8. Twice the greatest of three consecutive integers is 10 more that the smallest integer. Find the 3 integers.

Answers

Answer 1

Answer:

6, 7, 8

Step-by-step explanation:

Let the smallest integer be x.

The next greater one is x + 1.

The greatest of the three is x + 2.

Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.

2(x + 2) = x + 10

Solve the equation for x to find the smallest of the integers.

2x + 4 = x + 10

x = 6

The next one is x + 1.

x + 1 = 7

The greatest is x + 2.

x + 2 = 8

Answer: 6, 7, 8

Answer 2

Answer:

6, 7, 8

Step-by-step explanation:

You can set up variables to represent each of these integers.

For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.

Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.

Next solve for x using PEMDAS.

1. (x) + 10 = 2(x + 2)

2. x + 10 = 2x + 4

3. 2x - x = 10 - 4

4. x = 6

Now you can find the other integers by adding 1 and 2 to 6.

The correct answers should be 6, 7, 8.


Related Questions

If DEF=GJH, find each missing measure

a) DF =

d) F =

b) JH =

|||

e) m&G =

c) GJ =

f) m =

I need help it’s due in 20 minutes:(

Answers

Congruent triangles have equal corresponding sides and angles.

The measure of the side lengths are: [tex]\mathbf{DF = 16m}[/tex], [tex]\mathbf{JH = 14m}[/tex] and [tex]\mathbf{GJ = 19m}[/tex]The measure of the angles are: [tex]\mathbf{\angle G = 34^o}[/tex], [tex]\mathbf{\angle J = 41^o}[/tex] and [tex]\mathbf{\angle F = 105^o}[/tex]

The given parameters are:

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]

[tex]\mathbf{EF = 14m}[/tex]

[tex]\mathbf{D E = 19m}[/tex]

[tex]\mathbf{GH = 16m}[/tex]

[tex]\mathbf{\angle D = 34^o}[/tex]

[tex]\mathbf{\angle H = 105^o}[/tex]

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.

So, we have:

[tex]\mathbf{DF = GH}[/tex]

This gives

[tex]\mathbf{DF = 16m}[/tex]

Also, we have:

[tex]\mathbf{JH = EF}[/tex]

This gives

[tex]\mathbf{JH = 14m}[/tex]

Also, we have:

[tex]\mathbf{GJ = DE}[/tex]

This gives

[tex]\mathbf{GJ = 19m}[/tex]

The following angles are also congruent

[tex]\mathbf{\angle F = \angle H}[/tex]

This gives

[tex]\mathbf{\angle F = 105^o}[/tex]

Also, we have:

[tex]\mathbf{\angle G = \angle D}[/tex]

This gives

[tex]\mathbf{\angle G = 34^o}[/tex]

The measure of angle J is then calculated using

[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]

This gives

[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]

[tex]\mathbf{\angle J + 139= 180^o}[/tex]

Subtract 139 from both sides

[tex]\mathbf{\angle J = 41^o}[/tex]

Read more about congruent triangles at:

https://brainly.com/question/4364353

PLEASE HELP GIVING BRAINLIEST

Answers

Answer:

x=16.9+34.6

x=51.5

.............................

[tex]x - 16.9 = 34.6 \\ x = 34.6 + 16.9 \\ x = 51.5[/tex]

- BRAINLIEST answerer

Answer question 3 and also I will give you brainiest if you give the correct answer hurry!!!

Answers

To find the rate of change, you look at how much the y value increases with a change of 1 x. We see that as x increases from 1 to 2, y increases from 120 to 144. Then we subtract 144-120 to find the rate of change, which is just 24 (also note that x changes by 1 here).

Then for the initial value:
We see that y increases by 24 for 1 x, so subtracting the value at x=1 by 24 we get 120-24 = 96, which is the initial value.

Hope this helps

A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)

Answers

Answer:

#carryonlearning

Step-by-step explanation:

#carryonlearning

Write your answer as an equation with f(x) first, followed by and equals sign.

Answers

Answer:

Step-by-step explanation:Explanation ily/3fcEdSxs[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]

What single decimal multiplier would you use to decrease by 19% followed by
a 10%
Increase

Answers

Answer:

1.26 is the single decimal multiplier

Step-by-step explanation:

Answer:

Answer: 1.26 is the single decimal multiplier.

Step-by-step explanation:

micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?

explanation is needed

Answers

The number of miles each person runs after an hour is;

Michael Anthony = 9 miles

Jocelyn = 8 miles

The person that runs the fastest is;

Michael Anthony with a speed of 0.15 miles per minute.

Michael-Anthony runs 3 miles in 20 minutes

Now formula for speed is;

Speed = distance/time

Thus;

Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute

Thus, in 1 hour = 60 minutes,

Distance covered = 3/20 × 60

Distance covered = 9 miles

Jocelyn runs 4 miles in 30 minutes

Speed of Jocelyn = 4/30 = 0.133 miles per minute

Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles

Read more about distance, time and speed relationship at; https://brainly.com/question/3267354

Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph

I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?

Answers

Answer:

Step-by-step explanation:

Antonia earns $6 per hour helping her grandmother. Write and solve an equation to find how many hours she needs to work to earn $48.

Answers

Answer:

48 = 6h

48 = 6 x 8

48 = 48

Step-by-step explanation:

Let e equal her earning and h equal the amount of hours worked. You would divide 48 by 6 to find that she works 8 hours.

Please help will give brainlest

Question 67x3-34+49x2

Answers

Answer:

265

Step-by-step explanation: Used a Calculator

Answer:

[tex]67x^{3} + 49x^{2} -34[/tex]

hopes this helps

HELP ME ANSWER THIS PLEASE

Answers

Answer:

I think it is -162

Step-by-step explanation:

What is the result when the number 10 is increased by 20%?

Answers

Answer:

1.20 percent

Step-by-step explanation:

The equation y=−15x+12 is the slope-intercept form of which equation?


5x+13y−4=05 x plus 1 third y minus 4 is equal to 0

−y15+12=xnegative y over 15 plus 12 is equal to x

y−5x=−4y minus 5 x is equal to negative 4

y−15x=−12

Answers

I honestly don't know but I think it would come out to be 4/5

Trust Officer Megan is the trust officer for an estate. If she
invests $15,000 into an account that carries an interest rate
of 8% compounded monthly, how long will it be until the
account has a value of $45,000 for Megan's client?
a

Answers

Answer:

????????

Step-by-step explanation:

i don't know if I can help with the subject line

-3(a-6)=-(4a-6)-3a
solve

Answers

Answer:

a = -3

Step-by-step explanation:

-3(a-6)=-(4a-6)-3a

-3a+18 = -4a+6-3a

-3a+18 = -4a-3a+6

-3a+18 = -7a+6

-3a+7a = 6-18

4a = -12

4a/4 = -12/4

a = -3

What is 2.4 divided by 1.2?

Answers

Answer:

Your answer should be 2.

The answer would be 2

A rectangular prism is 7.1 millimeters long and 10 millimeters high. Its volume is 213.0 cubic millimeters . What is the width of the rectangular prism?

Answers

Answer:

5 milimeters

Step-by-step explanation:

help me free brainleist if you help

Answers

Answer:

4th one

Step-by-step explanation:

solve pls brainliest

Answers

Step-by-step explanation:

first you need m and m is -15/5 that means -3

your function is mx =y so your function is -3x= y

5 / 1 - 15 :) !!!$!!!

BRAINLIEST
Can I get some help on this assignments it’d take a lot of stress away from me

Answers

Answer:

Question=Q

Q2=18.9

Q3=26.7

Q4=24.8

Q5=35.6

Here are some answers

Remember if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Have a wonderful day!

The cube has an edge of 1/4. What is the volume of the cube?

Answers

Step-by-step explanation:

V = Volume of cube

a = edge of cube

Formula of volume of cube:

V = a³

[tex]V = { (\frac{1}{4}) }^{3} \\ V = \frac{1}{64} [/tex]

Volume of the cube = [tex] \frac{1}{64} [/tex]

Easy maths question 20 points and brainliest

Answers

Answer:

a = 2; b = 1 and c =3

Step-by-step explanation:

2(q +p) = 1 + 5q

2q + 2p = 1 + 5q

2p = 1 + 3q

2p - 1 = 3q

[tex]\frac{2p -1}{3} = q[/tex]

300
O
3) What is the value of x?
69'
7090
7100
3D

Answers

Answer:

71°

Step-by-step explanation:

exterior angle = sum of two opposite interior angle

142°=2x°

x°=142°/2

x°=71°.

hope this helps you.

y = 147° ( Vertically opposite angles)

[tex]y + x + x = 180° \\ 147 + 2x = 180° \\ 2x = 180 - 147 \\ 2x = 33 \\ x = \frac{33}{2} \\ x = 16.5[/tex]

which one does not belong and justify your answer

Answers

Yellow

they all are in some sort of line except for yellow

Find the side length of the triangle.

Answers

Answer:

a=12

Step-by-step explanation:

brainlest if this helped so much !

Answer:

Its A. 12

Step-by-step explanation:

Hope this helps!

can you guys help me

5x3+7=50? this is g.e.m.d.a.s

Answers

Answer:

It's 27

Step-by-step explanation:

5x3 = 15 + 7 =27

Three of six people are to be selected and given sinall prizes. One will be
given a book, one will be given a cal cul ator, and one will be given an iTunes
card. In how many different ways can these prizes be awarded?

Answers

Answer:

The three prizes can be awarded in 6 different ways

Step-by-step explanation:

1. P1 - Book; P2 - Calc; P3 - Card

2. P1 - Book; P2 - Card; P3 - Calc

3. P1 - Calc; P2 - Card; P3 - Book

4. P1 - Calc; P2 - Book; P3 - Card

5. P1 - Card; P2 - Book; P3 - Calc

6. P1 - Card; P2 - Calc; P3 - Book

The value of the digit 8 in 1,857 is how many times the value of the digit 8 in 3,083?

Answers

Answer:

10 times

Step-by-step explanation:

The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.

Help me please????!!!

Answers

Answer:

Helene invested $700 in the 5% interest account and $500 in the 10% interest account.

Step-by-step explanation:

The sum of two numbers is x . If one of the numbers is 12, what is the other?

Answers

Answer:

x-12

Step-by-step explanation:

let us say that the other number is n. then we have n+12=x or n=12-x

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