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
GuDViN [60]
3 years ago
6

One number added to three times another number is 45. Six times the first number added to two times the other number is 62. Find

the SMALLER of the two numbers.
Mathematics
1 answer:
Ulleksa [173]3 years ago
7 0

Answer: the smaller number is - 7

Step-by-step explanation:

Let x represent the smaller number

Let y represent the larger number.

One number added to three times another number is 45. This is expressed as

x + y = 45

Six times the first number added to two times the other number is 62. This means that

6x + 2y = 62 - - - - - - - - - - - -1

Substituting x = 45 - y into equation 1, it becomes

6(45 - y) + 2y = 62

270 - 6y + 2y = 62

- 6y + 2y = 62 - 270

- 4y = - 208

y = - 208/-4

y = 52

x = 45 - y = 45 - 52

x = - 7

You might be interested in
What is 32767/32768 as a reduced fraction?
Anit [1.1K]
32,767/32,768 is in lowest terms and can't be reduced.
8 0
4 years ago
Ellie buys a mobile phone in spain for €352.50. Her brother jack buys an identical phone from japan for ¥39856. Using exchange r
Nonamiya [84]

Answer:

The answer to your question is: Japan

Step-by-step explanation:

Mobile cost in Spain = € 352.5

Mobile cost in Japan = ¥39856

Exchange rate = £1 = €1.41

                           £1 = ¥188

Cost of mobile in pounds

                       £ 1 ------------------ € 1.41

                        x  -----------------   €352.5

                       x = (352.5 x 1) / 1.41

                       x= £250

                      £1   ------------------  ¥188

                      x    ----------------- -¥ 39856

                     x = (39856 x 1) / 188

                     x = £212

Then, it was cheaper in Japan

8 0
3 years ago
Read 2 more answers
Kylie and Ethan have each saved some money. I’m their savings, each coin is worth leas then 50 cents and each bill is less then
timofeeve [1]

Answer:

Kylie could have a $5 bill and seven quarters while Ethan could have two $1 bills and forty pennies.

Step-by-step explanation:

Since Kylie has seven quarters, that is seven multiplied by the value of the quarter, a quarter is 25 cents. So 7 x 25 = 125 OR $1 and 25 cents. Leaving Kylie with a total of $7 and 25 cents with the addition of the $5 bill.

Ethan has two $1 bills and forty pennies, forty multiplied by the value of the penny, a penny is 1 cent. So 40 x 1 = 40 OR 40 cents. Leaving Ethan with $2 and 40 cents with the addition of the two $1 bills from earlier.

Ethan has more bills and coins than Kylie and yet still has less money than Kylie.

7 0
3 years ago
B. Rob would like to create a triangle that is
Phantasy [73]

Answer:

14y + 9

Step-by-step explanation:

Perimeter of the given triangular above = sum of all its sides.

= (y + 9) + 2y + (4y - 1) = y + 9 + 2y + 4y -1

Collect like terms

= y + 2y + 4y + 9 - 1

= 7y + 8

If Bob creates a new triangle that is 7 less than twice of the perimeter of the triangle above, the expression of the new triangle would be:

2(7y + 8) - 7

Simplify

2*7y + 2*8 - 7

14y + 16 - 7

New perimeter = 14y + 9

5 0
3 years ago
Y-4x=3. 2x-3y=21 can someone help
mars1129 [50]

Y-4X =3 ; 2x-3y=21

Y= 3+ 4x

2x -3( 3+4x)= 21

2x- 9- 12x= 21

-10x -9= 21

-10x -9+9= 21+9

-10x = 30

X= 30/-10= -3

Y= 3+4x = 3+ 4* (-3)= 3-12= -9

3 0
3 years ago
Other questions:
  • -x + 2y=10<br> -3x+6y=11
    13·2 answers
  • 20 Point plus brainlest whoever answer first and GET IT RIGHT
    6·2 answers
  • Study the fraction model. What does it show?
    10·1 answer
  • Is g h - 5 an expression
    8·1 answer
  • Which statement is true for the equation 4x – 4x – 5 = –5? (5 points) It has no solution. It has one solution. It has two soluti
    6·1 answer
  • 40 is a rational number.
    9·2 answers
  • A private ship carries two types of cargo: large crates and extra-large crates. Each type of crate weighs a specific amount.
    6·1 answer
  • Find the values of w, x and y.
    11·1 answer
  • How I can apply the distribute property to this question?
    11·1 answer
  • The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks plus $175 for each ton of s
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!