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
tino4ka555 [31]
3 years ago
7

The sum of four consecutive integers is 74. What is the first integer?

Mathematics
1 answer:
Drupady [299]3 years ago
7 0

Answer:

17

Step-by-step explanation:

Let x, x +1, x + 2, x + 3 be four consecutive integers.

\therefore \: x + x +1 +  x + 2 +  x + 3 = 74 \\  \therefore \: 4x + 6 = 74 \\  \therefore \: 4x = 74 - 6 \\  \therefore \: 4x = 68 \\  \therefore \: x =  \frac{68}{4}  \\  \huge \red{ \boxed{x = 17}}

Hence, first integer is 17.

You might be interested in
Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?
blsea [12.9K]
Use the formula b over 2 squared In order to create a new term, solve for x by using this term to complete the square. X= 1, -7
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=-5x-10%3D10" id="TexFormula1" title="-5x-10=10" alt="-5x-10=10" align="absmiddle" class="latex
konstantin123 [22]

Answer:

x = -4

Step-by-step explanation:

-5x -10 = 10

First thing to do when solving one-variable linear equations is to get the variable by itself. We can do this by adding 10 to both sides:

-5x = 20

Now that we have -5x on one side of the equation we can divide the equation by -5 to get x:

x = -4

3 0
2 years ago
Read 2 more answers
Which shape is similar to the original shape?<br> A) A <br> B) B <br> C) C <br> D) D
Anna35 [415]

Answer:

I think the answer is A.

Step-by-step explanation:

Original shape: 7 x 5 x 225 x 6 x 12 x 45 = 25,515,000

A: 9 x 5 x 225 x 6 x 35 x 12 = 25,515,000

B: 14 x 10 x 255 x 12 x 24 x 45 = 462,672,000

C: 9 x 7 x 225 x 8 x 15 x 45 = 76,545,000

D: 8 x 4 x 225 x 6 x 12 x 35 = 18,144,000

This is probably not the way you would solve it but this is how I did it. Basically I multiplied all the numbers in each shape together.

<em>(also i'm not quite sure if this is right >.< sorry!)</em>

8 0
3 years ago
535 divided by 30 with a remainder?
Aneli [31]

Answer:

17 with a remainder of 25

Step-by-step explanation:

4 0
2 years ago
Which of the following square roots would not be between 4 and 5?
expeople1 [14]

Answer:

√10.

___________________

7 0
2 years ago
Read 2 more answers
Other questions:
  • James is participating in 5 mike walk to raise money. He received $200 and raised &amp;$20 extra for each mile he walks. Use poi
    6·1 answer
  • The equation of the blue line is y = –x + 5. Manipulate the orange line by setting the sliders so its slope, m, is –1 and its y-
    8·2 answers
  • Mario was visiting the carnival when he noticed a few number relationships.
    11·2 answers
  • Need help with slopes
    9·2 answers
  • 1. For the carnival, the park rented a dunking booth shaped as a rectangular prism. The booth is 3 1/2 ft wide, 3 1/2 ft long, a
    11·2 answers
  • Find the equation of the line shown below.
    6·1 answer
  • Given that 3y = x + 6 and y = kx + 12 are perpendicular, find the value of k
    9·1 answer
  • Find the total surface area of this square based pyramid. 10ft 10ft (in the image)​
    8·1 answer
  • Estimate to find the quotient. 342/8=
    9·1 answer
  • A racecar can travel 800 miles in 4 hours.Using(d) for distance in miles and (t) for numbers of hours,an equation that represent
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!