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
hjlf
3 years ago
6

A store sells 70 soccer balls one for $15.00 each and the other for $65.00 they made a total of 2,400. Write and solve the equat

ion to determine how many of each were sold
Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

One store sold 27, and the other sold 43.

Step-by-step explanation:

So, we can easily set this up in an equation. X represents the number of soccer balls in store one, and Y represents the number of soccer balls in store two. Since there's a total of 70 soccer balls...

x+y=70

And since we know how much money they sold for and made total...

15x+65y=2400

We'll grab that first equation and change it around a bit. We'll make it an equation where we're solving for y. Remember that when we switch a value from one side to the other, that value becomes negative. Since x is going to the other side, the x becomes negative.

y=-x+70

We can plug this equation into our second one.

15x+65(-x+70)=2400

We distribute the 65 to the values inside the parentheses.

15x-65x+4550=2400

We only want x on the left side, so we're going to subtract 4550 from both sides.

15x-65x=-2150

Then we can subtract 15x by 65x, resulting in another negative number.

-50x=-2150

Then, we just divide both sides by -50. A negative and a negative makes for a positive.

x=43

Now we know one store sold 43 soccer balls for $15 each. We can plug our new x into the first equation.

43+y=70

Then we subtract both sides by 43.

y=27

Now we know the other store sold 27 soccer balls for a whopping $65 each. Just to double check, we'll plug our numbers into the other equation, too.

15(43)+65(27)=2400

645+1755=2400

Yep! So, we end up with one store selling 43 and the other selling 27.

You might be interested in
Wendy is creating a large soup based on a recipe. Her recipe calls for of a pint of milk, but she only has of a pint of milk, so
Viktor [21]
I'm sorry but maybe you wrote this wrong. If Wendy has 1 pint of milk and only needs 1 pint of milk, then she has exactly the amount she needs.
4 0
3 years ago
Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
ololo11 [35]

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

4 0
2 years ago
A farmer plants 5 carrot seeds every 3 inches. Which
Serga [27]

Answer: 84 inches

Step-by-step explanation: When we look at how many carrot seeds he plants every 3 inches we can see that he plants 5 every time. This is saying that every 3 inches he will place 5 carrot seeds. If he wants to plant 140 seeds, he will still be planting 5 seeds every 3 inches. This means that we need to multiply the 140 seeds by 3 inches and divide by 5 to get our answer. This is 420 / 5 which equals 84. I think that is how it is done I am very sure of it!()_()()-();)

7 0
3 years ago
I need help with question 10 (math work is about adding fractions with putting them in simplest form)
goldenfox [79]

Answer: The answer is equivalent fractions.

Step-by-step explanation:

I hope this helped you! :D

8 0
3 years ago
Please help due today
sweet-ann [11.9K]

Answer:

It is a function

Step-by-step explanation:

This isn't really a step by step explanation but I'm going to explain this simply. An output can have as many inputs possible but an input can only have ONE OUTPUT(just putting emphasis on this one output, I'm not yelling). Example, the input "2" can be equal to the output of "4" depending on the equation the fuction, however, the input of "2" CAN NOT be equal to the outputs of "4" and "6" because as my Algebra teacher explained it "for every input, there is exactly one output". I hope this helps and I hope I didn't lose you in my explaination.

4 0
2 years ago
Other questions:
  • Can you help me find the answer
    5·1 answer
  • In Act III, scene ii of Julius Caesar, who gave their reasons for why Caesar was killed ?
    11·1 answer
  • IXL geometry please help!
    7·1 answer
  • (Urgent) Worth 10 points 7.3
    10·2 answers
  • Choose yes or no to tell whether the pairs of angles are congruent
    11·2 answers
  • Como simplifico la fracción 75/1746
    14·1 answer
  • A group of 31 friends gets together to play a sport. First, people must be divided into teams. Each team has to have exactly 3 p
    6·2 answers
  • "A curtain manufacturer uses a 90-yard roll of material to make 77 identical curtains. There was 7.75 yards of material left ove
    11·2 answers
  • Which of the following is divisible by 3?<br>a) 10<br>b) 24<br>c) 67<br>d) 555​
    11·2 answers
  • HELPPPPPPPPPPP. please explain how u got the answer
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!