Jayden and Carson are selling T-shirts and sweatshirts with the school logo. Jayden sells 9
T-shirts and 3 sweatshirts for $288. Carson sells 1 T-shirt and
6 sweatshirts for $270. Find the selling prices of each item,
1. Write a system of equations to represent the situation.
2. Solve the system of equations.
Part A
Use elimination or substitution to solve. Show your work.
Part B
Which method of solving did you choose? Explain your reasoning,

Answer:

[tex]\boxed {\boxed {\sf y= - \frac{4}{3} x -7}}[/tex]

Step-by-step explanation:

We can find the equation using the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point and m is the slope.

We already know the point is (-6,1). We must find the slope.

We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3

Next, define values for the variables.

[tex]x_1= -6 \\y_1= 1\\m= - \frac{4}{3}[/tex]

Substitute the values into the formula.

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

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

Now put the equation into the form y=mx+b. First, distribute the -4/3 .

[tex]y-1= - \frac{4}{3} *x+ - \frac {4}{3}*6[/tex]

[tex]y-1= - \frac{4}{3} x - 8[/tex]

Add 1 to both sides to isolate y.

[tex]y-1+1= - \frac{4}{3} x - 8+1[/tex]

[tex]y= - \frac{4}{3} x -7[/tex]

The equation of the line is y=-4/3x -7

Answer:

its b

Step-by-step explanation:

The proportion that can be used to show that the slope of JL is equal to the slope of MP is (0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))

From the question, we understand that triangle MNP and triangle JKL are similar right triangles.

This means that triangle MNP and triangle JKL have the same slope

From the figure, we have the following coordinates of the triangles

J = (-7, 4)

L = (-4, 0)

M = (-10, 8)

P = (-1, -4)

The slope is calculated as

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

So, we have

JL = (0 - 4)/(-4 - (-7))

Also, we have

MP = (-4 - 8)/(-1 - (-10))

Equate both equations

So, we have

(0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))

Hence, the proportion that can be used to show that the slope of JL is equal to the slope of MP is (0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))

Read more about slope at

https://brainly.com/question/3493733

#SPJ1

Answer:

im pretty sure it's called a right angle or right angle quadrant

Step-by-step explanation:

if it's a square in a corner of a triangle then it is a right angle and the degrees would be 90

correct me if i'm wrong

Hope this helps! :)

Answer:

9 cans of soup and 4 frozen dinners

Step-by-step explanation:

Answer:

8.25 pounds

Step-by-step explanation:

Its $3 per pound, so 24.75/3= 8.25

Answer: 8.25 lbs.

Steps:

18 / 6 = 3 dollars per pound

24.75 / 3 = 8.25

Answer:

thi dhany kar rahe the aur man apane ghar men hi the jinhone apani bat ko lekar bhi

Answer:

81

Step-by-step explanation:

4 : 9

36 : ?

to get from 4 to 36, you multiply 9

9 x 9 = 81

Answer:

4182

Step-by-step explanation:

Answer:

sorry need point

Step-by-step explanation:

Answer:

sin (55) = cos (35)

sin (62) = cos (28)

Hope that this could help!! (▰˘◡˘▰)

Answer:

Where is your question

Step-by-step explanation:

Answer:

The shape is approximately normal, with mean of 140 grams and standard deviation of 5.37 grams.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

What is the shape of the distribution of the sample mean for all possible random samples of size 5 from this population?

By the Central Limit Theorem, the shape is approximately normal.

Mean is [tex]\mu = 140[/tex]

Standard deviation is [tex]s = \frac{12}{\sqrt{5}} = 5.37[/tex]

The shape is approximately normal, with mean of 140 grams and standard deviation of 5.37 grams.

Answer:

136 hamburgers

Step-by-step explanation:

Create an equation where x is the number of hamburgers sold.

The number of cheeseburgers sold can be represented by 3x, since it was 3 times the number of hamburgers.

3x + x = 544

Solve for x:

4x = 544

x = 136

So, 136 hamburgers were sold on Monday

Answer:

12

Step-by-step explanation:

You have to substitute a by 17 and then just subtract.

Answer:

well you see it really

Step-by-step explanation:

Probability (Ball goes into hole) = 0.22388 or 22.388%

Step-by-step explanation:

Given:

Ball goes into hole = 15 times

Ball miss the hole = 52 times

Find:

Probability (Ball goes into hole)

Computation:

Total number of tries = 15 + 52

Total number of tries = 67

Probability (Ball goes into hole) = 15 / 67

Probability (Ball goes into hole) = 0.22388 or 22.388%

Answer:

Did not let me say app names lol

Answer:

i think its this one (x−30)(x+3)

Answer:

14 or the other possible answer could be 7 if you have any of those answers I hope I helped i'm really sorry if you were waiting also good spring break. :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

width of kite=2[√(17²-15²)]=2√(289-225)=2√64=2×8=16

area of kite=(22×16)/2=176 sq. units

Answer:

1 1/3

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

Answer:

(0.8333, 9.5)

Step-by-step explanation:

set them equal

9x+2=-3x+12

12x=10

x=0.8333

plug x into the equation

9(0.8333)+2 = 9.5

-3(0.8333)+12 = 9.5

Answer:

(5/3,17)

Step-by-step explanation:

If your second equation is y=-3x+12 your answer will be (5/3,17)

Answer:

293/10=u

thats the equations

Answer:

b

Step-by-step explanation:

Answer:

-18.3

Step-by-step explanation:

Answer:

I don't even get what you want us to do

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

The formula is L*W*H

6*8*10=480