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
Use the expression to complete the statements.
WINSTONCH [101]

Answer:

Power

Base

Exponent

Repeated Multiplication

Step-by-step explanation:

On edge 2020

5 0
2 years ago
Read 2 more answers
10(11-x) pls I need help​
nadezda [96]

Answer: 110 -10x

Step-by-step explanation:

You do pemdas

So 11•10 = 110

Then -10•x = -10x

And then you get

110-10x

8 0
3 years ago
Read 2 more answers
A customer pay 18 for a DVD that originally cost 20. What is the percent decrease in the cost of the DVD
natima [27]

The discount is $2. 2/20 is 0.1 or 1/10 which as a percentage would be 10%. The discount of $2 is <u><em>10%</em></u> off.

8 0
3 years ago
I really need help here I don’t know how to do this
sattari [20]

Answer:

Second box for Justifications: Subtraction Property of equality

Third box for steps: \frac{2}{3} y=-6

Fourth box for steps: \frac{2}{3} y*\frac{3}{2} =-6*\frac{3}{2}

Fourth box for Justifications: Multiplication Property of equality

Fifth box for steps: y=-9

7 0
3 years ago
The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?
evablogger [386]

Answer:

Linear Function

Step-by-step explanation:

Given

The table showing values of x and y

Required

Determine the type of function

To determine the type of function, the table represents;

One will need to determine the table equation.

Start by solving for the slope;

m = \frac{y_1 - y_2}{x_1 - x_2}

When x - 0; y = 0 and When x = 80; y = 60.

This gives

m = \frac{0 - 60}{0 - 80}

m = \frac{- 60}{- 80}

m = \frac{3}{4}

The formula is determine as follows;

y - y_1 = m(x - x_1)

When x - 0; y = 0; m = 3/4; This gives

y - 0 = \frac{3}{4}(x - 0)

y = \frac{3}{4}(x - 0)

Open Bracket

y = \frac{3}{4}x - 0

y = \frac{3}{4}x

The above is an example of a linear equation.

<em>Hence; option B answers the question</em>

8 0
3 years ago
Other questions:
  • US
    9·1 answer
  • Use the quadratic formula to solve x^2+20=2x what are values of x
    7·1 answer
  • Estimate, then find the sum of 312+397
    10·2 answers
  • N a certain region, the electric potential due to a charge distribution is given by the equation v(x,y,z)=3(x^2)(y^2) +y(z^3) -
    12·1 answer
  • What is the first step when solving this equation: 2(x-4)+6=3x+19
    14·2 answers
  • 8 more than the quotient of a number and 2 is 14. find the number
    11·1 answer
  • Evaluate if f(x)=x+8+15,g(x)4x-2andh(x)=x-5x-14
    14·1 answer
  • Y= ___x+___ <br> the slope of the equation is__ ?
    13·1 answer
  • Someone plssss helpppp
    15·1 answer
  • A business owner issues a paycheck in the amount of two thousand, three hundred fifty-seven dollars and forty-nine cents. What i
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!