A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

Answers

Answer 1

Answer:

[tex]\huge\boxed{14\ \text{and}\ 7}[/tex]

Step-by-step explanation:

[tex]n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right[/tex]

[tex]\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}[/tex]

[tex]\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}[/tex]

Related Questions

How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked? Translate into expression, I will award brainiest!

Answers

Answer:

Total distance traveled= 21h miles

Step-by-step explanation:

You biked at 10 mph for h hours

Speed= 10 mpg

Time = h hours

Distance covered= speed*time

Distance covered= 10h miles

walked at 3mph for twice as long as I biked,

Speed= 3 mph

Time= twice as long as biked

Time= 2(h) hours

Distance= 2h*3

Distance= 6h miles

ran at 10mph for one quarter as long as I walked

Speed= 10 mph

Time= 1/4 of(2h)

Time= 1/2h hours

Distance= 1/2h*10

Distance= 5h miles

Total distance traveled

= 10h miles +6h miles+ 5h miles

Total distance traveled= 21h miles

Write the quadratic equation in standard form and then choose the value of "b."
(2x - 1)(x + 5) = 0
O
10
011
pllllllls help me

Answers

[tex](2x-1)(x+5)=2x^2+9x-5=0[/tex].

The quadratic equation has a general form of

[tex]ax^2+bx+c=0[/tex].

So your "b" is 9.

Hope this helps.

Answer: Answer is in the steps

Step-by-step explanation:

(2x-1)(x+5) = 0 First expand the left side by apply the distributive property twice.

(2x -1)(x+5) =0

x(2x -1) = 2x^2 -1x

5(2x -1) = 10x -5

Now rewrite them all together

2x^2 - 1x +10x -5 = 0 combine like terms on the left side.

[tex]2x^{2}[/tex] + 9x -5 = 0 a is the first leading coefficient,b is the second leading coefficient, and c is the constant.

So in this case, the value of b is 9.

Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theodore correct? Yes, the triangles are similar with a scale factor of 32. No, the triangles are similar with a scale factor of 21. No, the triangles are similar with a scale factor of 23. No, the triangles are similar with a scale factor of 43.

Answers

Answer:

No, the triangles are similar with a scale factor of ⅔

Step-by-step explanation:

Given that ∆TUV was transformed to ∆WXY, it means the original lengths of ∆TUV were multiplied by a scale factor that reduced the lengths of ∆TUV to get the lengths of ∆WXY.

AA scale factor of ³/2 will increase the lengths rather than reduce it.

Therefore, the scale factor that was used was ⅔.

Thus, ⅔ of UT will give you the size of XW. Check it out below:

UT = 12, therefore, ⅔*12 = 8.

Which of the following shows the rational numbers in order from least to greatest?

Answers

i believe the answer is h

Answer:

Step-by-step explanation:

Becuase if you convert all into decimals you will see.

Suppose that the functions and are defined as follows.

Answers

Answer: (q°r)(4) = 30

(r°q)(4) = 36

Step-by-step explanation:

First, when we have two functions f(x) and g(x), we have that:

(g°f)(x) = g(f(x))

So we are actually evaluating one function with other function.

Now, solving the problem:

q(x) = 2x - 2

r(x) = x^2

we have:

(q°r)(x) = q(r(x)) = 2*r(x) - 2 = 2*(x^2) - 2

(r°q)(x) = r(q(x)) = q(x)^2 = (2*x - 2)^2

Then:

(q°r)(4) = q(r(4)) = 2*r(4) - 2 = 2*(4^2) - 2 = 2*16 - 2 = 32 - 2 = 30.

(r°q)(4) = r(q(4)) = q(4)^2 = (2*4 - 2)^2 = 6^2 = 36.

Solve: 16x2 − 81 = 0

Answers

16 x 2 - 81

32-81

= -49

Answer:

x =±9/4

Step-by-step explanation:

16x^2 − 81 = 0

Add 81 to each side

16x^2 − 81 +81 = 81

16 x^2 =18

Divide by 16

x^2 =81/16

Take the square root of each side

sqrt(x^2) = sqrt(81/16)

x =±9/4

Tutu and Pete go hiking. Tutu brings 7/10 liter of water. Pete brings 500 millimeters of water. How many more millimeters of water did tutu bring than Pete?

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━

1 liter of water equals 1000 milliliters.

To find who has more water, you need to convert (the unit) of each person to either liters or milliliters.

Since it asks for millimeters, I'm going to convert Tutu's 7/10 liters to milliliters. Since there are 1000 milliliters in every liter, you have to multiply 7/10 by 1000. 7/10 multiplied by 1000 is 700.

So Pete has 500 milliliters of water and Tutu has 700 milliliters of water.

Now you need to find the difference of 700 and 500 by subtracting.

700-500=200

Tutu bought 200 more milliliters of water than Pete.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━

What does it mean if an x (input) or y (output) value doesn't make sense? What does it look like on a graph? What happens in the equation?

Answers

Answer:

It is not a function.

Step-by-step explanation:

If the x input or the y output in the given equation have no meaning or does not have any sense, then it will not form a function. We need to see if there are two of the x - intercept which are same. Then the graph will be a straight vertical line. Also the slope of the function cannot be determined.

How is the product of 2 and –5 shown on a number line? A number line going from negative 10 to positive 10. An arrow goes from 0 to 5 and from 5 to 10. A number line going from negative 10 to positive 10. An arrow goes from 10 to 5 and from 5 to 0. A number line going from negative 10 to positive 10. An arrow goes from negative 10 to negative 5 and from negative 5 to 0. A number line going from negative 10 to positive 10. An arrow goes from 0 to negative 5 and from negative 5 to negative 10.

Answers

Answer:

Step-by-step explanation:

It starts at 0 and goes in the negative direction, whereas the others don't

Answer:

Step-by-step explanation:

17% of the speech team is also on the debate team rewrite this percent as a fraction in simplest form

Answers

Answer:

[tex]\frac{17}{100}[/tex]

Step-by-step explanation:

A percentage is basically another way of writing a fraction.

If we have a percentage, x%, then it's fraction will be [tex]\frac{x}{100}[/tex].

Since 17 is the percentage here, the fraction is [tex]\frac{17}{100}[/tex].

This can't be simplified any further as 17 is a prime number.

Hope this helped!

Margie received her store order on 12/3/16 at 4am she just opened one of the fountain BIBs today 12/7/16 at 12pm the BIB has a printed expiration date of 1/17/17 on it Drag the options from the right to fill out the label properly

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

[tex]Exp \ Date : 1/17/17[/tex]

[tex]Exp \ Time : 4:00 \ am[/tex]

[tex]Prep \ Date : 12/3/2016[/tex]

[tex]Prep \ Time : \ 4:00 \ am[/tex]

Step-by-step explanation:

From the question we told that

The date Margie received her store order is [tex]D_O = 12/3/16[/tex]

The time Margie received her store order is [tex]T_o = 4am[/tex]

The Date which Margie opened the order is [tex]Da = 12/7 /16[/tex]

The time which Margie opened the order is [tex]T_a = 12 \ pm[/tex]

The expatriation date on the BIB is [tex]D_e = 1/17 /17[/tex]

Generally from the question we can deduce that the

[tex]Exp \ Date : 1/17/17[/tex]

[tex]Exp \ Time : 4:00 \ am[/tex]

[tex]Prep \ Date : 12/3/2016[/tex]

[tex]Prep \ Time : \ 4:00 \ am[/tex]

Answer: dont put the time just put in the dates The exp and prep which is the day she received that's all u need to do.

Step-by-step explanation:

On a number line, suppose point E coordinate of -2, and EG=12. what are the possible coordinates of point G?

Answers

Answer:

-14 or 10.

Step-by-step explanation:

It is given that, on a number line, suppose point E coordinate of -2, and EG=12.

We need to find the possible coordinates of point G.

Since EG=12 it means point distance between point E and G is 12 units, therefore point G must be on 12 units left or write from point E.

If point G is 12 units left of E, then

G=-2-12=-14

If point G is 12 units right of E, then

G=-2+12=10

Therefore, the possible coordinates of point G are -14 or 10.

Jaime Bailey is chair of a department at a college. Jaime has a budget in which
1.4 of the money is for photocopying, 2/5 of the money is for computer-related expenses, and the rest of the money is for student tutors in the foreign languages lab. What fraction of Jaime's budget is for student tutors?

Answers

Answer:

Step-by-step explanation:

7/20

Represent the total budget amount by b.

Then from this b, subtract b/4 and then from the result subtract 2/5:

b - b/4 = (3/4)b; now from this (3/4)b subtract (2/5)b:

Converting these proper fractions to decimal fractions, we get:

0.75b - 0.40b = 0.35b

This tells us that 35/100, or 7/20, of Jaime's budget is for tutors.

The table lists the profits of some of the world’s largest corporations in 2013. List the companies in order from greatest to least amount of profit.

A. Ace Motors, MegaMart, Vision Cell, Urban, Punchbuggies

B. Punchbuggies, MegaMart, Ace Motors, Vision Cell, Urban

C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban

D. Vision Cell, Ace Motors, Urban, Punchbuggies, MegaMart

Answers

Answer:

C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban

Step-by-step explanation:

Rewrite the given amount of profits in the number form as follows:

MegaMart: 1.7*10⁹ = 1.7*1,000,000,000 = 1,700,000,000

Vision Cell: 9*10⁸ = 9*100,000,000 = 900,000,000

Ace Motors: 6.2*10⁹ = 6.2*1,000,000,000 = 6,200,000,000

Urban: 4*10⁵ = 4*100,000 = 400,000

Punchbuggies: [tex] 2.7*10^{10} [/tex] = 2.7*10,000,000,000 = 27,000,000,000

Now we can easily order the profits of the companies from greatest to least amount:

Punchbuggies: 27,000,000,000

Ace Motors: 6,200,000,000

MegaMart: 1,700,000,000

Vision Cell: 900,000,000

Urban: 400,000

The answer is C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban.

Answer:

Step-by-step explanation:

What is 6^2/3in radical form?

Answers

Answer: ∛36

Solution:

6^(2/3) = ∛6²

∛6² = ∛36 (in radical form)

Answer:

3/6^2

Step-by-step explanation:

First option

If x = 2 and y = -3, then what is -xy2

Answers

Answer:

-18

Step-by-step explanation:

Step 1: Substitute your x and y values in

[tex]-(2)(-3)^{2} \\(-2)9\\-18[/tex]

Therefore the answer when x = 2 and y = 3 is -18

What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

Choose two points from the graph; count how far one point is away from the other. Simplify if needed.

Solve x + x + 2 + 2x = -2. 1 -1 0 -2

Answers

Answer:x=-4+0.1/4

Step-by-step explanation:x+x+2+2x=-2.1-10-2

We move all terms to the left:

x+x+2+2x-(-2.1-10-2)=0

We add all the numbers together, and all the variables

x+x+2x+2-(-14.1)=0

We add all the numbers together, and all the variables

4x+16.1=0

We move all terms containing x to the left, all other terms to the right

4x=-16.1

x=-16.1/4

x=-4+0.1/4

Answer:

-1

Step-by-step explanation:

x + x + 2 + 2x = -24x +2 = -24x = -2 -24x = -4x= -4/4x= -1

Answer is - 1

Х
z
Y
Which of these can all be found on the figure?

Answers

Answer:

Step-by-step explanation:

the figure always contains an x!;)

what is 5/8 times 5/6

Answers

Answer:

25/48

Step-by-step explanation:

You want to multiply the numerators and the denominators

[tex]5 * 5 = 25\\\\6 * 8 = 48\\\\25/48[/tex]

Answer:25/48

Step-by-step explanation:

Kurt, Sophia, and Franco had a paper airplane throwing contest after school. Kurt's airplane flew 8.6 yards. Sophia's airplane flew 2.2 yards farther than Kurt's airplane. Franco threw his airplane 1.5 times as far as Sophia's airplane. How far did Franco's paper airplane fly?

Answers

Answer: 16.2

Step-by-step explanation:

8.6 + 2.2 = 10.8

10.8 x 1.2 = 16.2

Answer:

16.2

Step-by-step explanation:

Given f(x) = 4x - 3, find f(-5).

Answers

f(-5)=4(-5)-3, so f(-5)=-20-3.
f(-5)=-23

Answer:

The answer is

- 23

Step-by-step explanation:

f(x) = 4x - 3

To find f( - 5) substitute the value of x that's - 5 and solve for f(-5)

That's

[tex]f( - 5) = 4( - 5) - 3[/tex][tex] = - 20 - 3[/tex]

We have the final answer as

[tex]f( - 5) = - 23[/tex]

Hope this helps you

What is the surface area of each triangular prism?

Answers

the surface area of the above triangular prism is 156 square inches.

Step-by-step explanation:

multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.

GuYs i need your help?!?!?! Are these ratios equevalent? 30:5 and 5 to 1 Yes or no!!!!!!!???????

Answers

Answer:

NO, it's 6 to 1

Step-by-step explanation:

30/5=6

5/5=1

6:1

Answer:

No because 30:5=6:1 when u expressed, but for 5:1 it could be any number like 30:6 or whatsoever

Step-by-step explanation:

can someone please help me.

Answers

Answer:

Angle NKO and Angle OKL are adjacent and complementary

Step-by-step explanation:

Adjacent - yes - they have the common vertex K and the common side KO.

Vertical - no - vertical angles are created by two intersecting lines, and angles NKO and OKL are not.

Complementary - yes - since it's given to us that JL and MN are perpendicular, that means that they intersect at 90 degree angles. This means that angles NKO and OKL add up to 90 degrees, and because complementary angles are angles that add up to 90 degrees, NKO and OKL are complementary.

Supplementary - no - supplementary angles are angles that add up to 180 degrees, and since NKO and OKL add up to 90 degrees, they can't be supplementary.

Linear Pair - no - a linear pair is a pair of angles that are adjacent and supplementary. Angles NKO and OKL are adjacent, but since they're not supplementary they can't be a linear pair.

PLEASE HELP ME! A) 5/6 B) 17/30 C) 8/15 D) 3/4

Answers

Answer:

[tex] \frac{17}{30} [/tex]

Step-by-step explanation:

[tex] \frac{2b + 4h}{bh} = \frac{2(10) + 4(12)}{10 \times 12} = \frac{20 + 48}{120} = \frac{68}{120} = \frac{34}{60} = \frac{17}{30}[/tex]

Hope this helps ;) ❤❤❤

Answer:

B) 17/30

Step-by-step explanation:

The expression is given to you:

(2b + 4h)/(bh)

The measurements for the variables are also given to you:

b = 10 ft.

h = 12 ft.

Plug in the corresponding numbers to the corresponding variables:

(2(10) + 4(12))/(10 * 12)

Solve. Remember to follow PEMDAS. First, solve for the multiplications within the parenthesis:

((2 * 10) + (4 * 12))/(10 * 12)

((20) + (48))/(120)

Next, Add 20 with 48:

(20 + 48)/120 = (68)/120

Then, divide:

68/120 = 17/30

B) 17/30 is your answer.

1. Michael had to pay sales tax on the bike. At 6%, how much sales tax did he pay?

Answers

Answer:

*just rant 6%×273.95 in the calculator.

Step-by-step explanation:

it says there's a borrow, which is a loan. is it plus tax and loan interest? (I invest in real estate so I understand monthly interest.)

A lender will make an 80% loan-to-value loan on a property that is appraised for $72,250 and sells for $73,500. If the buyer has saved $14,450 for a down payment, how much more (if any) will he need in order to make the down payment required under the terms of this loan?

Answers

Answer:

$1250

Step-by-step explanation:

The loan can be made for up to ...

0.80 × $72,250 = $57,800

For a selling price of $73,500, the amount not funded by the loan will be ...

$73,500 -57,800 = $15,700

This is more than the buyer has saved by ...

$15,700 -14,450 = $1,250

The buyer will need $1250 in additional funds.

What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.)

(a) 90% confidence, n = 17

(b) 90% confidence, n = 12

(c) 99% confidence, n = 24

(d) 90% confidence, n = 23

(e) 80% confidence, n = 13

(f) 95% confidence, n = 9

Answers

Answer:

(a) the critical value of t at P = 10% and 16 degrees of freedom is 1.337.

(b) the critical value of t at P = 10% and 11 degrees of freedom is 1.363.

(c) the critical value of t at P = 1% and 23 degrees of freedom is 2.500.

(d) the critical value of t at P = 10% and 22 degrees of freedom is 1.321.

(e) the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.

(f) the critical value of t at P = 5% and 8 degrees of freedom is 1.860.

Step-by-step explanation:

We have to find the critical t value for each of the following confidence levels and sample sizes given below.

As we know that in the t table there are two columns. The horizontal column is represented by the symbol P which represents the level of significance and the vertical column is represented by the symbol '[tex]\nu[/tex]' which represents the degrees of freedom.

(a) So, here the level of significance = 1 - confidence level

= 1 - 0.90 = 0.10