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
N76 [4]
3 years ago
7

The sum of two numbers is 48. The larger number is 7 less than four times the smaller number. Find the numbers.

Mathematics
2 answers:
Bumek [7]3 years ago
7 0
Answer: x = 37 and y = 11

Explanation:

Let x be the bigger number
Let y be the smaller number

x + y = 48

But x is 7 less 4 times the smaller number.

=> x = 4y - 7
Substitute this value of x:

4y - 7 + y = 48
5y = 48 + 7
5y = 55
y = 11

Substitute the value of y in to the equation:

x + 11 = 48
x = 48 - 11
x = 37

Therefore, x = 37 and y = 11
scoundrel [369]3 years ago
5 0

Answer:

Larger number = 37

Smaller Number = 11

Step-by-step explanation:

Lets take x as the bigger number and y as the smaller number

x + y = 48

What do we know?

The larger number is 7 less than four times the smaller number

so 4y - 7 = x

Lets replace the equation obove with x

4y - 7 + y = 48

5y - 7 = 48

5y = 48 + 7

y = 55/5

y = 11

Then multiply 11 by 4 <u>11 times 4</u> = 44 and subtract by 7 <u>44 - 7 = 37</u>

To recheck add 37  to 11 and u should get 48

You might be interested in
The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is
Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

f(x)=-0.05x^2+2.5x+5.2

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

-\infty

Factorize the given function.

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-52x+2x-104)

f(x)=-0.05(x(x-52)+2(x-52))

f(x) = -0.05 (x - 52) (x + 2)

Put f(x)=0 to find the x intercepts.

0 = -0.05 (x - 52) (x + 2)

Equate each factor equal to 0.

x=52,-2

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

0\leq x\leq 52

Therefore the reasonable domain is 0\leq x\leq 52 and option 4 is correct.

6 0
2 years ago
Convert 9.3 kribs into grees given that 4.2 kribs = 18 grees.
maria [59]

Answer:

39.9 grees

Step-by-step explanation:

Since 4.2 kribs = 18 grees

Then,

1 krib = 18/4.2 grees

9.3 kribs = (18/4.2) x 9 3

9.3 kribs = 39.9 grees.

4 0
3 years ago
Using {0,1,3,4,5,6,9}, how many four-digit numbers with different digits can be produced between 4000 to 5000, if the numbers mu
bogdanovich [222]

Answer:18

Step-by-step explanation:

8 0
2 years ago
What’s the answer for GCF 55 and 77
IgorLugansk [536]

Answer:

simple 11

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
D= 2 - 6c <br> 1%2c - c = 1
omeli [17]
V????????????????????????????????????????????????????????????????13
3 0
3 years ago
Other questions:
  • 3 ears of corn cost $1
    6·2 answers
  • Answers to 6,7,8 pleaseee?
    5·1 answer
  • 13. Calcule:
    13·1 answer
  • Mr. Trager has $500.00 to spend at a bicycle store. All prices listed below include tax. . He buys a new bicycle for $273.98. .
    6·1 answer
  • 4. Millie's checking account had $98.26
    14·1 answer
  • An equilateral triangle and a square have the same perimeter. Each side of the square measures 6 cm. What is the length of each
    5·1 answer
  • 304,056 trying to represent the value of this number using expanded notation we give the answer but is giving us an error so we
    8·1 answer
  • Which of the following is not a true statement about the triangular prism?
    12·2 answers
  • How many terms are there in each expression? a. 9x − 4y + 7z − 8w + t b. Ab + 3a − 4b c. 25a + 9bc − 8def
    6·2 answers
  • Solve for r.<br><br> r - 4.5 ≤ 11
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!