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
mixas84 [53]
3 years ago
14

Find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the la

rgest number.
Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

<h3>              10, 12, 14</h3>

Step-by-step explanation:

Consecutive even integers increase by 2.

x   ← an integer

2x  ← an even integer (the smallest)

2x+2   ← next even integer consecutive to 2x (the middle one)

2x+2+2=2x+4  ← the last even integer consecutive to 2x+2 (the largest)

2(2x+2)    ← twice the middle number

2x+2(2x+2)   ←  the sum of the smallest number and twice the middle

2x+4+20   ←  20 more than the largest number

2x + 2(2x + 2) = 2x + 4 + 20

2x + 4x + 4 = 2x + 24

            -4           -4

            6x = 2x + 20

         -2x       -2x

            4x = 20

            ÷2     ÷2

            2x = 10

2x+2 = 10+2 = 12

2x+4 = 10+4 = 14

You might be interested in
Please help what is the square root of 4774858 please help
Ad libitum [116K]

The square root of this is:

√ 4774858= 2185.145 or 2185.14

4 0
2 years ago
Construct a 95​% confidence interval to estimate the population mean using the data below. x overbarequals37 sigmaequals10 nequa
kap26 [50]

Answer:

With 95% confidence when n equals 44, the population mean is between a lower limit of 33.96 and an upper limit of 40.04

Step-by-step explanation:

Confidence Interval = mean + or - Error margin (E)

mean = 37

sd = 10

n = 44

degree of freedom = n - 1 = 44 - 1 = 43

t-value corresponding to 43 degrees of freedom and 95% confidence level is 2.0165

E = t × sd/√n = 2.0165×10/√44 = 3.04

Lower limit = mean - E = 37 - 3.04 = 33.96

Upper limit = mean + E = 37 + 3.04 = 40.04

95% confidence interval is between 33.96 and 40.04

7 0
3 years ago
A space shuttle orbits Earth at a speed of 21,000 km/hr. How far will it travel in 5 hours?
tresset_1 [31]
<span>21,000*5
since it travels 21,000 per hour and there is five hours. it's just simple substitution.
105,000 is the correct answer.</span>
7 0
2 years ago
Read 2 more answers
Pi x 36 - 16<br> Need help on this please answer appropriate.
Bad White [126]

Answer:

To do this question, we must first convert Pi to a decimal form, as shown below:

Pi = 3.14

So then our equation becomes:

3.14 x 36 - 16

We still need to remember PEMDAS.

Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

So according to PEMDAS, we need to do 3.14 x 36, which equals 113.04

Now we have to do:

113.04 - 16 = 97.04

Our answer is 97.04

<u><em>Hope this helps - genius423</em></u>

4 0
2 years ago
Find the X and Y intercept of line 2x+3y=-12<br><br> X-intercept -<br><br> Y- Intercept-
vivado [14]

Answer:

  • Let us rearrange
  • 3y=-2x-12
  • y=-2/3x-4
  • So y intercept is -4
  • I also do exams and quizzes if your interested :)
7 0
2 years ago
Other questions:
  • What is the value of x?
    6·1 answer
  • What is 30/4 as a mixed fraction
    5·1 answer
  • What is log5(4*7)+log5^2 as a single log?
    12·2 answers
  • An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research de
    7·1 answer
  • A standard six-sided die is thrown. What is the probability that the number that comes up is less than or equal to 4?
    11·1 answer
  • Which shape does the intersection of the horizontal plane with a prism look like
    7·1 answer
  • Please Help.<br> Algebra.
    12·1 answer
  • Pls help me with this
    14·1 answer
  • Help meeeeeee!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • Which expression is equivalent to?<br> Please help me quick!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!