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
Ede4ka [16]
3 years ago
11

Jack had $80 more than Eric. When Jack spent $30, he found that the amount of money he had left was twice s much as Eric had. Ho

w much did the boys have altogether at the beginning?
Mathematics
1 answer:
scoundrel [369]3 years ago
7 0
First we define variables:
 x: amount of money Jack has
 y: amount of money Eric has
 We write the system of equations:
 x = y + 80
 x - 30 = 2y
 Solving the system we have:
 x = $130 
 y = $ 50
 Therefore, the amount of money they had at the beginning is:
 130 + 50 = $ 180
 Answer:
 
the boys had $ 180 altogether at the beginning
You might be interested in
Find the solution to the following system of equations?<br> x - 2y = 5<br> -x + y = 3
Rzqust [24]

Answer:

x = -11 and y= -8 is the solution to the system

Step-by-step explanation:

Given:

x - 2y = 5    let it be equation (i)

-x + y = 3     let it be equation (ii)

To find:

x = ?

y = ?

Solution:

The equations are given to us from which we are supposed to find the values of x and y

Taking first equation which is

x - 2y = 5    

adding 2y on both sides

x - 2 y + 2y = 5 + 2y

x = 5 +2y                   ............................(iii)

Now putting this value in equation (ii)

which is

-x + y = 3

Putting value gives

-(5 + 2y) + y = 3

-5 -2y+y = 3

-5 - y = 3

adding 5 on both sides

-5 -y + 5 = 3 + 5

-y = 8

Multiplying both sides by (-1)

-y(-1) = 8 * (-1)

y = -8

Now we have equation (iii) which is

x = 5 + 2y

putting the value of y in it

x = 5 + 2*(-8)

x = 5 -16

x = -11

so the solution to the system is

x = -11 and y= -8


8 0
4 years ago
1.
Mama L [17]

Answer: x=25, y=19

Step-by-step explanation: Because the triangle is equilateral, all the angles must be equal to 60 degrees. So 2x+10=60. 2x=50 and x=25. Then the same thing: 3y+3=60. 3y=57, y=19.

3 0
3 years ago
Solve the equation by completing the square. -9n^2+79+=-18n
poizon [28]
Hello,
-9n²+79=-18n
==>9n²-18n-79=0
==>9(n²-2n+1-1)-79=0
==>9(n-1)²-88=0
==>[3(n-1)-2√22][3(n-1)+2√22]=0
==>3(n-1)=2√22 or 3(n-1)=-2√22
==>n-1=2/3*√22 or n-1=-2/3*√22
==>n=1+2/3*√22 or n=1-2/3*√22



6 0
3 years ago
All of the following are equivalent except _____.<br> 7x 2<br> 4x + 3x<br> (4 + 3)x<br> 7x
ad-work [718]

Answer:

#1- 7x*2=14x, the rest = 7x

Step-by-step explanation:


7 0
4 years ago
Read 2 more answers
Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees.
Nesterboy [21]

Answer:

Step-by-step explanation:

CBA = 31

BAC = 59

31 + 59 = 90

The two angles = 90 degrees.

There are complementary.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is the graph of the function y = 2.5sec(x – 5)?<br><br> Thanks!
    6·2 answers
  • What does (5.0x10^-8)(2.9x10^2) equal in scientific notation?
    13·1 answer
  • For what value of a does 9= (1/27)^a+3 ?<br> -11/3<br> -7/3<br> 7/3<br> 11/3
    6·1 answer
  • If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
    13·1 answer
  • One vertex of a triangle is located at (0,5) on a coordinate grid. After a transformation the vertex is located at (5,0). Which
    7·1 answer
  • PLZ CHECK MY ANSWERS AND TELL ME THE RIGHT ANSWERS IF I GET THEM WORNG
    10·1 answer
  • If f(x) = (1/8)(8^x), what is f(3)?
    5·2 answers
  • PLSS HELP ILL GIVE BRAINLIEST IF YOU HELP ME AND EXPLAIN UR ANSWER
    12·2 answers
  • Cual es tu sensibilidad para dar headshot en free fire?
    14·1 answer
  • The sum of an integer and 5 times the next consecutive integer is 29. find the value of the lesser integer
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!