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
allochka39001 [22]
3 years ago
15

The sum of 6 consecutive integers is 519. What is the third number in this sequence?

Mathematics
2 answers:
egoroff_w [7]3 years ago
5 0
<span>let x be the first integer, then
:
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
:
6x + 15 = 519
:
6x = 504
:
x = 84</span>
Lana71 [14]3 years ago
5 0
<span>6 consecutive integers
x, x+1, x+2, x+3, x+4, x+5

</span><span>sum of 6 consecutive integers is 519
</span>x+ x+1+ x+2+ x+3+ x+4+ x+5 = 519
<span>6x + 15 = 519
6x = 504
x  = 84

</span><span>84 +1 = 85
84 +2 = 86
84 +3 = 87
84 +4 = 88
84 +5 = 89
</span><span>
answer:</span> third number in this sequence = 86<span>

</span>
You might be interested in
The next 10 months Colin wants to save $900 for his vacation he plans to save $75 each of the first eight months how much must h
Makovka662 [10]
$300 because 300x2=600 then 75x8=300 and 600+300=900
5 0
3 years ago
What is the variable x in 40+10x=5x-30
konstantin123 [22]

40 + 10x = 5x - 30

To begin isolating x, subtract 40 from both sides.

40 + 10x - 40 = 5x - 30 - 40

10x = 5x - 70

Subtract 5x from both sides.

10x - 5x= 5x - 70 - 5x

5x = -70

Finally, divide both sides by 5.

5x/5 = -70/5

x = -14

Answer:

x = -14

4 0
3 years ago
Help please! Will pick the Brainliest.<br> (sorry if it’s sideways)
KatRina [158]

1.

(x^2y^8)^\frac{2}{3}=x^{2\cdot\frac{2}{3}}y^{8\cdot\frac{2}{3}}=x^{\frac{4}{3}}y^{\frac{16}{3}}=x^{1\frac{1}{3}}y^{5\frac{1}{3}}=x^1x^\frac{1}{3}y^5y^\frac{1}{3}=xy^5\sqrt[3]{x}\sqrt[3]{y}=\boxed{xy^5\sqrt[3]{xy}}

Answer B)

2.

\frac{1}{3}\left(\frac{2}{15}x-\frac{2}{3}\right)>x+\frac{1}{5}\quad|\cdot3\\\\\\\frac{2}{15}x-\frac{2}{3}>3x+\frac{3}{5}\quad|\cdot15\\\\\\2x-\frac{30}{3}>45x+\frac{45}{5}\\\\2x-10>45x+9\\\\-10-9>45x-2x\\\\-19>43x\quad|:43\\\\\boxed{x

Answer B)

3.

\sqrt{14xy}\cdot\sqrt{12}\cdot\sqrt{30y}=\sqrt{14\cdot12\cdot30}\cdot\sqrt{xy^2}=\sqrt{2\cdot7\cdot3\cdot4\cdot2\cdot3\cdot5}\cdot\sqrt{xy^2}=\\\\=\sqrt{2^2\cdot3^2\cdot2^2\cdot5\cdot7}\cdot\sqrt{xy^2}=2\cdot3\cdot2\cdot\sqrt{35}\cdot y\cdot\sqrt{x}=\boxed{12y\sqrt{35x}}

3 0
3 years ago
Which of the following expressions are equivalent to this expression:
Gekata [30.6K]

The original expression is equal to 0 because anything multiplied by 0 is equal to 0. Solve inside the brackets for the possible answer choices to find what will equal 0.

Start with the first expression. Add 4 and negative 4 will become 0, and -1 times 0 is equal to 0. Let's solve for the others just to be sure.

In the second expression, solving inside the brackets gives you 8. -1 times 8 is equal to -8.

Adding 4 and negative 4 in the third expression leaves you with 0. But, 1 + 0 is equal to 1.

Adding negative 4 and negative 4 gives you the answer of -8, and -1 times -8 is equal to 8.

Your answer is the first expression, or A.

6 0
3 years ago
Read 2 more answers
This is a square pyramid. What is the length of the base? h=3 v=36
Ulleksa [173]

volume of square pyramid = S^2*h/3

volume = 36

 h = 3

36 = S^2 *3/3

36 = S^2

S = sqrt(36)

S = 6

length of base = 6

7 0
3 years ago
Other questions:
  • Write a two column proof for the following conjecture. Statements and reasons
    6·1 answer
  • Solve |2x - 5| = 4. {x | x = -4.5 or x = 4.5} {x | x = 0.5 or x = 4.5} {x | 0.5 &lt; x &lt; 4.5}
    10·1 answer
  • How to solve it this equation
    13·1 answer
  • sound intensity is inversely proportional to the square of the distance from the source - the farther from the source you are, t
    14·1 answer
  • -1/2x-1/4(10x-9)=-(-7/4x+2)-x
    5·2 answers
  • Which statement describes graph
    6·1 answer
  • Which expression represents "10 less than the product of 12 and 9"?
    15·1 answer
  • GEOMETRY WILL MARK BRAINLIEST
    13·2 answers
  • Melody's friend Leena earns $15 per hour as a lab technician plus an extra $300 per week for singing at a club on the weekend.
    11·1 answer
  • A health coach spends $36 on elastic bands and meal kits for four clients. Each client receives an elastic band that costs $3 an
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!