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
REY [17]
2 years ago
11

Find three consecutive even integers if three times the first integer is two times the third

Mathematics
1 answer:
Andreyy892 years ago
4 0

Answer:

Step-by-step explanation:

Smallest Integer = 2x - 2

Middle integer = 2x

Largest integer = 2x + 2

All three are every

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

6x - 6 = 4x + 4                Add 6 to both sides

6x = 4x + 6 + 4               Combine

6x = 4x + 10                    Subtract 4x from both sides

6x-4x = 10                      Combine

2x = 10                           Divide by 2

x = 10/2

x = 5

  • 2x - 2 = 2*5 - 2 = 8
  • 2x =                     10
  • 2x+2                    12

3*8 = 2*12

24 = 24

So the answers are correct.

You might be interested in
Help plz : 4x-2(x-3)=10+(-9)
Dominik [7]
Distribute -2(x - 3)

4x - 2x + 6 = 10 + -9

Simplify

2x = -5

x = -2.5
7 0
3 years ago
Read 2 more answers
What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2
satela [25.4K]

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

If y = 2\cdot x + 3 is a line <em>tangent</em> to the parabola y = c\cdot x^{2}, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:

2\cdot c \cdot x = 2 (1)

Then, we have the following system of equations:

y = 2\cdot x + 3 (1)

y = c\cdot x^{2} (2)

c\cdot x = 1 (3)

Whose solution is shown below:

By (3):

c =\frac{1}{x}

(3) in (2):

y = x (4)

(4) in (1):

y = -3

x = -3

c = -\frac{1}{3}

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

3 0
2 years ago
The cloth shop has announced a reduction in price by 25%. How many shirts priced at Rs 28 should buy to avail a total reduction
Drupady [299]

Answer:

At least 6 shirts should be brought to avail a total reduction of Rs 40.

Step-by-step explanation:

The marked price of each shirt = Rs 28

Discount offered = 25%

So, 25% of marked price  28 = \frac{25}{100}  \times 28 = 7

⇒Reduction on each shirt is Rs 7

Now, total amount reduction needed = Rs 40

So, number of shirts purchased = \frac{\textrm{Total reduction needed}}{\textrm{Reduction on each shirt}}

= 40  Rs /7  Rs  =  5. 71  ≈  6

So, at least 6 shirts should be brought to avail a total reduction of Rs 40.

5 0
3 years ago
HELP ASAP solve the equation using the properties of equality.<br><br><br>89= -5d+9
sergey [27]

Answer:

d = -16

Step-by-step explanation:

Step 1: Write equation

89 = -5d + 9

Step 2: Solve for <em>d</em>

<u>Subtract 9 on both sides:</u> 80 = -5d

<u>Divide both sides by -5:</u> -16 = d

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

89 = -5(-16) + 9

89 = 80 + 9

89 = 89

8 0
3 years ago
. Add and reduce to lowest terms: 3 + 8/15
makkiz [27]

Answer:

11/15

Step-by-step explanation:

Add 3 to the numerator which is 8 and that would equal 11 so your complete fraction should be 11/15.

5 0
2 years ago
Read 2 more answers
Other questions:
  • How to put a fraction into a ti 84 plus graphing calculator?
    5·1 answer
  • class A folds 160 fewer paper cranes than class B and 2/3 as many paper cranes as class C. Class B folds 92 more paper cranes th
    14·1 answer
  • What is the answer or al lest some help
    12·1 answer
  • So i need a example with a bar model and equations
    13·1 answer
  • Can someone please answer my question please answer it correctly please show work please I need it
    11·2 answers
  • Triangle Sums***GRADED 1 of 51 of 5 Items #1 Triangle RST is shown. What is the measure of ∠T? Record your answer and fill in th
    8·1 answer
  • PLZZZZZZZZZZZZZZZZZ HELP!
    14·1 answer
  • PLS ANSWER IM MARKING BRAINLEST IF YOU CORRECT
    10·2 answers
  • For friends went to a restaurant in bought Two large pizzas and if each pay 5.25 how much was each pizza
    12·1 answer
  • Raven is building a new planter for her class garden.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!