I am confused in these problems ?
8. 9.

I Am Confused In These Problems ?8. 9.

Answers

Answer 1

Answer:

8. 14

9. 720

Step-by-step explanation:

Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).

8. Find the greatest number that can divide 392 and 462 exactly.

Find the GCD of 392 and 462:

  1. Find the prime factorization of 392

2^3 × 7^2 (2 × 2 × 2 × 7 × 7)

  2. Find the prime factorization of 462

2 × 3 × 7 × 11

  3. To find the GCD, multiply all prime factors common to all numbers  

GCF = 2 × 7, therefore GCD = 14.

9. What is the smallest number that is divisible by 20, 48, and 72?

Find the LCM of 20, 48, and 72:

  1. Find the prime factorization of 20

2^5 (2 × 2 × 5)

  2. Find the prime factorization of 48

2^4 x 3 (2 × 2 × 2 × 2 × 3)

  3. Find the prime factorization of 72

2^3 x 3^2 (2 × 2 × 2 × 3 × 3)

  4. To find the LCM, multiply all prime factors

LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720

Calculator Input:

The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.

For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).

Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.


Related Questions

A 30-foot string of lights will be attached to the top of a 24-foot pole for a holiday display. How far from the base of the pole should the end of the string of lights be anchored?

Answers

Answer:

6

Step-by-step explanation:

Isn't it 6 because that the distance between 30 and 24

Pls Find the value of x

Answers

[tex]x + 104 + 28 = 180 \\ (140 + 28 = 132) \\ x = 132[/tex]

[tex]\sf\longmapsto x + 104 + 28 = 180[/tex]

[tex]\sf\longmapsto x = (104 + 28) = 132[/tex]

[tex]\sf\longmapsto x = 132[/tex]

What’s is log17 divided by 4

Answers

Answer:

log(17 1/4)

Step-by-step explanation:

what is 2/3 times 3/7

Answers

Answer: 2/3 time 3/7 it would be 6/21

Step-by-step explanation: because you would multiply bot the numerator and denominater.

Which of the following function pairs are inverses? ​

Answers

it’s B: f(x) = 5x +3 and g(x) = (x+3)/5

The table and graph both represent the same relationship. which equation also represents that relationship?

Answers

Answer:

I think it's y= 2x

Step-by-step explanation:

For every number in y, x increases by 2

Answer:

y=x2

Step-by-step explanation:

The first one because 2x2 is 4 .  

4x2 is 8

6x2 is 12

Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0

Answers

An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.

From the given parameters, we are to write out five iterations for a triple integral;

[tex]\mathbf{\int ^8_0\ \int^{x^2}_{0} \ \int^y_0 \ \ f(x, y, z) \ dz dy dx }[/tex]

where;

the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.

Thus, since x, y, z are functions of at least one variable, we can have the following iterations:

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}[/tex]

[tex]\mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}[/tex]

[tex]\mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}[/tex]  

Learn more about iterated integrals here:

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A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?

Answers

Answer:

12

Step-by-step explanation:

find the number of outcomes when n = 6 and r = 3. n!
(n−r)!r!

Answers

Answer:

20

Step-by-step explanation:

This is the formula for a combination. Substitute the values and evaluate the expression.

[tex]\frac{n!}{r!(n-r)!}\\\\\frac{(6)!}{(3)!(6-3)!}\\\\\frac{(6)!}{(3!)(3!)}\\\\\frac{(6\cdot5\cdot4\cdot3\cdot2\cdot1)}{(3\cdot2\cdot1)(3\cdot2\cdot1)}\\\\\frac{720}{(6)(6)}\\\\\frac{720}{36}\\\\ 20[/tex]

What is 29−−√?

What 2 numbers does it fall between when placed on a number line?

Question 5 options:

Between 5 - 5.5


Between 4 - 4.5


Between 4.5 - 5


Between 5.5 - 6

Answers

Between 5 - 5.5
Hope this helps.

$12,500 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $486.00, how much is invested at each rate?

Answers

Answer:

$1,538.00

Step-by-step explanation:

what is the value of x in x(a+b)=b(c-x)​

Answers

Answer:

x = [tex]\frac{bc}{a+2b}[/tex]

Step-by-step explanation:

x(a + b) = b(c - x) ← distribute parenthesis on both sides

ax + bx = bc - bx ( add bx to both sides )

ax + 2bx = bc ← factor out x from each term on the left side

x(a + 2b) = bc ← divide both sides by (a + 2b)

x = [tex]\frac{bc}{a+2b}[/tex]

Two linear equations are represented by using the tables below.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
What is the solution to the system of equations?
A. (–6, –4)
B. (–5, –4)
C. (–3, –2)
D. (0, 1)

Answers

Answer:(-3,-2)

Step-by-step explanation:i did the test

Answer: C -3,-2

Step-by-step explanation:

If a function is restricted, is there no end behavior?

Answers

Answer:

If a function is restricted, it still has an end behavior!!!

Step-by-step explanation:

Let's say we have f(x)=(x-4)^2, x≥4.

If this function is graphed, we can see that the line starts at (4,0). It only has one side to it.

This means that it is restricted on the left side. In other words, x has to be greater than or equal to 4.

However, just because this function is restricted doesn't mean it doesn't have an end behavior!

As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:

x --> ∞, f(x) --> ∞

There is no end behavior for the left side because that's where the graph is restricted.

Hope this helps!

what is 345.543 multyply by 46.34 devide by 666.89 ???? help faster 3 minutes remaining

Answers

Answer:

24.010

Step-by-step explanation:

hope it helps

PLEASE ANSWER ILL GIVE 5 STARS AND A HEART!!!

Answers

Answer:

120

Step-by-step explanation:

5x6 = 30

30x4= 120

PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line

Answers

three points would include (0,0), (6,10), (9,15) (-3,-5)

Does anyone know how to do this?

Answers

Answer:

∠ GFC = 67°

Step-by-step explanation:

The sum of the 3 angles in Δ BCF = 180° , then

∠ FCB + 73° + 40° = 180°

∠ FCB + 113° = 180° ( subtract 113° from both sides )

∠ FCB = 67°

∠ GFC and ∠ FCB are alternate angles and are congruent , so

∠ GFC = 67°

Ok done. Thank to me :>

Three times the sum of a number and 7 is equivalent to 57.

Answers

Answer:

3(x+7)=57

Step-by-step explanation:

3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.

-hope it helps

Equivalent expressions are expressions that have the same values.

The expression is [tex]3(x + 7) = 57[/tex] and the number is 12

Represent the number with x.

So, the sum of a number (x) and 7 would be represented as: x + 7

Three times the sum would be represented as: 3(x + 7)

This expression is equivalent to 57.

So, we have:

[tex]3(x + 7) = 57[/tex]

Divide both sides of the equation by 57

[tex]x + 7 = 19[/tex]

Subtract 7 from both sides of the equation

[tex]x + 7 - 7 = 19 - 7[/tex]

[tex]x = 12[/tex]

Hence, the number is 12

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Stacy is driving at a speed of 48 miles per hour. How many feet is she travelling per minute?

Answers

48(miles/hour)*(1 mi/5280 ft)(1 hour/60 min)
-----
= (48*1*1)/(1*5280*60)(ft/min)

Help help help help help help pelsss

Answers

Answer:

angle 4 is also 75 degrees

Step-by-step explanation:

What is 7*1893/2? Help please

Answers

Multiply first then divide:

7*1893 = 13251

13251/2 = 6625.5

Answer: 6625.5

HELPPPP I WILL GIVE POINTS AND BRAINLIEST

Answers

Answer:

11 mm, 21 mm, and 16 mm.

Step-by-step explanation:

since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16

Anna spent 8 hours reading a book. This is twice as long as Kim spent reading her book. Write an
equation that can be used to find the number of hours, h, Kim spent reading her book.

Answers

Answer:

8x2=h

Step-by-step explanation:

Answer:

8 ÷ 2 = h

Step-by-step explanation:

Since we know that 8 hours is two times the amount of time Kim read her book we know we have to divide 8 by 2 to get the answer for h.

have a good day/night

Air is being pumped into a spherical balloon at the rate of 7 cm3/sec. What
is the rate of change of the radius at the in stant the volume equals 36π cm3
? The volume of
the sphere of radius r is (4 over PI )r power of 3

Answers

Answer:

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^3\\\frac{dV}{dt} =\frac{4}{3} ~\pi \times ~3r^2\frac{dr}{dt} \\\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} \\7=4\pi r^2\frac{dr}{dt} \\\frac{dr}{dt} =\frac{7}{4\pi r^2} \\when~V=36 \pi cm^3\\36\pi =\frac{4}{3} \pi r^3\\r^3=\frac{36\pi \times 3}{4\pi } =27=3^3\\r=3~cm\\\frac{dr}{dt} =\frac{7}{4\pi \tmes 3^2} \\\frac{dr}{dt} =\frac{7}{36 \pi } cm/sec[/tex]

ANSWER FOR 30 POINTS

Answers

Answer:

one solution.

Step-by-step explanation:

using elimination, u can get one solution

7 2/5= 2/3x -4 1/2 plz helpp

Answers

Answer:

3 :)

Step-by-step explanation:

Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?

−15x+3≤7


−20, −10, 0, 10, and 20 only

0, 10, and 20 only

−30, −20, and −10 only

−30 and −20 only

Answers

Answer:

0, 10, and 20 only

Step-by-step explanation:

    −15x + 3 ≤ 7

−15x + 3 - 3 ≤ 7 - 3

          −15x ≤ 4

  −15x / -15 ≥ 4 /- 15   multiplying by a negative number reverses the sign.

               x ≥ -4 / 15

probably quicker to just plug the numbers in. Any negative input will immediately create a false statement.

What is the probability that Tom, Ana, and Julio will all win if there are
four candidates chosen for four seats? There are still ten candidates
running.

Answers

Answer:

1/30

Step-by-step explanation:

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).


Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)

Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)

Answers

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

[tex]\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right][/tex]

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The quadrant of the starting point is the second quadrant.

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

point is quadrant IV (the fourth quadrant).

The quadrant of the finishing point is the fourth quadrant.

Part B: The location of the checkpoint is; (5.3, 1)

The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.

The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.

Learn more about the Cartesian coordinate plane here:

https://brainly.com/question/17877300

https://brainly.com/question/16177011

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