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3 years ago

14

I do not get this can u help me

1 answer:

Fed [463]3 years ago

6 0

Okay hey ill help you let me figure out how to type the equation out for you

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Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

sattari [20]

Answer:

Solutions: (2,10), (4,5)

Not solutions: (1,12), (6,10), (12,8), (18,6)

Step-by-step explanation:

Let x be the number of packages of pasta and y be the number of jars of pasta sauce. If pasta costs $1 for a 1-pound package, then x packages of pasta cost $x and weigh x pounds. If pasta sauce costs $3 for a 1.5 pound jar, then y jars cost $3y and weigh 1.5y pounds.

1. Tyler has $36, then

$x+3y\le 36.$

2. Tyler can carry up to 20 pounds of food in his backpack, then

$x+1.5y\le 20.$

You get the following system of inequalities:

$\left\{\begin{array}{l}x+3y\le 36\\ x+1.5y\le 20\end{array}\right.$

Now substitute the coordinates of each point:

<u>(1,12):</u>

$\left\{\begin{array}{l}1+3\cdot 12=37> 36\\ 1+1.5\cdot 12=19\le 20\end{array}\right.$

False, because first inequality doesn't hold.

<u>(2,10):</u>

$\left\{\begin{array}{l}2+3\cdot 10=32\le 36\\ 2+1.5\cdot 10=17\le 20\end{array}\right.$

True, both inequalities hold.

<u>(4,5):</u>

$\left\{\begin{array}{l}4+3\cdot 5=19\le 36\\ 4+1.5\cdot 5=11.5\le 20\end{array}\right.$

True, both inequalities hold.

<u>(6,10):</u>

$\left\{\begin{array}{l}6+3\cdot 10=36\le 36\\ 6+1.5\cdot 10=21> 20\end{array}\right.$

False, because secondt inequality doesn't hold.

<u>(12,8):</u>

$\left\{\begin{array}{l}12+3\cdot 8=36\le 36\\ 12+1.5\cdot 8=24> 20\end{array}\right.$

False, because second inequality doesn't hold.

<u>(18,6):</u>

$\left\{\begin{array}{l}18+3\cdot 6=36\le 36\\ 18+1.5\cdot 6=27> 20\end{array}\right.$

False, because second inequality doesn't hold.

7 0

3 years ago

Calculate the distance she covers (use feet as your unit of measurement for the final answer) as she grabs her loot on the islan

Leokris [45]

she went to 5 diffrent places sooooo yuh and this makes absolutly no sense

7 0

3 years ago

Consider the line y=-1/2x+8

OverLord2011 [107]

Given parameters:

Equation of the line is y = - $\frac{1}{2} x$ + 8

Unknown:

Slope of line parallel to this line = ?

Slope of line perpendicular = ?

Solution:

A line parallel to this line will have the same slope with it.

A line perpendicular will have the negative inverse of this slope;

Slope of line = - $\frac{1}{2}$

Slope of line parallel to this line = $-\frac{1}{2}$

Slope of line perpendicular = negative inverse = -( -( $\frac{1}{\frac{1}{2} }$ )) = 2

So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2

6 0

3 years ago

PLSSSS HELP MEEE WITH THISSSS

VashaNatasha [74]

Answer:

x=-6 y=-26

Step-by-step explanation:

in the first is -4 every time, in the second is -20 every time

7 0

3 years ago

I need help with these two questions ASAP and preferably shown work.. Thank you!

max2010maxim [7]

Just look it up you can find the answers you are looking for

5 0

2 years ago

Read 2 more answers