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
EleoNora [17]
4 years ago
14

If three times the smaller of two consecutive integers is added to four times the larger, the result is 67. Find the smaller int

eger.
Mathematics
1 answer:
emmasim [6.3K]4 years ago
7 0
3x + 4(x + 1) = 67
7x + 4 = 67
7x = 67-4 = 63
x = 9

The smaller integer is 9.
You might be interested in
Step by step plsssss
Nutka1998 [239]

Answer:

26

Step-by-step explanation:

Step 1 : 8 + 2 × 3^{2}

Step 2 : 3 × 3 = 9

Step 3 : 8 + 2 × 9

Step 4 : 8 + 18

Step 5 : 26

Hope I helped. =D

8 0
3 years ago
Peter, henry and john shared $345 between them. Peter received $45, henry received $75 and john received the rest.
melomori [17]

Answer:

Step-by-step explanation:

Let J = John's share ($)

     P = Peter's share ($)

     H = Henry's share ($)

 

1) H = P + 80

 

2) J/P = 6/3 = 2

 

3) P/H = 3/5  

 

Substitute equation 1) into equation 3)

 

P/(P + 80) = 3/5            (multiply both sides by (P + 80)

 

P = (3/5)*(P + 80)         (multiply both sides by 5)

 

5*P = 3*P + 240

 

2*P = 240

 

P = 240/2 = $120

 

Substitute P value into equation 2)

 

J/P = 2  or

 

J = 2*P = 2*$120 = $240

 

John received $240

 

 

7 0
4 years ago
Read 2 more answers
What is the proper way to check an algebraic solution?
vlabodo [156]
The correct way is to plug in the answer back into the equation and see if it results in the correct solution.
4 0
4 years ago
Read 2 more answers
Jason wants to receive monthly payments of $3,250 for 15 years. How much does he have to invest now in an annuity that has an an
LuckyWell [14K]

The amount she should invest today in the annuity is $455,450.40.

<h3>How much should be invested today?</h3>

The first step is to determine the future value of the monthly annuity.

Future value = monthly payment x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = interest rate = 3.6/12 = 0.3%
  • n = number of periods : 15 x 12 = 180

Future value : 3250 x [(1.003^180) - 1] / 0.003 = 774,171.92

The second step is to determine the present value of this future annuity:

774, 171.92 / (1.036^15) = $455,450.40

To learn more about annuities, please check: brainly.com/question/24108530

#SPJ1

8 0
2 years ago
Find the value of 5!.
olga nikolaevna [1]

Value: Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies.

The absolute value of a number is never negative. The absolute value of 5 is 5

7 0
4 years ago
Read 2 more answers
Other questions:
  • a shirt costs $9 you have a coupon for $2 off the total purchase what is the final price of seven shirts
    9·1 answer
  • Evaluate. write your answer as a fraction in simplest form. 2/3^3
    8·1 answer
  • A regular workweek is 40 hours. Overtime pay is time and one-half): Manual is a word-processor operator. He makes $13.50 an hour
    13·1 answer
  • Which represents where f(x) = g(x)? fx) 4 g(x)?
    7·1 answer
  • LMN≅PQR
    10·2 answers
  • One side of a rectangle is 2 m shorter than another side. The area is 360 m2. Write a quadratic equation and solve it to find th
    10·1 answer
  • Solve for x in the diagram below “x + 54”
    12·1 answer
  • The lengths of the sides of a triangle are 7, 24 and 25. Classify the triangle as acute, right, or obtuse. Choose the correct ty
    10·1 answer
  • I need to find f(0) help :(
    14·1 answer
  • Find the volume of the sphere! Plsssss
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!