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
Your cousin is 8 years older than your brother. Three years ago, your cousin was twice as old as your brother. How old is your c
ValentinkaMS [17]

Answer:

19 and 11

Step-by-step explanation:

8 0
4 years ago
Select the slope-intercept form of an equation for a line with y-intercept -2 and slope 6.<br>​
ozzi

Answer:

y = 6x - 2

Step-by-step explanation:

slope intercept form is y = mx + b

m = slope

b = y-intercept

They give us the slope (m) which is 6 and the y-intercept (b) which is -2. PLug it into the equation

y = mx + b

y = 6x - 2

3 0
3 years ago
At a local clothing store, Morgan finds they are having a storewide 40% off sale. She also has a $15 coupon which applies to her
LuckyWell [14K]

Morgan should first take the 40% off then apply the $15 coupon

Lets say her total was $150.

If you take the 40% off first, you get $90

150 * .6 = 90 (since you are taking off 40% you are still paying the rest of the 60% so you can just save extra steps by multiplying by .6 and not .4)

Now you subtract 15 from that value.

90 - 15 = 75 If Morgan takes the 40% off first and then applies the $15 dollar coupon, she has to pay $75.

If she applies the $15 coupon first, her total before the 40% is $135

150 - 15 = 135

The total will come out to be $81

$135 * .6 = 81

If Morgan takes the discount first before applying the coupon she has to pay less and saves the most money.

5 0
3 years ago
I'm completely lost. I don't know what to do at all.
timama [110]
If you are given 2 points, it's easy to find the slope.
(8, -6)
(3, -2)

slope = (y₂ - y₁) / (x₂ - x₁)
slope = (-2 + 6) / (3 - 8)
slope = (4) / (-5)
m = 4/-5 or -5/4 or 
3 0
3 years ago
Which shows one way to determine the factors of 12x3 – 2x2 18x – 3 by grouping?.
Ksenya-84 [330]

The equation which shows the one way to determine the factors of provided equation by grouping is,

2x^2(6x-1)+3(6x-1)

<h3>What is a factor of polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The provided polynomial equation is,

12x^3 - 2x^2 +18x - 3

To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.

12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)

Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,

2x^2(6x-1)+3(6x-1)

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
2 years ago
Other questions:
  • Two cards are chosen at random from a standard deck of 52 cards without replacement. What is the probability of choosing two kin
    10·1 answer
  • What is a number increased by 15 is 38
    9·1 answer
  • I need help fast thank you
    8·1 answer
  • Solve this equation(15x^3- 2)^3= 2197
    14·1 answer
  • A car traveled 100 miles in 10 minutes, what was the car's average speed ?
    12·2 answers
  • PLEASE HELP ILL GIVE MORE IF ITS RIGHT
    13·1 answer
  • A printer Prints 4 pages vper minute. How long would it take to print 204 pages​
    11·2 answers
  • ASAP PLZ I'LL MARK BRAINLIEST<br><br>What is 8/9 ÷ 2/3?​
    8·1 answer
  • . The ratio of a circumference to diameter is​
    12·1 answer
  • What is the probability that a randomly selected date in the year 2021 is not in the month of October or
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!