HELP PLEASE WORTH 100 Points
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.
This system of inequalities models the scenario:
2x + 3y < or equal to sign 15
x + y > or equal to sign 3

Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed Provide a description of the solution set (4 points)
Part B: Is the point (5, 1) included in the solution area for the system? Justify your answer mathematically (3 points)
Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)

Answers

Answer 1

Answer:

Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.

This system of inequalities models the scenario:

2x + 3y < or equal to sign 15

x + y > or equal to sign 3


Related Questions

I was not in class when we did this and i have no idea what the answer is so if someone could help that would be wonderful

Answers

Answer:

12 < x < 13

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

a is 6, b is 11, c is x.

We have to first replace the items in the Theorem, do the exponents, then add.

1) 6^2 + 11^2 = x^2

2) 36 + 121 = x^2

3) 157 = x^2

To finally solve it we must square root everything

4) sqrt(157) = sqrt(x^2)

5) x = 12.52

So x has to be between 12 and 13

Find the value of × in each of the following

a)5+1=11
b) 2x-3=2

Answers

Step-by-step explanation:

a,it doesn't have variable

b,2x-3=2

2x=2+3

2x=5

2x/2=5/2

x=5/2

help plsssssssssssss

Answers

Answer:

27+72x

Step-by-step explanation:

ous5ourskhrskysr

Graph 3x-4y=-12 using intercepts.


Will mark brainliest if right

Answers

Answer:

See the attached file

There is also this app "desmos" it helps in this just put the equation in there

Answer:

Read below

Step-by-step explanation:

Slope-intercept form: y = mx + b

where:

m is the slopeb is the y-intercept (when x = 0)

1. Rewrite 3x - 4y = -12 into slope-intercept form:

3x - 4y = -12 [subtract 3x from both sides]

3x - 3x - 4y = -12 - 3x

-4y = -3x - 12 [divide both sides by -4]

-4y ÷ -4 = -3x - 12 ÷ -4

[tex]\implies y =\dfrac{3}{4}x + 3[/tex]

Note: with the slope-intercept form, we can quickly see that the y-intercept is (0, 3)

2. Randomly choose x-values that can help you graph the equation:

When x = -8:

[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-8) + 3\\\\y =-\dfrac{24}{4} + 3\\\\y =-6 + 3\\\\\implies y=-3[/tex]

coordinate: (-8, -3)

When x = -4:

[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-4) + 3\\\\y =-\dfrac{12}{4} + 3\\\\y =-3 + 3\\\\\implies y=0[/tex]

coordinate: (-4, 0)

When x = 8:

[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(8) + 3\\\\y =\dfrac{24}{4} + 3\\\\y =6 + 3\\\\\implies y=9[/tex]

coordinate: (8, 9)

Graph these coordinates and draw a linear (straight) line through them.

Find the area of following figures​

Answers

Answer:

AB=8

CD=7

EF=2.4

FA=2

SOLN

ab+cd+ef+fa

8+7+2.4+2

19.4

Herman is drawing a rectangle with a base that is
four times the length of its height. The perimeter of
his rectangle is 60 feet. How long are the base and
height of Herman's Rectangle?

Answers

heightAnswer:

12

Step-by-step explanation:

(x representing the smallest size)

x + 4x = 60

5x = 60

x = 12

the height is 12

to confirm:

12 x 4 = 48

48 + 12 = 60

Translate the sentence into an equation.
Six less than the product of 4 and a number equals 2 .
Use the variable c for the unknown number.

Answers

Answer:

(4xc)-6=2 then c=2

Step-by-step explanation:

because we knew that we had to do 6+2=8 so then 8 divided by 4 = 2 so the answer would be 2!

Answer:

(4c) - 6 = 2

4c - 6 = 2

c = 2

Both equations will work.

Step-by-step explanation:

"The product of 4 and a number" is the same as 4 times that number.

Since the missing number is to be said as c, the correct term for this is 4c

6 less than (4c) is the same as (4c) - 6

We have the left-hand-side of the equation as (4c) - 6

The right-hand side is 2

(4c) - 6 = 2or4c - 6 = 2

Now, we have to solve for c.

4c - 6 = 24c = 8c = 2

-Chetan K

SOLVE & SHOW YOUR WORK !!!!

Answers

Answer:

Step-by-step explanation:

You have to assume that the triangles are congruent or at least similar. If they are not, the question isn't possible.

If that is so, then <M and <X are equal.

You can find < M by stating that 20 degrees.

That's because <L + <M + <N = 180 degrees. All triangles have 180 degrees.

<L = 70                  Given

<N= 90                  So marked.

70 + <M + 90 = 180

<M = 20 degrees.

<X = <M

<X = 20

where do you get .28 from ?

Answers

Answer:

Percentage.Fraction.

Step-by-step explanation:

0.28 is like a percentage.

If so, then you can use 2 examples:

0.28 * 32.28% of 32.

The most simple way of getting it is fractions.

2 examples:

28/10028/100 * 32.

3p^2+2p-8 factor the common factor out of the expression?

Answers

Answer:

3p²+2p-8

3p²+6p-4p-8

3p(p+2)-4(p+2)

= (3p-4)(p+2)

Josh's desk is 36 inches tall. When
he meaured the desk using a yard
stick, it was 1 yard tall. Why did the
number decrease when he
measured with the yard stick?

Answers

Because the yardstick is shorter than your normal measuring tool

How do you evaluate 35/a. When a =7

Answers

Answer:

5

Step-by-step explanation:

[tex]35/a[/tex], when a = 7

Substitute

[tex]35/7[/tex] [tex]=5[/tex]

Answer:

5

Step-by-step explanation:

You substitute 7 for a in the equation.

35/a ——> 35/7

Evaluate it and your answe is 5.


I hope it helps! Have a great day!

Lilac~

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

Answer:

The Answer is C 165$

Step-by-step explanation:

Final price = original price x ((100 - % off) / 100)

final price = 220 x ((100 - 0.25) / 100)

The answer will be 165 as 220 divided by 100 is 2.2 and times by 25 would be is 55 220-55=165

factorize 35-12x + x^2​

Answers

Answer:

[tex]35-x(12-x)[/tex]

Step-by-step explanation:

[tex]35-12x+x^2=35-(12x-x^2)[/tex]

Factor out x from the parenthesis

[tex]35-x(12-x)[/tex]

Hope this helps :)

Have a nice day!

Answer:

[tex](x - 7)(x - 5[/tex]

My solvation is on the picture, Hope it helps and brainliest if correct.

PLEASE HELP ME PLEASE ITS DUE TODAY

Answers

$3.13 is the answer like it please thanks

Someone please help me I have to turn this in tomorrow

Answers

first combine like terms, let’s look at the equation.

5n + 3n - n + 5 = 26

if we combine the like terms we are left with -
7n + 5 = 26

next you want to subtract 5 from both sides of the equation -
7n + 5 - 5 = 26 - 5

then you want to simply -
7n = 21
7n/7 = 21/7

cancel terms that are both the numerator and denominator & divide the numbers -
n = 3

An airplane flies
170 miles in 2 hours
42 minutes. What is
its average speed in
miles per hour?

Answers

Answer:

The average speed is 62.96mph. Hope this helps! :)

Step-by-step explanation:

could you write 378972 with commas

Answers

Yes, and it would be 378,972

Explanation:

Yes, It can be written with commas

It will be,

[tex]378 , 972[/tex]

Remeber that: Comma is always put after interval of three numbers. First three, Then three and so on...

Write as a mathematical expression: The product of 5 and x, increased by 3

Answers

Answer:

[tex]5x + 3[/tex]

Step-by-step explanation:

(5 × x) - Product of 5 and x

=5x

increased by 3

5x +3

The graph below shows y as a function of x.

What is the relationship between x and $y$ in the graph?

A
As x increases, y increases.
B
As x increases, y decreases.
C
As x increases, y increases, then y decreases, then y increases again.

D
As x increases, y decreases, then y increases, then y decreases again.

Answers

Answer:

As x increases, y increases, then y decreases, then y increases again.

Step-by-step explanation:

The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.

Option C is the correct answer.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The graph has the following coordinates.

(0, 0), (3, 3), (4, 0), (5, -4), and (9, 0)

Now,

We see that,

From (0, 0) to (3, 3),

y increases as x increases.

And,

From (3, 3) to (4, 0).

y decreases as x increases.

And,

From (4, 0) to (5, -4).

y decreases as x increases.

And,

From (5, -4) to (9, 0).

y increases as x increases.

Thus,

The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Please help will give 50points

Answers

Answer:

a=10

Step-by-step explanation:

Using Pythagoras theorem

[tex] {(a + 2)}^{2} + {( a- 5)}^{2} = {(a + 3)}^{2} [/tex]

[tex] {a}^{2} + 4a + 4 + {a}^{2} - 10a + 25 = {a}^{2} + 6a + 9[/tex]

simplify:

[tex] {a}^{2} - 12a + 20 = 0[/tex]

(a-2)(a-10)=0

hence a= 2 or a=10 however we must reject 2 as the lengths of the triangle cannot be negative eg. the side for a-5 will be equivalent to -3 cm which is not possible for lengths to become negative

A roll of breakfast sausage weighing 4/5:of a pound is cut into 3 patties of the same size. What is the weight of each patty?

NO LINKS!!! ​

Answers

Solution:

Note that:

4x/5 ÷ 3 = 1 patty

Solve for x to find the weight of each patty.

4/5 ÷ 3 = Weight of 1 patty=> 4/5 x 1/3 = 1 patty=> 4/15 = 1 patty

The weight of a patty is 4/15 of a pound.

Answer:

4/15

Step-by-step explanation:

Hope this helps! Sorry if I am wrong.

Which sides can make a triangle the question is in the photo

Answers

Answer: I believe it is 10cm 9cm 9cm

Step-by-step explanation:

Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side

PLEASE HELP ME I think i know the answer but im not sure

Answers

Answer:

2537

Step-by-step explanation:

3/5 of 4,283.30 = 2569.98

2569.98 - 19.99 = 2549.99

2549.99 - 12.99 = 2537

Solve ? (0.7 + y) times 8.7

Answers

8.7(0.7+y)

expand

6.09+8.7y

What is 11 4/8 - 5 6/8

Answers

Answer:

= 114/8-56/8

= 14.25-56/8

= 14.25-7

= 7.25

Step-by-step explanation:

This is Bedmas so remember brackets, exponents, addition, multiplication and subtraction.

I hope this helps!!

Answer:

46/8 is the answer

hope it help

6. A car traveled 30 kilometers for 2 hours, what is its speed? A. 15.0km/h B. 28.0km/h C. 30.0km/h C. 60.Okm/h




answer :b


Answers

Answer:

A. 15.0km/h

Step-by-step explanation:

30km/2hr = 15km/hr

Answer:

A. 15.0km/H hope this helps

Four times the number of mangoes Mark picked equals the number Jordan picked for a week. If Jordan picked 20 mangoes each day, how many mangoes did Mark pick?

Answers

Answer:

5

Step-by-step explanation:

The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5

A field is a rectangle with a perimeter of 1110 feet. The length is 100 feet mora than the width. Find the width and length of the rectangular field

Answers

Answer:

W: 455 ft

L :.655 ft

Step-by-step explanation:

I did the math if it's wrong I'm so sorry but I'm 99.9% sure it's right.

~giving brainliest for answering this one question~

Answers

Answer: 3 minutes 50.51 seconds

Step-by-step explanation:

10/100 of a second = 0.1 second

So the American's time = 3 minutes 50.61 second - 0.1 second

= 3 minutes 50.51 seconds

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