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
nlexa [21]
3 years ago
12

Country ​A, Country​ B, and Country C won a total of 130 medals. Country B won 10 more medals than Country C. Country A won 38 m

ore medals than the total amount won by the other two. How many medals did each of the top three countries​ win?
Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

Country ​A = 84

Country​ B = 28

Country C = 18

Step-by-step explanation:

Country ​A, Country​ B, and Country C won a total of 130 medals;

A + B + C = 130 ......1

Country B won 10 more medals than Country C;

B = C + 10 .......2

Country A won 38 more medals than the total amount won by the other two;

A = B + C + 38 ........3

Substituting equation 3 to 1;

(B+C+38) + B+C = 130

2B + 2C + 38 = 130 .......4

Substituting equation 2 into 4;

2(C+10) + 2C + 38 = 130

4C + 58 = 130

4C = 130-58 = 72

C = 72/4 = 18

B = C + 10 = 18 + 10 = 28

A = B + C + 38 = 18 + 28 + 38 = 84

Country ​A = 84

Country​ B = 28

Country C = 18

You might be interested in
Whats the next number 0 3 8 15 24 35
exis [7]
I believe it is 48. 
0+3=3
3+5=8
8+7=15
15+9=24
24+11=35
35+13=48
5 0
3 years ago
If y varies directly with x and y=100 when x=5, what is the value of k?
horrorfan [7]
When it says varies directly, it means that y and x are going to be on opposite sides of the equals sign and that there is a constant, k,

y=kx

Plug in (5,100)

100=k(5)

K=20
7 0
2 years ago
Find f(2) if f(x) = 2x + 1
Fantom [35]

Answer: f(2)=5

Step-by-step explanation:

f(2)=2(2)+1=5

f(2)=5

3 0
3 years ago
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 23 full. When she finishes her shi
ipn [44]

Answer:

<em />Rate = 1.1/hr<em />

<em />

Step-by-step explanation:

Given

Start = 23

End = 16

Hours = 6\frac{1}{2}h

Required

Determine the hourly rate

First, we need to determine the ice cream sold

Ice\ Cream = 23 - 16

Ice\ Cream = 7

Next, we calculate the hourly rate:

Rate = Ice\ Cream/Hours

Rate = 7/6\frac{1}{2}h

Rate = 7/\frac{13}{2}h

Rate = 7*\frac{2}{13h}

Rate = \frac{14}{13h}

Rate = 1.07692307692/hr

<em />Rate = 1.1/hr<em> -- Approximated</em>

4 0
3 years ago
Read 2 more answers
Hi, I need to send you a screenshot​
Kazeer [188]
Whyyy notttt I guessss
6 0
2 years ago
Other questions:
  • What are the coordinates of the midpoint of the line segment with endpoints J(−6, 3) and K(4, −2) ?
    11·2 answers
  • What are the domain and range for the cube root function graphed below? Justify your answer in complete sentences.
    8·1 answer
  • How do you write 20484163 in different forms
    12·1 answer
  • Enrollment at a school last year was 1220 this year the student population decreased by 10% how many total students are attendin
    13·1 answer
  • Which is bigger 6 liters or 6,500 millimiters
    13·2 answers
  • g V. (10 points) Suppose that a large tank initially holds 400 gallons of brine, which contains 20 pounds of salt. Pure water is
    11·1 answer
  • What is the percent of decrease of 90 to 72
    5·2 answers
  • The measures of the angles of a triangle are shown in the figure below. Solve for x.
    14·2 answers
  • Solve: − &lt;− + 7( − 2) <br> (show your work)
    14·1 answer
  • Which explains whether or not the values in the table represent a direct variation?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!