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
vagabundo [1.1K]
3 years ago
10

The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

You might be interested in
What is the product of 5the square root of 3. • 4the square root of 15.? Simplify if possible. 60the square root of 5. 20the squ
svp [43]
Correct Answer: 60 \sqrt{5}

We are to find:

5 \sqrt{3} *4 \sqrt{15}

Multiplying and simplifying the radicals, we get:

20 \sqrt{45}  \\  \\ 
=20 \sqrt{9*5}  \\  \\ 
=20*3 \sqrt{5}  \\  \\ 
=60 \sqrt{5}
4 0
3 years ago
Read 2 more answers
Choose the number sentence that illustrates the distributive property of multiplication over addition.
marin [14]

Answer:

3*(7 + 2) = 3*7 + 3*2

Option 3

Step-by-step explanation:

Distributive property of multiplication over addition:

a*(b+ c) = (a*b ) + (a * c)

6 0
3 years ago
Read 2 more answers
The length of a rectangle is four times its width. If the area of the rectangle is 100 in2, find its perimeter.
mamaluj [8]

Answer:

the perimeter is 50 inches squared

Step-by-step explanation:

if the length is 4 times that means the sides are 20 and 5

4 0
3 years ago
Which angle is vertical <EFA
zimovet [89]

<u>Angles that are vertical are basically neighbors that are across from each other (numbers across from each other). </u>

Angle <u><CFD</u> would be vertical to <EFA.


5 0
3 years ago
4) What is the total cost (tax and price) on a purchase of $108.50 if the sales tax is 8%?
vitfil [10]
Answer: C)$117.18

$108.50 X 1.08 = $108.50
4 0
3 years ago
Other questions:
  • What is m∠CAD?
    15·2 answers
  • Friday's high temperature was -1 C. The temperature was -5 C. What was the difference between the high and low temperature?
    14·1 answer
  • What is 50,935 divided by 5?
    11·2 answers
  • Ava is required to take at least 200 shots at basketball practice each week. During the first practice this week, Ava took 80 sh
    8·1 answer
  • Graph one complete cycle. Label the axes accurately.<br> y = sin πx
    5·1 answer
  • Given: △ABC, BC&gt;AC, D∈ AC , CD=CB Prove: m∠ABD is acute
    8·1 answer
  • Which of the given expressions results in 0 when evaluated at x = 5?
    6·1 answer
  • Please help <br> answer choices are:<br> a (-2,-8)<br> b (2,-8)<br> c (2,-4)<br> d. (-2,4)
    12·1 answer
  • 10 points
    6·2 answers
  • A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!