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
horrorfan [7]
2 years ago
12

The sum of two numbers is 54. The smaller number is 18 less than the larger number. What are the numbers?

Mathematics
1 answer:
igomit [66]2 years ago
8 0

Answer:

The larger number is 37.  This makes the smaller number 56 - 37, which is 19.

Step-by-step explanation:

 

The first step is to pick variables for the two numbers.  Lets call the smaller number x and the larger number y.

Since the sum of the two numbers is 56, this means that x + y = 56.  Let's call this equation 1 and save it for later.

 

The next sentence says:

The smaller number is 18 less than the larger number.  So, 18 less than the larger number would be y - 18.  So, the smaller number must be equal to this, so

 

x = y - 18

 

Replace the x in equation 1 with y - 18

 

x + y = 56

(y-18) + y = 56   (replace x with y-18)

2y - 18 = 56        (add the y's)

2y = 74               (add 18 to both sides)

y = 37                 (divide both sides by 2)

 

So, the larger number is 37.  This makes the smaller number 56 - 37, which is 19.

 

Hope this helps!!  :)

You might be interested in
6+n/5=9<br><br> What is happening to the variable? <br><br><br> How do you solve for the variable?
Svetradugi [14.3K]

Answer:

n=15

Step-by-step explanation:

(subtract 6 from both sides of the equation.)

6+n/5=9

6+n/5-6=9-6

(Now you will have to simplify.)

n/5=3

(You will have to multiply all terms by the same value to eliminate fraction denominators.)

n/5=3

5xn/5=5x3

(You will now have to simplify.)

n=15

And that's how you get your answer.

i hope this helps.      :)

7 0
2 years ago
What are the multiplication facts fof the product of 32
vladimir1956 [14]
Factors of 32-
1*32
2*16
4*8
1, 2, 4, 8, 16, and 32 are factors of 32 (Their multiples are 32)

4 0
3 years ago
Read 2 more answers
An athlete completes a race in 55.72 seconds. How many times greater is the digit in the tens place than the digit in the ones p
MArishka [77]
As they are the same the answer is 1 times
8 0
3 years ago
How can we represent a time that came before a specific zero point​
Oduvanchick [21]

Answer:

by stating what the time was before the zero point came.

Step-by-step explanation:

3 0
3 years ago
An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours
Firdavs [7]

Answer

Find out the  which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n) .

To proof

As given in the question

Let us assume that the number of hours charged at the day rate = d

Let us assume that the number of hours charged at the night rate = n

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use.

Total working hour in a company including day and night be  12 hours .

than the equation become in the form

d + n = 12

also

An online data base charges $25 an hour during the day

$12.50 an hour at night.

If a research company paid $250 for 12 hours of use.

than the equation becomes

25d + 12.50n = 250

than the two equation are

d + n = 12 , 25d + 12.50n = 250

multiply first by 25 and subtracted  from 25d + 12.50n = 250

25d - 25d + 12.50n - 25n = 250 - 300

12.5 n = 50

n = \frac{50}{12.5}

n = 4hours

put this in the d + n = 12

d + 4 =12

d = 12-4

d = 8 hours

Therefore the number of hours charged at the day rate  is 8 hours  and at the night rate is  4hours .

Hence proved



4 0
3 years ago
Other questions:
  • Martina's gross weekly pay is $1168
    13·2 answers
  • (2 + 5)^0 =<br><br> 0<br><br> 1<br><br> 7<br><br> exponential functiona
    11·1 answer
  • How many bands uniforms can be made with 131 3/4 yards of fabric if each uniform requires 3 7/8
    10·1 answer
  • If two lines have different slopes and the same y-intercept, the two lines ( ___)
    7·1 answer
  • Paige DeMarco is the Vice President for University Advancement at State University. She is responsible for the capital campaign
    10·1 answer
  • Is 1/3 less than 1/4
    15·2 answers
  • Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his foo
    14·1 answer
  • Jamal treated his family to a fancy brunch. Their brunch cost $250, and the local sales tax
    6·1 answer
  • EEEEEEEEEEEEEEEEEEEEEEHHHHHHHHHHHHHHHHHHHHHHH
    12·1 answer
  • If the point (5,1) is reflected in the y axis the image is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!