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.

To learn more about Integers, click :

https://brainly.com/question/15276410

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Related Questions

(-1,0) (-10,-1) find coordinates

Answers

Answer:

Use a graph calculator

Step-by-step explanation:

combining like terms with negative coefficients and distribution
-2(2x+4)?

Answers

Answer:

-4x - 8

Step-by-step explanation:

Step 1: Write out expression

-2(2x + 4)

Step 2: Distribute -2

-4x - 8

if someone weighs five times as much as someone else and the total weight of the two people is 132 pounds how much does each person weight

Answers

Answer:

The heavier person weighs 110 pounds, and the lighter person weighs 22 pounds.

Step-by-step explanation:

Let the weight of the lighter person be 1 unit.

The weight of the heavier person will be [tex]1\times 5=5u[/tex]

Total weight: [tex]1u+5u=6u[/tex]

6 units = 132

Divide 6:

[tex]1u=\frac{132}{6}[/tex]

[tex]1u=22[/tex]

The weight of the lighter person is 22 pounds.

Weight of the heavier person [tex]= 5\times 22=110[/tex]

The weight of the heavier person is 110 pounds.

Step-by-step explanation:

someone= 5x

someone + x= 132

5x + x = 132

6X=132

x=22

One person ("someone") weighs x× 5 = 110.

the other person ("x) weighs x = 22

Select the decimal that is equivalent to
8
Choose 1 answer
A 0.767
B
0.767
С
0.875
D
0.875
E
None of the above

Answers

Answer:

NONE OF THE ABOVE (E).

Step-by-step explanation:

8 is a whole number.


6,8,10,11. 12, 14, 18, 18,30
Create a box plot to display the data.

Answers

Answer:

dunny but 4950

Step-by-step explanation:

4960-

,mmnj3gohb4yvgbuh4rbihb3rvhbeffhobvouwebohbewovjdkcbhoebfvhubefhvbhuewfbviohbefwovbehbvhebfphbpvibepivb4uhbvuohebfvhubefubvuhrb4ibeiovbivbiohefbvihiefbvhbehbvehvbhefbvhfobvubfrfibefiuuibubvfvneubvuhefbvuhb>>>
mkmm'nmlc
sorry out of order

Answers

Answer:

jdkskdjdjfnfnekeoeodnfnfnn;#>#[<:<:÷_9:÷8÷8_:>^:#<:8÷^8<#9<^g9su9ugsvy9e9uebu93vy838y3vy038j3b7496g4b79468g4bu940bev9urbd0ubdb0iuv0d0ibdv0ud9vy3 yv83 8y38 y y88_:-;0<#9_%;3636:04:9649660:3:_939_:$<$:9<#0;#_9^#:9<

7

just seven my dude or dudett

if 28 men can complete a work in 16 days wiil 8 men take to complete that work is it a.14 b.48 c.56 d.128

Answers

Answer:

56

Step-by-step explanation:

Compare the ratios from the tables. 2:3 is ___ 5:6 10:12 is ___ 6:9 The ratios in Table 1 are ___ the ratios in table 2.
Will pick brainliest if you answer!! :3 :D

Answers

Answer:

1st is less than 2nd is greater than 3rd is less than i did the quiz can i get brainlist

Step-by-step explanation:

Answer:

1) less than

2) greater than

3) less than

Step-by-step explanation:

got right on Edgen 2020

What is the greatest common factor (gcf) of 56 and 98

Answers

Answer: The greatest common denominator is 14

PLEASE HELP!!! Write a quadratic equation if its roots are: [tex]\sqrt{3} -1/2[/tex] and [tex]\sqrt{3} +1/2[/tex]

Answers

Answer:

x²- √3 x +1/2

Step-by-step explanation:

To write a quadratic equation with roots only:

x² -(sum of the roots)x+(product of roots)

x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)

x² -(2√3)/2 + ( 9-1)/4

x²- √3 x +1/2

Find the distance between the points (2,9) and (8,2)

Answers

So the distance between two points formula is :
c= the square root of (x1-x2)^2 + (y1-y2)^2

Therefore ...
(8-2)^2 + (2-9)^2
6^2 + (-7)^2
36+49= 85
Square root of 85= 9.22 approx.
Hence, the distance between the two points is 9.22

Solve the equation below k/12

Answers

Answer:

k = 24

Step-by-step explanation:

Step 1: Write equation

k/12 = 2

Step 2: Multiply 12 on both sides

k = 24

Please solve! Brainliest first :D

Answers

Answer:

               400 miles  

Step-by-step explanation:

x    -  miles driven

140 + 0.70x    -  a day cost of renting from A

60 + 0.90x    - a day cost of renting from B

140 + 0.7x = 60 + 0.9x

   - 60           - 60

80 + 0.7x = 0.9x

    -0.7x       -0.7x

    80  =  0.2x

    ×5         ×5

 400  =  x

a cliff diver leaps from a 100-foot cliff into the pacific. the divers height above the water is modeled by the function P(x) = -16x^2 + 10x + 100, where x is time in seconds. during which interval is the diver at least half way down

Answers

Answer:

2.1 < x < 2.5 seconds

Step-by-step explanation:

solve this equation- x+3=x+3

Answers

Answer:

x = 0

Step-by-step explanation:

Step 1: Write out equation

x + 3 = x + 3

Step 2: Add x to both sides

2x + 3 = 3

Step 3: Subtract 3 on both sides

2x = 0

Step 4: Divide both sides by 2

x = 0

Answer:

Step-by-step explanation:

x + 3 = x + 3

3 = 3

infinitely many solutions

what is 7.393 rounded to the nearest hundreth

Answers

Answer:

7.390

Step-by-step explanation:

Answer:

7.39

Step-by-step explanation:

The hundredths place of 7.393 is the 9.

To round off to the nearest hundredth, drop all decimal place to the right of the hundredths place.

7.39

Since the first dropped digit to the right of the 9 is a 3, we keep the 9 as is.

Answer: 7.39

Everyday my cousin and I played a game of chess. To make it interesting, whoever lost the game owes a chocolate to the other. We played many games of chess over many days. After the last game we played, we counted the number of games each of us had won and lost. Since I won more than her, she handed me 29 chocolates, even though she did win 5 games. How many total games did we play?

Answers

Answer:

34, I think.

Step-by-step explanation:

if you have 29 chocolates, and she won 5, 29+5 equals 34

A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates after both reflections are what

Answers

Answer:

The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].

Step-by-step explanation:

Let be a point [tex](a,b)\in\mathbb{R}^{2}[/tex], reflections across x- and y-axes are represented by the following operations:

x-Axis reflection:

[tex]d = d'[/tex]

[tex]b - 0 = 0 - b'[/tex]

[tex]b' = -b[/tex]

y-Axis reflection:

[tex]d = d'[/tex]

[tex]a - 0 = 0 - a'[/tex]

[tex]a' = -a[/tex]

If we know that [tex]X (x,y) = (3,2)[/tex], [tex]Y(x,y) = (5,-1)[/tex] and [tex]Z (x,y) = (-2, 3)[/tex], the coordinates after both reflections are, respectively:

[tex]X'(x,y) = (-3,-2)[/tex]

[tex]Y' (x,y) = (-5,1)[/tex]

[tex]Z'(x,y) = (2,-3)[/tex]

The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].

SOMBODY HELP ME!!!! I NEED HELP

Answers

Answer:

-11, -2, 3, 6

-16, -5, 21, 29

Step-by-step explanation:

Answer:

You are almost correct

2. -11, -2, 3, 6

3. -16, -5, 19, 21

Step-by-step explanation:

This is the answer because:

1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have

2) Therefore, the answers would be

2. -11, -2, 2, 6

3. -16, -5, 19, 21

Hope this helps! :D

Confused a little pls Help me out. ​

Answers

Answer:

The answer is on point (3,1)

Answer:

(-4,8) and (-4,-6)

Step-by-step explanation:

As you can see, in the answer I have provided above, the x-coordinates are the same and these points are 7 units away from point D as well.

PLEASE MARK ANSWER AS BRAINLIEST!!!

Write the expression as a decimal number.
5×1+1×
1
10
+8×
1
100
+6×
1
1000
=

Answers

The answer would be 66.7

the school environment science club has $500 of funds. each time they go on a field trip. it costs them $80. Write an algebraic expression that represents the money the club has after going on x field trips

Answers

Answer:

500 ÷ 80=x

Step-by-step explanation:

If the school environment science club has $500 of funds and it cost $80 divide 500 and 80 and it should give you your answer.

6-4(2x-3)+10x
Show and explain work

Answers

Answer:

18+2x

Step-by-step explanation:

6-4(2x-3)+10x

6-8x+12+10x    multiply 2x-3 by -4

18+2x               combine like terms

need help with my words in vocab​

Answers

Okey. But how and where

2 5 x y + =
Solve for Y
Please hellppppppppp

Answers

I do not think all of the question is there.

25 X y = / y would have to

please help algebra 2 question D:

Answers

First, let's let's evaluate the numerator and denominator separately.

The numerator: (-2)^2(3)(4) - (-1) = 48 + 1 = 49

The denominator: (-2)^2 = 4

Now that the numerator and denominator are simplified, let's take the square root of 49/4

sqrt(49/4) = 3.5

Wats the equation??
9/4 = Division 4

Answers

9/4 = 9 divided by 4

please help me i am so lost

Answers

The Answer is 14175
When it’s Area you multiply the numbers
I hope this helps

I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!

All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson

Answers

Answer:

They should all be true because she is 56 inches tall and the minimum for the roller coasters is 54 inches. So its probably the same minimum for the drop tower.

Step-by-step explanation:

Answer:

a.  True

b.  True

c.  True

d.  True

Step-by-step explanation:

all true because the min height to ride the drop tower is 51 in

and the roller coaster is almost the same as 51 in.

if Cindy is 56 in high, then Cindy can ride both the roller coaster and the drop tower.

Help me plz !!!!!!!!!!!!!!!!!!!!!

Answers

I believe it is 30% decrease

Answer:

letter b. 30% decrease

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