Indicate whether each of the following numbers is divisible by 3.
Answer yes or no.
a. 27
b. 35
c. 123
d. 402

Answers

Answer 1

Answer:

a: yes

b: no

c:yes

D: yes

Step-by-step explanation:

Answer 2

inal answer:

To determine divisibility by 3, the sum of the digits in a number must be divisible by 3. The numbers 27, 123, and 402 are divisible by 3, while 35 is not.

Explanation:

To determine whether a number is divisible by 3, you can use the rule that a number is divisible by 3 if the sum of its digits is divisible by 3. Here are the step-by-step examinations for each of the numbers:

27: The digits add up to 2 + 7 = 9, which is divisible by 3. Yes, 27 is divisible by 3.

35: The digits add up to 3 + 5 = 8, which is not divisible by 3. No, 35 is not divisible by 3.

123: The digits add up to 1 + 2 + 3 = 6, which is divisible by 3. Yes, 123 is divisible by 3.

402: The digits add up to 4 + 0 + 2 = 6, which is divisible by 3. Yes, 402 is divisible by 3.


Related Questions

Please answer this correctly

Answers

Gary swam the fewest laps.
Hope this helps!

Answer:

Gary

Step-by-step explanation:

Edward more than Gabby

So Edward>Gabby

But Edward swam fewer laps than Noelle

So Noelle>Edward>Gabby

Gabby swam more than Gary

So Noelle>Edward>Gabby>Gary

10. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3
and 8 can attend a movie for $15. An adult ticket costs as much as the combined cost of a student ticket
and a child ticket. You purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23.

Answers

Answer:

Students ticket = $4

Child ticket = $1

Adult ticket = $5

Step-by-step explanation:

Let the price of the student ticket be $x and the price of a child ticket be $y.  An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).

1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. Then

[tex]2(x+y)+x+y=15[/tex]

2. If you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23, then

[tex](x+y)+4x+2y=23[/tex]

Now, solve the system of two equations:

[tex]\left\{\begin{array}{l}2(x+y)+x+y=15\\ \\(x+y)+4x+2y=23\end{array}\right.\Rightarrow \left\{\begin{array}{l}3(x+y)=15\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}x+y=5\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}y=5-x\\ \\5x+3(5-x)=23\end{array}\right.[/tex]

Solve the last equation

[tex]5x+15-3x=23\\ \\2x=23-15\\ \\2x=8\\ \\x=4\\ \\y=5-x=5-4=1[/tex]

Students ticket = $4

Child ticket = $1

Adult ticket = $5

Answer:

The ticket prices will as follows:

Students ticket = $4

Child ticket = $1

Adult ticket = $5

Step-by-step explanation:

Thinking process:

Let the price of the student ticket be $x and the price of a child ticket be $y.  An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).

1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. Then

2. If you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23, then

Now, solve the system of two equations:

Solve the last equation

Students ticket = $4

Child ticket = $1

Adult ticket = $5

The following table lists the masses, in grams, of the eight planets and the dwarf planet Pluto. Use the data to choose the correct answers in the item below.

Uranus has a mass that is approximately___ times greater than Mercury's.
1. 3,000
2. 300
3. 30
4. 3

Uranus's mass = 8.61 x 10^28
Mercury's mass = 3.302 x 10^26


Answers

Answer:

Option 2) 300

Uranus has a mass that is approximately 300 times greater than Mercury's

Step-by-step explanation:

Let

x ----> Uranus's mass

y ---->  Mercury's mass

we have

[tex]x=8.61*10^28\ units[/tex]

[tex]y=3.302*10^26\ units[/tex]

Divide Uranus's mass by Mercury's mass

[tex]\frac{x}{y}[/tex]

substitute the values

[tex]\frac{8.61*10^28}{3.302*10^26}=260.75[/tex]

Round to the nearest hundred

therefore

Uranus has a mass that is approximately 300 times greater than Mercury's

Answer:

The answer is 300

Step-by-step explanation:

what do the word enlightened mean​

Answers

Answer:

To understand something or someone completely

Step-by-step explanation:

It originates from the word enligtment

Pencils cost $0.24 each , and pens cost $.79 each. Mrs. Trevino bought 6 pencils and 5 pens. How much did she pay for the pencils and pens in dollars and cents?

Answers

Answer:

$5.39

Step-by-step explanation:

5 x .79 = 3.95

6 x .24 = 1.44

3.95 + 1.44 = 5.39

Answer:

For the pencils, she paid: $1.44

For the pens, she paid: $3.95

Step-by-step explanation:

Pencils cost $0.24each.

Pens cost $0.79 each.

Mrs. Trevino bought 6 pencils and 5 pens.

For the pencils, she paid: 6 × $0.24 = $1.44

For the pens, she paid: 5 × $0.79 = $3.95

How do you solve this? Please help

Answers

So (m o n)(8)= m(n(8)). n(8)=-1 and m(-1)=0. So (m o n)(8)=0

Convert the following Celsius degrees to Fahrenheit 35° F

Answers

Answer:

Step-by-step explanation:

95 degrees farighite

Find the domain of the function.
g(x) = 1 - 2x^2

Answers

The domain of the function will be Domain: ( − ∞ , ∞ ) , { x | x  ∈  R }.

What is the domain of the function?

The entire range of independent variable values is the domain of a function. In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

The given quadratic function g(x) = 1 - 2x² will have a domain from negative infinity to positive infinity. The graph of the function is also attached with the answer below.

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I am a 2-digit number. The sum of my digits is 11. I am divisible by both 4 and 7

Answers

Answer:

56 or 84

Step-by-step explanation:

Answer:

It's 56

Step-by-step explanation:

We have 2 digit number the sum of digits is 11  and it is divisible by 4 and 7 so, first possibility is 4×7=28 ; but the sum of digits is 11; so,the sum of                digits is 2+8=10 which does not satisfies the first constraint next possible 2 digit number is 56: since the sum of digits is 5+6=11, 56 ÷ 7 = 8 , 56 ÷ 4 = 9

2 1/8 x 2 6/9

(Multiplying fractions)

Answers

Answer:

17/6

Step-by-step explanation:

Start off with

2 1/8 * 2 6/9

Convert mixed number into improper fraction

17/8

reduce fraction with 3

17/8 * 2 * 2/3

Reduce numbers with GCD 2

17/4 * 2/3

Repeat

17/2 * 1/3

Multiply fractions

17*1/2*3

You then get...

17/6!

[Alternative forms: 2 5/6, 2.83]

If a rectangle has a side with vertices located at (0, -8) and (10,-8), the length of the side is:

Answers

Answer:

10 units.

Step-by-step explanation:

That would be the difference in the x coordinates as the y coordinates are both -8.

So it's 10 - 0 = 10 units.

Phillip write an integer that is less than -2 and greater than -3.5 Which integer did he write?​

Answers

The answer would be -4

Answer:

The integer he wrote could be between -3.4 to -2.1, you could just say -3

x/5 -8=4 find the value of x

Answers

Answer:

x=60

Step-by-step explanation:

I'm assuming you meant this: (x/5)-8=4

In which case you would add 8 to both sides to get rid of the 8 on the left (your goal is to get x by itself so you want to move the numbers on the x side to the other side of the equal sign)

(x/5)=12

Then you would multiply 5 on both sides to get rid of the fraction with the 5 on the bottom on the left side.

x=60

There's your answer.

A pet shop has 562 gold fish. They use tanks that hold up to 18 fish in each. How many tanks will he need to buy to fit all the goldfish?​

Answers

Answer:

32 tanks

Step-by-step explanation:

since 562/18

is 31.222222...

You would have to round up because you the limit is 18 fish. You would need 32 tanks to fit all the fish

Answer:

32

Step-by-step explanation:

You have 562 gold fish and you need to have 18 in each tank, how many tanks do you need?

You first need to start with dividing the gold fish amount to the amount that can fit in each tank, (562 divided by 18 = 31.22222222222222). Then you multiply 18 by 31 and you get 558. This is obviously not as much goldfish as you had before, so to fix this you add another tank which makes 32 tanks, but you minus 562 from 558 and you have only 4 fish in the last tank.

Hope this helps! :)

720/91.2 = c/0.513 pleasse solve

Answers

720

91.2

=

c

0.513

Answer:

c

=

4.05

Answer:

c =  4.05  

Step-by-step explanation:

Given: 720/91.2 = c/0.513 .

To find: solve

Solution: We have given that  [tex]\frac{720}{91.2}[/tex]= [tex]\frac{c}{0.513}[/tex]    

 On cross multiplication

 [tex]\frac{720}{91.2}[/tex]= [tex]\frac{c}{0.513}[/tex]

91.2 * c = 0.513 * 720  

91.2 * c = 369.36

On dividing both side by 91.2

 c = [tex]\frac{369.36}{91.2}[/tex]

c =  4.05  

Therefore ,  c =  4.05  .

This year, a small business had a total revenue of $45,000. If this is 25% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

Let R = total revenue the year before

R = 45,000 x 0.25 + 45,000

R = 11,250 + 45,000

R = $56,250

Steps to solve the equation
-2(x-4)+8=2

Answers

Answer:

x=-1

Step-by-step explanation:

-2(x+4)+8=2

1) Use the Distributive property:

-2x-8+8=2

2) Combine alike terms:

-2x=2

3) Divide both sides by -2:

x=-1

Which two whole numbers lies between the square root of 210?

Answers

Answer: 6√35

Step-by-step explanation:

since the √ 210 cannot come out into an equal number then you have to try to get two numbers closest to answering 210 to get it except you have to do 6 square root of 35. I hope this helps you!!!

Final answer:

The two whole numbers between which the square root of 210 lie are 14 and 15.

Explanation:

The square root of 210 is approximately 14.49. Since you are looking for the two whole numbers between which this value lies, you need to find the next higher and lower whole numbers from this value. These would be 14 and 15, as 14.49 is more than 14 and less than 15.

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Which statement is true?


A. Figure A is congruent to figure B.
B. Figure B is congruent to figure C.
C. Figure C is congruent to figure D.
D. Figure D is congruent to figure A.

Answers

Answer:

B. Figure B is congruent to figure C.

Step-by-step explanation:

Figure D is dilated about a quarter of the other two, and Figure A is out of the question because it is dilated about twice their size, so with that being said, you have your answer.

I am joyous to assist you anytime.

Answer:

b

Step-by-step explanation:

2.4 = m + 3.7 linear equations solving

Answers

Answer:

m = -1.3

Step-by-step explanation:

subtract 3.7 from both side so it gets you 2.4-3.7 = m

then you will get -1.3

The answer should be M=-1.3

PLEASE HELP AND EXPLAIN!!!
I WILL MARK BRAINLIEST AND THANK YOU!!!

If DF = 42, find DE.

Answers

Answer:  The required length of DE is 29.

Step-by-step explanation:  We are given that DF = 42 in the figure shown.

We are to find the length of DE.

From the figure, we note that

[tex]DE=7x+1,~~EF=4x-3.[/tex]

According to the given information, we have

[tex]DF=42\\\\\Rightarrow DE+EF=42\\\\\Rightarrow 7x+1+4x-3=42\\\\\Rightarrow 11x=42+2\\\\\Rightarrow 11x=44\\\\\Rightarrow x=\dfrac{44}{11}\\\\\Rightarrow x=4.[/tex]

Therefore, we get

[tex]DE=7x+1=7\times4+1=28+1=29.[/tex]

Thus, the required length of DE is 29.

The length of DE using the measurements DF = 42, DE = 7x + 1 and EF = 4x - 3 is 29 unit.

given that,

the length of DF = 42

length of DE = 7x + 1

and, length of EF = 4x - 3

Now, from the figure

DE + EF = DF

Plugging the values back to the formula as

7x + 1 + 4x - 3= 42

Combine like terms

11x - 2 = 42

add 2 both side

11x = 42 + 2

11x = 44

Divide both side by 11

x= 44/11

x= 4

So, the length of DE is

= 7x + 1

= 28 + 1

= 29

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What is -14=3x+x-2 can someone please help

Answers

Answer:

[tex]\large\boxed{x=-3}[/tex]

Step-by-step explanation:

[tex]-14=3x+x-2\qquad\text{add 2 to both sides}\\\\-14+2=3x+x-2+2\qquad\text{combine like terms}\\\\-12=4x\qquad\text{divide both sides by 4}\\\\\dfrac{-12}{4}=\dfrac{4x}{4}\\\\-3=x\to x=-3[/tex]

The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.


Choose the correct formula.


A. h=Vπr2

B. h=Vπr2

C. h=Vr2π

D. h=Vπr2


Part B

Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.


h = __ cm

Answers

Answer:

Part A) [tex]h=V/(\pi r^{2})[/tex]

Part B) [tex]h=4\ cm[/tex]

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

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

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

[tex]V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})[/tex]

Simplify

[tex]V/(\pi r^{2})=h[/tex]

Rewrite

[tex]h=V/(\pi r^{2})[/tex]

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

[tex]V=36\pi\ cm^3[/tex]

[tex]r=3\ cm[/tex]

substitute in the formula and solve for h

[tex]h=36\pi/(\pi 3^{2})[/tex]

[tex]h=4\ cm[/tex]

Final answer:

To solve for h in the formula V = πr2h, divide both sides of the equation by πr2 to isolate h. The height of a cylinder with a volume of 36π cm3 and a base radius of 3 cm is 4 cm.

Explanation:

To solve the formula V = πr2h for h, we need to isolate h on one side of the equation. To do this, divide both sides of the equation by πr2. This gives us the equation h = V/(πr2). Therefore, the correct formula for solving for h is h = V/(πr2).

To find the height of a cylinder with a volume of 36π cm3 and a base radius of 3 cm, substitute the given values into the formula h = V/(πr2). This gives us h = 36π / (π * 32). Simplifying further, h = 36 / 9 = 4 cm.

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37 +(92÷3) what does it equal??​

Answers

The answer 67.6 and in fraction form it is 203/3

2y-3=3y

i need help

Answers

Answer:

y = -3

Step-by-step explanation:

First, subtract 2y from both sides, (3y - 2y) and that should give you the equation, -3 = y. And that's your final answer.

2y-3=3y

Move 2y to the other side

Sign changes from +2y to -2y

2y-2y-3=3y-2y

-3=y

Answer: y=-3

What is the solution of 12b=18

Answers

Answer:

b=18/12

b=3/2

so practice more

A blueprint of a shopping complex shows the bottom edge of the roof to be 93 feet above the ground. If the roof
rises to a point 171 feet above the ground over a horizontal distance of 6.5 yards, what is the slope of the roof?
12
O
1.2
08

Answers

Slope = (rise) / (run)

Rise = (171-93) = 78 ft

Run = 6.5 yards = 19.5 ft

Slope = (78 / 19.5)

Slope = 4

The correct figure is not included in the list of choices.

The slope is 4.

What is slope?

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

given:

roof rises= 171 feet above the ground

horizontal distance = 6.5 yards

using,

Slope = (rise) / (run)

Rise

= (171-93)

= 78 ft

Run

= 6.5 yards

= 19.5 ft

Slope

= (78 / 19.5)

= 4

hence, the slope is 4.

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Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s house and Preston’s house. Give the y-coordinate of Preston’s house.

Answers

The formula for midpoint is

([tex]\frac{x_{1}+x_{2}}{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex])

Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.

In this case:

[tex]x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown[/tex]

^^^Plug in these number into the formula given above...

([tex]\frac{3+x}{2}[/tex], [tex]\frac{-2 + y}{2}[/tex])

To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation ([tex]\frac{3+x}{2}[/tex]) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:

[tex]\frac{3+x}{2}[/tex] = -5

3 + x = -5 * 2

3 + x = -10

x = -10 - 3

x = -13

To find what y is (a coordinate of Preston's house) you must take the  y-value part of the midpoint equation([tex]\frac{-2 + y}{2}[/tex]) and set it equal to the y-value of the midpoint (3). Then you must solve for y:

[tex]\frac{-2 + y}{2}[/tex] = 3

-2 + y = 3 * 2

-2 + y = 6

y = 6 + 2

y = 8

The coordinate of Preston's house is:

(-13, 8)

Hope this helped!

~Just a girl in love with Shawn Mendes

How do you write 549,867 in expanded form?

Answers

In expanded form, 549,867 would be written like this: 500,000 + 40,000 + 9,000 + 800 + 60 + 7. This is how it is supposed to be.

Hope this helped!

Nate

Answer:

(5x100,000) + (4 x 10,000) + (9 x 1,000) + (8 x 100) + (6 x 10) + (7 x 1)

Step-by-step explanation:

multiply the number by the place value.

Solve for x: 6x + 3 = 5x − 8

Answers

Answer:

x = -11

Step-by-step explanation:

First subtract 5x from both sides (6x - 5x) and the equation turns into: x + 3 = -8. Then subtract 3 from both sides, -8 - 3, and that equals -11. And so the final answer is -11.

The value of x from the equation 6x + 3 = 5x − 8 is -11.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given equation ; 6x + 3 = 5x − 8

Solve for x:

6x + 3 = 5x − 8

First subtract 5x from both sides

6x + 3 - 5x = − 8

x + 3 = -8

Then subtract 3 from both sides;

x = -8 - 3

x = -11

Thus, the final answer is -11.

Therefore, The value of x from the equation 6x + 3 = 5x − 8 is -11.

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