7 less than 6 times a number is equal to 9 more than 4 times a number. What is the number?

Answers

Answer 1

Answer:

Write an equation the represents the words.

6x - 7 = 4x + 9

To solve for x (the number), isolate it from the other variables.

Subtract 9 from both sides.

6x - 7 - 9 = 4x

Combine like terms.

6x - 16 = 4x

Subtract 6x from both sides.

-16 = 4x - 6x

Combine like terms.

-16 = -2x

Divide both sides by -2.

-16/-2 = x

x = 8

The number is 8.

Hope this helps! :)

Answer 2

Answer:

The number is 8.

Step-by-step explanation:

Hello there!

We're given an unknown number, let's call this number n

We know that 7 less than 6 times n is equal to 9 more than 4 times n

Let's break that statement down, starting with "7 less than 6 times n"

6 times n should be 6n, since 6 * n = 6n

"7 less" means subtraction.

So "7 less than 6n" should be 6n-7

Now with "9 more than 4 times n"

4 times n should be 4n, as 4 * n = 4n

"9 more" means addition

So "9 more than 4n" should be 4n+9

The statement says that 6n-7 is equal to 4n + 9, and so when we write it as an equation:

6n - 7 = 4n + 9

Now we can solve the equation

Subtract 4n from both sides

2n - 7 = 9

Add 7 to both sides

2n = 16

Divide both sides by n

n=8

The number is 8

PS. we can substitute 8 back into the equation as n to see if it works:

6(8)-7=4(8)+9

Multiply

48-7=32+9

41= 32 + 9

41=41

It works :))

Hope this helps!


Related Questions

what is the answer help

Answers

Answer:

1

Step-by-step explanation:

y=-x-1

when it is perpendicular, it is the opposite then flip the fractions so 1 and if you flip 1 it is still 1

The sum of a two-digit number and the number obtained by reversing its digits is 121. Find the number if it’s unit place digit is 5.​

Answers

Answer:

65+56=121

Let no. be t5

reverse will be 5t

t*10 + 5 + 5*10 + t = 11t + 55 = 121 => 11t = 66 => t = 6

So no. = 65

Step-by-step explanation:

Solve pls brainliest

Answers

Answer:

a is 0.085 b is 19.6%

Step-by-step explanation:

1% = 0.01 so 8.5 = 0.085

0.20 = 20% so 0.196 = 19.6%

Caroline leaves her apartment and walks 45° north of west for 1000 feet and then walks 200 feet due north to go to the grocery store. How far and at what north of west
quadrant is Caroline from being at her apartment?

Answers

Answer:

  1150 ft W 52° N

Step-by-step explanation:

There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.

Using West as the reference for angles measured clockwise (toward north), the final position is ...

  1000∠45° +200∠90° = 1150.149∠52.063°

__

You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).

  c² = a² +b² -2ab·cos(C)

  c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7

  c ≈ √1322842.7 ≈ 1150.149

The angle difference from 45°N can be found using the Law of Sines.

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°

This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.

Caroline's final position is 1150 W 52° N in relation to her home.



Mary can swim 3 laps in 6
minutes. Use an equivalent ratio
to determine how many laps
Mary can swim in 18 minutes.
How many laps?

Answers

3:6
Times by 3
Which the answer is
9:18
That’s how you work out

Answer:

9 laps

Step-by-step explanation:

Set up a proportion

3 laps / 6 minutes = x [which represents laps]/18 minutes  Cross multiply

6*x = 3 * 18                 Combine

6x = 54                       Divide by 6

6x/6 = 54/6

x = 9

A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?

Answers

Answer:

y = 1/6x - 9

Step-by-step explanation:

The slope-form intercept formula is y = mx + b

David hikes 2 1/4 mile in 1/2 an hour. if he walks for 7 hours how far will he have gone?

Answers

31 1/2 miles is how much he would have traveled in 7 hours

Find the slope and the y−intercept of the line in the graph.



The slope is .

The y−intercept is .

Can anyone help me?

Answers

Answer:

slope: 5intercept: 4

Step-by-step explanation:

It works well to find the slope using points where the graph crosses grid intersections. We see two of those are (0, 4) and (1, 9). The slope formula tells us ...

  m = (y2 -y1)/(x2 -x1)

  m = (9 -4)/(1 -0) = 5

The slope is 5.

__

The y-intercept is the value of y when x=0. The point (0, 4) tells us ...

The y-intercept is 4.

You have 64 coins, consisting of pennies, nickels, and quarters. The value of the coins is $4.60. You also know that you have three times as many nickels as quarters. Find the quantity of each type of coins


Number of pennies =


Number of nickels =


Number of quarters =

Answers

Answer:

There are 20 pennies, 33 nickels and 11 quarts.

Step-by-step explanation:

Total number of coins = 64 Amount of money = $4.60 = 460 cents

x = pennies   y = nickels   x = quarters

y x 3 = x

x + y + z = 64 coins

x + 5y + 25z

x + 4z = 64

x + 40z = 460

x = 20  z = 11

y = 3z = 33

what is 5000000000000 divided by 11

Answers

Answer:
45.454.545,45454545

Answer:

45.454

Step-by-step explanation:

In a fruit basket there are 9 bananas, 4 apples, and 3 plums.



The ratio of bananas to apples is

Answers

Answer

The ratio of bananas to apples is 3 to 4

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

$6.75

Step-by-step explanation:

try try serving it's ok glad to help

Nick sketches the graph of y = 0.5' for x 20 y 0.5 of Make one criticism of his sketch.​

Answers

Answer:

the graph would just be a straight line going up at points (0, 0.5)

Step-by-step explanation:

This would have no slope

Anitha types 200 words in half an hour How many words will she type in 12 minutes , if typing speed remains the same

Answers

Answer:

she'll type 80 words.

Step-by-step explanation:

200/x=30/12

x=(200×12)/30=80

Explain the difference between (3) -n and (3) n

Answers

Answer:

you mean different b/n -3 and 3 ya ?ok -3 is get left of zero and positive 3 is (3>0) but -3<0

Tell whether the given value is a solution of the inequality.

Answers

Answer:

Step-by-step explanation:

8p < -3

  if p = -2

8* -2 < -3

  -16 < -3 TRUE so p= -2 is a solution to the inequality 8p < -3

Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.

Answers

Answer:

20.63%

Step-by-step explanation:

189-20.63%=150,0093

Answer:

20.63%

Step-by-step explanation:

% change = (New Value - Initial Value)/(Initial Value) * 100

                 = (150-189)/189 * 100

                 = -20.63%

Though the value comes as negative but it only indicates that it is a percentage decrease. As the question mentioned that the value is decreased, the final answer would be only 20.63%.

Hopefully this helps!!

The local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month. Last year, Paxton paid $105.75. How many months was Paxton a member of the pool?​

Answers

Solving a linear equation we can see that Paxton was a member for 5 months.

How many months was Paxton a member of the pool?​

We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.

f(x)= 18.25 + x*17.50

We know that Paxton paid $105.75, then we need to solve the equation:

105.75 = 18.25 + x*17.50

Solving that for x we will get:

105.75 - 18.25 = x*17.50

87.50/17.50 = x

5 = x

Paxton was a memeber for 5 months.

Learn more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Quick please!!!! 50 points!!

Answers

Answer:

2,1

Step-by-step explanation:

2,1 Correct 37$44634636444+64/+7$;+8$’codk odnicurn jfncurncjeuc

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

the answer is 4 :)) hope this helps


Khaled is preparing to paint his room. If it would take three workers 8 hours to apply two coats of
paint, how long would it take four workers to apply one coat of paint?

Answers

Answer:

20 minutes

Step-by-step explanation:

hope it helps u

plzz plzz plzz mark as brainliest

Answer: 3 hours

Step-by-step explanation:

To solve this problem, utilize something called the unit rate.

Because it takes three workers(x) 8 hours to apply two coats of paint, simply write: x/3 = 8 ÷ 2.

x/3 = 4

x = 4 * 3

x = 12

Thus, it takes one worker 12 hours, or 720 minutes to apply one coat of paint.  Thus, because the number of workers is multiplied by 4, divide the time spent by 4, to get 3 hours, or 180 minutes.

Hope it helps :) and let me know if you want me to elaborate.

N.B. This is an inverse relationship, as when the number of workers increases, the amount of time decreases.

Please help…I will award brainliest!

Answers

Answer:

y = - 3x + 15

SOMEONE PLEASE HELP IM FAILING HS

2-20. Evaluate each expression for x=-2 and y=-5.

a. 1-2x + 3y
b. -|x-y|
c. √x^2 + ^3√x^3
d. 1/2x+1/3y​

Answers

Answer:

a. 1-2(-2) + 3(-5) = 1-4 -15 = -18

b. -|-2--5| = |3| = -3

d. 1/2x+1/3y = 1/2 (-2) + 1/3(-5) = -1 - 5/3 = -8/3

Hope it works

Solve for the unknown angle

Answers

Answer:

would you mind uploading a pic? I would be glad to help you with this problem!!!!!!!! <3

Step-by-step explanation:

The new iPhone 13 Pro Max cost p dollars. T-Mobile is running a promotion that gives you a 45% discount. Write an expression to represent the cost after discount.

The expression that represents the cost after discount is ?

Answers

Answer:

0.55p

Step-by-step explanation:

Iphone before discount = 100%p

Iphone after discount = 55%p

Expression = (1 - 0.45)p

Expression = 0.55p

-Chetan K

please answer the question fast with step by step explanation​

Answers

I forgot how it is step by step but I think the answer is 15

.Question.[Mathematics]

5! + 5! =​

Answers

☆Answer :

5! + 5! = ?

= 5 × (5 - 1) × (5 - 2) × (5 - 3) × (5 - 4) × 2

= 5 × 4 × 3 × 2 × 1 × 2

= 120 × 2

= 240

[tex] \: \: \: \: \: \: [/tex]

[tex] = 120 \times x![/tex]

step by step explanation

[tex]5! \times 5![/tex]

use n! =n ×( n - 1 ) × ...× 2 × 1 to calculate the factorial

[tex]5 \times 4 \times 3 \times 2 \times 1 \times x![/tex]

calculate the product

[tex] = 120 \times x![/tex]

hope it helps

[tex] \: \: \: \: \: \: [/tex]

plsssssssssssssssssssssssssssssssssssssss

Answers

It’s B



Good luckkkkkkkkkkkkk
The answer would be A

Explanation:

896+ 384= 1,280

1,280 / 3,200 = .40 or 40%

find the gcf and the distributive property to each sum.19,22

Answers

Answer:

50 is sum of gcf its couldn't of 19 is 20

simplify: -4(x - 6) + 3(a - 7)

A. -4x + 3a - 3
B. -4x + 3a + 3
C. -4x + 3a + 45
D. -4x + 3a - 45 ​

Answers

We have -4(x - 6) + 3(a - 7) = -4x + 24 + 3a - 21 = -4a + 3a + 3

so the answer is B

ok done. Thank to me :>

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