There are three consecutive odd integers such that the sum of twice the second and the smallest is seven more than twice the largest. Find the sum of the integers.

Answers

Answer 1

Answer:

11 +13 + 15  = 39

Step-by-step explanation:

Let the consecutive odd integer be X , Y , Z .

X < Y < Z

Y = X + 2

Z = X + 4

Given ,

2 Y + X = 2 Z + 7

2 ( X + 2 ) + X = 2 ( X + 4 ) + 7

2 X + 4 + X = 2 X + 8 + 7

X = 15 - 4 = 11

So the integers are

11 , 13 , 15 .

Sum of integers = 39.


Related Questions

every negative integer J is less than or equal to its inverse written in mathematical language

Answers

Answer:

[tex]J \leq -\frac{1}{J}[/tex]

Step-by-step explanation:

Given

Negative integer J

Required

Write an expression as it is in the question'

First, we need to determine the inverse

[tex]Inverse = -\frac{1}{J}[/tex]

At this point, we have

[tex]Integer = -J[/tex]

[tex]Inverse = -\frac{1}{J}[/tex]

The required relationship between these expression becomes

[tex]J \leq -\frac{1}{J}[/tex]

If A, B, and C are the vertices of a triangle, find AB + BC + CA.

Answers

Answer:

0

Step-by-step explanation:

When drawing a triangle, note that the vectors can be drawn either in a clockwise or anticlockwise direction. For a triangle with vertices A, B and C, te vectors are AB, BC and CA

In vector notation CA = - AC (length CA is equal to AC but acting in opposite direction to AC)

and AB+BC = AC

To evaluate AB + BC + CA, we will substitute the vector expression above into the given expression and simplify as shown;

= (AB + BC) + CA

= AC + (-AC)

open the parenthesis

= AC-AC

= 0

Hence the sum of the vector expression AB + BC + CA is a zero vector

Given that x = −2 and y = 5, what is the value of 3x+4y−2

Answers

Answer:

12

Step-by-step explanation:

Note:

x = -2 ; y = 5

Plug in -2 for x and 5 for y.

3(-2) + 4(5) - 2

Remember to follow PEMDAS. First solve for multiplication, then combine:

3 * -2 = -6

4 * 5 = 20

-6 + 20 - 2

Combine like terms:

20 - 6 - 2 = 12

12 is your value.

~

Answer:

12

Step-by-step explanation:

When answering these types of problems make sure you simplify the expression before substituting

In this case it is not necessasry so substitute x for -2 and y for -5. The expression is now ...

3(-2) + 4(5) - 2

Now just add like term

-6 + 20 -2

12

Roxannee is buying suppliers for a catering job. She bought a piece of salmon for $31.28. If the cost of the salmon was $9.20 per pund, how many pounds did she buy? (Show your work)​

Answers

Answer:

she bought 3.4 pounds

Step-by-step explanation:

A carpenter built a triangular support structure for a roof. Two of the angles of the structure measure 37° and 55°. Find the measure of ∠RTP, the angle formed by the roof of the house and the roof of the patio. PLEASE HELP PLEASE HELP

Answers

Answer:

If you are asking for the last angle, it's 88 degrees.

Step-by-step explanation:

A triangle is 180 degrees. If you have two angles, then you subtract the two angels from 180 to get the last angle. 180 - 92 is 88 so yeah.

3.777... into a mixed number

Answers

Hey there! I'm happy to help!

Let's call our fraction x.

x=3.777......

We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.

We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.

10x=37.7777

-

x=3.77777

=

9x=34

We divide both sides by 9.

x=34/9=3 7/9.

Have a wonderful day! :D

A ranger in a lookout tower spots two fires on the campground below. Fire A is 75 meters east
and 40 meters south of the tower. Fire B is 37 meters west and 64 meters south of the tower.
If there is a fire hydrant located three-fourths of the way from Fire A to Fire B, find the location
of the fire hydrant relative to the tower.

Answers

Answer:

the fire hydrant is 9 meters west and 58 m south of the tower

Step-by-step explanation:

Fire A and Fire B can be represented as a point in the Cartesian coordinate with the tower as the origin. Fire A is 75 meters east  and 40 meters south of the tower, It can be represented as (75, -40).  Fire B is 37 meters west and 64 meters south of the tower,  It can be represented as (-37, -64).

If a point O(x, y) divides a line segment AB in the ratio n:m, with A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]), the point O(x, y) is at:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1\\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

The fire hydrant (x, y) divides Fire A(75, -40) and fire B(-37, -64) in the ratio 3:1(three fourth), hence:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1=\frac{3}{4}(-37-75) +75=\frac{3}{4}(-112)+75=-84+75\\x=-9 \\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1=\frac{3}{4}(-64-(-40))+(-40)= \frac{3}{4}(-18)-40=-18-40\\y=-58[/tex]

The fire hydrant is at (-9, -58). That is the fire hydrant is 9 meters west and 58 m south of the tower

The location of the hydrant relative to the tower is [tex]\left(-9, -58 \right)[/tex] meters.

How to locate the coordinates of the hydrant relative to the tower

In this question we should use the vectorial formula for a line segment to determine the coordinates of the hydrant relative to the tower ([tex]\vec C[/tex]), in meters:

[tex]\vec C = \vec A + r\cdot (\vec B - \vec A)[/tex] (1)

Where:

[tex]\vec A[/tex] - Coordinates of the fire A relative to the tower, in meters. [tex]\vec B[/tex] - Coordinates of the fire B relative to the tower, in meters. [tex]r[/tex] - Distance ratio.

Now we determine the location of the hydrant: ([tex]\vec A = (75, -40)\,[m][/tex], [tex]\vec B = (-37, -64)\,[m][/tex], [tex]r = \frac{3}{4}[/tex])

[tex]\vec C = (75,-40) + \frac{3}{4}\cdot [(-37,-64)-(75,-40)][/tex]

[tex]\vec C = (75,-40) + \frac{3}{4} \cdot (-112,-24)[/tex]

[tex]\vec C = (75,-40) + \left(-84, -18\right)[/tex]

[tex]\vec C = \left(-9, -58 \right)\,[m][/tex]

The location of the hydrant relative to the tower is [tex]\left(-9, -58 \right)[/tex] meters. [tex]\blacksquare[/tex]

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13188123

Which of the following is equal to 7.5 × 4? A. (7 × 4) + (0.5 × 7) B. (7 × 4) + (0.5 × 4) C. (7 + 4) × (0.5 + 4) D. (7 × 4) × (0.5 × 4)

Answers

Answer:

012

3

4

5

61

8

9

10 11 12

13 14

OA. 3

OB. 4

C. 5

D. 7

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Visna had 5 comic books. His brother gave him 4 more comic books. Visna bought some more comic books at the store. Now he has 15 comic books. How many comic books did Visna buy at the store?

Answers

He bought 6 more books

Answer:6

Step-by-step explanation:

5+4+× = 15

9+x=15

15-9=x

X=6

Sample A weighed 2.96 pounds, sample B weighed 3.8 pounds, and sample C weighed 4.417 pounds. How much more does sample C weigh than sample A? Betty collected another sample. Sample D weighed 0.67 pounds more than sample A. How much more does sample B weigh than sample D? 0.17 0.17 3.63 3.63 0.787 0.787 1.26

Answers

Answer:

4.417 - 2.96 = 1.457

3.8-3.63=0.17

Sample C weighs 1.457 more pounds than Sample A.

Sample B weights 0.17 more pounds than Sample D.

What is the inverse of g(x)= 1/x-1 and is it a function? 1/x Yes 1/x +1 Yes 1/x - 1 No 1/y-1 No

Answers

Answer:

Step-by-step explanation:

hello,

[tex]g(x)=\dfrac{1}{x-1}\\\\x=g(g^{-1}(x))=\dfrac{1}{g^{-1}(x)-1} \\ \\g^{-1}(x)-1=\dfrac{1}{x}\\ \\g^{-1}(x)=\dfrac{1}{x}+1=\dfrac{1+x}{x}[/tex]

And this is a function defined for x different from 0.

Thanks

Which fraction is equivalent to the fraction shown by this model. 12/9​

Answers

Answer:

4/3

Step-by-step explanation:

12/9 is equivalent to 4/3, because you can divide both the numerator and denominator by the common factor of 3 and that will give you the correct fraction: 4/3.

Hope this helped.

Dimensional analysis. An adult mosquito's lifespan is about 16 days. How many minutes is that?

Answers

Answer:

23040 minutes.

Step-by-step explanation:

Its 23040 minutes long because there are 60 minutes in an hour, an 24 hours in a day and 60 times 24 is 1440. Then you multiply 1440 by 16 which equals 23040.

PLEASE HELP ME WITH THIS TWO QUESTIONS I WILL MARK YOU BRAINLIEST PLEASE

The 8th graders are going to go on a field trip to see what their high school is like. There are 74 8th graders and their school has decided to rent vans to take them graders to the high school. If each van can fit 9 students, how many vans will their school need to hire?*PLEASE HELP I WILL MARK YOU BRAINLIEST

Summer workers for the Auster Landscaping Company make $14 an hour. One worker’s job was to create a stone wall for 4 hours. The client then gave the worker a $20 tip. How much money did the worker earn?**PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

1. you will need 9 buses. 2. the worker earned $76

Step-by-step explanation:

1. 74 8th grader, each bus fits 9 students. 74 divided by 9 = 8.2 repeated, so i rounded up to 9.

2. Worker makes $14 an hour for four hours, then is tipped $20. 14 x 4= 56.

56 + 20 = 76. therefore he mad $76.

Answer:

for the first question i believe it's 8 vans

for the second question it is 76 because if u multiply $14 by 4 hours it gets u 56 meaning that in 4 hours they earned $56, but then the client gave them $20 as a tip so they all earned $76 in total

mark brainliest if u want to

Step-by-step explanation:

what is (+21) ÷ (+7) =

Answers

Answer:

3

Step-by-step explanation:

what is 12x8 please tell me i need to know :) ")

Answers

Answer:

96

Step-by-step explanation:

10 x 8 = 80

2 x 8 = 16

so 80 + 16 = 96 :)

The equivalent value of the equation is A = 96

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 12

Let the second number be q = 8

Now , A = pq

On simplifying the equation , we get

A = 12 x 8

So , the left hand side of the equation is equated to the right hand side by the value of 12 x 8

On multiplying 12 times 8 , we get

A = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

A = 96

Therefore , the value of A = 96

Hence , the expression is A = 96

To learn more about equations click :

https://brainly.com/question/19297665

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PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :) ​

Answers

OML PLEASEGAJAHSJDBDJS thts crazy

Please and Thank youu

Answers

Answer:

5

Step-by-step explanation:

y = 2x - 3

{ x = 4 }

y = 2(4)-3= 8 - 3 = 5

I need help 2x+y=7 to solve for y

Answers

Answer:

X=7-y over 2

Step-by-step explanation:

Subtract yy from both sides.

2x=7-y2x=7−y

2 Divide both sides by 22.

x=\frac{7-y}{2}x=

​2

​7−y

​​  

The equation solved for y is  y=7-2x.

The given equation is 2x+y=7.

We need to solve the given equation for y.

How to solve an equation?

Solving equations is computing the value of the unknown variable still balancing the equation on both sides. An equation is a condition on a variable such that two expressions in the variable have equal value. The value of the variable for which the equation is satisfied is said to be the solution of the equation. An equation remains the same if the LHS and the RHS are interchanged.

Now, solving the equation for y, we get y=7-2x.

Put x=1, 2, 3, 4,....in the equation and find the y value.

So, put x=1 in equation  y=7-2(1)=5.

Put x=2, we get

y=7-2(2)=3

Verification: Put the ordered pair (1, 5) in the equation and verify.

That is, 5=7-2(1)

⇒5=5

Therefore, the equation solved for y is  y=7-2x.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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You buy a new wheel for your bicycle. Thaw diameter of the bicycle wheel is 22 inches.What is the radius of the bicycle wheel?What is the circumference of the bicycle wheel?What is the area of the bicycle wheel?

Answers

Answer:

R = 11

C ≈ 69.12

A ≈ 380.13

Step-by-step explanation:

R = d ÷ 2

C = 2πr

A = 2πr²

Someone please help me!!!

Answers

I believe the answer is B: -3/4.


Which is the decimal expansion of 7/22?
0.318
0.318
0.318
0.318

Answers

Answer: B

Step-by-step explanation: Cuz I got a calculator

Hope this helps

The decimal expansion of 7/22 is 0.3181818..., which means that the answer is [tex]0.3\overline{18}[/tex]

Option B is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the decimal expansion of 7/22, we need to perform a long division:

  0.3181818...

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

22 | 7.0000000

   6.6

   -----

   3.4

   3.3

   ---

     10

      8

      --

      20

      18

      ---

       20

       18

       --

        200

        198

        ---

          20

          22

          --

          -2

Now,

0.3181818 can be written as [tex]0.3\overline{18}[/tex]

Therefore,

The decimal expansion of 7/22 is 0.3181818..., which means that the answer is 0.3181818...

Learn more about expressions here:

https://brainly.com/question/3118662

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On Monday Ken spent half of his money on a new game. The next day he earned $12 mowing lawns. He now has #32. How much money did ken have before he bought the game?

Answers

Answer:

Step-by-step explanation:

ken has 64 dollars

part 3. Use the Laws of sines. Please show work. Round to the nearest tenth.​

Answers

Answer:

9) 47.1°

10) 23.0°

11) 33.0°

12) 22.0°

Step-by-step explanation:

Please see the attached pictures for full solution.

What is the range of this function?*
ТУ
5
1
Х
-5
0
-3
1
3
5
-3
-5
All Real Numbers
13.00
O Does Not Exist

Answers

Answer:

Hey there!

The range of this function is all numbers to three.

Thus, this can be expressed as (-∞, 3]

Let me know if this helps :)

This is a not graded question
Help!

Answers

The answer is B lm 100% sure

Jose Escalante worked at a skateboard shop for 40 hours at his regular wage of $7.50. He then worked for 8 hours at his overtime wage of time and a half. What is the total amount Jose earned?

Answers

He earned 300 not counting the overtime wage the total gross wage amount would be 390 TOTAL

A group of 4 children and 8 adults are going to the zoo. Each child tickets cost $10, and each adult tickets cost $15. How much will the group spend on tickets to the zoo?

Answers

Answer:

160

Step-by-step explanation:

4 times 10 is 40

8 times 15 is 120

add 40 plus 120 and get 160

Step-by-step explanation:

4×10+8×15

=40+120

=$160

All of the following represent the same expression except _____.

19 less than 25
25 less than 19
19 subtracted from 25
25 minus 19

Answers

Answer:

25 less than 19

Step-by-step explanation:

Required

Determine the odd one among the list of options

Start by taking the options one after the other;

1. 19 less than 25:

This implies 25 - 19

2. 25 less than 19

This implies 19 - 25

3. 19 subtracted from 25

This implies 25 - 19

4. 25 minus 19

This implies 25 - 19

From the above analysis, the off option is option (2);

Answer:

25 less than 19

Step-by-step explanation:

Required

Determine the odd one among the list of options

Start by taking the options one after the other;

1. 19 less than 25:

This implies 25 - 19

2. 25 less than 19

This implies 19 - 25

3. 19 subtracted from 25

This implies 25 - 19

4. 25 minus 19

This implies 25 - 19

From the above analysis, the off option is option (2);

People wait for sales to_______

1. buy the most goods

2. get the best price for a good

Answers

2. get the best price for a good

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