Find two consecutive odd integers such that seven times the first equals five times the second.

Answers

Answer 1

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

Answer 2

5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

What are Integers?

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

n = 8 / 4

n = 2

So the first number = 2n + 1 = (2 × 2) + 1 = 5

and the second number = 2n + 3 = (2 × 2) + 3 = 7

Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.

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Related Questions


Line segment AB has endpoints A (2, 3) and B(-4, 6). What are the coordinates of the midpoint of AB?



Answers

The midpoint of AB is (-1, 4.5)

x-coordinates: (2-4)/2 = -2/2 = -1

y-coordinates: (3+6)/2 = 9/2 = 4.5

Solution: (-1, 4.5)

Enter the decimal value positioned at point B.

Answers

Answer:

-2.25

Step-by-step explanation:

each mark represents 0.25

Decimal value positioned at point B is -2.25

What is Number system?

A number system is defined as a system of writing to express numbers.

A number line can be defined as a pictorial representation of numbers on a straight line.

In the given number line each line represents 0.25 (zero point two five value).

As B is in between -2 and -3.

So B value is between minus two and minus three

The values which can be between -2 and -3 are -2.25, -2.5, -2.75.

The decimal value positioned at point B is -2.25

Hence decimal value positioned at point B is -2.25

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Twice the cube of a number

Answers

Answer:

2n^3

Step-by-step explanation:

n^3 represents the cube of the number n; therefore,

"twice the cube of a number" is  2(n^3) or 2n^3

Write the equation for the transformation of f(x) = |x| as shown in the graph.

Answers

Answer:

f(x)= 3|x-3|+1

Step-by-step explanation:

Reason why it's not +3 is because it's the reverse when graphed. But that only applies for the numbers in the brackets. If it's in the brackets and it's positive, you go to the left. If it's negative, then it goes to the right. And as you see, the V isn't on the point (0 , 3), and is in fact, above it, by 1. The graph has also been stretched vertically by 3, it looks like. Hope that was helpful for you!

Answer:

y = 2|x-3| + 1

Step-by-step explanation:

The vertex of g(x) = |x| is at (0,0)

We have moved the vertex to ( 3,1)

y = f(x) + C  C > 0 moves it up

y = |x| + 1 for the shift up 1

y = f(x + C)  C < 0 moves it right

y = |x-3|  for the shift to the right 3

y = Cf(x)  C > 1 stretches it in the y-direction

y = 2|x| since  it is stretched by a factor of 2 in the y direction

Combining

y =2|x-3| + 1

0.45 repeating a whole number? Natural number? Real number?

Answers

Answer:

real number

Step-by-step explanation:

what is the solution to 1/5y+1/8=3/20​

Answers

Answer:

y=1/8

Step-by-step explanation:

Select the answer choice showing the correct conversion of 2 miles to feet. There are 5280 feet in 1 mile.

Answers

Answer:

you need to provided the answer choices

Step-by-step explanation:

The answer is 10,560 I believe

1
The admission fee to a movie is $12.50. Each concession item costs $1.75.
How much does it cost to go to the movie and then purchase 3 items at the
concession stand?

Answers

$17.75 is the answerrrrrr
The total cost would be $17.75

If mLP = (19x - 5) and x = 4, find mLP and classify the angle.

mLP = ?

Classify the angle.
Acute
Right
Obtuse
Straight

Answers

The answer is : Obtuse

simplify the following expressions ( combine like-terms )

Answers

Answer:

x + 2y

Step-by-step explanation:

Step 1: Write expression

-3x + 2y + 5x - x

Step 2: Combine like terms (x)

2x + 2y - x

x + 2y

what is the solution of 2 - 3i and 2 + 3i? ​

Answers

Answer:

Step-by-step explanation:

Multiplying

(2 + 3i)(2 - 3i)

4 - 6i + 6i - 9i^2

4 - 12i + 9

13 - 12i

Add/subtract

2 - 3i + 2 + 3i = 2

2 - 3i - (2 + 3i) = 2 - 3i - 2 - 3i = -6i

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1? 9.6, –4.8, 2.4, –1.2, 0.6, ...​

Answers

Answer:

whoa slow down one by on pls its hard for me 2 answer all that at once

Step-by-step explanation:

help quickly please~❤️

Answers

Answer:

This depends on the drop downs but its probably this:

1. Coefficient

2. Factor (I changed this one after the asker said what options there are)

3. Constant

Answer:

In the first term, 3 is a coefficient

In the second term, (x + 2) is a factor

In the last term, 4 is a constant

Step-by-step explanation:

Correct from Edmentum

Graph t> -2 on a number line

Answers

Answer:

Step-by-step explanation:

There are two options for buying crickets option A.7 pounds of crickets for 3.15 option B.3 pounds of crickets for 1.47 which option is better to buy justify your answer

Answers

Answer: 7

pounds for 3.15 is a better option

Step-by-step explanation:

Here in this question, we want to know which of the two options is a better option for buying crickets.

To know the better option, we shall be needing the unit price in whatever system to be used;

7 pounds of crickets for 3.15;

so the unit price here will be 3.15/7 = 0.45 per pound

For the second system, we have 3 pounds for 1.47 so the unit price will be 1.47/3 = 0.49 per pound

As we can see, the first option commands a cheaper price per unit, so it is the better option to buy

1.9 x (1/4) answer as a fraction

Answers

Answer:

19/40 1.9x0.25=0.475= 19/40

Answer:19/40

Step-by-step explanation:

10 - 3x < 16
Can y’all help me pls

Answers

Answer:

x>-2

Step-by-step explanation:

first you subtract 10 from both sides to find x

10-3x-10<16-10

-3x<6

now here you divide both sides by -3

-3x/-3<6/-3

BUT since you are dividing by a negative number the sign will have to flip

so the answer will be

x>-2

can some one simplify for x
12=7x+6-5x

Answers

Answer:

x = 3

Step-by-step explanation:

12 = 7x + 6 -5x        {Combine like terms}

12 = 7x - 5x + 6

12 = 2x + 6           {Subtract 6 from both sides}

12 - 6 = 2x

      6 = 2x                  {Divide both sides by 2}

    6/2 = 2x/2

3 = x

x = 3

What is the equation of the graph shown?​

Answers

Greetings from Brasil...

As we have a line, the function will be given by the expression:

F(X) = AX + B

where

A = ΔY/ΔX

B = where the line intersects the Y axis

Looking at the graph we have already concluded that

B = - 3

A = ΔY/ΔX

A = (5 - 3)/(4 - 3)     see attached picture

A = 2

So,

F(X) = AX + B

F(X) = 2X - 3

Soccer ball profit
y=-6x^2 + 100x - 180
Suppose the store wants to earn a daily profit of $150 from the sale of soccer balls. To earn this profit, what price should the store charge for each soccer ball? Explain how to solve this problem.

Answers

Answer:

$8.33 per soccer ball.

Step-by-step explanation:

Y max is =236.67   is the max profit from the soccer balls. This goes on when you charge 8.33 a ball

Answer:

need to solve the equation 150 = -6x2 + 100x - 180. I can subtract 150 from both sides and use the quadratic formula to find x = 4.53 and 12.13. This means that if the store sells soccer balls for $4.53 or $12.13, it will earn a daily profit of $150.

A teacher surveyed all 120 of her students about their lunch and lunch schedule. The teacher asked two questions:
• Do you buy a school lunch or bring lunch from home?
Do you eat during festlunch, second lunch, or third lunch
The results showed the majority of her students eat during second lunch and most students buy a school lunch
Which two way table could be a correct representation of the results?

Answers

D

you buy lunch and your teacher asks you how much you brought from home then you divide, simple.

Let f(x)=5x-4 and g(x)=x^2-1. Find (g*f)(-1)

Answers

Answer:

D. 80

Step-by-step explanation:

Given:

f(x) = 5x - 4,

g(x) = x² - 1

Required:

(g o f)(-1)

SOLUTION:

(g o f)(-1) = g(f(-1))

Plug in -1 for x into the function, f(x) = 5x - 4:

g(f(-1)) = g(5(-1) - 4)

= g(-5 - 4)

= g(-9)

Plug in -9 for x in the function, g(x) = x² - 1

g(-9) = (-9)² - 1

= 81 - 1

= 80.

Therefore, (g o f)(-1) = g(f(-1)) = 80

D. 80 is the correct answer.

x[8x + (-4)x]² - (4)-(-6)x

Answers

here is the answer i got with my calculator

What is the square root of 586

Answers

here’s everything you might need to know! hope this helps!!

Square root of 586 definition
The square root of 586 in mathematical form is written with the radical sign like this √586. We call this the square root of 586 in radical form. The square root of 586 is a quantity (q) that when multiplied by itself will equal 586.

√586 = q × q = q2

Is 586 a perfect square?
586 is a perfect square if the square root of 586 equals a whole number. As we have calculated further down on this page, the square root of 586 is not a whole number.

586 is not a perfect square.
Is the square root of 586 rational or irrational?
The square root of 586 is a rational number if 586 is a perfect square. It is an irrational number if it is not a perfect square. Since 586 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 586?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√586 is an irrational number


Can the square root of 586 be simplified?
You can simplify 586 if you can make 586 inside the radical smaller. We call this process "to simplify a surd". The square root of 586 cannot be simplified.

√586 is already in its simplest radical form.


How to calculate the square root of 586 with a calculator
The easiest and most boring way to calculate the square root of 586 is to use your calculator! Simply type in 586 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

√586 ≈ 24.207436874

That passes through (-4,0) and is parallel to y= -2x+1

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

Parallel lines always have the same slope. Here, it is -2.

So, our equation so far looks like this:

y = -2x + b, where b is the y-intercept

We need to find b. We know our line passes through (-4, 0), so let's plug -4 in for x and 0 in for y:

y = -2x + b

0 = -2 * (-4) + b

0 = 8 + b

b = -8

Since b = -8, our equation is thus y = -2x - 8.

~ an aesthetics lover

The cost of a water heater is $550. Tax is 8%. How much tax will they pay for the water heater?

Answers

The amount of tax would be $44 .
Hope that helps

To determine the number of trout in a​ lake, a conservationist catches 132 ​trout, tags them, and throws them back into the lake.​ Later, 22 trout are​ caught; 11 of them are tagged. How many trout would the conservationist expect to be in the​ lake?

The conservationist would expect that there are how many trout in the lake?

Answers

I wish I knew I’m havin trouble

when you have an equation the the result of multiple property's, can all the property's be in one equation?

Answers

Answer:

Step-by-step explanation:

5x - 3 = 2(x +2)^2

Don't try this. It is a double ugly equation. But you can see that you use the power property. You use the distributive property. You use addition and subtraction and division and multiplication to solve it.

Yes all the property’s could be in one equation

While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $52.25 to buy the dress. Kyla needs to work ________ hours to earn $52.25.

Answers

she should babysit for 9.5 hours

Five hundred sixty two and nine tenths

Answers

Answer:

562.9

Step-by-step explanation:

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Read this excerpt from Narrative of the Life of Frederick Douglass. In the afternoon of that day, we reached Annapolis, the capital of the State. We stopped but a few moments, so that I had no time to go on shore. It was the first large town that I had ever seen, and though it would look small compared with some of our New England factory villages, I thought it a wonderful place for its size more imposing even than the Great House Farm! Which of these is a true statement about travel during Douglasss youth? Enslaved persons had few opportunities to travel and few experiences beyond their plantations. Enslaved persons often traveled to New England factories seeking a better way of life. Enslaved persons were encouraged to visit their state capitals when traveling between plantations. Enslaved persons were welcomed warmly, in many harbor towns, when they travelled by boat. How many pins are in the power supply connector that is typically used on most motherboards today? what expressions have a value of 16/81 What is the difference of -9 and -6? State the name of the property illustrated. (x + 7) + [-(x + 7)] = 0 3(7) Select the point on the number line to plot the answer. https://learning.k12.com/d2l/le/enhancedSequenceViewer/811794?url=https%3A%2F%2Fe02711f5-1353-40b6-af9b-349f7ff846bd.sequences.api.brightspace.com%2F811794%2Factivity%2F122669191%3FfilterOnDatesAndDepth%3D1 What groups had colonial representation in colonial america? What would be the best vertical axis title for this graph?a.Car sales for 2008b.Make and modelc.Yeard.Ford (3 3/4)(2 1/2) PLEASE HURRY What is true of standard notation? I can't find the value of Y A self-serve car wash charges $5.20 to use its facilities, plus an additional $0.66 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 9 minutes, how much was she charged? A.$11.14B.$14.20C.$5.94D.$5.86 The elements potassium (K) and chlorine (CI) can form an ionic bond. Which of the followingstatements correctly explains what occurs (in this ionic bonding)?1.) As chlorine has 7 valence electrons, it tends to form bonds to gain one electron (to get a full valence shell of 8).On the other hand, potassium has one valence electron, so it tends to lose this electron to other atoms (andbecome a cation)2.) As chlorine has 7 valence electrons, it tends to form bonds to lose all 7 electrons. On the other hand,potassium has one valence electron, so it tends to gain 7 electrons (to get a full valence shell of 8).3.) In this ionic bonding, potassium is the anion and chlorine is the cation.4.) During the ionic bonding between potassium and chlorine, 8 electrons are shared between these 2 atoms. If the setting of a story is a deserted soccer field, which character most closely connects with this setting A. A protagonist who is trying to find a way to help his sick Neighbor B. A protagonist who is fighting against robots that are taking over the world C. A Protagonist who has no real friends to count onD. A protagonist who time travels to the middle of a futuristic city I am Kinda of confused How did slavery ultimately lead up to the Civil War? need help with these question's. correct the following dangling constructions by rewriting the sentence's Q1: Being naturally shy, Dates Became a burden to me Q2: Looking north, our ranch can easily be seen. Q3: While climbing to the roof, the ladder slipped and made me fall. Q4: By ignoring him, Johnny stopped having tantrums. Q5: Having been eaten by gophers, Dad set a trap by the chrysanthemums. Q6: At the age of nine, Don's father died of a cerebral hemorrhage Q7: To sew properly, a pattern should be followed. Q8: To achieve success in any field, perseverance must be maintained. Q9: By arriving at the fair early, the winning entries can be seen. !!30 POINTS!!Name the ray that is opposite RS In the novel The Giver which rule is the most frustrating in Jonas community and why? are y=2/3x-3 y=-3/2x+2 perpendicular? I know they intersect but i need to know if theyre perpendicular to each other. Please help ASAP!! Given a the line y=2.5x+4, find line whose graph:is parallel to the graph of the given line.