is the integer r divisible by 3 ? (1) r is the product of 4 consecutive positive integers. (2) r < 25

Answers

Answer 1

Yes, the integer is divisible by 3.

To determine if r is divisible by 3, we must first determine the value of r. According to statement 1, r is the product of 4 consecutive positive integers.

This means that the 4 integers must be increasing by 1 each time. The smallest integer must be 1, and the 4th integer must be 4 higher than the first, making it 5.

The product of these 4 integers is 1 x 2 x 3 x 4 = 24, which is less than 25.

Since 24 is divisible by 3, r is also divisible by 3.

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Related Questions

(-8xy + 3x²-5y)+(4x²-2y+6xy)

Answers

Answer:

-2xy+7x^2-7y

i recommend m a t h w a y :)

Step-by-step explanation:

Answer:

7x^2−2xy−7y

Step-by-step explanation:

First Simplify

(−8x)(y)+3x2−5y+4x2−2y+6xy

=−8xy+3x2+−5y+4x2+−2y+6xy

Then Combine Like Terms:

=−8xy+3x2+−5y+4x2+−2y+6xy

=(3x2+4x2)+(−8xy+6xy)+(−5y+−2y)

=7x2+−2xy+−7y

help with all pleas
1. what is 3% of 84
2. 378 is what percent of 450
3. 8 is what percent of 128

Answers

Answer:

Hello There!!

Step-by-step explanation:

1. 2.52

2. 84

3. 6.25

hope this helps,have a great day!!

~Pinky~

Write 1 specific conditional statement of your
realizations from the pandemic that is happening
today. Then, write the other forms of it namely:
CONVERSE, INVERSE and CONTRAPOSITIVE.

Answers

Answer:

Plzzzz answer fastPlzzzz answer fast......

ginger paid 7.50 for 2 pounds of fish. how much did she pay per pound?

Answers

Answer:

$3.75 per pound

Step-by-step explanation:

7.50/2 =3.75

Hope this helps!!

Answer:

3 3/4

Step-by-step explanation:

she paid 3 3/4 because 7.50 ÷ 2 is 3 3/4

1. Paula has x cups of food in a container to feed her dogs. She pours 1.5 cups of food into their bowls. There is now 5.25 cups left in the container. Which equation would be used to solve this problem?

a. 1.5 - x = 5.25
b. 5.25 - x = 1.25
c. x - 1.5= 5.25
d. x + 1.5= 5.25


2. A box of donuts cost $9. You want to send donuts to the local nursing home. Set up an equation to find how many boxes you can send if you have $72.

a. 72 = 9 + b
b. 72 = 9 - b
c. 72 = 9b
d. 72 = 9/b


3. Jordan is purchasing a board to build a bookcase. He wants to divide the board into 1.75 foot sections and he needs 6 sections. Which equation can be used to solve this problem?

a. b/1.75 = 6
b. 1.75b = 6
c. b - 1.75 = 6
d. b + 1.75 = 6

Answers

1.D
2.C
3.B
If you need to know the amount let me know.

3x + 4(x + 1) when x = 4​

Answers

Answer:

32

Step-by-step explanation:

3 (4) + 4 [ (4) + 1 ]

12 + 4 (5)

12 + 20 = 32

HELPP PLSSS I WILL GIVE YOU BRAINIEST PLSS THIS IS MY THIRD TIME POSTING PLS HELP MEE What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(3,9) (1,1)

Answers

Answer:

the slope of the line is

4

Answer:

1/4

Step-by-step explanation:

From 1 to 3 is two that is the ride of the slope and the run is from 1 to 9 witch is 8 and that means 2/8 but you can minimize the fraction to 1/4

A telephone pole casts a 32-foot shadow, while a street sign next to the pole casts a 12-foot shadow. If the
telephone pole is 40 feet tall, what is the height of the street sign?
12

Answers

Answer: The height of street sign = 15

Step-by-step explanation:

At the same time, the angle made by the light on each object is the same.

Pole and street sign both standing vertical to the ground.

So triangle made by both of them are similar

The sides of similar triangles are proportional,

[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]

Hence, the height of street sign = 15

Find the GCF of
[tex] {6x}^{4} - {24x}^{3} [/tex]

Answers

Here ya go
Math.way is the way to go ^v^
Hope ya have a good one

Can someone please help me with math.

Answers

Answer:

4. (2,1) 5. (-2,1) 6. (8, 80)

Step-by-step explanation:

4.

2x + 4y - 2x + 2y = 8 - 2

6y = 6

y = 1

2x + 4 = 8

2x = 4

x = 2

(2,1)

5.

3x + 4y + 6x - 4y = -2 - 14

8x = -16

x = -2

-6 + 4y = -2

4y = 4

y = 1

(-2,1)

6.

multiply first equation by 4

4y = 40x

4y + 40x + 6y = 40x + 800

10y = 800

y = 80

80 = 10x

x = 8

(8, 80)

Which answer choice is an expression that represents Melissa's age in 9 years, when the variable a represents her current age?

Answers

Answer:

a + 9

Step-by-step explanation:

Given that :

Melissa's current age = a

Melissa's age in 9 years will be will be expressed as :

Melissa's current age + number of years from present time

Thus ;

Expression to represent Melissa's age in 9 will be :

a + 9

Thus ;

Melissa's in 9 years = a + 9

The speed of a truck, s, must be no less than 34 miles per hour.

Answers

Answer:

s = ≥34

Step-by-step explanation:

The speed of the  truck, s, must be no less than 34 miles per hour

is s ≥ 34.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, The speed of a truck, s, must be no less than 34 miles per hour.

Therefore, The speed of the truck must be greater than or equal to 34 miles per hour.

So, The inequality that represents this context is,

s ≥ 34.

learn more about inequalities here :

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2. Karina would like to go with Rhia to Michigan, but by the time she purchased her ticket, she
realized she will need to earn $1,593 to pay for the trip herself. Karina babysits and earns $15
per hour. How many hours will Karina need to babysit in order to earn all of the money she
needs for the trip to Michigan?

Answers

She will need to babysit for 213 hours

HURRY ITS A TIME TEST!!

Which of the following sets of three side lengths determine no triangle?
2 feet, 2 feet, 3 feet
2.5 feet, 3.5 feet, 6.5 feet
4.1 feet, 5.2 feet, 6.3 feet
5 feet, 7.4 feet, 12 feet

Answers

Answer:

https://www.cbsd.org/cms/lib010/PA01916442/Centricity/Domain/2623/Similar%20Figures%20Worksheet%202%20answer%20key.pdf

Step-by-step explanation:

HELP ME WITH LINEAR RELATIONSHIPS MATH PLEASE !!’

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

Pick two points on the graph. Points (-4, 3) and (4, 1).

[tex]\frac{x_{2} - x_{1} }{y_{2} - y_{1} }[/tex]

[tex]\frac{3-1}{-4-4}[/tex]

= [tex]-\frac{1}{4}[/tex]

Slope is [tex]-\frac{1}{4}[/tex].

The y-intercept is the point where the line intersects the y-axis. In this case, it's (0, 2). So +2.

y = -1/4x + 2

pls help it’s 12 POINTS!!!

Answers

Answer:

1=200

2=300

3=400

4=400

Step-by-step explanation:

Each year they get 100 more dollars. If you have any questions, just ask!

Please help with this problem.

Answers

Answer:

d = 28

r = 14

r² = 196

C = 87.92

Step-by-step explanation:

Given:

r = 14

To find diameter:

d = 2r

d = 2(14)

d = 28

To find r²:

14²

196

Circumference:

C = 2πr

C = 2(3.14)(14)

C = 87.92

PLS HELP ME

What would the measure of the third angle
equal?

Answers

Answer:

55

Step-by-step explanation:

180−43−82=55(angles of a triangle add upto 180)

What would the measure of the third angle equal?

Well given that all 3 vertices of a triangle are supposed  to be a sum of 180*

Hence this information side E is 82* and side H is 43* and when added up they equal 125 so then you would subtract 180 - 125 =  55\

Therefore, side T = 55*

Please help me on this! Name it like A, B, C, D

Answers

Answer:

B. -2_x_4÷3 this answer are not sure

Answer:

D

Step-by-step explanation:

-5 < 6x +3

-8 < 6x

-(4/3) < x

I use < to represent 'no no smaller than'

6 ( x/2 + 4) ≥ 9 hey guys whats the answer please

Answers

6 ( x/2 + 4) ≥ 9

Answer: x ≥-5

Step by step:

6(1x+4) ≥9
2
^
(Fraction)

3x +24 ≥9

3x ≥9-24

3x ≥-15

End answer: x ≥-5

HELP PLEASE!!!What is the measure of /_BAC?
50°
80°
100°
130°

Answers

Answer:

<BAC = 80

Step-by-step explanation:

All triangle angles equal 180

<BAC = x

x + 50 + 50 = 180

x + 100 = 180

x = 180 - 100

x = 80

I've been very confused for hours now on when to put an imfity sign when doing quadratic inequalities pls help​

Answers

Answer:

The symbol (∞) is read as infinity. and indicates that the set is unbounded to the right on a number line. Interval notation requires a parenthesis to enclose infinity. The square bracket indicates the boundary is included in the solution.

Step-by-step explanation:

ahh problem/question in the image ​

Answers

Answer:

60 clockwise

Step-by-step explanation:

anyone know how to do this please help ty !!! ​

Answers

Answer:

24. 7z^2(2z^3+1)

27. 7t (3t - 2)

30. 3a^2 (a^3-2a+4)

Step-by-step explanation:

You didnt specify what to do so i just assume this is a factorization question.

Mrs. Monaco made 144 cookies. She decides to bring 105 of them to school to share with her students, and the rest she will keep at home to eat. What percentage of the cookies did she bring to school to share with students? Round your answer to the nearest tenth.

Show all your work.

Answers

Answer:

40 is ur answer

Step-by-step explanation:

144-105=39

39 written as a percentage is 39%

39% rounded to nearest tenth is 40

Answer:

dhchdhduc

Step-by-step explanation:

Madeline wants to buy a car. The maximum loan she can get from the bank is
$14, 415. If Madeline has $1,085 available to make a down payment, what is the
highest valued car she can purchase?

Answers

Answer:

She can buy a 12000$ car

--heart if helped or brain me ;3--

Recently one morning the temperature at 7:00 AM was 44 degrees Fahrenheit. If the temperature rose an average of 2 degrees per hour and peaked at 3:00 PM, what was the temperature at 3:00 PM?

Answers

It would be 60 degrees at 3:00 PM

$25.00 With a 10% discount. $27.00 With a 20% discount. $26.00 Whit a 15% discount. Witch one is cheaper?

Answers

Answer:

i think its $27.00 with a 20% discount

Step-by-step explanation:

$25 with a 10% discount is $22.50, $26 with a 15% discount is $22.10, and $27 with a 20% discount is $21.60. Therefore the cheapest option is $27.00 with a 20% discount.

The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the larger number and y represent the smaller number. Which equations represent this situation?

Answers

Answer:

y= -x

y= 3/2 -5

Step-by-step explanation:

The sum of two numbers is zero.

x + y = 0

y = -x

Twice the smaller number subtracted from 3 times the larger number is 10.

Let x represent the larger number and y represent the smaller number.

Twice the smaller number: 2y

3 times the larger number: 3x

Twice the smaller number subtracted from 3 times the larger number is 10.

3x - 2y = 10

-2y = -3x + 10

y = 3/2 x - 5

The equations are:

y = -x

y = 3/2 x - 5

Hope I helped (p.s. maybe brainliest)

Answer:

A )

y = -x

y = 3/2 x - 5

Step-by-step explanation:

trust me

on the grid draw the graph of x+2y=7 for values of x between -2 and 3

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

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