Jayden and Carson are selling T-shirts and sweatshirts for a fundraiser. Jayden sells 9 T-shirts and 3 sweatshirts for $420. Carson sells 1 T-shirt and 6 sweatshirts for $296.

Write a system of equations (without solving it) representing the price of a T-shirt, t, and the price of a sweatshirt, s

Answers

Answer 1

Answer:

9t + 3s = 420

t + 6s = 296

s =44; t = 32

Step-by-step explanation:

Let

Price of a T-shirt = t

Price of a sweatshirt = s

Jayden:

9t + 3s = 420

Carson:

t + 6s = 296

9t + 3s = 420 (1)

t + 6s = 296 (2)

From (2)

t =296 - 6s

Substitute t =296 - 6s into (1)

9t + 3s = 420 (1)

9(296 - 6s) + 3s = 420

2664 - 54s + 3s = 420

2,664 - 51s = 420

-51s = 420 - 2,664

-51s = -2,244

s = 44

Substitute s = 44 into (2)

t + 6s = 296

t + 6(44) = 296

t + 264 = 296

t = 296 - 264

t = 32

s =44; t = 32


Related Questions


Starting money = $350.
Interest rate = 2.5%
Time - 3 years.
How much interest?
a) $7.50
b) $26.25

Answers

Answer:

Step-by-step explanation:

I=Prt

I=350(0.025)3

I=$26.25

Like terms in the expression
3n+7-n-3

Answers

Answer:

3n and n, 7 and  -3

Step-by-step explanation:

Like terms are those that can be added or subtracted, so variables are like terms and numbers (constants)

3n and n,7 and -3

like terms are those that can be added or subtracted,so variable are like terms and numbers(constant)

Please help it’s just one question <3

Answers

The answer for this is B.

The value v of your quarters in cents) is a function of n, the number of quarters you have.
a. Give 2 input-output pairs that represent this function.
b. Write an equation that represents this function.
c. Find the output when the input is 10.
d. Identify the independent and dependent variables.

Answers

Answer:

a) (2, 0.5)  (4, 1)

b) V(n) = 0.25n

c) $2.50

d) # quarters = independent

value = dependent

Step-by-step explanation:

The independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.

a. Give 2 input-output pairs that represent this function.

There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.

Hence, the two pairs should be as,

(2, 50), (4, 100)

b. Write an equation that represents this function.

As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

c. Find the output when the input is 10.

Put the value 10 on the place of n in the above equation as,

[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]

The output when the input is 10 is 250 cents.

d. Identify the independent and dependent variables.

The independent value is the number of quarters and the dependent variable is the value of cents.

Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Help!
Please show work

Answers

Answer:

131°

Step-by-step explanation:

to find the total degrees of this polygon, we use the equation

=> n - 2 × 180°                         (n= number of sides)

5 - 2 × 180° = 540°

now by using angle sum property,

540° = 80° + 148° + 81° + 100° + [tex]x[/tex]°

540° = 409° + [tex]x[/tex]°

[tex]x[/tex]° = 540° - 409°

[tex]x[/tex]° = 131°

How many solutions does this problem have
Y=-2x -4
Y= 3x plus 3

Answers

Answer:

There is one possible solution

Step-by-step explanation:

Here, we want to get the number of solutions

We can proceed to solve the equation

we have two y values so we can directly equate the x parts

-2x - 4 = 3x + 3

3x + 2x = -3-4

5x = -7

x = -7/5

To get y, we substitute

We can only get one value of y too

So we have a point (x,y) as the solution to the system of equations

Draw line segment AB - 7cm and bisect it using compass.​

Answers

Answer:

Your answer is in picture.Steps of construction:

(i) Draw a line segment AB = 7 cm.

(ii) With A as centre and radius more than half of AB, draw arcs, one on each side of AB.

(iii) With B as centre and same radius as before, draw arcs, cutting the previously drawn arcs at X and Y respectively.

(iv) Now join XY, meeting AB at O.

Thus, XY is the perpendicular bisector of AB.

Step-by-step explanation:

Hope it is helpful....

HELP ME PLZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

10. =13/6

11. =17/3

12. =76/9

13. =22/7

Hope this helped!!

Identify the pairs of corresponding angles

Answers

Answer: A

Step-by-step explanation:

If you flip the second triangle straight upwards so that x is on top and z,y are on the bottom, you could visualize the points and angles in the same locations.

What is the answer for x and y?

Answers

Answer:

x = 110

y = 70

Step-by-step explanation:

x = 110  {Corresponding angles}

y +40 = x        {Exterior angle property}

y + 40 = 110

       y = 110 - 40

       y = 70

Question 15
Identify the notes on the treble clef staff. Your answer should spell a word. For the line notes, use your mnemonic device.

Answers

Answer:

FEED

Explanation:

Notes on the lines = E G B D F (from bottom to top)

Notes in between the lines = F A C E (from bottom to top)

little help:

you can remember the notes on the line by making a sentence with the letters

ex:

E = every

G = good

B = boy

D = deserves

F = fun

Which of the following expressions has a value of 3? Select all that apply.
o 6 = -2
4- (-1)
(-1)(-3)
(-2) - 1
O 15 = -5
o 4+1

Answers

Answer:

1) -6/-2

3) (-1)(-3)

w
Z
1. Which of the following terms best
describes the relationship between
Zw and 2X?
A corresponding angles
B same-side interior angles
C alternate interior angles

Answers

Answer:

b

Step-by-step explanation:

Alyssa swims 3 laps in 12 minutes. At this same
rate, how many laps will she swim in 30 minutes?

Answers

Answer:

I think 7

Step-by-step explanation:

By the way I'm a swimmer, and even I could swim 3 laps under 12 minutes. This poor girl is slow...

20% of

games is 8 games

Answers

Answer:

games is 40

Step-by-step explanation:

you know that 20% of games is 8. let's take a look at this from a fractions view. 1/5 of 100 is 20. so if 8 is 1/5 of Games, multiply 8 x 5 to find the whole, which is 40, the answer!

Madison represented the sentence “The product of 3 and the difference of Negative 4 and the quotient of a number and Negative 2 is at most 5” by using the inequality 3 (Negative 4 minus StartFraction n over negative 2 EndFraction) less-than 5.
Which best describes Madison’s error?
“The difference of –4 and the quotient of a number and –2” should be written as StartFraction negative 4 minus n over negative 2 EndFraction.
“The product of 3 and the difference of –4 and the quotient of a number and –2” should be written as 3 (negative 4) minus (StartFraction n over negative 2 EndFraction).
The less than symbol should be replaced with the less than or equal to symbol.
The less than symbol should be replaced with the greater than symbol.

Answers

9514 1404 393

Answer:

  (c)  The less than symbol should be replaced with the less than or equal to symbol.

Step-by-step explanation:

"At most" means "less than or equal to". Madison needs to use ≤ instead of <.

Answer:

C     Its right, dont read the explanation doe.

Step-by-step explanation:

Bingus Chungus Orb

The wheels of a car have a radius of 14 inches and are rotating at 750rmp. Find the speed of the car in mi/h

Answers

Add 750 plus 14 Answer: 764

Please help me I’ll give points just please help me!!

Answers

Answer:

115

Step-by-step explanation:

It should equal 115 degrees.

Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).

Answers

Answer:

y = 2/5x + 33/5

Step-by-step explanation:

(-9,3) and (1,7)

m=(y2-y1)/(x2-x1)

m=(7-3)/(1+9)

m=4/10

m = 2/5

y - y1 = m(x - x1)

y - 3 = 2/5(x + 9)

y - 3 = 2/5x + 18/5

y = 2/5x + 33/5

Evaluate f(x)=13(6)^x for x=3

Answers

Answer:

f(x) or y=2808

Step-by-step explanation:

In AKLM, m K = 59° and mZL = 95º. Which list has
the sides of AKLM in order from longest to shortest?
KL, LM, MK
MK, KL, LM
LM, MK, KL
LM, KL, MK
KL, MK, LM
MK, LM, KL

Answers

Answer:

no entiendo nada :v :( pero grasias por los puntos

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

[tex]X\leq 1[/tex]

Because the line show X is 1 or less.

Answer:

X [tex]\leq[/tex] 1

Step-by-step explanation:

Since the dot is solid that means it includes 1

and since the line is going towards negative infinity that is why it is less than

So X is less than or equal to 1 which is the first answer

Joe measures side lengths of triangular canvas to be 22 inches, 10 inches and 11 inches. Could those be correct measurements?

Answers

Answer:

Incorrect measurement

Step-by-step explanation:

Given

Shape: Triangle

Length: 22in, 10in and 11in

Required: Determine if the measurements are correct

For the measurement of a triangle to be true, the sum of any 2 sides must be greater than the length of the third side.

i.e.

[tex]22 + 10 > 11[/tex] --- True

[tex]22 + 11 > 10[/tex] --- True

[tex]11 + 10 > 22[/tex] --- False

Since all three conditions are not true, then the measurements are incorrect

how do i simplify this problem?

Answers

Answer:

[tex]9x \frac{19}{4}[/tex]

Step-by-step explanation:

Given Expression:

[tex]\sqrt[4]{(3x^3)^3 times (3x^2)^5}[/tex]

Simplification:

[tex]9x\frac{19}{4}[/tex]

9. A photographer rented a booth at an art fair for $630. The photographer sold each
photograph for $45 and made a total of $1,980 after paying for the booth. How many
photographs did the photographer sell at the fair?
A. 14
B 30
a. 44
D. 58

Answers

B.30 because you have to subtract the amount of the cart from the total then divide that to 45 to see how many paintings

:Find x+y, if: 2x+3y=8 and 3x+5y=13

Answers

Answer:

x=1

y=3

Step-by-step explanation:

Heres a photo with explanation

The solution of the equations 2x + 3y = 8 and 3x + 5y = 13 will be (1, 2). Then the value of the expression x + y will be 3.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

2x + 3y = 8             ...1

3x + 5y = 13            ...2

Multiply equation 1 by 3 and equation 2 by -2, then we have

6x + 9y = 24

-6x - 10y = - 26

Add the above equations, then we have

- 26 + 24 = 9y - 10y

y = 2

Then the value of the variable 'x' is calculated as,

3x + 5(2) = 13

3x + 10 = 13

3x = 3

x = 1

Then the value of the expression x + y is calculated as,

⇒ x + y

⇒ 1 + 2

⇒ 3

The solution of the equations 2x + 3y = 8 and 3x + 5y = 13 will be (1, 2). Then the value of the expression x + y will be 3.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

2. 3x = у у= 2х + 2 2​

Answers

Answer:

Step-by-step explanation:

3x = y        ------------(I)

y = 2x + 22 ---------------(II)

Substitute y = 2x + 22 in equation (I)

3x = 2x + 22           {Subtract 2x form both sides}

3x -2x = 22              

      x = 22

Plugin x = 22 in equation (I)

3*22 = y

y = 66

Answer:

Step-by-step explanation:

3x = y

y = 2x + 22

3x = 2x + 22      

3x -2x = 22              

x = 22

3x22 = y

66=y

x + y = 30

2x + 4y = 84

Substitution
or
Elimination
I

Answers

Answer:

(X,Y)(18,12)

Step-by-step explanation:

x + y = 30

2x + 4y = 84

___________

2x+2y=60

2x+4y=84

_________

-2y=-24/-2y

y=12

2x+4(12)=84

2x+48=84

2x=84-48

2x/2=36/2

X=18

i need help
someone pls

Answers

Answer:

≈ 66.5 m

Step-by-step explanation:

Using the sine ratio in the right triangle

sin12° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{d}{320}[/tex] ( multiply both sides by 320 )

320 × sin12° = d , then

d ≈ 66.5 m ( to 1 dec. place )

Find uw if vw= 5/8 in

Answers

Answer:

4/8, which reduced is 1/2. Final answer!

Step-by-step explanation:

IF RIGHT PLZ GIVE BRAINLIEST

THANK U

HAVE A GREAT DAY AND BE SADE :)

XD

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