find three consecutive even intergers such that the sum of the smallest number and twice the middle number is 20 more than the largest number

Answers

Answer 1

Answer:

10, 12, 14

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let (x+2) be equal to the next even integer.

Let (x+4) be equal to the largest even integer out of the three.

We're given:

⇒ smallest number + (2 × middle number) = 20 + largest number

Construct an equation:

[tex]x+2(x+2)=20+(x+4)[/tex]

Combine like terms:

[tex]x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10[/tex]

Therefore, the smallest integer is 10, making the next two even integers 12 and 14.

I hope this helps!


Related Questions

Find the value of DE.

Answers

Answer:

9

Step-by-step explanation:

DE = AE-AD

= 27-18

= 9

THANKS

Kayla found the difference of 32 and 18. What is the difference?

Answers

Step-by-step explanation:

Just Subtract

32-18

14 Answer

Answer:

Answer is 14

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

- I am a multiple of 5
- My hundreds digit is equal to my tens digit
- the sum of my digit is 19
what number am I?

Answers

Answer:

The number is 775

7=7

7+7+5=19

775 is a multiple of 5

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

Answer:

31 yards

Step-by-step explanation:

If she has $12.83 left, that means she spent $2.17 out of the $15

15 - 12.83 = 2.17

One cent is .01 of a dollar

So that would be $0.07 per yard

To find the number of yards, we need to divide the total amount she spent by the price per yard.

2.17 ÷ 0.07 = 31

I need help ): can someone tell me the answer to this?

Answers

the answer is 10 teams

Solve to find the variable 8t+4(20.55-t)=138

Answers

1) Distribute
2) Add similar values
3) Subtract
4) Divide
t = 13.95

Are points C,G, and H collincar or noncollincar?

Answers

Answer:

not co linear

Step-by-step explanation:

co linear means on the same straight line. CG is on one line. HG is on another. The might be at right angles,, but they are not colinear.


Hit link will take you to my question, I have been stuck on it for about 30 minuets as I know I have the right answer but its not taking it.

Answers

Answer:

The link is not attached

what is the Domain of this?

Answers

Answer: The domain is 3/7, -6, and 4.

Step-by-step explanation:

In the case of rational expressions, we can input any value except for those that make the denominator equal to 0 (since division by 0 is undefined). In other words, the domain of a rational expression includes all real numbers except for those that make its denominator zero.

As the other answer mentioned, x = -6 and x = 4 are not in the domain, since they both make the denominator equal to zero, and thus the overall expression undefined. But x = 3/7 is allowed, since f (3/7) = 0.

Every other real number is also acceptable.

In interval notation, the domain is then

[tex](-\infty,-6) \cup (-6,4) \cup (4, \infty)[/tex]

Which of the following is equal to 3,409?
A. (3 x 104) + (4 x 10²) + (9 x 10')
B. (3 x 103) + (4 x 102) + (9 x 10°)
.
C (3 x 10 ) + (4 x 10') + (9 x 10')
D. (3 x 10) + (4 x 102) + (9 x 10')

Answers

Answer:

B

Step-by-step explanation:

3,409 = 3000+400+9

= (3× 10³)+ (4×10²)+(9×10°)

the answer is B

Solve each inequality.
-6 + 2a ≥ 22 OR 10 + 3a ≤ 22

Answers

Answer: a ≥ 14 or a ≤ 4

8
Mike studied for 0.8 of an
hour. What is this decimal
as a fraction, in lowest
terms?

Answers

Answer:

8/10 = 4/5

Step-by-step explanation:

A recipe uses 5 cups of milk to make 30 servings. If the same amount of milk is used for each serving, how many servings can be made from one pint

Answers

Answer: 12 servings with one pint.

1 pint = 2 cups

Step-by-step explanation:

5 cups make 30 servings, 2 cups make x servings

5/30 = 2/x (cross multiplication)

(30 * 2)/5 = 12

Write this expression in its most simplified, factored form.

12x2y − 32xy + 8y

Answers

Answer:

[tex]4y(3x^2-8x+2)[/tex]

Step-by-step explanation:

Factor [tex]4y[/tex] out of [tex]12x^2y-32xy+8y[/tex]

Answer:

4y(3x^2-8x+2)

Step-by-step explanation:

need some help please

Answers

Answer:

-0.83 is the answer

Step-by-step explanation:

hope it was useful

Which is true when a negative number is subtracted from a positive number?
A. The difference is always zero.
B. The difference is always positive.
C. The difference is always negative,
D. The difference could be positive or negative

Answers

Answer:

D is the correct answer

Step-by-step explanation:

it honestly depends on what the numbers are

for example, 12 -6, you would get 6.

but if the question is something like 4 -8, you'd have -4

Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.
So it’s d

Which inequality represents the solutions to 15 + 3x > 6?
A. O x<0
B.Ox<-3
C. O x>-3
D. O x>-5

Answers

[tex]15+3x\gt6[/tex]

[tex]3x\gt-9[/tex]

[tex]x\gt-3[/tex]

The answer is C.

Hope this helps :)

Answer:

C. x>-3

Step-by-step explanation:

3x> 6-15

x> -9/3

x>-3

What is 409/2 as a mixed number? :)

Answers

Answer: [tex]204\frac{1}{2}[/tex]  :)

Step-by-step explanation:

-3+8=-10 solve for x 9th grade math plz help

Answers

Answer:

x/3+8 = 10 // - 10

x/3-10+8 = 0

1/3*x-2 = 0 // + 2

1/3*x = 2 // : 1/3

x = 2/1/3

x = 6

x = 6

Step-by-step explanation:

hope that helps>3

Answer:

N/A (No answer)

Step-by-step explanation:

Because x is not included in the expression. Please correct the equation

Combine the like terms to create an equivalent expression:
-k-(-8k)

Answers

-k+8k
7k. Is the answer

Answer and Step-by-step explanation:

We are given the terms -1, k, -1, -1, and 8k.

Here is where those terms are found.

-1(k) -1( -1(8k) )

Distribute all of the negative ones.

-k -(-8k)

-k + 8k   _*

* How did we get positive 8k?

- When multiplying two negative numbers, which in this case was -1 and -8k, the result is positive. Thus, giving us positive 8k.

Now, combine like terms.

7k

The answer is 7k.

#teamtrees #PAW (Plant And Water)

I hope this helps!

can uh help me sloving me thesequestion step by step​

Answers

Answer:

12/2 38 92/5a 2b

Step-by-step explanation:

what is 3.87298335 as a short decimal ???????????????????????? HELP PLS

Answers

Answer: 3.87 or 3.873

Explanation: You can always shorten it just make sure to round up the last number if it needs to be. Like how I rounded the 2 up to a 3 because the number after it is above 5.

Answer:

rounding up

Step-by-step explanation:

i'm pretty sure your answer is 3.8729

Find the square root of 529.

Answers

the Square root of 529 is 23

6. Use the distributive property to
multiply and write the expression
without parentheses. Combine like
terms to simplify.
8(2x - 9y) + 4(-3x + y) =

Answers

Answer:

8(2x - 9y) + 4(-3x + y) simplified is 4x-28y

point G of a line segment GF is at coordinate (2,5). The midpoint for line GF is at (5,1). What are the coordinates of point F

Answers

Answer:

5 and 1

Step-by-step explanation:

GF GF

2;5 5;1

the number that is straight to F are its coordinates .

5 and 1.

What is 3.82 as a fraction or mixed number in simplest form?

Answers

sjuwgenow it sygwvejsuye and wvsbsjisyeg BB usuhsu crim edd

Answer:

so the fraction for 3.82 is 3 41/50

GIVING OUT BRAINLIEST! Please help!!!

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please help as soon as possible.. I don5 understand..

Answers

Answer:

slope is -3

Hope it helps ..

why you posting same type of questions continuously

An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?

Answers

Answer:

3.33%

Step-by-step explanation:

60 = theoretical/actual degree measure

62 = experimental/calculated degree measure

% error = (|actual - calculated|/actual)*100

In words, the absolute value of the actual value minus the calculated value is first calculated. Then, divide the difference by the actual value that you should have obtained. Since you want this converted to a percent, multiply the decimal value of your quotient by 100.

Three significant figures is 3.33 because none of these numbers are leading or trailing zeros. If you count how many numbers (that are not leading or trailing zeros) the value 3.33 has, you'll find 3 significant figures, which is why your final answer should be 3.33%.

Find the value of x

(look at screenshot below)

Answers

Answer:

x = 25

Step-by-step explanation:

120 = 70 + 2x

120 - 70 = (70 - 70) + 2x

50 = 2x

50/2 = 2x/2

x = 25

Answer:

Answer:

x = 25

explanation:

120 = 70 + 2x

120 - 70 = (70 - 70) + 2x

50 = 2x

50/2 = 2x/2

x = 25

hope this helps :)

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