Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number

Answers

Answer 1

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

x = 27

The number is 27


Related Questions


1. There are 4 quarters in 1 dollar.
a) Shades 1/2 of a dollar.
b) How many cents is 1/2 of a
dollar?

Answers

25 cents you dumb stupid child
there are 50 cents in 1/2 of a dollar.

I need help with finding m & I’m pretty sure exercise 6 is # 6 help please

Answers

[tex]\text{Hello!}[/tex]

=+=+=+=+=+=+=+=+=+=+=

[tex]\text{Formula: } \boxed{5/4n - 7 = m}[/tex]

[tex]\text{ When n = 40, } \boxed{m = 43}[/tex]

[tex]\text{ Isolate for m:}[/tex]

[tex]\text{Begin by dividing both sides by 4/5 (multiply by reciprocal):}[/tex]

[tex]n = 4/5(m + 7 ) \text{ becomes } 5/4n = m + 7[/tex]

[tex]\text{Subtract 7 from both sides to isolate "m"}[/tex]

[tex]5/4n - 7 = m[/tex]

[tex]\text{Substitute n = 40 into the equation to solve for "m":}[/tex]

[tex]5/4(40) - 7 = m\\\\50 - 7 = m\\\\m = 43[/tex]

a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are in a 2 cups of cereal

Answers

Answer:

96 and 192 calories

Step-by-step explanation:

Given

72 calories in a 3/4 cup

Divide both by 3/4 to find the unit rate:

72:3/4 in 3/4:3/496 calories in 1 cup

Then multiply both by 2 to get the calories for 2 cups:

96*2 = 192 calories

Write the expression using a positive exponent 8^-5

Answers

Answer:

1/8^5 is the simplified answer  

Step-by-step explanation:

Solve for k.
12/k = 3

Answers

Answer:

k=3/12

k=.25

Step-by-step explanation:

we need to get k by itself

because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12

This eliminates 12 and leaves us with k=3/12

It is 4 the answer is 4

train can travel 1136 miles in 4 hours. What is the unit rate that this train is traveling per hour

Answers

Answer:

4544

Step-by-step explanation:

1136 *4 = 4544

What is the answer to this question?

Answers

Answer:

(-6,300)

Step-by-step explanation:

Answer:

(-6,300)

Step-by-step explanation:

(x,y)

then:

x = -6

y = 300

then:

(-6 , 300)

Find the first four terms of the sequence using the recursive formula. ​

Answers

Answer:

- 3, - 11, - 35, - 107

Step-by-step explanation:

Using the recursive formula with f(1) = - 3 , then

f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11

f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35

f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107

Thus the first four terms are

- 3, - 11, - 35, - 107

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,3) and (-1,5)

Answers

Answer: 2.83

Step-by-step explanation:

Use the distance formula

Can you please help me on 2,3,4, and 5? I will mark the brainliest plus 12 points for answering.

Answers

Answer:

2) Exact

3) Exact

4) Exact

5) Approximation

Step-by-step explanation:

If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b

Answers

Answer:

a = - 2, b = - 6

Step-by-step explanation:

Substitute the values of the zeros into the polynomial and equate to zero.

x² +(a + 1)x + b

x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is

4 - 2a - 2 + b = 0

2 - 2a + b = 0 ( subtract 2 from both sides )

- 2a + b = - 2 → (1)

x = 3 → 3² + 3(a + 1) + b = 0, that is

9 + 3a + 3 + b = 0

12 + 3a + b = 0 ( subtract 12 from both sides )

3a + b = - 12 → (2)

Subtract (1) from (2) term by term to eliminate b

5a = - 10 ( divide both sides by 5 )

a = - 2

Substitute a = - 2 into either of the 2 equations and evaluate for b

Substituting into (2)

3(- 2) + b = - 12

- 6 + b = - 12 ( add 6 to both sides )

b = - 6

Thus a = - 2 and b = - 6

the discriminant of the equation 7√3x²+10x-√3 is...... plzz i need it fast

Answers

Step-by-step explanation:

Hey there!

Here,

The equation is:

[tex]7 \sqrt{3 \: } {x}^{2} + 10x - \sqrt{3 } = 0[/tex]

Comparing the equation with ax^2+bx+c=0. We get;

[tex]a = 7 \sqrt{3} [/tex]

[tex]b = 10[/tex]

[tex]c = \sqrt{3} [/tex]

Now,

Discriminant= ?

We have,

[tex]discriminant = {b}^{2} - 4ac[/tex]

Put all values.

[tex]discriminant = {10}^{2} - 4 \times 7 \sqrt{3} \times \sqrt{3} [/tex]

[tex]discriminant = 100 - 4 \times7 \times 3[/tex]

[tex]discriminant = 100 - 84[/tex]

Therefore the discriminant = 16.

Hope it helps...

Can someone please answer this question. It’s not very difficult but I need to be certain I have the correct answer.

Answers

Answer:

12m^2(a)

Step-by-step explanation:

Multiply 3m by 4m for a paralolegram.

(l*w)

Write the equation of the line that passes through the given points (-6, 0) and (0, 3)

Answers

Answer:

Step-by-step explanation:

Put (-6,0) and (0,3) into a table of values

form of the equation: mx+b

x -6 0

y 0 3

3/-6=-0.5 (m)

3=b (the value of y when x=0)

equation: y=0.5x+3

a vendor sells hot dogs and a bags of chips. A customer buys 2 hot fogs and 4 bags of potato chips for $10. another customer buts 3 hot dogs and 4 bags of potato chips for 12 dollars. what does each item cost?​

Answers

Answer:

chips 1.50 cents hot dogs 2 dollars

Step-by-step explanation:

Hot do is 2 dollars because the same chips were put but 1 extra dog is 2 dollard and you divide from there and get 1.50 for chips

Name the x-intercept

Answers

Answer:

There are no x-intercepts

Step-by-step explanation: This is because the parabola does not pass through the x-axis at all.

Answer:

no x intercept

Step-by-step explanation:

The x intercept is the value where it crosses the x axis.

This functions does not cross the x axis

There is no x intercept

How can unit rates and proportional reasoning be used to solve problems?

Answers

This is what I got I hope it helps

Emily is thinking of a number, which she calls n. She finds 1/4 of the number and subtracts 3. Write an expression that represents Emily’s number.

Answers

Answer:

1/4n - 3

Step-by-step explanation:

1/4 of a number means multiplying 1/4 to n. So we can write 1/4n. Now we write the subtract 3 portion. 1/4n - 3.

The expression n = 1/4n - 3 shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Emily's number can be represented as:

n

One-fourth of Emily's number can be represented as:

1/4n

Subtracting 3 from one-fourth of Emily's number gives us:

1/4n - 3

Therefore, the expression that represents Emily's number is:

n = 1/4n - 3

This expression shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ7

Convert to standard form: y = 5x + 20

Answers

Answer:

5x - y = -20

Hope this helps.

bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. is this function continuous or discrete?

Answers

Answer:

2.80×50

Step-by-step explanation:

2.80×50 step by step

PLEASE HELP I WILL MARK YOU BRAINLIEST.

Answers

Answer:576cm

Step-by-step explanation:

Multiply length width

And height

Answer:

[tex] \boxed{ \bold{ { \boxed{ \sf{576 \: cubic \: centimeters}}}}}[/tex]

Step-by-step explanation:

Given,

Length of the rectangular prism ( l ) = 16 cm

Height of the rectangular prism ( h ) = 4 cm

Width of a rectangular prism ( w ) = 9 cm

Finding the volume of the rectangular prism. having length of 16 cm , width of 9 cm and height of 4 cm

[tex] \boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}[/tex]

[tex] \longrightarrow{ \sf{volume \: = 16 \times 9 \times 4}}[/tex]

[tex] \dashrightarrow{ \sf{576 \: {cm}^{3} }}[/tex]

Hope I helped!

Best regards! :D

6. Describe a pattern shown in this sequence, and use the pattern to find the next two terms.
7,15, 23, 31, 39, ?, ?, ...

Answers

Answer:

The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.

Step-by-step explanation:

7+8=15

15+8=23

23+8=31

31+8=39

39+8=47

47+8=55

Can someone help me ASAP pleaseee

Answers

Answer:

y = 8x - 26

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (4, 6)

m = [tex]\frac{6+2}{4-3}[/tex] = 8 , thus

y = 8x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 6) , then

6 = 32 + c ⇒ c = 6 - 32 = - 26

y = 8x - 26 ← equation of line

Which equation is equivalent to x + x - (-3) = 12?
A. x2 + 3 = 12
B. x2 – 3 = 12
C. 2x + 3 = 12
D. 2x – 3 = 12

Answers

Answer:

C.) 2x+3 = 12

Step-by-step explanation:

x+x=2x

2x-(-3) is 2x+3

Rate this brainliest

PLEASE HELP I WILL MARK YOU BRAINLIEST A rectangular prism’s base has an area of 40 cm. The prism’s height is 5cm. What is the volume of the prism?**

Answers

Answer:

200 cc

Step-by-step explanation:

Volume of the prism = Area of base * height

= 40*5

= 200 cubic cm

pls help asap i need the help

Answers

Answer:

-2.5 is correct answer

Ans.=


[tex]how muv \\ c \\ \\ \\[/tex]
how much does it cost to buy 10 computer mice that cost 24.75 apiece?​

Answers

How much does it cost to buy 10 computer mice (not the living thing :) ) that are $24.75 each.

10(24.75)=247.5

It will cost $247.5

It would be $247.50

Step-by-step explanation:

24.75 x 10

Show your work. Find the length of SU. (~Brainiliest will be awarded):)

Answers

Answer:

SU= 14

Step-by-step explanation:

if QU= 24 and RU= 19 then you can subtract 24-19=5. and if QR=RS=ST then you subtract 19-5=14

Poonam is five times as old as Shalini. The sum of their ages is 72

Answers

Answer:

Shalini = 12

Poonam = 60

Step-by-step explanation:

Let p = poonams age

Let s = shalini's age

p = 5s

p+s = 72

Substitute the first equation into the second equation

5s+s = 72

Combine like terms

6s= 72

Divide by 6

6s/6 = 72/6

s = 12

p = 5s =5*12 = 60

Shalini = 12

Poonam = 60

4x+ 2( 3 – 3x) = 6 answer

Answers

Answer:

0

Step-by-step explanation:

4x+ 2( 3 – 3x) = 6

4x+6-6x=6

6-2x=6

6-6=2x

0/2=x

x=0

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

[tex]4x+2\left(3-3x\right)=6[/tex]

Expand:

[tex]4x+2\times3-2\times3x=6[/tex]

[tex]4x+6-6x=6[/tex]

[tex]-2x+6=6[/tex]

Subtract 6 from both sides:

[tex]-2x+6-6=6-6[/tex]

[tex]-2x=0[/tex]

Divide both sides by -2:

[tex]\frac{-2x}{-2}=\frac{0}{-2}[/tex]

[tex]x=0[/tex]

Other Questions
what is 2 (x+2) + 3x =2 (x+1) + 1 What is the prime factorization of 96? 8 12 2 2 2 2 3 25 3 25 32 Which mineral is found in almost every type of rock? One native named Squanto, taught us how to fertilize our crops using fish -William Bradford (Massachusetts) This quotation describes the situation that settlers were faced with during the settlement of their colony in which year? How many amino acids are found in titin, a protein in musclecells? David bought 5 bags of rice for his restaurant. Each bag weighed 5.3 kilograms. How many kilograms of rice did he buy total If a boat goes from 30 km/h to 50 km/h over the next 4 h, what is its acceleration? 30-50/4 David swims at the gym every day. Where did Roman rule continue after the original Roman Empire fell? How were the British laws and taxes justified? Decide whether each underlined word is a direct object or an indirect object.At the time of the Chinese New Year, people honor their ancestorsFamilies clean their homes to sweep away bad luck.People give children red envelopes filled with money.Families cook dinner for their relatives. how did the solar plante formed Write any five differences between profession and professional education. Dwayne is an eighteen-year-old boy who just graduated from high school. He is starting to think about his future and where he sees himself years from now. His goal is to be a dentist by the time he turns thirty. Dwayne's goal is an example of which type of goal?a short-term goalan intermediate goala long-term goala vague goal ) One weekend, there were 98 pizzas ordered for the sophomore dorm. That weekend 19 customers ordered their pizza with just pepperoni, 16 customers ordered their pizza with just sausage, 20 ordered theirs with just onions, 15 ordered theirs with pepperoni and sausage, 9 ordered theirs with sausage and onions, 17 ordered theirs with pepperoni and onions, and 2 ordered theirs with all three items. How many customers ordered their pizza with pepperoni or sausage (or both) why might people have migrated from Aisa to the Americas .48 covert to fraction Which of the following is an example of an abiotic factor?A. PlantsB. SunlightC. FoodD. Animals Graph the image of the given triangle under a dilation with a scale factor of 4 and center of dilation (0,0). which action would be considered the most healthy change to one's eating habitsA.skipping breakfastB.drinking more sodaC.snacking on dried fruitD.limiting processed food