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 and each Hat cost? Write a system of equations that can be used to solve the problem. Then solve the problem.

Answers

Answer 1

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.


Related Questions

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Step-by-step explanation:

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Bella goes to the store and spends 10 dollars . she spends all her money buying 0.25 candy.How much candy does she buy?

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Answer:

40 candies

Step-by-step explanation:

0.25 x 4= 1.00

0.25 x 40= 10.00

Enter the correct answer in the box.
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Answer:

guy above me is wrigth. If you have any doubts see the picture.

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Answer:

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Step-by-step explanation:

if you were to fold that it would make a rectangular prism.

Answer:

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Step-by-step explanation:

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an isosceles right triangle has an area 8 cm square find the length of its hypotenuse​
please answer me fast

Answers

Answer:

5.9

Step-by-step explanation:

Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use

[tex] {4}^{2} + {4}^{2} = {c}^{2} [/tex]

which simplify to

[tex]16 + 16 = {c}^{2} [/tex]

[tex]32 = {c}^{2} [/tex]

[tex] \sqrt{32} [/tex]

which is about 5.9

what is y=4/5x+2 in standard form​

Answers

Answer:

4x-5y=-10

Step-by-step explanation:

The standard form of a linear equation is Ax+By=CAx+By=C.

Multiply both sides by 55.

5y=5(45x+2)5y=5(45x+2)

Simplify 5(45x+2)5(45x+2).

Tap for more steps...

5y=4x+105y=4x+10

Rewrite the equation with the sides flipped.

4x+10=5y4x+10=5y

Move all terms containing variables to the left side of the equation.

4x−5y+10=04x-5y+10=0

Subtract 1010 from both sides of the equation.

4x−5y=−104x-5y=-10

Please help me! The problem ask you to identify the slope and the y-intercept of the line. And it ask to write the equation in slope intercept form

Answers

The y-intercept is 1

Whats is 9764 + 756 + 775678 +999

Answers

The answer would be 787197

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Have a great day/night

Answer:

787197

Step-by-step explanation:

YOU: yay its correct, this is the best answer ever.

ME: ya it is.

the ratio of the perimeter of square RSTU to the perimeter of square WXYZ is 1 to 3. The area of square RSTU is 36 square inches. what is the area of square WXYZ? (show work)[tex]show work please[/tex]

Answers

Answer:

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Step-by-step explanation:

There are 42 pets at a local pet shop. Twenty-eight of the pets are fish, and the rest are birds. What is the ratio of fish to birds in the pet shop?
3 to 1
2 to 1
3 to 2
I don't know.

Answers

Answer:

Its 2 to 1. I just took the quizz!!!

Step-by-step explanation:

The ratio of fish to birds in the local pet shop is 2:1.

What are equivalent ratios?

"Equivalent ratios are those that can be simplified or reduced to the same value. In other words, two ratios are considered equivalent if one can be expressed as a multiple of the other".

For the given situation,

Total number of pets in local pet shop = 42

Number of fish = 28, Then

Number of birds = [tex]42-28[/tex]

⇒ [tex]14[/tex]

Thus ratio of pets to fish = [tex]28:14[/tex]

Simplify the ratio to the smallest fraction

Dividing 14 on both sides,

⇒ [tex]2:1[/tex]

Hence we can conclude that the ratio of fish to birds in the local pet shop is 2:1.

Learn more about the equivalent ratios here

https://brainly.com/question/18074939

#SPJ2

What is an equation of the line that passes through the points (-6, 2) and
(-4, -1)? Put your answer in fully reduced form.

Answers

Answer (assuming the equation can be written in point-slope form):

[tex]y-2 = -\frac{3}{2}(x+6)[/tex]

Step-by-step explanation:  

When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].

1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:

[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]

Thus, the slope is [tex]-\frac{3}{2}[/tex].

2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for

[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]

Solve the inequality.
X+6 < 8

Answers

Answer:

d. x≤2

Step-by-step explanation:

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Answer:

A

B

C

D

E

Step-by-step explanation:

You need 180 or 360 degrees to make a Cyclic Quadrilateral.

So, if you add all of the expressions. You get 360.

Hopefully, you get it right!

1. 3( x + 4y - 2) =
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Answer:

I love algebra anyways

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Step-by-step explanation:

Carla has $300 in her bank account. Each time she goes to the ATM, she withdraws $20. The amount of money left in her bank account after ATM withdrawals is represented by the function f(x)=300-20x. What does the -intercept represent?

A. After 15 withdrawals, Carla has $0 left in her account.

B. After 20 withdrawals, Carla has $0 left in her account.

C. After 20 withdrawals, Carla has $15 left in her account.

D. After 0 withdrawals, Carla has $300 left in her account.

Answers

Answer:

The answer is A.

Step-by-step explanation:

What is the solution of the system? Use elimination.

3 (-5x-2y=6)
3x+6y=6

Answers

Answer:

x = -2 and y = 2

Step-by-step explanation:

The given equations are :

-5x-2y=6 ...(1)

3x+6y=6 ...(2)

Multiply equation (1) by 3. SO,

-15x-6y=18 ...(3)

Adding equation (2) and (3).

3x+6y-15x-6y = 6+18

-12x = 24

x = -2

Put the value of x in equation (1).

-5(-2)-2y=6

10-2y=6

4=2y

y = 2

So, the value of x is -2 and y is 2.

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Answer: f(x)= -3x 2 -5x +8

Step-by-step explanation:

The amount earned in dollars for recycling p pounds of copper is 2p. How much do you earn for recycling 28 pounds of copper

Answers

Answer:

56 dollars are earned for recycling 28 pounds of copper.

Step-by-step explanation:

Quantity of copper recycled = [tex]p[/tex] pounds

Amount earned in dollars for recycling [tex]p[/tex] pounds of copper = [tex]2p[/tex]

Also,

Quantity of copper recycled = [tex]28[/tex] pounds

Therefore,

Amount earned in dollars for recycling [tex]28[/tex] pounds of copper = [tex]2(28)=56[/tex] dollars

So,

56 dollars are earned for recycling 28 pounds of copper.

Simplify the expression:
-10(32-6)
—————
3

Answers

Answer: -260

Step-by-step explanation:

Answer:

-260

Step-by-step explanation:

First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.

So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.

So, -320 + 60 = -260

write an equivalent expression for 4(g-6)-7g. Simplify the expression.

Answers

Answer:

-3g-24

Step-by-step explanation:

4(g-6)-7g

= 4g-24-7g

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Will's band played 33 shows in three months. How many shows per month did they play?

Answers

Answer:

11

Step-by-step explanation:

33÷3= 11

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ANSWER ASAP/GIVING HIGH RATING DUE SOON,PLS JUST ANSWER I HAVE AKOT OF WORK DUE IN 10 MINS​

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Find the median of the set of data.
5 10 18 36 29 18 15 10

Answers

Answer:

Put them in order 5 , 10 , 10, 15, 18, 18, 29, 3615+18/2 = 16.5

what's the gcf for x^3 y^2 and xy^5

Answers

Answer:   xy^2

=====================================================

Explanation:

We can rewrite x^3y^2 into x*x^2*y^2

We can rewrite xy^5 into x*y^2*y^3

Note how x*x^2*y^2 and x*y^2*y^3 both have an x in common. So that means x is part of the GCF.

Similarly, x*x^2*y^2 and x*y^2*y^3 have y^2 in common as well.

Overall, both original expressions contain x and y^2 which leads to the overall GCF being xy^2

Xy^2 is the answer to this!

Witch multiplication equation describes the picture of third pies below

Answers

answer:there is no picture

at a party, everyone shook hands with everybody else. there were 66 handshakes. How many people shook hands?

Answers

Answer:

12

Step-by-step explanation:

0 + 1 + 2 + 3+ 4 + 5 + 6 + 7 +8 + 9 + 10 + 11 seems to equal 66. That means there are 11 + 1 = 12 people (don’t forget to count the person who shakes 0 hands)

A sales person saw the car for 18,250 and their commission is 912 and $.50 what percentage of the sales price is their commission

Answers

Answer:

the percentage of the sales price that is their commission is 5 %.

Step-by-step explanation:

Given;

price of the car, P = $18,250

commission, = $912.5

Let the percentage of the sales price that is their commission = y%

The percentage of the sales price that is their commission is calculated as;

[tex]\frac{y}{100} \times 18,250 = 912.5\\\\18,250y = 91250\\\\y = \frac{91250}{18250} \\\\y = 5 \ \%[/tex]

Therefore, the percentage of the sales price that is their commission is 5 %.

Direction: Match the exponential notation in Column A to its
equivalent in column B.
Column A
Column B
1.3.
2.54
3.82
• B. 243
C. 512
4.94
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5.2.
E. 1.024​

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Answer:

446565688987888888 ti ifyx

The area of a typical eardrum is about 5.00 10-5 m2. (a) Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. 5e-5 Correct: Your answer is correct. W (b) How much energy is transferred to the eardrum exposed to this sound for 4.10 min

Answers

Answer:

5 * 10^-5 W

1.23 * 10^-2 J

Step-by-step explanation:

Given that :

Area = 5 * 10^-5 m²

Threshold of Pain = Intensity = 1.00 W/m2

Using the relation:

Intensity = power / Area

Hence,

Power = Intensity * Area

Power = 1 W/m² * 5 * 10^-5 m²

Power = 5 * 10^-5 W

Energy transferred to eardrum. Exposed for 4.10 minutes :

Using the relation :

Energy = Power * time

Energy = 5 * 10^-5 * (4.10 * 60 seconds)

Energy = 5 * 10^-5 W * 246 s

Energy = 0.0123

= 1.23 * 10^-2 J

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