Suppose that $a$ is a multiple of $3$ and $b$ is a multiple of $6$. Which of the following statements must be true? A. $b$ is a multiple of $3$. B. $a-b$ is a multiple of $3$. C. $a-b$ is a multiple of $6$. D. $a-b$ is a multiple of $2$. List the choices in your answer separated by commas. For example, if you think they are all true, then answer "A,B,C,D".

Answers

Answer 1

The statements that are true, based on the multiples of 3 and 6 are:

A. $b$ is a multiple of $3$. B. $a-b$ is a multiple of $3$.

How do multiples relate ?

When a number is a multiple of a smaller number, then all the multiples of that larger number, will be the multiples of the smaller number.

This means that all the multiples of 6 ( including b ) will be multiples of 3 as well because 6 is a multiple of 3.

It is also interesting to note that the difference between the multiples of 3 are also multiples of 3. This means that a - b will result in a number that is a multiple of 3.

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Related Questions

Pls answer this question

Answers

Answer:

1) B

Step-by-step explanation:

1)

The formula for the volume of a prism is h * l * w

So, if we do that we get 25/18

2) B

Lets say we talk the top surface, there are 30 cubes on that surface and we want to find the volume of one cube so we are going to divide by 50. we take the measurements which are 5/6 and 1 for the top surface and we multiply. We get an answer of 5/6 now we divide by 30

So...

5/6 * 1/30 (We switched the numbers around because we are dividing.)

5/6 * 1/30 = 5/180 now we can simplify this to 1/36.

5 and 180 are a factor of 5

Hope this helps

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Answers

The solution is 40°

The measure of the angle ∠ABE = 40°

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the angle be represented as ∠ABE

Now , let the line be EBC and the total angle of a straight line = 180°

And , the measure of ∠CBD = 40°

Since , ∠ABE and ∠CBD are vertically opposite angles ,

The measure of ∠ABE = measure of ∠CBD

Therefore , the value of ∠ABE = 40°

Hence , the measure of vertically opposite angle ∠ABE = 40°

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show your work plz and i will give brainliest

Answers

Answer:

B) is false

Explanation:

A triangle canot have 2 abtuse angles and one acute angle.

Answer:

B is false

Step-by-step explanation:

a is true because an equilateral triangle has three acute angles (60 degrees)

c is true because an iscoceles triangle can be drawn with one obtuse angle and two acute angles.

d is true because a right angled triangle can be drawn with one right angle  and two acute angles.

b is false because neither an equilateral, iscoceles, right-angled, or scalene triangle can be drawn with two obtuse angles.

a.
A rectangular prism has a volume of 192 cm. Its length is 8 cm and its width is 6 cm. What is the prism's height?
4 cm
C. 24 cm
b. 48 cm
d. 32 cm I'll give Brainly

Answers

Answer:

4cm

Step-by-step explanation:

Volume of a rectangular prism is V = L x W x H

plug in what we know:

192 = 8 x 6 x H

192 = 48H

divide both sides by 48

H = 4

answer to this please

Answers

Answer:

Sue travels for 3 hours and a half

Sue stays stationary for 2 hours and a half

Step-by-step explanation:

Everytime the curve climbs, it means Sue is travelling. Everytime the curve stays flat, it means Sue is stays stationary. It remains to count up the total for both categories, with one square being 30 minutes.

Sue spends 3.5 hours on travelling and 2.5 hours stationary.

What is distance-time graph?

It is a graph which shows how far an object has travelled in a given time.

What is a stationary graph?

It is graph of function which represents there is no change in the function value or the function value is constant.

What is change in value?

"subtract old value from new value."

For given example,

Given distance-time graph represents a journey made by Sue.

Let 't' represents the travelling time and 's' represents the stationary time.

If we observe the graph,

from 2 pm to 3 pm Sue travelled 5 miles

⇒ t1 = 3 - 2

⇒ t1 = 1 hour

from 3.5 pm to 4 pm she travelled 10 miles

⇒ t2 = 4 - 3.5

⇒ t2 = 0.5 hour

from 5 pm to 6.5 pm she travelled 15 miles

⇒ t3 = 6.5 - 5

⇒ t3 = 1.5 hours

from 7.5 pm to 8 pm she travelled 5 miles

⇒ t4 = 8 - 7.5

⇒ t4 = 0.5 hour

So, the total travelling time would be,

⇒ t = t1 + t2 + t3 + t4

⇒ t = 1 + 0.5 + 1.5 + 0.5

t = 3.5 hours

Also, Sue spends stationary from 3 pm to 3.5 pm

⇒ s1 = 3.5 - 3

⇒ s1 = 0.5 hour

She spends stationary from 4 pm to 5  pm

⇒ s2 = 5 - 4

⇒ s2 = 1 hour

She spends stationary from 6.5 pm to 7.5 pm

⇒ s3 = 7.5 - 6.5

⇒ s3 = 1 hour

So, the total stationary time would be,

⇒ s = s1 + s2 + s3

⇒ s = 0.5 + 1 + 1

s = 2.5 hours

Therefore, Sue spends 3.5 hours on travelling and 2.5 hours stationary.

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does anyone know the answer to this??

Answers

Answer:

10 4/15

Step-by-step explanation:

(4+5)+(2/3+3/5)

9+(2/3+3/5)

9+19/15

9+1 4/15

10+4/15

10 4/15

Nora had $179 in her bank account an deposits $40 per month into her bank account. Liliana has $31 and deposits $77 per month into her account. Enter the number of months it will take for both Nora and Liliana to have the same amount of money in their accounts

Answers

Answer:

4 months

Step-by-step explanation:

y=179+40x.  Equation 1

y=31+77x.     Equation 2

179+40x=31+77x. Replace y from equation 1 and replace y of equation 2

148=37x

4=x

Bella wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.75 per pound and raspberries cost $2.75 per pound. How much does she spend if she buys 3 pounds of blueberries and 1.5 pounds of raspberries? How much does she spend if she buys xx pounds of blueberries and yy pounds of raspberries?

Answers

Answer:

a) 15.375

B) at a minimum 65 dollars

Step-by-step explanation:

part one you multiply the pound by the price and get your answer and part 2 its a double digit number so you find the minimum

3 Points
SHORT ANSWER
Question 10
What is the area of the regular polygon shown below?
8 cm
Answer using complete sentences and include all relevant calculations.
H.

Answers

Answer:

[tex]12 \sqrt{6} [/tex]

Step-by-step explanation:

If each side of the regular hexagon measures 8cm then the area of the given hexagon is 96√3 square centimeters. 96√3 simplified is 12√6.

Which expression represents the growth of an investment of $2,000 at 4% per year for a period of t years?

2000t1.04
2000(0.04)t
2000(1.04)t
2000(1.4)t

Answers

Answer:

2,000(1.04)t

Step-by-step explanation:

To determine this answer, you would use the formula initial value (1 + interest) times the number of years. This would equal 2,000(1.04)t.

Answer:

Which expression represents the growth of an investment of $2,000 at 4% per year for a period of t years?

2000t1.04 2000(0.04)t 2000(1.04)t  <<<CORRECT 2000(1.4)t

Step-by-step explanation:

Edge 2021

In the equation y = 2x + 3, if the change in x is 1, the corresponding change in y will be _____.

Answers

Answer:

search it

Step-by-step explanation:

Find the value of c that creates a perfect square trinomial.
x^2+16x+c c =

x^2−20x+c c =

Answers

Answer:

c=8

c=100

Step-by-step explanation:

Find m/ABD and m/DBC. Enter deg after any value that is in degrees.

Answers

Therefore, as a result, the angles of the triangle m∠ABD and m∠DBC equal 37 et 58 degrees, accordingly.

Defining a triangle

You can link any key steps in a plane to form triangle, that have sides and three angles. They were among of the first geometric forms to be examined. Since triangles might well be divided into any polygon, regardless of whether it contains four, five, six, ... n sides, they are very significant.

Here,

Given that in this case mABC is 95 degrees

The meeting of two lines forms an angle, while a line cutting an angle in half equally divides it.

Looking at the example,

∠ABC is equal to ∠ABC + ∠ABCD.

with the following

95 degrees, ∠AB

∠ABD = 2x + 23

∠DBC = 9x - 5

Put the missing pieces of the equation in.

95 = 2x + 23 + 9x - 5

95 =11x +18

11x = 95 - 18

11x = 77

x = 77/11

x = 7

Recognize the angle AB

∠ABD = 2x + 23

∠ABD = 2(7) + 23

<ABD = 14 + 23

∠AB = 37°

Apply the ∠DBC angle.

95 - ADBD is ∠DBC.

∠DBC = 95 - 37

A DB of 58 degrees

The readings of m∠ABD and m∠DBC are therefore 37 and 58 °, respectively.

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Which single power is equivalent

Answers

3^4 is the correct answer. distribute the 2 exponent to the 3 exponent(3^6/3^2), then “divide” by subtracting the powers.

Which of the following is an exponential function?
a) f(x)=5x-6
b) f(x)=2/x
c) f(x)=3x^3
d) f(x)=3^x

Answers

Answer:

d) f(x)=3^x

Step-by-step explanation:

it is written in exponential function form

HELP THIS IS URGENT!!!! During a sale, a store offered a 35% discount on a camera that originally sold for $750. After the sale, the discounted price of the camera was marked up by 35%. To the nearest whole number, what percent of the original price was the price after markup?

Answers

Answer:

the percentage is 62%

Step-by-step explanation:

PLEASE HELP!!! WILL MARK ANSWER BRAINLIEST!!!!!!! The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails. The manager found that 0.3 pounds of nails in the sample were defective. They were either bent, the heads were damaged, or they had been clipped too short during manufacture. How many pounds of defective nails should the manager expect the 350-pound delivery to contain? Round your answer to the nearest tenth of a pound.

Answers

The manager should expect the defective nails of 350-pound delivery to contain 23.3 pounds .

How to find defective rate?

The defect rate is a measurement of the proportion of production units that are flawed or useless relative to a certain number of units. Businesses use this assessment to assess the quality of their products and how they affect their bottom line. Although lower rates are desired, no industry has a set acceptable fault rate. Therefore, businesses must choose their goal defect rate.

Defect rate is crucial because it enables firms to calculate the proportion of output units that fail quality checks. This assists the firms in identifying any issues with quality control or manufacturing and estimating the cost of each fault. To estimate the profitability of a product, businesses can also compare failure rates among comparable or dissimilar products.

In ever 4.5 pounds of nail defective nails are = 0.3 pounds

In ever 1 pounds of nail defective nails are = 0.3/4.5 pounds

In ever 350 pounds of nail defective nails are = (0.3/4.5)*350 pounds

⇒ the defective nails in 350 pounds of nails= 105/4.5

⇒ the defective nails in 350 pounds of nails= 23.3 pounds

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Can someone please explain how to do inequalities in math.
please add an example too.

Answers

When solving inequalities, solve them like regular equations. Worry about the inequality sign/s at the end.

For instance, if the inequality is 11 - 8x < -13

1.Subtract 11 on both sides to get -8x by itself. 11-11 - 8x < -13-11

2. Simplify
-8x < -24

3. Divide both sides by -8
-8x/-8 < -24/-8

4. Simplify
X < 3, but since you divided by a negative number you need to switch the inequality sign to x>3. This is because an inequality rule says when you’re dividing a negative number, the inequality sign switches. But, if you’re dividing by a positive number, you don’t change the sign.

And you would graph this on a number line by having an open circle of 3 with the line going to the right. It would have an open circle because it doesn’t include 3 as the solution.

There are 8 pencils in each pack of pencils. A teacher ordered some packs of pencils. How many pencils will the
teacher receive?

Answers

Answer: The teacher will receive 96 pencils

Step-by-step explanation:

1.) You take the amount of packs she ordered and multiply it with the amount pencils in each pack. (12x8)

. A factory produces 32 tables in an 8-hour day. Calculate how many
tables are produced:
a ) in 1 hour b) in 3 days c ) in a 5-day week

Answers

Answer:

A) 4

B)280

C)480

Step-by-step explanation:

1. 32÷8 =4

multiply 4 by the times of hours in that day frame

and boom you got your answers

how to solve inequations

Answers

Answer:

When solving an inequality:  you can add the same quantity to each side •you can subtract the same quantity from each side you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.

you can add subtract multiply and divide the quantity to each side

But if you’re doing any of those with a negative quantity, the inequality symbol must be reversed

3 x -8> 29

3 x -8 < 29

I need help with this math problem if u out a link I’ll report u but if u giv a good answer I’ll mark as brainliest

Answers

Answer:

1. MAD for Jada's data set = 1

Step-by-step explanation:

Mean Absolute Deviation = sum of the distances of each data value from the mean ÷ number of data value

Jada's data set is given as: 4, 4, 4, 6, 6 ,6

Mean = 5

✔️Find the distance between each data value form the mean

4 = |4 - 5| = 1

4 = |4 - 5| = 1

4 = |4 - 5| = 1

6 = |6 - 5| = 1

6 = |6 - 5| = 1

6 = |6 - 5| = 1

✔️Find the sum of the distances of each data value from the mean

1 + 1 + 1 + 1 + 1 + 1 = 6

✔️Find the MAD:

MAD = 6/6

MAD = 1

Find the area of the rectangle with a length of (5x + 4) and a width of (3x - 2).

Answers

Answer: the answer is 9x

Step-by-step explanation:

The answer is 9 have a nice day

Troy walked 85 meters. Rico walked 29 meters.
How much farther did Troy walk than Rico?

Answers

Answer:

he walked 56 more than rico

A model rocket is launched off the top of a platform. The height of the rocket is given by the function h(t) = -4.9t2+ 86t + 2.1, where h(t) is the height in meters and t is the time in seconds. When will the rocket's height be 200m?

Answers

Answer:

t = 14.82 and 2.72secs

Step-by-step explanation:

Given the function of the rocket height expressed as;

h(t) = -4.9t^2+ 86t + 2.1

if the rocket height is at 200m, then;

200 = -4.9t^2+ 86t + 2.1

multiplying through by 10

2000 = -49t^2 + 860t + 21

49t^2 - 860t - 21 + 2000 = 0

49t^2 - 860t + 1979 = 0

Factorize

t = 860±√(860)²-4(49)(1979)/2(49)

t = 860±√739,600-387,884/98

t = 860±√351,716/98

t = 860±593.06/98

t = 860+593.05/98 and 860-593.05/98

t = 1,453.05/98 and 266.94/98

t = 14.82 and 2.72secs

These are the times

Would it be possible for 3x2 to equal 1?

Answers

Answer:

no

Step-by-step explanation:

3x2=6 ;-;

Is it possible for [tex]3\times2[/tex] to equal 1?

[tex]3\times2=6[/tex]

[tex]6\neq 1[/tex]

Therefore, [tex]3\times2[/tex] DOES NOT equal to 1.

Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.)

Answers

The domain and range of the functions are Domain: (-∞,∞),{x|x∈R} and Range: [4,∞),{y|y≥4}.

What is vertex form of a quadratic function of graph?

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

From the graph, vertex is (h, k)=(0, 4) and (x, y)=(2, 0)

Here, y= a(x - h)² + k

0=a(2-0)+4

-4=2a

a=2

Substitute, a=2 and (h, k)=(0, 4) in y= a(x - h)² + k, we get

y=2(x-0)²+4

y=2x²+4

So, f(x)=2x²+4

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (-∞,∞),{x|x∈R}

Range: [4,∞),{y|y≥4}

Now,

(a) f(-3)= 2(-3)²+4=18

(b) f(2)= 2(2)²+4=12

(c) f(0)= 2(0)²+4=4

(d) f(3)= 2(3)²+4=18

Therefore, the domain and range of the functions are Domain: (-∞,∞),{x|x∈R} and Range: [4,∞),{y|y≥4}.

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PLEASE HELP ME ASAP!!!!!!!!!

In a school, 10% of students have 7 ball pens, 30% of students have 3 ball pens, 40% of students have 2 ball pens and 20% of students have 1 ball pens. What is the expected number of ball pens of a student?

Answers

The expected number of ball pens of a student is 2.4.

What is the expected number?

In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood that each outcome will occur and then summing all of those values.

The expected number of ball pens of a student can be calculated by taking a weighted average of the number of ball pens that each group of students has.

The weight for each group is the percentage of students that are in that group.

So, we can calculate the expected number of ball pens of a student by:

(10% * 7) + (30% * 3) + (40% * 2) + (20% * 1)

0.7 + 0.9 + 0.8 + 0.2

The expected value is also known as the population means and it can be calculated by summing the product of each outcome’s probability and its corresponding value.

Here, the outcome is the number of ball pens.

Hence, the expected number of ball pens of a student is 2.4.

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10. A list of data has one number: 20. What is the
mean, median, mode, and range?

Answers

Answer:

Mean: 20

Median: 20

Mode: 20

Range: 20

Step-by-step explanation:

Cos theta = -1/6 what is tan theta

Answers

Therefore , the solution to the given problem of trigonometry comes out to be tanθ = - √35 .

What is trigonometry?

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided shape may be reduced to a set of triangles. Remarkably intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complicated, exponentials, logarithms, and infinite series.

Here.

Given : Cosθ = -1/6

To find : Tanθ

Since cosθ is in second quadrant

Thus,

Cosθ = B/H

According to pythagoras theorem,

H²= B²+ P²

=> 6² = 1² + P²

=> 36-1 =P²

=>P= √35


So ,

value of Tanθ comes out to be

=> tanθ = - √35 /1

=>tanθ = - √35

Therefore , the solution to the given problem of trigonometry comes out to be tanθ = - √35 .

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