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
4vir4ik [10]
3 years ago
15

Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt a

nd each Hat cost? Write a system of equations that can be used to solve the problem. Then solve the problem.
Mathematics
1 answer:
leonid [27]3 years ago
8 0

Answer: Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25        (i)

4x+2y=10             (ii)

Multiply 4 to equation (i)

12x+12y=45          (iii)

12x+6y= 30             (iv)

Eliminate (iv) from (iii), we get

6y= 15

⇒ y = 2.5

Put value of y in (i)

3x+3(2.5)=11.25

⇒3x+7.5=11.25

⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.

You might be interested in
Which are the correct classifications for the polygon?
katrin [286]
The correct classification for the polygon would be a concave hexagon.
6 0
3 years ago
HELP PLEASE !!29. How do the graphs of the functions y = f(x) and y = f(–x) relate when
Nezavi [6.7K]
The answer for 29 is A
5 0
3 years ago
A mechanic charges $35 to perform an inspection on a car, and $55 per hour for a repair. Which equation gives the total cost, ,
pychu [463]

Answer:

Total cost = charge fee + 55× no. of hours

Let h represents number of hours

Total cost = 35 + (55×h)

3 0
3 years ago
The perimeter of a square is represented by the expression 4(4.3 - 6). Which statement is true?O The perimeter can also be repre
lana66690 [7]

the perimeter is:

4(4x - 6)

Applying distributive property:

4(4x) - 4(6)

16x - 24

Then, the perimeter can also be represented by 16x - 24 because 4(4x - 6) can be simplified to 16x - 24

7 0
1 year ago
Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be
Oksana_A [137]
<h2>Hello!</h2>

The answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

<h2>Why?</h2>

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

x_{FirstCar}=x_o+v*t

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

x_{SecondCar}=x_o+(v+14mph)*t

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles,  so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours

Writing the equation:

264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

Have a nice day!

7 0
3 years ago
Other questions:
  • 11+ (19+6)=(11+____)+6
    5·1 answer
  • What is the answer for: -4j - 1 - 4j + 6
    12·1 answer
  • Reduce the rate 80 miles per 4 hours to its unit rate and write the miles portion of your answer in the space provided.
    13·1 answer
  • Express the tax rate of $4.95 per $100 as a percent
    10·1 answer
  • What’s a situation that can represent -4?
    10·1 answer
  • Simplify the ratio: 28:35
    7·2 answers
  • Solve 3(x+2) - 4 = 2(x-1) +5
    7·1 answer
  • Mandy's square quilt measures 99 in on each edge. how many yd of trim does she need to buy to go around the entire quilt
    6·2 answers
  • True or false a corollary is a statement that can be easily proved using a theorem
    15·1 answer
  • Given h(x) = -x + 1, find h(0).<br> Answer:
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!