match the simplified expressions to an equivalent expression

Answer:

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

Step-by-step explanation:

given:

Cost Eggs = $2

Cost of edema = $5

cost of  elbow Macaroni = $3

Lets eggs = x,

edamame = y

elbow macaroni = z

TC = 2x+5y+3z

Therefore;

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

the first objective is to make sure the total cost is subject to the required nutritional requirements.

So the total cost function (TC) is denoted by the number of servings multiplied for each costs. Eggs cost $2, edamame $5, and macaroni $3.

The problem subjects that each meal contains at least 40g of carbohydrates (this is the condition).

to get this we need to add what each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.

Same should be done for protein, we require at least 20 grams of protein,  Eggs add 17g, edamame adds 12g, and macaroni adds 8g.

and lastly we don't want more than 50 grams of fat,  Eggs add 14g, edamame add 6g and macaroni 1g.

Answer:

(1,2)

(-1,2)

(1,-2)

(-1,-2)

Answer:

slope= 1.5 or 3/2

Answer:

1.5 or 3/2

Step-by-step explanation:

First point: (-1, 2)

Second point: (1, 5)

Using the formula for slope, (5-2)/(1+1) = 3/2

Answer:

2.4x - 4.4

Step-by-step explanation:

0.3(4x – 8) – 0.5(–2.4x + 4)

1.2x - 2.4 + 1.2x -2

2.4x - 4.4

Answer:

Range: [5,∞),{y|y≥5}

Step-by-step explanation:

Set the radicand in √x greater than or equal to 0 to find where the expression is defined.

x≥0

the domain is all values of X that make the expression defined.

Interval Notation:

[0,∞)

Set-Builder Notation:

{x|x≥0}

The range of an even indexed radical starts at its starting point (0,5) and extends to infinity.

Interval Notation:

[5,∞)

Set-Builder Notation:

{y|y≥5}

Determine the domain and range.

Domain: [0,∞),{x|x≥0}

Range: [5,∞),{y|y≥5}

I hope this helps you. Sorry if it doesn’t!!!!

Answer:

H i think

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

HOPE THIS HELPS

Answer:

∆PQR: Equilateral Triangle

∆PRT: Scalene Triangle

∆TQS: Isosceles Triangle

∆QNP: Right Triangle

Step-by-step explanation:

∆PQR is an Equilateral Triangle because all of its angles are equal (60°).

∆PRT is a Scalene Triangle because none of its sides are equal.

The triangle above it is equilateral, and one side length is 14, meaning all of its side lengths are 14.

This makes the top of ∆PRT 14. The hypotenuse is given and it’s 18.

The last side left is clearly shorter than both, meaning none of the sides are equal.

∆TQS is an Isosceles Triangle because 2 angles are equal.

The base angles are both 76°.

∆QNP is a Right Triangle because segment QN and PR are perpendicular, creating two 90° angles on both sides.

For number 10, I suggest using a graphing calculator or desmos to graph the points. (Or you can just add the points but I suggest graphing).

From there, you can count the length of each side.

Segment DE: 9

Segment EF: 8

Segment FD: 10

This makes ∆DEF in number 10 a Scalene Triangle because none of its sides are equal.

For number 11, I also suggest graphing the points and counting the sides.

Segment DE: 7

Segment EF: 9

Segment FD: 7

This makes ∆DEF in number 11 an Isosceles Triangle because 2 of its sides are equal.

Hope this helps! :)

Answer:

The answer is 1/6

Step-by-step explanation:

This is the answer due to the fact that a dice has 6 sides meaning there is a 1 in 6 chance of rolling the different numbers

Answer:

[tex]the \: proberbility \: is \: \frac{2}{6} = \frac{1}{3} [/tex]

Answer:

Only 3 students scored between 90 and 99.

13 students earned a C

25 Students scored 70 or better on the exam.

There are 40 Students in the date.

Step-by-step explanation:

Answer:

180 minutes

Step-by-step explanation:

Answer:

Let x represent the amount of $ in the 4% account and y in the 2% account.

Then x + y = $4000 (total savings).

Interest at 4% would be  x*0.04*1 = 0.04x, and

Interest at 2% would be  y*0.02*1 = 0.02y.

Then 0.04x + 0.02y = $140 interest, total.  

We must solve this system of linear equations.

Mult. 0.04x + 0.02y = $140 by 100 to remove the fractions:

4x + 2y = $14000       We already know that x + y = $4000, so y = $4000-x.

Then  4x + 2y = $14000 becomes  4x + 2($4000-X) = $56000.

Simplifying,                                     4x + $8000 - 2x = 14000.

                                                       2x                      = $6000

                                                         x     =     $3000 at 4%

                                                         y     =      $1000 at 2%

i hope it helps :)

Step-by-step explanation:

Answer:

X+y=180, Y=Z, X+Z=180

Step-by-step explanation:

Hope this helps, i remember doing this lesson.

Answer: the two answers that contain 180

Step-by-step explanation:

Answer:

8:12

Step-by-step explanation:

Another ratio that is equivalent to 4:6 would be 8:12;

   To find another ratio equivalent to another, simply find the multiples of the numbers that make up the ratio.

  Using 2 as multiplier;

   2 ( 4 : 6) = 8 : 12

I am sure of this because when we reduce both ratio to their lowest term, we get the same value;

               4: 6                       8: 12

 divide by 2               divide by 4

               2: 3                       2 : 3

Answer:

H

Step-by-step explanation:

Answer:

x= - 8/9

Step-by-step explanation:

Answer:

2/5 are girls so 40

Step-by-step explanation:

100 divided by 5 is 20.

BOYS: 20 x 3= 60

GIRLS: 20 x 2= 40

60+40=100

Hope this helps (:

Answer:

-30

Step-by-step explanation:

10 - 30 is not possible they owe

The value of price elasticity of demand is -4.

The price elasticity of demand refers to how a particular good responds as a result of a change in the price. In this case, the price elasticity of demand is calculated as:

= Percentage change in quantity/ Percentage change in price.

Since a 10% increase in price leads to a 40% decrease in quantity demanded, the price elasticity will be:

= - 40% / 10%

= -4.

Read related link on:

https://brainly.com/question/13498928

Answer:

unfortunately I am not available for a few of these weekends and would be grateful

Answer:

d

Step-by-step explanation:

the angle measures in all equilateral triangles are the same

so divide 180 by 3 and you get 60

Answer: 60

Step-by-step explanation:  An acute triangle must have angles that added up equal 180 degrees. The angles are the same value, and 60 times the three angles gives us 180.

Answer:

Step-by-step explanation:

either the c or d

Answer:

It is A

Step-by-step explanation:

cheetahs can go to 0 to 60 mile per hou in just 3.4 seconds and reach a top speed of 70 miles per hour.while they are the fastest land animal in the world,they can only maintain thier speed for only 20 to 30 seconds

cheetah has a speed of 109.4 km/h (69.o mph) and 120.7 km/h(75.0 mph)

maximum speed is 80 to 130 km/h

Answer:

Step-by-step explanation:

Taking LCM, =48

[tex]\frac{-12}{16}[/tex]× [tex]\frac{3}{3}[/tex] + [tex]\frac{11}{12}[/tex]×[tex]\frac{4}{4}[/tex]

=[tex]\frac{-36+44}{48}[/tex]

=8/48

=1/6

Answer:

$8.00 per ticket. You would like to have a profit of at least $600.

Step-by-step explanation:

$8.00 per ticket. You would like to have a profit of at least $600.

Answer:

your friend is not correct. You need to sell 90 tickets

Step-by-step explanation:

75 tickets X 8 = 600 ( remember you need 120 extra to pay supplies cost, so you need to sell 90 tickets and the costs is $ 8 per tickets)

let's say now.

90 tickets X 8 = 720.

720- 120= 600

Answer:

2

Step-by-step explanation:

Answer:

The answer would be 1.

Answer:

They behave similarly in chemical reactions

Step-by-step explanation:

Because their atomic numbers are different, the elements each have a different number of protons and electrons. They belong to the same group, not the same period.

Answer:

$ 35.00

Step-by-step explanation:

50.00 ÷ 10 = 5.00 (10%)

5.00 x 3 = 15.00 ( 30%)

50 - 15 = 35.

Sorry I couldn't explain more, But I hope this helps!

Answer:

8,600 should be the answer.