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
maksim [4K]
3 years ago
12

The sum of three consecutive integers is -78. determine the smallest integer.

Mathematics
1 answer:
sweet [91]3 years ago
4 0
Lets x is the 1st consecutive even integers
      x +2 :the 2nd consecutive even integers
      x +4: the 3rd consecutive even integers

So sum of all 3 equals -78 then
x + (x+2) + (x+4) = -78
x + x + 2 + x + 4 = -78
Simplify
3x + 6 = -78
Subtract (-6) to both sides
3x +6 -6 = -78 - 6
Simplify
3x = -84
Divided both sides by 3
3x/3 = -84/3

x = -28
x + 2 =  -28 + 2 = -26
x +4 = - 28 + 4 = -24

Double check: -28 + -26 + -24 = -78

So the three consecutive even integers are: -24, -26, -28

The smallest integer would be -28
You might be interested in
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
velikii [3]

Answer:

here, Area of s circle is given by;

A=πr²

but, A=1256.00 sq feet and π=22/7

thus, r=√(A/π)

⇒r=√(1256.00/3.142857143)

thus, r=399.64feet

Step-by-step explanation:

4 0
3 years ago
In January, Emma was 62.25 in tall. In December, she was 65.5 inches tall. How much did Emma grow between January and December?
WINSTONCH [101]

she "grew" negative 3.25 inches

 it is negative because she was taller in December than she was in January

5 0
3 years ago
PLEASE HELP AND ANSWER RIGHT AWAY! I'M TERRIBLE AT MATH!
Free_Kalibri [48]
1 \frac{1}{2} = \frac{3}{2}\\\\2 \frac{1}{2} = \frac{5}{2}\\\\\\\\\frac{3}{2} \times \frac{5}{2} = \frac{3\times 5}{2\times 2} = \huge{\boxed{\frac{15}{4}=3\frac{3}{4}}}
7 0
3 years ago
Let v(t)=t2−2tv(t)=t2−2t be the velocity, in feet per second, of an object at time tt, in seconds.
kirza4 [7]
Thee function is given as:

<span>v(t)=t^2−2tv(t)=t^2−2t 

</span>(a) What is the initial velocity? 

Base from the function, the initial velocity would be zero.

(b) When does the object have a velocity of zero?

It would be during time zero. Also, at a time equal to two.
6 0
3 years ago
Read 2 more answers
Round to the nearest thousandth: 6.49993
zavuch27 [327]

Answer:

6.5

What is the Nearest 1000th?

Nearest thousandth is the third digit after the decimal point.

How to Calculate Rounding to the Nearest 1000th?

If the digit after thousandth is greater than or equal to 5, add 1 to thousandth. Else remove the digit. Example

124.5864

The fourth digit of right of decimal point is 4 which less than 5

So remove fourth digit

Result = 124.586

Step-by-step explanation:

Hope that helped

5 0
3 years ago
Other questions:
  • Lenora buys 3.7 lbs of potatoes that cost $0.29 per pound. How much does she pay for the potatoes. Round to nearest cents
    13·2 answers
  • a coin is flipped 5 times. we then observe the number of times a coin lands on heads. what is the compliment of the event "at le
    9·1 answer
  • What is 171 plus 727 using rounding for the estimated sum
    6·2 answers
  • F(x)+g(x)=(x^2+10x+25)+(5-4x)
    12·1 answer
  • Is this a right triangle side lengths: 8 cm,10 cm,16 cm
    5·1 answer
  • What would 50÷75 be?I can't figure it out help me
    8·2 answers
  • 1/2 of a bag of candy is skittles, 1/4 is m and m's, and 3/4 of the rest of it are life savers. The rest are sour patch kids. Wh
    6·1 answer
  • PLEASE HELP I'LL GIVE BRAINILLEST PLEASE NO FAKE ANSWERS ITS DUE REALLY SOON :(
    11·2 answers
  • Jordan is starting to save $150 to buy a new cell phone. In December, he saved $5. In January, he plans twice as much as he did
    5·1 answer
  • 10 POINTS
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!