1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PSYCHO15rus [73]
3 years ago
8

find three consecutive even integers so that the twice the sum of the second and third is twelve less than six times the first

Mathematics
1 answer:
zysi [14]3 years ago
4 0

n, n + 2, n + 4 - three consecutive even integers

the twice the sum of the second and third: 2[(n + 2) + (n + 4)]

twelve less than six times the first: 6n - 12

The equation:

2[(n + 2) + (n + 4)] = 6n - 12

2(n + 2 + n + 4) = 6n - 12

2(2n + 6) = 6n - 12       <em>use distributive property</em>

(2)(2n) + (2)(6) = 6n - 12

4n + 12 = 6n - 12       <em>subtract 12 from both sides</em>

4n = 6n - 24       <em>subtract 6n from both sides</em>

-2n = -24        <em>divide both sides by (-2)</em>

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

<h3>Answer: 12, 14, 16</h3>
You might be interested in
In the following figure, the value of x is____
zubka84 [21]

Answer:

x ≈ 8.3 ( to the nearest tenth )

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos41° = \frac{adjacent}{hypotenuse} = \frac{BC}{AB} = \frac{x}{11}

Multiply both sides by 11

11 × cos41° = x, thus

x ≈ 8.3

7 0
4 years ago
Evaluate each expression for g = -7 and h = 3 and match it to its value.
Arturiano [62]

Answer:

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Step-by-step explanation:

Given values of g and h are:

g = -7

h = 3

<u>1. gh</u>

The two numbers are being multiplied

Putting the values

gh = (-7)(3) = -21

<u>2. g^2-h</u>

Putting the values

=(-7)^2-3\\=49-3\\=46

<u>3. g+h^2</u>

Putting the values

= -7 + (3)^2\\=-7+9\\=2

<u>4. g+h</u>

Putting the values

= -7+3\\=-4

<u>5. h-g</u>

Putting the values

= 3 - (-7)\\=3+7\\=10

<u>6. g-h</u>

Putting values

=-7-3\\=-10

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

4 0
3 years ago
Read 2 more answers
A plumber charges $25 for a service call plus $50 per hour for service. Write a linear equation in slope-intercept form to repre
Reptile [31]

Answer:

y= $50x + $25

Step-by-step explanation:

Slope-intercept form is y=mx+b

x is something that is constant

b is something you add on to the constant

5 0
3 years ago
What is 2.40 before a 30 percent discount
artcher [175]
2.40 before a 30% discount is 0.72
7 0
3 years ago
Read 2 more answers
Write and equation to find the nth term of each sequence. Then find a24 <br> -4,-9,-14,-19
rjkz [21]

Answer:

arithmetic progression problem

5 0
3 years ago
Other questions:
  • Sally and her husband Jim left their house at the same time traveling in the same direction. Sally drove at 55mph and Jim drove
    6·1 answer
  • Two cards are drawn without replacement from an ordinary deck, find the probabaility that the second is a face card, given thath
    10·1 answer
  • How do you solve this problem?
    7·1 answer
  • Write a system of equations to describe the situation below, solve using substitution, and fill
    8·1 answer
  • Solve using substitution:<br> 2x - 3y = -1<br> y = x - 1
    12·1 answer
  • Picture shown. what is the volume of the rectangular pyramid?
    14·1 answer
  • A store sold 655 bicycles last year. This year the store sold 582 bicycles. What is the percent of change in the number of bicyc
    8·1 answer
  • 1.7x0.825<br> 0.24x3.3<br><br> Pls help thx
    14·2 answers
  • I will give brainliest
    15·2 answers
  • Pls help me i’m really not to sure about this question
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!