8 less than the product of 6 and a number is the same as 5 more than the number

Answers

Answer 1

Answer:

The algebraic expression will be:

8-6n = 5+n

Step-by-step explanation:

Given the statement in English words

''8 less than the product of 6 and a number is the same as 5 more than the number''.

Let us break down the statement into an algebraic expression

FIRST PART

Let 'n' be the number

In Mathematics, product  means multiply

so

The product of '6' and a number 'n' = 6n

∵Because 6 is a coefficient and n is a variable

now

8 less than the product of 6 and a number 'n' will be: 8-6n

2ND PART

5 more than the number 'n' means we need to add '5' into a number 'n'

i.e

5+n

COMBINE STATEMENT

Thus, the combined statement ''8 less than the product of 6 and a number is the same as 5 more than the number'' can be written as:

8-6n = 5+n

Thus, the algebraic expression will be:

8-6n = 5+n

VERIFICATION:

Let us verify by finding the value of n

8-6n = 5+n

8-5 = 7n

7n = 3

n = 3/7

substituting n=3/7 in the equation

8-6n = 5+n

8 - 6(3/7) = 5+(3/7)

38/7 = 38/7

TRUE

Thus, the equation is true.


Related Questions

100 points! help please I need this

Answers

Answer:

5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)

An insurance company offers a term life insurance policy with a renewable premium. The first year premium is $900. If the premiums increase 5.5% each year, how much will her premium be in 7 years? A $1,286 B $1,241 C $1,308 D $1,416​

Answers

Answer:

The answer is B

Step-by-step explanation:

If first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

An insurance company offers a term life insurance policy with a renewable premium.

The first year premium is $900

The premiums increase 5.5% each year,

[tex]A=Pe^r^t[/tex]

5.5%=5.5/100 =0.055

[tex]A = 900(e)^0^.^0^5^5^\times^7[/tex]

[tex]A=900e^0^.^3^8^5[/tex]

A=900×1.46

A=$1308

Hence, if first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

To learn more on Percentage click:

https://brainly.com/question/24159063

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harrison spent 1 and 1/2 hours hiking 3/4 hours swimming and 1 1/3 hours fishing during his last camping trip. in total, how many hours did he spend doing there?​

Answers

Answer:

5 11/12 hours

Step-by-step explanation:

Make your common denominators 12. then when you add up you get 5 11/12.

Hope this helps and good luck :)

How many solutions are there to: 8x + 7 = 7 + 8x.​

Answers

Answer: X make the equation true

Step-by-step explanation:

Does this scatter plot show a positive trend, a negative trend, or no trend?​

Answers

it shows a negative trend

Answer:

no trend

a positive trend would start in the bottom left and go toward the top right

a negative trend would start at the top left and go town the bottom right

this is an example of no trend

Step-by-step explanation:

a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.

20356000000000000 scientific notation

Answers

Answer:

2.0356 × 1016

Step-by-step explanation:

A package of 5 pairs of insulated gloves costs ​$32.45. What is the unit price of the pairs of gloves ​?

Answers

Answer:

$6.49?

Step-by-step explanation:

divide $32.45 by 5

Abigail invested $29,000 in an account paying an interest rate of 2.1% compounded continuously

Answers

Answer:

6090

Step-by-step explanation:

Henry owns seven dogs each day splits 13 cans of dog food equal among the dogs what is the number of cans of dog food that each dog gets in one day?

Answers

Answer: 1.8 cans

Step-by-step explanation:

Answer:

1.85 cans of dog food.

Step-by-step explanation:

You need to divide 13 cans by 7 dogs.

The ratio of the number of boys to the number of girls in the cast of a school play is 1:5 which statement must describe the cast of the play

Answers

Answer:

We have 3 boys and 2 girls. This gives a total count of 5. So we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25. So we have 5 lots of the ratio

two football players start running towards each other each other from the opposite ends of a 100- yard football field. The faster player runs at a rate of 30 feet per second. The slower player runs 20 feet per second. After how many seconds will they collide

Answers

Answer:

600

Step-by-step explanation:

Multiply both numbers by 12.

240

360

what is 1/5 x 5 1/3? help please

Answers

Answer:

1  1/15

Step-by-step explanation:

(I think)

And I am not a very good explainer

(sorry)

Find the value of c -(x-5)(x+c)=x^2+2x-35

Answers

Answer:

Erm

Step-by-step explanation:

I think not

Answer:

c= ( 2 x + 7 ) ( x − 5 )  / 6 − x

Step-by-step explanation:

The book store is having a sale. Every book is $5 off, regardless of the original price.

The sale price for every book is $5 less than the original price.

Let x = original price

Let y = sale price

Which equation represents this situation?

A. y = × + 5

B. y = × - 5

C. y = 5x

D. y = × ÷ 5

Answers

Answer:

y=x-5

Step-by-step explanation:

sale price (y) is equal to the original (x) minus five dollars

Answer:

y = x - 5

Step-by-step explanation:

I took the test on A P E X

Please help me solve ASAP

Answers

the answer is a
hope this helped

Answer:

Step-by-step explanation:

first just look at the graph

its very obvious its a linear graph because it is going up in a straight line at a steady pace

so we can then just ignore the answers that say its not a linear function

then since its straight and not curved (curved graphs or parabolas are found when x has an exponent) its obvious it cant be one of the equations with x^2

so we are left with one the final answer

its equation is y = x + 2 and it is a linear function

hope this helps <3

ASAP please help me I need this quick
The question and answers are in the picture

Answers

Thé correct answer is the third one

A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48

Answers

Answer:

b

Step-by-step explanation:

The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, a motorboat moves across a lake at a constant speed.

Let x be the number of minutes and y be the total distance.

When it begins, it is 48 km from the shore.

Now, (x₁, y₁) =(0, 48)

After 10 minutes, it is 18 km from the shore.

So, (x₂, y₂) =(10, 18)

We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)

= (18-48)/(10-0)

= -30/10

= -3

Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get

48=-3(0)+c

c=48

Substitute, c=48 and m=-3 in y=mx+c, we get

y=-3x+48

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

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PLEASE HELP ME i’ll mark brainliest ! i added some extra points too

Answers

We want to find all the solutions to the equation [tex]f(x)=0[/tex]. Wich means that we want to find all values of [tex]x[/tex] such that [tex]y=0[/tex] (recall f(x)=y).

By looking at the graph, when does [tex]y=0[/tex]? That's right, exactly over the X axis!

The solutions to the equation are the X coordinates where the graph crosses the X axis.

They are -5,-2 and 4.

which is the estimate quotient for 530÷9​

Answers

59 ......................................................

Answer:

55

Step-by-step explanation:530 would be rounded to 550 and 9 would be rounded to 10

550 divided by 10 is 55

Pls give me brainliest if this helps

A model airplane is 18 centimeters long. If the actual airplane is
60 meters long, what scale was used to create the model.
QUICK PLZ ILL GIVE BRAINLIEST

Answers

Answer:

13 so yeah it correect

Which of the following is a linear function?

A
y=2/x + 11

B. 2
y=x + 6

C
y=1/2 (x-9)

Answers

Answer:

y=x+6

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

0

or

1

for each of its variables. In this case, the degree of variable

y

is

1

and the degree of variable

x

is

1

.

Which of the following terms describes the 3 in the expression 3x+7

Answers

Answer:

3

Step-by-step explanation:

Find the absolute maximum value of the function

Answers

Answer:

find ity yourself          -_______________-

Step-by-step explanation:

25 = 4x - 7, then x=

Answers

Answer:

x=8

Step-by-step explanation:

25=4x-7

+7        +7

32=4x

32/4  4x/4

8=x

what is the measure

Answers

Answer:

Step-by-step explanation:

t+t+10+t+20=180

3t+30=180

3t=180-30=150

t=150/3=50

t+20=50+20=70

exterior angle=180-70=110°

25 points for correct answer and giving brainliest

Answers

Answer:

y=20x + 4

x = 6 (max amount)

20(6) = 120

120 + 4 = 124

Max of 124.

y=20(0) + 4

y = 4

Min of 4.

Range

4<y<124 ; {4, ... , 124}

G

Ed is on a road trip. He has already traveled 206 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 636 total miles?

Answers

Answer:

B 66x+206=636

What is -6 (-4y + 8)

Answers

your answer is 24y-28

Answer:

24y-48

btw just downloaded a app called YHomework it shows the steps

PLEASE HELP MULTIPLE CHOICE i’ll mark brainliest i also added extra points !!

Answers

the correct answer is b:)

BRAINLIST SOFAST IF U HELP ME

Answers

Answer:

?

Step-by-step explanation:

?

what the last person said

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