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
wlad13 [49]
3 years ago
5

The sum of 9 consecutive numbers is 279. What is the sum of the first and the last number?

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Let the first number = x

The second number would be x +1

3rd number = x +2

4th number = x +3

5th number = x+4

6th number = x+5

7th number = x +6

8th number = x +7

9th number = x+8

The sum is 279

Combine like terms in the 9 numbers to get: 9x + 36 = 279

Solve for x:

9x + 36 = 279

Subtract 36 from both sides:

9x = 243

Divide both sides by 9:

x =27

The first number is 27

The last number would be 27 + 8 = 35

The sum of the first and last would be 27 + 35 = 63

You might be interested in
75 divided by negative 1/5
stiv31 [10]

Answer:

I think it's 375 sorry if it's not

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A total of 345 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student t
Slav-nsk [51]
Write the system of equation based on the problem
"A total of 345 tickets that consists of adult tickets and students ticket were sold" could be written as:
∴ a + s = 345 <em>(first equation)</em>
"<span>the number of student tickets sold was two times the number of adult tickets sold" could be written as:
</span>∴ s = 2a  <em>(second equation)</em>
<span>
Solve the system of equation
Substitute 2a as s in the first equation
a + s = 345
a + (2a) = 345
3a = 345
  a = 345/3
  a = 115

There are 115 adult tickets sold.</span>
3 0
3 years ago
How do I convert standard form into vertex form when there is no perfect square
balu736 [363]

Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k,  you have to Get ready to create a perfect square trinomial. BUT be careful!! In previous completing the square problems with a leading coefficient not 1, ... Take half of the coefficient of the x-term inside the parentheses, square it, and place it in the box.

hope this helps :)

5 0
3 years ago
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
guapka [62]

Answer:

Please mark be brainliest and I hoped this helped!

x = 45°

Step-by-step explanation:

Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.

5 0
3 years ago
Please help Find the value of x
exis [7]

Answer:

Value of x is 2

Step-by-step explanation:

Given

BD = 6

DA = 4

BE = x+1

EC = x

Also segment DE is parallel to segment AC

∴ By using Midpoint theorem which states

\frac{BD}{DA}\cong \frac{BE}{EC}

Putting the given data in above equation we get

\frac{6}{4}=\frac{x+1}{x}\\6x=4(x+1)\\6x =4x+4\\6x-4x =4\\2x=4\\x= \frac{4}{2}\\x=2

6 0
3 years ago
Other questions:
  • The equation of line r is y = -12 1 2 x - 4. If line s runs perpendicular to line r and passes through (4, -3), what would be th
    5·2 answers
  • The per capita electric power consumption level in a recent year in Ecuador is normally distributed, with a mean of 471.5 kilo-w
    14·1 answer
  • What is the slope of the line that contains these points?<br> x 31 36 41 46<br> y 10 8 6 4
    8·1 answer
  • Solve -2= -(x-8), justifying each step with an algebraic property PLZ HELP
    8·1 answer
  • Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb
    10·1 answer
  • Item 14
    10·1 answer
  • If you drive at a constant speed of 60 miles/hour find the time it would take to travel each of the distances in the following c
    15·1 answer
  • What is the vertex for this function? y = 3x^2 + 12x + 5
    13·1 answer
  • Simplify the ratio £3:20p
    6·1 answer
  • Describe the vertical shift of Y=x^2-9
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!