The difference of four times a number and seven is 21

Answers

Answer 1

Answer: 4n - 7 = 21, n = 7

Step-by-step explanation:

A difference indicates subtraction of two terms. Four times a number indicates that a number of any value has to be multiplied by 4.

Hence, the equation that is represented by the question is

[tex]4x - 7 = 21[/tex]

We can also solve this equation (i.e., find the value of x that makes this equation true).

Adding 7 to both sides, we get

[tex]4x - 7 + 7 = 21 + 7[/tex]

Since the -7 and 7 add to 0, the equation becomes

[tex]4x = 28[/tex]

To get x by itself, we can divide both sides by 4, making the equation

[tex]x=7[/tex]

Hence, x must be 7 to make the equation true, or 7 is a solution to the equation.


Related Questions

-a^2+7b^4-2c^3 if a= -4 b= -2 and c=-3

Answers

Step-by-step explanation:

-(-4)²+7(-2)⁴-2(-3)³

=16+7(16)-2(-27)

=15+112+54

=181

The evaluation of the expression is 150.

What is an expression?

In mathematics, expression is the combination of variables with the application of operations and prescribed rules. It might take the shape of an equation, some numbers, etc.

The given expression is:

-a² + 7b⁴  -2c³

Substituting, a= -4 b= -2 and c=-3

-a² + 7b⁴  -2c³

= -(-4)² + 7(-2)⁴  -2(-3)³

= -16 + 7 x 16 + 54

= 150

Therefore, the value of the expression is 150.

To learn more about the expression;

brainly.com/question/24242989

#SPJ2

In a recent survey of 1,000 randomly selected registered voters in the town of Armstrong, 803
are in favor of installing bicycle safety signs. Based on the survey results, approximately how
many of Armstrong's 16,092 registered voters are in favor of installing bicycle safety signs?
A. 803
B. 3,170
C. 12,922
D. 15,092

Answers

Answer:

12,922

Step-by-step explanation:

estimate = 16,092 * 803/1,000 = 12,922

All the fractions that are equivalent to 4/5 A. 6/10 B. 8/10 C. 8/15 D. 10/15 E. 12/15

Answers

Answer:

B.8/10,E.12/15

Step-by-step explanation:

4/5×2=8/10

4/5×3=12/15

Which of the following expressions are equivalent to -9/j?
A: 9/-j
B: - -9/j
C: none of the above

Answers

Answer:

A

Step-by-step explanation:

-9/j  is the same as 9/-j

13x+7=215
×=
Solve the equation and enter the value of x

Answers

Answer:

x=16, have a great day

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

13x + 7 = 215

13x = 208 (Subtract 7 from both sides.)

x = 16 (Divide both sides by 13)

HELP PLEASE Find the surface area of the 3D shape.

Answers

Answer:

88 cm^2

Step-by-step explanation:

Answer:

Its totally (A) 88cm2

Step-by-step explanation:

Cause i got it right

Find the missing length. If needed, round to the nearest tenth.
B
6
7
5
Х
A
The value of x is

Answers

Answer:

x=5.8

Step-by-step explanation:

5/6=x/7

cross multiply

6x=35

x=35/6

x=5.8

help plz!! Marking most Brainly :)))

Answers

Answer: A

Step-by-step explanation:

12 black cards / 20 cards in all.

20 x 5 = 100, 12 x 5 = 60

Four crayons are packaged in a row, three primary colors are touching. If neither is red or blue, which crayon is first

Answers

Answer:

yellow

Step-by-step explanation:

Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.

Answers

Answer:

Step-by-step explanation:

[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]

Answer:   y  = - 3/2x + 5

Step-by-step explanation:

To write the equation in slope intercept form, you will have to find the slope and the y-intercept.

(-2,8) (8,-7)  

To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.

-7 - 8 = - 15

8 - (-2) = 10

   Slope:   -15/10   =  -3/2  

The slope is  -3/2

Now using the formula y=mx+b  , use one of the given points and the slope to solve for b , which is the y-intercept.

     8  = -3/2(-2) + b

    8 = 3 + b

   -3     -3

    b = 5

em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?​

Answers

Answer:

Average speed in km / h = 2.7 km/h

Step-by-step explanation:

Given:

Total distance = 54,000 m

Total time = 72,000 sec

Find:

Average speed in km / h

Computation:

Average speed = Distance / Time

Average speed = 54,000 / 72,000

Average speed = 0.75 m/s

1 m/s = 3.6 km/h

So,

Average speed in km / h = 0.75 x 3.6

Average speed in km / h = 2.7 km/h

SHAYNA FREEL PLANS TO BUY $17.45 WORTH OF STATIONERY SUPPLIES. IF THE SALES TAX IS 13%, HOW MUCH WILL SHAYNA PAY?

Answers

9514 1404 393

Answer:

  $19.72

Step-by-step explanation:

The sales tax is 13% of $17.45:

  0.13 × $17.45 = $2.27 . . . . . . rounded (up) to the nearest cent

Then the total Shayna will pay is ...

  $17.45 +2.27 = $19.72

What would the figure below look like after a reflection across the x-axis?

Answers

third one is across the x-axis

Write the fraction in simplest form. *
8/12

Answers

Answer:

2/3

Explanation:

/////////////

Mike bought 46 dozen eggs from the grocery store to bake some cakes how many eggs did mike buy

Answers

Answer:

552 eggs

Step-by-step explanation:

A dozen is equal to 12

Solve:

Multiply 46 by 12

Plz help! If you can’t answer all the questions it’s ok just answer at least one but all would be great! You will get a brainly!

Answers

Answer:

1. 1.5  2. 84000   4. 3.9

Step-by-step explanation:

Please help me one more time

Answers

Answer: 24

Yes (x-2) is a factor. There is a remainder.

Step-by-step explanation:

2³-8•2²+14•2-4

8-8•4+14•2-4

0•4+14•2-4

0+14•2-4

14•2-4

28-4

24

Hope this helps if so plz mark me brainly

Vaughn threw the shot put 9 yards at a track meet. The official used a tape measure to measure the distance in feet. How many feet did he throw the shot put?

Answers

Answer:

27 feet

Step-by-step explanation:

There are 3 feet in 1 yard. 9×3=27

Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them.WRITE AN EQUATION TO SHOW THE REALTIONSHIP between the independent and dependent variables?!?! ASAP I NEED ANSWER

Answers

Hi buddy I just got a call from you

8 more than twice a number is greater than negative 18. Solve the inequality for the unknown number.

Answers

Answer:

x > -13

Step-by-step explanation:

Let x be the number

2x+8 > -18

Subtract 8 from each side

2x+8-8 > -18-8

2x> -26

Divide each side by 2

2x/2 > -26/2

x > -13

Answer:

x > -13

Step-by-step explanation:

Let x be the number

2x+8 > -18

Subtract 8 from each side

2x+8-8 > -18-8

2x> -26

Divide each side by 2

2x/2 > -26/2

x > -13

A used automobile dealership recently reduced the price of a used compact car by 10​%. If the price of the car before discount was ​$18,100​, find the discount and the new price.
The discount in price is ​$
​Thus, the new price is ​$


Answers

Answer:

A. $1,810, B. $16,290

Step-by-step explanation:

A. $18,100 * 0.10 = $1,810

B. $18,100 - $1810= $16,290

Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
Yes
No
Maybe
Tell whether the ordered nair is a solution to the

Answers

Answer:

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

(-2,-1); 2x – 4y= -8

6x + 5y = -7

No

Please help right now which of the following is a major challenge to volcano preparedness​

Answers

Answer:

D or C I think

Step-by-step explanation:

How do someone overrun so much lava and disaster kits are eated by lava so

The answer is (C)
Hope this helps!

300x + 20 + 5x + 10 -40x2 =​

Answers

Step-by-step explanation:

[tex]305x + 30 - 80 \\ 305x - 50 \\ 305x = 50 \\ x = \frac{305}{50} \\ x = \frac{61}{10} [/tex]

Please help me I can’t figure out how to solve

Answers

i don’t know how to do it,, but use photomath, it’s perfect for these type of questions

Answer: The answer is 20

Step-by-step explanation:

x-9.5=10.5

  +9.5  +9.5

10.5+9.5=20

20-9.5=10.5

I hope this helps if so please mark brainliest

What is 9% of 2 trillion

Answers

Answer: 180000000000

Step-by-step explanation:

Answer:

180000000000

Step-by-step explanation:

a circle with the diameter of 40 inches. what is the area?

Answers

Answer:

A= 1256

Step-by-step explanation:

The formula for area of a circle is [tex]A=\pi r^{2}[/tex]

1. Diameter is DOUBLE of radius, so the diameter must be divided by 2. 40/2 = 20.

2. Then, plug in the values into the area formula. A= 3.14[tex](20^{2})[/tex]

3. Solve. A= 1256. (Remember that 20 squared is 20x20)


Can anyone help with condensing this?

Answers

Answer:

log 16x^7.

Step-by-step explanation:

log 4 + 2 log 2 + 7 log x

= log4 + log 2^2 + log x^7

= log (4*4*x^7)

= log 16x^7.

A cab company charges a $3.95 flat fee for rides up to 15 miles. For rides over 15 miles, the company charges the $3.95 flat fee and $1.25 per mile for every mile over 15 miles up to 75 miles. For rides over 75 miles the company charges a flat fee of $78.95 and $0.75 per mile over 75 miles. Using this information, write an equation that represents the total cost of the trip as a function of the number of miles traveled. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)

Answers

Answer:

There are three intervals depending on  the mileage:

0 - 15 miles15 - 75 milesMore than 75 miles

For each interval we have different cost and equation

Let miles = x, cost  = y, then the equations are:

0 < x ≤ 15       ⇒ y = 3.9515 < x ≤ 75     ⇒ y = 1.25x + 3.95x > 75             ⇒ y = 0.85x + 78.95

Step-by-step explanation:0 - 15 miles

15 - 75 miles

More than 75 miles

For each interval we have different cost and equation

Let miles = x, cost  = y, then the equations are:

0 < x ≤ 15       ⇒ y = 3.95

15 < x ≤ 75     ⇒ y = 1.25x + 3.95

x > 75             ⇒ y = 0.85x + 78.95

an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem)

Answers

Answer:

The height of the triangle would be

5

15

c

m

or

19.36

c

m

Step-by-step explanation:

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