Find four consecutive multiples of three that the product of the first and third miners minus eight times the fourth number is negative 48

Answers

Answer 1

Answer:

The four consecutive multiples of three are 6, 9, 12, and 15

Step-by-step explanation:

let the first multiple of 3 = n

second multiple of 3 = (n + 3)

third multiple of 3 =(n + 6)

fourth multiple of 3 =(n + 9)

product of the first and the third = n(n + 6) = n² + 6n

eight times the fourth number = 8(n + 9) = 8n  + 72

The difference between the two =  n² + 6n - (8n  + 72) = -48

n² + 6n - 8n  - 72 = -48

n² - 2n =  -48 + 72

n² - 2n = 24

n² - 2n - 24 = 0

n²  - 2n - 24 = 0

n² + 4n - 6n - 24 = 0

n(n + 4) - 6(n + 4) = 0

(n - 6)(n + 4) = 0

n = 6    or  - 4

n should be a positive number, thus n = 6

The second multiple of 3 =  (n + 3) = 6 + 3 = 9

The third multiple of 3 =(n + 6) = 6 + 6 = 12

The fourth multiple of 3 = (n + 9) = 6 + 9 = 15

                                             

                                                     


Related Questions

A dentist surveyed ten 9 year old patients to see How Many Teeth they have lost so far. The results were: 4, 3, 4, 8, 8, 12, 9, 6, 10, and 6. What is the range for this data set ?

Answers

Answer:

9

Step-by-step explanation:

Summary: The range of a set of data is difference between the highest and lowest values. To find the range, first order the numbers from least to greatest. Then subtract the smallest value from the largest value in the set.

What is the smallest possible value for x when
1
2
x
plus 5 is greater than or equal to 3?

A.
–2

B.
–3

C.
–4

D.
–5

Answers

Answer:

a

Step-by-step explanation:

Can somebody pls help me

Answers

Answer:

this is a right angled triangle

so by the Pythagoras theorem

h2 = √ p2+. b2

h2 = √2 square + 6 square

h2 = 4+ 36

h2 = 40

h = √40

h = 20

Answer:

c=6.3cm

Step-by-step explanation:

6²+2²=c²

36+4=c²

40=c² -> (√40 ≈ 6.32)

6.32 ≈ 6.3

please help me with this ​

Answers

B, x=1

Explanation
14+7=21

Answer:

x=1

Step-by-step explanation:

given

21=14+7x

our objective is to get the variable (x) by itself

To do so we use inverse operations

so to get rid of the 14 we subtract 14 but whatever you do to one side you have to do to the other so we subtract each side by 14

14-14 cancels out

21-14=7

now we have

7x=7

now we want to get rid of the 7

to do so we divide by 7 but remember whatever we do to one side we have to do to the other side so we divide each side by 7

7/7 cancels out

7/7=1

we're left with x=1

hope this helps!

2=X - 3
X=
-5-4-3-2-1 0 1 2 3 4 5

(numbers above are a number line)

Answers

-5 -4 -3 -2 -1 0 1 2 3 4 5

2= X -3

2+3=5

X= 5

Ashley is saving for a computer that costs $500. She has saved up $120
so far. Which inequality represents the amount of money, m, Ashley still
needs to save? *
O m > $120
O m<$120
O m< $380
O m > $380

Answers

Answer:

m > $380

Step-by-step explanation:

First, the math:

$500-$120= $380.

She still needs $380.

Her $380 still needed is less than m, which gives us the last answer the most logical.

I hope this helped! Have a nice day.

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

a)  $498

b) $1052

c) $554

Step-by-step explanation:

to find the median of lower half of data:  find median of all the data, then find middle value from the minimum value to the median (not including median)

to find the median of upper half of data:  find median of all the data, then find middle value from the median to the maximum value (not including median)

interquartile range (IQR) is the difference of the two

HELP ASAP DUE LAST WEEK

Answers

Answer:

its 120 lol

do 3x10=30 and then 30x9=120

Answer:

The surface area is 294 inches squared

Step-by-step explanation:

9 x 3 = 27 x 2 = 54

10 x 3 = 30 x 2 = 60

9 x 10 = 90 x 2 = 180

54 + 60 + 180 = 294

Megan added 57+68 by breaking apart the number by place value. She made a mistake. Click on the first line in her work where there is a mistake

Answers

Answer:

Need to see the line to see where the mistake is

Step-by-step explanation:

Chris makes a drink by mixing lemonade with orange juice in the ratio 13:7. what percentage of orange juice is in the drink

Answers

Answer:ummmm

ummm

Step-by-step explanation:

HELP i have no clue how to do this hahah

Answers

C is the correct answer!2/59/?2 x ? = 99 ÷ 2 = 4.52 x 4.5 = 95 x 4.5 = 22.5

Find the percent of increase from 28 songs to 57 songs

Answers

Answer:

103.5714286%

or 103.57

What is the value of X

Answers

Answer:

112*

Step-by-step explanation:

The easy way to figure this out is to take the two numbers we do have and add them together. 50 + 62 = 112

We now now the complete angle if that line was not there in the middle. and sice that angle is the same at angle X it is automatically the same, 112. If you don't understand please comment and let me know.

I'm brain feels squishy.​

Answers

Answer:

x = 9 (it is seriously not drawn to scale)

Step-by-step explanation:

BC = DC^2 + BD^2 (Pythagorean theorem)

BC = 4^2 + 6^2

BC = 16 + 36

BC = 52^2

BC = 2sqrt13

BC/AB = DC/BD

(2sqrt13)/AB = 4/6

6(2sqrt13) = 4(AB)

12sqrt13 = 4AB

3sqrt13 = AB

AC^2 = AB^2 + BC^2 (Pythagorean Theorem)

AC^2 = (3sqrt13)^2 + (2sqrt13)^2

AC^2 = 117 + 52

AC^2 = 169

AC = 13  

AD + DC = AC

AD + 4= 13

AD = 9

please help if you can!

Answers

Given:

The figure of a triangle DEF.

To find:

The coordinate of image of given triangle after reflection over y-axis.

Solution:

The vertices of given triangle are D(1,4), E(4,3), F(2,0).

If a figure is reflected over the y-axis, then the rule of reflection is

[tex](x,y)\to (-x,y)[/tex]

Using this rule, we get

[tex]D(1,4)\to D'(-1,4)[/tex]

[tex]E(4,3)\to E'(-4,3)[/tex]

[tex]F(2,0)\to F'(-2,0)[/tex]

Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).

Simplify the expression. (x-4 x² + 7) - (-5x² + 5x - 3)​

Answers

x^2 - 4x + 10

sorry if there is no explanation but i hope this helps :)

Simplify
7 x 7 x 7 /
7 x 75
Please do it quick if you can

Answers

Answer:

7^3/7(75)

Step-by-step explanation:

This is this simplified answer. If you don't understand anything please let me know

Answer:

3675

Step-by-step explanation:

Use the order of operations. Just go from left to right. So, 7 times 7 equals 49. Then, 49 times 7 equals 343. Then, divided by 7 equals 49. 49 times 75 equals 3675. I hope this helps.

Solve the equation.
8-2x = -8x + 14


O x=-1

O x= -3/5

Ο χ=3/5

O x= 1

Answers

8 - 2x = -8x + 14

-2x + 8x = 14 - 8

6x = 6 / : 6

x = 1

pls help, solve for a.

Answers

A equals -1/2 is the right answer

answer ALL for ( brain-list, thanks, 5 star review)
don’t have to answer all* at least 2

Answers

Answer:

7a) 1/6

7b) 7/12

7c) 3/2 or 1 1/2

7d) 61/10 or 6 1/10

Step-by-step explanation:

If you need me to explain, please let me now in comments, otherwise, please mark this answer as brainliest

HELPPPPPPPPPPP ASAP PLSS

Answers

Answer:

0.98

Step-by-step explanation:

0.98 would be the most logical answer. If there is a 0.2 percent chance, it has a 20% chance of happening, which isn't likely. If there is a 0.5 percent chance, it is split so it can't really be likely or unlikely. Whereas having a 0.98 percent chance means there's a 98% of it happening.

Please help me heres the question: Ms. Zanetti receives text messages throughout her work day from her daughter’s day care provider. The possible number of text messages that she receives in a given day and the probabilities are given in the table.PLEASE SEND ANSWER ASAP

Answers

Answer:

blahaha

Step-by-step explanation:

hahaha

Can someone help me please

Answers

It’s a left side 8’5 right????

perform the division of monomials
18x⁶y²z⁵/6x³yz²​

Answers

Answer:

3x³yz³

Step-by-step explanation:

18x⁶y²z⁵/6x³yz²​ = 18/6 x⁶⁻³ y²⁻¹ z⁵⁻² = 3x³yz³

which number is greater then -3 A.-1 B.-3 C.-5 D.-7

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-1 = 1

You have 23 questions and each questions takes 2 minutes and two weeks to complete what is the longest time you have to finish it

Answers

Answer:

46 minutes

Step-by-step explanation:

Number of questions = 23

Time taken per question = 2 minutes

The longest time available to finish all questions :

Longest time will be ; if one spends all two minutes on each question ;

Then ;

Longest time = number of question * maximum time per question

Longest time = 23 * 2 = 46 minutes

Which graph represents the solution to the linear system
Sy=-3x-5
-5?
y= 3x +1

Answers

Answer:

Step-by-step explanation: both graphed is D

The graph D represents the solution of the system of the equation.

What is the system of equation?

One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given, the system of equation;

y = -3x - 5  {equation 1}

y = 3x + 1  {equation  2}

Add both of the equation:

2y = -4

y = -2

And x = 1

And the solution set is (1 , -2).

And only D have the solution set (1 , -2)

Therefore, the graph D represents the solution of the system of the equation.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ5

Find the angle measure of angle E in Triangle DEF if angle D is 34 degrees & angle E is 117 degrees.

Answers

Answer:

        m∠E = 29°

Step-by-step explanation:

The sum of the measure of the interior angles in a triangle is 180°

m∠D + m∠E + m∠F = 180°

34°  + m∠E + 117° = 180°

     m∠E = 29°

Ariana went shopping for a new video game.The listed price of the video game was $36 but the price with tax came to $37.08.Find the percent sales tax

Answers

Answer:

3% aka 0.03

Step-by-step explanation:

WILL MARK BRAINIEST 15 POINTS
A.120 cm^3 B. 117 cm^ C. 101 cm ^3 D. 350 cm ^3

Answers

Answer:

B. 117 cm

Step-by-step explanation:

you just multiply them :)

Answer:

117 cm³

(Answer B)

Step-by-step explanation:

The volume is the product of the base area and the height, that is,

V = 13 cm² * 9 cm = 117 cm³

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