Two positive numbers have a difference of 8. The larger number is two more than twice the smaller. Find the two numbers

Answers

Answer 1
Answer:   6 & 14

Step-by-step explanation:

Let the bigger number be 'p' and the smaller number 'p'.

Since the numbers have a difference of 8, then  p - q = 8

& since the larger number is two more than twice the smaller, then

                                                                                                        p = 2q + 2

⇒   (2q + 2) - q = 8                       [by substituting for equation for p]

                     q = 6

Since q = 6,

⇒  p - 6 = 8

          p = 14

∴ the smaller number is 6 and the bigger 14


Related Questions

A piece of iron rod costs $60. If the rod was 2 meter shorter and each meter costs $1 more, the cost would remain unchanged. What is

the length ofthe rod?

Answers

Answer:

the length is $58

Step-by-step explanation:

In the equation y= 2 + 7, what is the value of y when the value of x is 26?

Answers

Answer:

I think

the value of y will be -24

..... when the value of x is 26

h = -16t2 + 4t + 4
I don’t know how to approach this

Answers

Answer:

0.64 seconds

Step-by-step explanation:

Some extra unneeded information provided in this problem. Simply find t when h is equal to zero. (Factor out -4 if it makes it easier.)

0 = -16t^2 + 4t + 4

Solve using the quadratic equation:

t = ~0.64

Ryan borrowed $725 at an interest rate of 6.25%. How much interest will be pay if it takes 2 years to pay off his loan?

Answers

Answer:

$830 sana maka tulong po salamat

Find two consecutive odd integers such that
4 times the smaller integer is 19 less than 5
times the larger integer.

Answers

Answer:

9 and 11

Step-by-step explanation:

let the consecutive odd integers be n and n + 2 , then

4n = 5(n + 2) - 19 , that is

4n = 5n + 10 - 19 ( subtract 5n from both sides )

- n = - 9 ( multiply both sides by - 1 )

n = 9 and n + 2 = 9 + 2 = 11

The 2 integers are 9 and 11

Two angles are supplementary if their sum is 180". The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find
the measure of each angle
Please help give the smaller and bigger angle measure

Answers

Answer:

Step-by-step explanation:

2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees

Let the smaller angle be x

The larger angle will be 3x+8

X+3x+8=180

4x=180-8=172

X=172/4

X=43

3*43+8= 137

how to solve 125×-1=25×+3​

Answers

Answer:

x=1/25

Step-by-step explanation:

Evaluate the expression when x = 6 and y = 2:

Answers

Answer:

[tex] \frac{3x + 4}{y} = \frac{3(6) + 4}{(2)} \\ = \frac{18 + 4}{2} = \frac{22}{2} \\ = 11[/tex]

A line segment has endpoints (0,4) and (5,6).
What are the coordinates of the midpoint?
A. (5/2, -5)
B.(0,6)
C. (3,9)
D. (5/2, 5)

Answers

Answer:

D.

Step-by-step explanation:

because if its 0.6 then the line segment of 0.4 divided by 5.6 is you're mom

Simplify the expression, show all of your work:
18 : 2.3
5 - 2

Answers

Answer:

9

Step-by-step explanation:

Numerator:18 divided by 2=9       9 times 3= 27

Denominator:3

27/3=9

What is the rate of change for the equation y = 2x + 100?

Answers

The rate of change is 2.

good luck :)

Which of the following is the correct graph of the solution to the inequality -82 -5x + 2 > -38?

Answers

Answer:

8.4

Step-by-step explanation:

+82

-5x+2>44

-2

-5x>42

divde by +5

x=8.4

m/_GFN = 4x+10, m/_NFE= 14x+3, and m/_ GFE=157°. Find m/_NFE. PLEASE EXPLAIN Thoroughly!!

Answers

Answer:

4x+10+14x+3=157

18x+13=157

18x=157-13

18x = 144

X = 144 /18

X= 8

NFE= 14x+3

= 14(8)+3

=112+3

=115

Step-by-step explanation:

50 Points!! I'M CONFUSED SO PLEASE HELP

Answers

Answer:

x=5

Step-by-step explanation:

Only pay attention to one transversal at a time

two angles are congruent so

9x+12=13x-8

9x-13x=-8-12

-4x=-20

4x=20

x=5

how do i solve (4+6i)+(8-10i)?

Answers

Answer:

12- 4i

Step-by-step explanation:

(4+6i)+(8-10i)

4+6i+8-10i

4+8+6i-10i

12-4i

guys pls help me!!!!!!!

Answers

Answer:

The answer is t = 17

Step-by-step explanation:

Sum of angles on a straight line = 180⁰

(2t -7) + 90 + 49= 180

(2t -7) +139 = 180⁰

2t -7) = 180 - 139

2t - 7 = 41

2t = 41 - 7

2t = 34

Divide both sides by 2

t = 17

Which of the following is equivalent to this expression?-3x(-y+4)


-12x-3xy


-12x+3xy


12x+3xy


12x-3xy


-12x-3xy


-12x+3xy


12x+3xy


12x-3xy

Answers

Answer:

The answer is A

Step-by-step explanation:

Hope it helps!

Please help!! Will make brainliest!

Answers

Answer:

A

Step-by-step explanation:

I think its A.. correct me if im wrong

Answer:

B

Step-by-step explanation:

Ataxi service charges you $7.50 plus $0.60 per minute, m. for a trip to
the airport. The total charge is $13.50. Write an algebraic equation you
can use to determine the number of minutes it took to get to the airpor
take? (you do not need to solve)

Answers

Answer:

6

Step-by-step explanation:

13-7 =6

$6.00÷0.60¢ = 10

(I may be hella off, but it's worth a shot)

90-80*2-2
plz helpppppppppppppppppp

Answers

Answer:

18

Step-by-step explanation:

90-80=10

10*2=20

20-2=18

Answer:

90-80 x 2-2 = 0

Step-by-step explanation:

Firstly. subtract 80 from 90 to get 10.

90-80= 10

Then subtract 2 from 2, to get 0.

2-2=0

Lastly, for your answer multiply 10 by 0 to get 0.

10 x 0 = 0

,  Hope this helps :)

Have a great day!!

Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?

Question options:

2 units

12 units

4 units

6 units

Answers

The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.

Then the length of line segment DE will be

We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have

BC = 2BE

Then the ratio of their corresponding sides will be

 BE/BC = DE/AC

BE/2BE = DE/24

       DE = 24/2

       DE = 12

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

What is the result of gaining 10 pound then losing 20

Answers

Answer:

-10 pounds or 10 pounds loss

Step-by-step explanation:

you subreact 10-20 and you get -10

Find the LCD of the fractions and enter them

4/8 and 4/6

Answers

Answer:

The LCD IS 6

Step-by-step explanation:

What is 42 x 118 In a full equation?

Answers

42 x 118 would be 4956 by Multiplying by breaking apart a factor

Answer:

4956

Step-by-step explanation:

alternative forms

4.956×10³

Question Help Morgan saw 3x 10' cats in the park on Sunday. She saw three times as many cats on Monday as she saw on Sunday. How many cats did she see over the two days? Morgan saw cats over the two days.​

Answers

Answer:

60

Step-by-step explanation:

prove that 5^(2n - 1) is divisible by 8​

Answers

Your teacher must have made a typo somewhere. The expression 5^(2n-1) is not divisible by 8.

The expression 5^(2n-1) is composed of 2n-1 copies of "5" multiplied together. The key here is that 5 is the only unique prime factor of this number.

On the other hand, 8 = 2*2*2 = 2^3 showing that 2 is the only prime factor for this number. At this point, we can see that there's no way that 5^(2n-1) is divisible by 8. It all comes down to the clash of the primes 5 and 2 not matching up, and having nothing in common.

Let's consider a few concrete examples:

If n = 1, then 5^(2n-1) = 5^(2*1-1) = 5^1 = 5 which is not divisible by 8. The number 5/8 = 0.625 isn't an integer.If n = 2, then 5^(2n-1) = 5^(2*2-1) = 5^3 = 125 which is also not a multiple of 8. The number 125/8 = 15.625 isn't an integer.

I'll let you try other natural numbers for n, and you'll find that [tex]\frac{5^{2n-1}}{8}[/tex] isn't an integer.

The price of an item yesterday was $85. Today, the price rose to $136. Find the percentage increase

Answers

60%

Step-by-step explanation:

(136 - 85)/85 × 100%

= 51/85 × 100%

= 51/17 × 20%

= 3 × 20%

= 60%

Which side is the hypotenuse of XYZ

Answers

The hypothenuse is YX. The hypotenuse is always the longest side of a right angled triangle and also the opposite side of the right angle!

Please solve the math problem... I will mark you brainliest

Answers

Answer: XYZ = HGJ by the ASA postulate

If 25% of $2000 is spent on food,how much money is spent on food?

Answers

$500 just divide by 4 because 25/100 = 1/4

Answer:

$500

Step-by-step explanation:

Simply change the 25% into a decimal which is 0.25 and multiply $2000.

Or you can change 25% into a a fraction which is 25/100 and simplify giving 1/4. Then simply multiply $2000 by the fraction: 2000/1×1/4. Cross multiply which is 2000×1/1×4=2000/4. Now simply divide 2000 by 4 and you get 500 as your answer.

Other Questions
Claire's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y represented by the equation y = 56 + 7.1x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y = 92?the change in expected quiz for every additional one hour students spend on their homework.a student's expected quiz score if they spent 1 hours on their homework.the number of hours a student should spend on their homework to expect a score of 92 on the quiz.a student's expected quiz if they spent 92 hours on their homework. Which of the following is hypothesis A. If plant receives more water, then it will grow tallerB. What happens if a plant receives a lot of water?C. Plants need water to grow. Find mJTSA) 104C) 120E) 87B) 128D) 74 find the slope of x+2/3 A 2 minute funny speech for grade 7 on the following topic: Women in space Mae read a 403-page book in 13 hours. at this rate , how long will it take her to read a 248-page book? There are 300 people attending a conference. If each table at the conference can seat 3 people, how many tables will the conference need? A student in lab is determining the density of beads of an unknown metal using displacement by volume. The beads are added to an empty beaker (82.0 g) and with the metal beads it weighs 205.5 g. The beads are poured out into a graduated cylinder containing 60.9 mL of water and the water rises to 70.8 mL mark. What is the density of the metal beads in g/mL?a. 0.34b. 0.08c. 12.47d. 2.90e. 1.74 this is my sis how does she look What kind of story is the Aztec history of the conquest? Karen has two dogs. The larger dog weighs 1.4 pounds more than thesmaller dog. The combined weight of the two dogs is 12.6 pounds. What isthe weight, in pounds, of the smaller dog? Only type in a numericresponse. A man is pulling a cart to the left with a force of 60 N. A second man is pushing the cart to the left with a force of 30 N. There is a force of 90 N acting on the cart in the opposite direction. What is the net force acting on the cart AND how can the motion of the cart be described? 20 < 5 (F 32) < -15solve the compound inequalities Aaron is an independent journalist and content creator who specializes in long-form video essays that discuss economic concepts. He is thinking about taking an online course that teaches how to use a new video editing software. Explain the benefits to society and the costs for Aaron in taking this course.(1 point)The benefits are that Aaron will be more productive, which will lead to more output, as well as increased human capital as a result of his videos. The costs to Aaron are the time and money to take the course, along with any forgone income that could have been earned during this time.The benefits are that Aaron will be more productive, which will lead to more output, as well as increased human capital as a result of his videos. The costs to Aaron are the time and money to take the course, along with any forgone income that could have been earned during this time.Aaron is the only one that benefits by an increase in his productivity and future earnings, so society does not benefit. The costs to Aaron are the time and money to take the course, along with any forgone income that could have been earned during this time.Aaron is the only one that benefits by an increase in his productivity and future earnings, so society does not benefit. The costs to Aaron are the time and money to take the course, along with any forgone income that could have been earned during this time.Aaron is the only one that benefits from an increase in his productivity and future earnings, so society does not benefit. The only cost to Aaron is the financial cost of taking the course.Aaron is the only one that benefits from an increase in his productivity and future earnings, so society does not benefit. The only cost to Aaron is the financial cost of taking the course.The benefits are that Aaron will be more productive, which will lead to more output, as well as increased human capital as a result of his videos. The only cost to Aaron is the financial cost of taking the course. carbon dioxide is a major contributor to current climate change because it Describe the type of gameplay seen during early video games What are the Literature devices used to Analyze a book please someone help. Giving brainliest!!!!!! :) How did Jefferson's election as president change the relationship between the two men? 5) Choose the best answer.How does moss prevent landslides?They adapt to surviving bad weather.They live in the shade on the ground.They establish themselves on rocky ground.They turn brown or black and appear to be dead when times are dry.They soak up the rain on steep hillsides.