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
NikAS [45]
3 years ago
14

The sum of 5 times one number, x, and 4 times a second number, y, is 75. If the sum of the two numbers is 18, find the two numbe

rs.
Enter a system of equations to represent the situation, then solve the system.

Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

Answer:x=3 and y=15

Step-by-step explanation:

First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":

5x+4y=75 (1)

Then, we are told "he sum of the two numbers is 18":

x+y=18 (2)

At this point we have our system of equations and now we are able to find the values of x and y.

So, let's begin by isolating x from (2):

x=18-y (3)

Substituting (3) in (1):

5(18-y)+4y=75 (4)

Finding y:

90-5y+4y=75

y=15 (5) This is the value of y

Substituting (5) in (1):

5x+4(15)=75 (6)

Finding y:

5x+60=75 (7)

x=3 (8) This is the value of x

You might be interested in
Can someone help me in 3 pls
In-s [12.5K]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Using 5 letters followed by 2 ​digits, how many passwords are​ possible?
Deffense [45]
Since there is no condition whatsoever for this arrangement, I can consider the 2 digits and the 5 letters as 7 different objects.

Total permutation (with no repetition):
7 chosen among 7 , that is 7 ! = 5040 arrangements

Total permutation (WITH REPERTITION):

7⁷ = 823 543

6 0
3 years ago
Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?
galben [10]

Answer:

29

Step-by-step explanation:

x+11÷8=5

5 × 8 = 40

40- 11 = 29

29 + 11 ÷ 8 =5

5 0
3 years ago
Candy is on sell for $0.75 each. You have a coupon for $.25 off your total purchase. Write a function rule for the cost of n pie
enyata [817]

t(n)=.75n-.25

Term number x .75 subtract .25



6 0
3 years ago
Read 2 more answers
Damian is paid $1,980 monthly. What is his annual salary?
ZanzabumX [31]

Answer:

23,760.

Step-by-step explanation:

Multiply the monthly salary x 12 since there are 12 months

5 0
3 years ago
Read 2 more answers
Other questions:
  • Elliott’s backyard is 4800 square feet. His dad is going to pave 15% of this area to use as a patio. How many square feet will b
    11·2 answers
  • Look at the picture below. What is tan(A – B)?<br><br> Thanks!
    5·1 answer
  • Is math related to science?
    9·2 answers
  • Help me pls this quizz is pasti t due date!!!!!!!!!!!!!!!
    12·1 answer
  • The functions f(x)=-3/4x+2 and g(x)=(1/4)^x+1 are shown in the graph.
    15·1 answer
  • What is the answer to √5×√5×√2×√2
    15·2 answers
  • Molly, page and demi share 42 sweets in the ratio 3:2:1 how many sweets do the all get each
    12·1 answer
  • Math need help asap, please!!! 19 points if you help. NO LINKS
    8·1 answer
  • 11 2 1
    12·1 answer
  • The expression 0.08 + (x-200) models the final price of a computer with an instant rebate in a state that charges a sales tax.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!