One number is six more than the other. Their sum is 42. Find the numbers.

Answers

Answer 1

Answer:

18 and 24.

Step-by-step explanation:

x + (x + 6) = 42

x + x + 6 - 6 = 42 - 6

x + x = 36

2x = 36

2x/2 = 36/2

x = 18

42 - 18 = 24 The numbers are 18 and 24.

Answer 2

The required two numbers are 18 and 24 and number is 6 more than the the smaller number.

Given, that one number is 6 more than other.

Let the number be x.

Let the other number be x + 6 .

Rewriting in form of equation, that sum of two numbers is 42.

x + (x + 6) = 42

Subtract 6 from both sides.

x + x + 6 - 6 = 42 - 6

Combine like terms,

x + x = 36

2x = 36

Divide by 2 on both sides,

2x/2 = 36/2

x = 18

Thus one number is 18.

The other number is 6 more than 18,

18 + 6 = 24

Thus the two numbers are 18 and 24.

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Related Questions

Review the attachments. Review the process of solving an equation and fill in the blanks.

Answers

Answer:

1) Combine like terms

2) [tex]\sqrt[3]{x} =3[/tex]

3) cube both sides of the equation

4) [tex]4\sqrt[3]{27} +8\sqrt[3]{27}=36[/tex]

5) 4(3) + 8(3) = 36

Step-by-step explanation:

1) Combine like terms

2) [tex]\sqrt[3]{x} =3[/tex]

3) cube both sides of the equation

4) [tex]4\sqrt[3]{27} +8\sqrt[3]{27}=36[/tex]

5) 4(3) + 8(3) = 36

Which set of ordered pairs is made up of points on the graph of the function below? y=-4x+3 A.
(-1,7), (3,0), (1,-1), (-5,2)
B.
(7,-1), (3,0), (-1,1), (-5,2)
C.
(7,-1), (3,0), (1,-1), (2,-5)
D.
(-1,7), (0,3), (1,-1), (2,-5)

Answers

Answer:

D

Step-by-step explanation:

This y intercept is 3 because of mx+b formula. This automatically eliminates a b and c. The answer is D

James is trying to save money for college. When
he is 5 years old, his uncle puts $750 into a
savings account for him. The money should
increase by 5% each year until he needs it for
college.
Write an exponential model for this situation.

Answers

Answer:

[tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or  [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James

Step-by-step explanation:

exponential model:  [tex]y=ab^t[/tex],  where [tex]t[/tex] is the time (in years) from investment

when t = 0, y = 750

[tex]\implies 750=ab^0[/tex]

As [tex]b^0=1[/tex]

[tex]\implies 750=a[/tex]

Therefore, [tex]y=750b^t[/tex]

If the savings increase by 5% each year, then b = 105%.

105% = 105/100 = 1.05

Therefore, b = 1.05

So final model: [tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or, we can write this as [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James

please help i dont understand these and i need help
you have to find missing numbers with geometric mean​

Answers

Answer:

it is 200

Step-by-step explanation:

2 take 2 add 20 add a sec 0

[tex]\sqrt[3]{8.01}[/tex] Approximate

Answers

Square root of 8.01 = 2.83

2.83 * 3 = 8.49 (the is an approximate)

8.49 is your answer.

Hope that helps!

Ani and her friends recorded their bowling shoe sizes. Which two bowling shoe sizes occurred most often? How many of Ani's bowling friends have size 6 1/2 shoes?​

Answers

Answer:

5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

Step-by-step explanation:

5 and 5 1/2 have the most dots, which means the most friends have those shoes. There are no dots above 6 1/2, meaning no friends have that shoe size.

The solution is, 5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

What is data?

Data is a collection of discrete values that convey information, describing quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpreted. A datum is an individual value in a collection of data .

here, we have,

from the given data, we get,

the given information, gives,

5 and 5 1/2 have the most dots, which means the most friends have those shoes.

There are no dots above 6 1/2, meaning no friends have that shoe size.

Hence,  5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

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Nancy mistakenly measured the temperature of a heated liquid to be 48°C. The actual
temperature of the headed liquid was 50°C. What was the percent error?

Answers

Answer:

4.17% (nearest hundredth)

Step-by-step explanation:

percent change = [ (difference between initial value and final value) ÷ initial value] x 100

⇒ percent change = [ (50 - 48) ÷ 48 ] x 100 = 4.17% (nearest hundredth)

Determine the slope and the y-intercept of the following equation.
2x + 7y = 8

Answers

Answer:

the slope = -2/7

the y-intercept = 8/7

Step-by-step explanation:

Rewrite the equation to a slope-intercept form:

7y = 8 - 2x

7y = -2x + 8

[tex]y=-\frac{2}{7}x+\frac{8}{7}[/tex]

so the slope = -2/7

the y-intercept = 8/7

Convert from exponential form to logarithmic form:

Question 1 options:

log27(3)=3
log3(3)=27
log3(27)=327
log3(27)=3

Question 2 (1 point)
Translate from Logarithmic Form to exponential form: log2(8)=3

Question 2 options:

23=8
32=8
82=3
28=3

Question 3 (1 point)

Solve for the missing info: log4 __ =3

Answers

Answer:

1)[tex]3^3=27[/tex]

2)[tex]2^3=8[/tex]

3)64

Step-by-step explanation:

At a horseback riding competition in the Olympics, each rider receives a score from 2 judges’
scores. Maddy was one of the riders in the competition. If one judge awarded Maddy a score
of 87, and Maddy’s final score was 84.5, what score did the other judge award Maddy?

Answers

Answer: 82

Step-by-step explanation:

Let the score that the other judge gave Maddy be M

We get the equation

(87+M)/2 = 84.5

87+M = 169

M = 82

At a university 6 out of every 13 student live on campus if there are 156 students enroll how many lives on campus

Answers

Answer:

72

Step-by-step explanation:

156 ÷ 13 × 6 = 72

Hope this helps!

Good luck!

Answer:

156÷13=12(the number of 13s'in 156)

there are 12

12*6=72

seventy two students live on campus

Find a description this equation represents. Of the numbers​ 1, 2,​ 3, 4, and​ 5, which are solutions to the​ equation? 3x-10=2

Answers

Answer:

3x - 10 = 2

3x = 2 + 10

3x = 12

÷3 = ÷3

x = 4

Answer:

The answer is 4

Step-by-step explanation:

3*4=12

12-10=2

Identify the correct solution to the problem 5 x 3/4​

Answers

Answer:

3.75

Step-by-step explanation:

5 × 3/4

= 15/4

= 3.75

Hope it helps ⚜

If 9x + 12 = 48 what is x-10?

Answers

Answer:

x - 10 = -6

Step-by-step explanation:

9x + 12 = 48

Subtract 12 from both sides. 

9x + 12 = 48

      - 12  - 12

+ 12 and - 12 cancel out. 48 - 12 is 36. 

9x = 36

Divide 9 from both sides.

9x = 36

÷ 9  ÷ 9

9 ÷ 9 cancels out. x is left. 36 ÷ 9 is 4.

x = 4

Knowing x = 4, solve the equation.

x - 10 = ?


Plug in 4.

4 - 10 = -6

4 - 10 equals -6. This is your answer.

Hope this helped!

Answer:

i)

9x + 12 = 48

or,9x=48-12

or,9x=36

or,x=36/9

or,x=4

Thus,the value of x is 4.

ii)

x-10

=4-10(Putting x as 4)

=-6

Some people attended a small concert last Saturday. 70 of those people sat in the balcony
of the theater. This was 35% of the people who attended. How many people were at the
concert?

Answers

Answer:

  200

Step-by-step explanation:

If 'a' is the total attendance, the given relation is ...

  70 = 0.35a . . . . . . 70 is 35% of attendance

Dividing by the coefficient of 'a', we find the attendance was ...

  70/0.35 = a = 200

200 people were at the concert.

What’s the length of this missing leg?

Answers

Answer:

b = 4.5 mm

Step-by-step explanation:

using Pythagoras theorem:

a² + b² = c²

4² + b² = 6²

b² = 6² - 4²

b² = 36 - 16

b² = 20

b = √20

b = 4.5

Pythagoras theorem:

a² + b² = c²

4² + b² = 6²

b² = 6² - 4²

b² = 36 - 16

b² = 20

b = [tex] \sqrt{20}[/tex]

b = 4.5

Draw a model that shows 3 items being divided equally for 4 people.
How much will each person have?

FRACTION MODEL PLEASE PUT PICTURE TOO

Answers

Answer: Each person will have 3/4 of all the items

Step-by-step explanation: Each person will get 1/4 of each item. Because there are three items in all, each person will get 3/4 of all the items.

Answer:

Every person will get 3/4 of an item

Step-by-step explanation:

3 items split between 4 people is simply 3/4 item per person. Draw a shape like a circle, square, or rectangle 3 times and split each into 4 equal pieces. There should now be 12 total parts which 3 will be given to each person. Write a unique names or labels (like a letter or number) on different pieces for 4 different letters or symbols.

Not the best artist but model should look something like the image.

Question 3 of 10
Find the sum: (x2 + 2x + 3) + (3x2 + x + 1)
+
i need help

Answers

Answer:

Combine like terms

x^2 + 2x + 3 + 3x^2 + x + 1

4x^2 + 3x + 4

Solve for b in the equation: 2b + 3c = A

Answers

Answer:

b = (A - 3C)/2

Step-by-step explanation:

2b = A - 3C

b = (A - 3C)/2

how personality can affect communication?​

Answers

Answer:

Personality impacts how we prefer to communicate with people, as well as how we ourselves respond to information. The more we understand our own communication styles and those of the people we work with, the more effective we can be as leaders, teams, and colleagues

Step-by-step explanation:

Mariah fills 7 pillows with feathers. Each pillow weighs 3/4 pounds. What is the total weight of the 7 pillows?

Answers

3/4 x 7 = 5.25 lbs
The total weight of the 7 pillows is 5.25 lbs.

What would be the area of a triangle with a base of 5 cm and a height of 8 cm?

Answers

Answer:

20

Step-by-step explanation:

the area of a triangle is 1/2 base times hight (a=1/2bh)

Answer:

20 cm squared

Step-by-step explanation:

The formula is Area equals (base times height) divided by 2, so (5*8)/2=20

ayudaaaa y le regalo coronitaaaaaaaaaaaaa porfa​

Answers

Step-by-step explanation:

4. 0.9

5. 0.4

6. 0.21

hope this helps you.

Step-by-step explanation:

This is the way to do this I hope it will help you!!

which of the following is a true statement?

Answers

Answer:

3/8  less than 1/2 is correct

Step-by-step explanation:

Answer: C)
Explanation: Multiply right side with 4

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x+y = 24

3x+5y = 100

We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...

3x+3y=72

3x+5y=100

Now, subtract the first equation from the second equation...

2y=28

Divide both sides by 2

y=14

Plug this back into any of the equations to solve for x...

x+14=24

x=10

There were 10 three-point questions and 14 five-point questions

IL GIVE BRAINELST

Indigenous peoples ate only the meat from buffaloes and threw the carcass away.
True False

Answers

Answer:

false

Step-by-step explanation:

Answer:

False is the one you would choose.

Step-by-step explanation:


Convert. 5 mi into yards


Answers

Answer:

8800 yards

Step-by-step explanation:

1 mile contains 1760 yards so 1760·8=8800

or..

1760x

screenshot, don't really need aanswer, just to test if any of you guys can do it

Answers

Answer:

it's a hard one

Step-by-step explanation:

I don't know either

A line passes through the points (3,5) and (4,9), What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form

Answers

Answer:

y = 4x-7

Step-by-step explanation:

slope = difference of y-values / difference of x-values

= (9-5) / (4-3)

= 4/1

select a point to use in the slope-intercept form of a line:  y = mx + b where 'm' is the slope and 'b' is the y-intercept

(3,5)

5 = 4(3) + b

5 = 12 + b

-7 = b

slope is 4 and y-intercept is -7

y = 4x-7

Help me please I beg

Answers

I think if u want to find the average you take all of those credit hours and add them up, the u divide them by 4 because of the 4 numbers there are.

Work: 4+5+3+4= 16
16/4 = 4
But that is the average for the numbers on the chart.
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