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
iren [92.7K]
3 years ago
6

If one half of an integer is added to one fifth of the next consecutive integer, the sum is 10. Find the integers.

Mathematics
2 answers:
Taya2010 [7]3 years ago
8 0
1/2x + 1/5(x + 1) = 10
1/2x + 1/5x + 1/5 = 10
5/10x + 2/10x = 10 - 1/5
7/10x = 50/5 - 1/5
7/10x = 49/5
x = 49/5 * 10/7
x = 490/35
x = 14

x + 1 = 15

ur integers are 14 and 15
Ivahew [28]3 years ago
5 0
Let 1st integer be x and next consecutive be x+1
1/2•x + 1/5•(x+1) = 10
x/2 + x/5 + 1/5 = 10
-1/5 -1/5
x/2 + x/5 = 49/5
(x/2)•5/5 + (x/5)•2/2 = 49/5
5x/10 + 2x/10 = 49/5
7x/10 = 49/5
•10 •10
7x = 98
÷7 ÷7
x = 14 --> 1st integer
x+1 = 14+1 = 15 --> next consecutive integer
You might be interested in
D) The perimeter of room is 28 m. and the height is 3.5 m. Find the area of 4 walls.
mote1985 [20]

Answer: 98

Step-by-step explanation:

Area of four walls = Curved surface area

                             = perimeter × height

                              =    28          ×   3.5

                              = 98 m square  

7 0
1 year ago
Which equation has the correct sign on the product
dedylja [7]

Answer: B

Step-by-step explanation: 45 times (-6) =45 times 6 which equal 270

8 0
2 years ago
Simplify: 5x + 4x2 + 10 + 2x2 + 2x – 6+2 - 1.
erik [133]
The answer would be 7x+ 17
8 0
3 years ago
On a 10-item test, three students in Professor Hsin's advanced chemistry seminar received scores of 2, 5, and 8, respectively. F
Inessa [10]

Answer:

For this distribution of test scores, the standard deviation is equal to the square root of 9

D) 9

Step-by-step explanation:

We need to know the standard deviation formula:

S=\sqrt{\frac{sum(x-Am)^2}{n-1} } (1)

Where:

S: Standard deviation

sum: Summation

x: Sample values

Am: Arithmetic mean

n:   Number of terms, in this case 3

Now, we need to know the arithmetic mean of the sample values: 2, 5 and 8

Am=\frac{2+5+8}{3} = 5

To know the standard deviation we need to have the summation of each term minus the arithmetic mean squared.

(x-Am)^2 of each term:

(2-5)^2=9\\(5-5)^2=0\\(8-5)^2=9

Now, we can find the standard deviation:

S=\sqrt{\frac{9+0+9}{3-1} } \\S=\sqrt{\frac{18}{2} } \\S=\sqrt{9}

The standard deviation is equal to the square root of 9

4 0
3 years ago
Read 2 more answers
ASAP Will mark Brainliest What is the value of this expression? (−4)4
Vitek1552 [10]

Answer:

-256

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a rectangle is 5 more than twice the width. the perimeter is 130. what is the area?
    5·1 answer
  • A lawn mower manufacturer incurs a total of $34,816 in overhead costs and $388 per lawn mower in production costs. How many lawn
    5·1 answer
  • What is the distance between points (5, 5) and (1, 5) on a coordinate plane? units
    6·2 answers
  • The square of a number is 12 less than 7 times the number. What is the number?
    14·1 answer
  • What calculation can be used to find the value of y in the equation y^3=27
    14·2 answers
  • Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000
    9·1 answer
  • What are two different common denominators for 1/2 and 1/14
    8·1 answer
  • The product of 5 and a number x is greater than 20<br> an inequality is ?<br> the solution is?
    7·1 answer
  • Express in the form <br> n<br> :<br> 1<br> .<br> Give <br> n<br> as a decimal.<br> 9<br> :<br> 6
    15·1 answer
  • A regular polygon has sides all the same length, and angles all the same measure. Find the pelmeter of the regular polygon below
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!