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
AlexFokin [52]
3 years ago
13

1. Three friends pooled their money to purchase a new game system that costs $298. One person

Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

First person: $107

Second person: $98

Third person: $93

Step-by-step explanation:

Let be "f" the amount of money (in dollars) that the first person contributed to the purchase, "s" the amount of money (in dollars) that the second person contributed to the purchase and "t" the amount of money (in dollars) that the third person contributed to the purchase.

With the information given in the exercise, you can set up the following equations:

Equation 1 → f+s+t=298

Equation 2 → s=f-9

Equation 3 → t=f-14

Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":

f+(f-9)+(f-14)=298\\\\3f-23=298\\\\f=\frac{321}{3}\\\\f=107

Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".

Therefore, you get:

s=107-9\\\\s=98\\\\\\t=107-14\\\\t=93

You might be interested in
find the measure of the arc or angle indicated. assume that lines which appear tangent are tangent
Serjik [45]

Answer:

Option (1)

Step-by-step explanation:

By the property of alternate segment theorem,

"Angle formed between the tangent and the chord in a circle measures the half of the measure of the intercepted arc"

m(∠EFG) = \frac{1}{2} × m(minor arc FG)

minor arc FG = 2m(∠EFG)

                      = 2(76°)

                      = 152°

Therefore, Option (1) will be the correct option.

7 0
2 years ago
two bike riders ride around in a circular path. The first rider completes one round in 15 minutes and the second rider completes
katrin2010 [14]

Answer:

Rider 1 does one round in 15 min, and will complete another in each consecutive multiple of 15 min

Rider 2 does one round in 18 min, and will complete another in each consecutive multiple of 18 min

Assuming that they start together, they will complete another round together in a time that is both multiples of 15min and 18 min.

Then we need to find the smallest common multiple between 15 and 18.

To smallest common multiple between two numbers, a and b, is equal to:

a*b/(greatest common factor between a and b).

Now, the greatest common factor between 15 and 18 can be found if we write those numbers as a product of prime numbers, such as:

15 = 3*5

18 = 2*3*3

The greatest common factor is 3.

Then the smallest common multiple will be:

(15*18)/3 = 90

This means that after 90 mins, they will meet again at the starting place.

3 0
3 years ago
PLSSS HELP ASAP WILL GIVE BRAINLEAST!!!!!!!!!!!!
den301095 [7]

Answer:

Hello! Your answer would be, F)[1000, 10] AND C)[1000, 100]

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

8 0
3 years ago
Then add five pairs of your own explaining their connotative differences
olasank [31]
1. Crippled, Disabled 
Crippled is almost sound like a discriminating word and have a negative connotation where as disabled is more polished and reverent.
 2. Relaxed, Easy-going
 Both seem same but relaxed refers to free, pleasure and stress free but easy-going implies not serious and laziness.
 3. Knockout, Beautiful
 Knockout mainly used to imply someone is sex y where as beautiful is simple compliment for a person.
 4. Young, Immature
 Sometimes both are used in the same context but youth may be always a substitute for immature.
 5. Skinny, Thi n Both are almost similar but actually someone skinny is called thin.

4 0
3 years ago
a polygon has an area of 225 square meters. A similar polygon is created with an area that is triple the first. By what factor i
GuDViN [60]
The area of the original polygon is:
 A = 225 m ^ 2
 The similar polygon area is:
 A '= (k ^ 2) * (A)
 Substituting values:
 3 * 225 = (k ^ 2) * (225)
 Clearing k we have:
 k ^ 2 = 3
 k = (3) ^ (1/3)
 Answer:
 
The length of each side increased by:
 
k = (3) ^ (1/3)
6 0
3 years ago
Other questions:
  • Ron has to color in three shapes (square,circle and triangle) with different colors (red,blue,green). In how many different ways
    15·1 answer
  • Which of the following are measures of complementary angles? A. 50° and 41° B. 100° and 80° C. 77° and 13° D. 35° and 10°
    10·2 answers
  • PLZ HELP ME PLZ ASAP!!!!!
    9·1 answer
  • The degree of the polynomial 10x^(2)+2x^(m)y-4y is 3. What is the value of m?
    11·1 answer
  • Please answer this question now in two minutes
    6·1 answer
  • Given f(x)=x+3 what is f(4)
    6·1 answer
  • Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-2) and (x-11) ?
    12·1 answer
  • What are the solutions to x2 -8x =13
    6·2 answers
  • Cynthia invests some money in a bank which pays
    9·1 answer
  • Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!