^{2}[/tex]

In this question, pi is 3.14. The radius of a circle is half of its diameter. So:

[tex]\frac{34}{2} =17[/tex]

Plug these values into the equation:

[tex]A = (3.14)(17)^2[/tex]

Simplify:

[tex]A = 907.46[/tex]

The area of the circle is 907.46 inches squared.

Give an MN find the value of X and Y

Answers

9514 1404 393

Answer:

x = 21y = 114

Step-by-step explanation:

Consecutive interior angles are supplementary:

  (6x +6)° +(3x -15)° = 180°

  9x -9 = 180 . . . . . . . . . . . . . . simplify, divide by °

  x -1 = 20 . . . . . . . . . . . . divide by 9

  x = 21

__

Angles of a linear pair are supplementary:

  (3x -15)° +(y +18)° = 180°

  3(21) -15 + y + 18 = 180 . . . . substitute for x, divide by °

  y = 114 . . . . . . . . . . . . . . . . . . subtract 66

The question is in the picture I would appreciate if you could explain how to get the answer thank you.

Answers

Answer: the cost for Internet increase by 5/4 per minute

Step-by-step explanation:

In a certain year, 31% of adults in a certain country viewed college education as essential for success. For the following ten-year period, this percentage increased by approximately 2. 6 each year.

The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by __

Answers

The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.

What is the percentage function?

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100. Example: 2/5 × 100 = 0.4 × 100 = 40 per cent.

The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function:

P(x) = 31 + 2.6x

Where P(x) is the percentage of adults who viewed college education as essential for success x years after the first year, and x is the number of years after the first year.

The function shows that the percentage increase by 2.6 every year for x years after the first year, and the initial percentage is 31%.

This function is representing a linear trend since the coefficient of x is constant.

Hence, The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.

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A)Mark and Jada share 5 yards of ribbon equally. How much ribbon will each get
B)It takes half of a yard of ribbon to make a bow. How many bows can be made with 5 yards of ribbon?

Answers

A) Mark and Jada will each get 2.5 yards of ribbon.

Explanation:
Mark and Jada are sharing 5 yards of ribbon equally amongst 2 people, the two of the together. In order to solve the equation, you must divide the number of yards of ribbon by the number of people equally sharing it, which would be 5 divided by 2. 2 can not be multiplied by any non-decimal number to equal 5, so we can put down the number multiplied by 2 that is closest to 5, which would be 2, because 2 x 2 = 4. Subtracting 5 from 4 gives us 1. Since there are no remainders in our answer, the answer will be a decimal. So then we put a decimal in front of the 2, and add a 0 next to the 1 we got by subtracting 4 from 5, turning the 1 into a 10. 2 times 5 equals 10, so add a 5 to your answer and subtract 10 from 10. 10 - 10 = 0, so the answer is 2.5 yards of ribbon. You can check this answer by multiplying the 2.5 yards of ribbon in our answer by the 2 people who are equally sharing it, 2.5 x 2 = 5 yards of ribbon. So we can certainly conclude that Mark and Jada will be sharing 2.5 yards of ribbon.


B) Mark and Jada can make 10 bows with 5 yards of ribbon.

Explanation:
It takes half a yard of ribbon to make a bow, so we will need to find half of 1. 1 divided by 2 equals 0.5, so 0.5 yards of ribbon will be used for each bow. Now we need to find out how many bows can be made with 5 yards of ribbon. 5 divided by 0.5 equals 10, so the answer come out to be 10 bows. You can check your answer by solving 5 divided by 10, which equals 0.5. So we can safely conclude that 10 bows can be made with 5 yards of ribbon.

I’m sorry if the explanations were too long, I provided a picture so that you could better understand what I’m saying! If I answered correctly and you understood my explanation, a 5 star rating would be highly appreciated! If you didn’t understand my explanation, but the answer was right, a 4 star rating would be better. Thank you!

5. What is the mean weekly salary at each company?
6. Four of the 5 employees at Company B each received a raise of $30. After the raises, how much greater is the mean salaries for company B than Company A? Explain how to slove the problem.

Answers

Answer: picture shown is not available

Step-by-step explanation:


GIVING BRAINLIEST! HELP

Answers

Answer:

Its first option. bcz its doubled... right..

A four-part spinner is spun once.

List the sample space for the experiment.
S = {Q, R, R, T}
S = {Q, R, S, T}
S = {R, A, T}
S = {S, Q, Q}

Answers

The sample space for the experiment, S= {Q, R, S, T}.

What is Sample Space in an Experiment?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given:

From the Spinner we can see four portions as

Q(Orange)

R(Green)

S(Blue)

T(Purple)

So, if the spinner spined then it will point Q, R, S or T which is the Sample space for the Spinner.

Hence, the Sample space is {Q, R, S, T}.

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Answer: B: S = {Q, R, S, T}

Step-by-step explanation:

This is the only answer listed with the letters on the spinner.

LORD SOMEONE please help me!! ASAP I will give brainiest! Fr

the public school enrollment of a city is 13,500. Enrollment is declining at a rate of 4.5% per year. predict the enrollment in 5 years.

Answers

Answer:

16537.5

Step-by-step explanation:

4.5% of 13500 = 607.5

607.5 x 5 = 3037.5

3037.5 + 13500 = 16537.5

฿₤₦

Arelli uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer:

1.73

Step-by-step explanation:

Arelli use 6.9 pints of white and blue paints for her bedroom

3/4 of this amount is white

3/4

= 0.75×100

= 75

100-75

= 25

Amount of blue paint is

25/100×6.9

= 0.25×6.9

= 1.73

consider the equations t(n)=2n-5 and f(x)=2x-5

Answers

Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.

Analyze the equation.

A mathematical equation seems to be a formula that links two statements and signifies equivalence with the equals sign (=). In algebra, a scientific claim that confirms the equality two two mathematical abstractions is referred to as an equation. For instance, the answer obd + 6 = 12 has an equal sign between the elements ptdc + 6 and 12, respectively. There is a mathematical formula that describes the connection between the two syllables on either side of a letter. Frequently, the symbol and the single variable are the same.

Here,

f(x)=2x-5 and t(n)=2n-5 are given.

A) They both depict the sequence.

B) Unless the expression is undefined, the domain of both the expression seems to be all real numbers. In this instance, the phrase is defined despite the lack of a real number.

(−∞,∞) is an interval notation.

{x|x ∈ R} is the Set-Builder Notation.

Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.

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Find the slope of the line that passes through (7, 1) and (2, 8).

Answers

Answer:

-7/5

Step-by-step explanation:

(1-8)/(7-2)= -7/5

Answer:-1.4

Step-by-step explanation: The slope or gradient is given by

Slope=y2-y1÷x2-x1.

From the problem

X1=7

Y1=1

X2=2

Y2=8

Thus we will have

Slope=(8-1)÷(2-7)

=7÷(-5)

=-1.4

Please answer with explanation

Answers

Answer:

(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−

4

1

)−12(−1)

2

]−5[24+2(−12)]

2

Do the arithmetic.

Calculate -1−1 to the power of 22 and get 11.

-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

1

−12)−5(24+2(−12))

2

Subtract one term from another.

Subtract 1212 from -\frac{1}{4}−

4

1

to get -\frac{49}{4}−

4

49

.

-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

49

)−5(24+2(−12))

2

Multiply two factors together.

Multiply -2−2 and -\frac{49}{4}−

4

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}

2

49

−5(24+2(−12))

2

Multiply two factors together.

Multiply 22 and -12−12 to get -24−24.

\frac{49}{2}-5\left(24-24\right)^{2}

2

49

−5(24−24)

2

Subtract one term from another.

Subtract 2424 from 2424 to get 00.

\frac{49}{2}-5\times 0^{2}

2

49

−5×0

2

Multiply two factors together.

Multiply 55 and 00 to get 00.

\frac{49}{2}-0

2

49

−0

Add two terms together.

Subtract 00 from \frac{49}{2}

2

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}

2

49

2

49

=24.5

(b)−a

2

b

2

−3a

3

b

2

a=−

3

1

b=−1

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Why do we use 1st and 3rd quadrant?

Answers

The usage of first and third quadrant is explained below.

The term quadrant in math is known as a region defined by the two axes (x-axis and y-axis) of the coordinate system.

Here we need to list down the usage of first and third quadrant is as follows:

As we all know that the Third Angle Projection schema imagines the object in the third quadrant.

And in one can place an object on the bottom of the horizontal plane and behind the vertical planes.

Where as the first angle projection is utilized mostly in the United States and it places the object between the observer and the object.

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What is the slope and y-intercept of this linear equation y 3x 5?

Answers

The slope of the line is 3 and the y-intercept is -5.

The slope of a line is the coefficient of the x term (in this case, 3). To calculate the y-intercept, we can plug in x = 0 and solve for y. Doing this, we get y = 0 + 3(0) + 5 = -5. Therefore, the slope is 3 and the y-intercept is -5.

The slope of a linear equation is found by looking at the coefficient of the x term. In this case, the coefficient of the x term is 3, so the slope of the line is 3. To find the y-intercept, we can plug in x = 0 into the equation and solve for y. Doing this, we get y = 0 + 3(0) + 5 = -5, so the y-intercept is -5. Therefore, the slope of the line is 3 and the y-intercept is -5. This equation is therefore a linear equation with a slope of 3 and a y-intercept of -5.

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Select two numbers that make the inequality true. 2x - 3 > 1​

Answers

Answer:

3,4,5,6,..................any number bigger than 3 can be taken as the answer

Answer: 3 and 4

Step-by-step explanation:

2(3) - 3

6 - 3 = 3

3 > 1

2(4) - 3

8 - 3 = 5

5 > 1

Tiffany's mother bought a car for $9000 five years ago. She wants
to sell it to Tiffany based on a 15% annual rate of depreciation.

Answers

Answer:

I would say the answer would be 1350 because 15 percent of $9000 would be 1350

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