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2 years ago

Ms. Metzger is cooking chicken tacos for dinner. She is using the

Mathematics

1 answer:

netineya [11]2 years ago

6 0

The amount of cheese she will use if she uses 4 pounds of chicken is; A: 0.3 cups

How to solve proportions?

We are told that the proportion that she is using is;

¹/₄ cup of cheese per 3 lbs of chicken

Now, we want to find the number of cups of cheese per 4 lbs of chicken

Thus;

If ¹/₄ cup of cheese is used per 3 lbs of chicken, then it means that;

Number of cups of cheese for 4 lbs of chicken = (4 * ¹/₄)/3

Number of cups of cheese for 4 lbs of chicken = 1/3 = 0.3 cups

Thus, we conclude that the amount of cheese she will use if she uses 4 pounds of chicken is; A: 0.3 cups

Read more about proportions at; brainly.com/question/1781657

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jane can do a job in 3 hours, while gary can do the same job in 2 hours. if jane works alone for an hour before gary helps her h

Rudiy27

Answer: 2hrs?

Step-by-step explanation: 3-2=1+1 hour she took alone = 2hrs

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2 years ago

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You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the larg

katovenus [111]

Problema Solution

You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?

Answer provided by our tutors

Make a drawing and denote:

x = half of the length of the enclosure

2x = the length of the enclosure

y = the width of the enclosure

P = 800 ft the perimeter

The perimeter of the two enclosures can be expressed P = 4x + 2y thus

4x + 3y = 800

Solving for y:

........

click here to see all the equation solution steps

........

y = 800/3 - 4x/3

The area of the two enclosure is A = 2xy.

Substituting y = 800/3 - 4x/3 in A = 2xy we get

A = 2x(800/3 - 4x/3)

A =1600x/3 - 8x^2/3

We need to find the x for which the parabolic function A = (- 8/3)x^2 + (1600/3)x has maximum:

x max = -b/2a, a = (-8/3), b = 1600/3

x max = (-1600/3)/(2*(-8/3))

x max = 100 ft

y = 800/3 - 4*100/3

y = 133.33 ft

2x = 2*100

2x = 200 ft

3 0

3 years ago

(2x−12)+( 1 2 xy−10) (2x-12)+(12xy-10) for x=8 x=8 and y=2

Ratling [72]

(2(8)-12)+(12(8)(2)-10)
(16-12)+(132-10)
4+122=126
THE ANSWER WOULD BE 126 :D

5 0

3 years ago

The vertices of triangle ABC are A(5,2), B(-1,-6) and C(1,5). If Triangle DEF is similar to Triangle ABC and AB/DE=5, what could

astraxan [27]

Answer:

D(-5,3) and E(-5,1)

Step-by-step explanation:

|AB|² = (-1-5)² + (-6-2)²

|AB|² = 36 + 64

|AB|² = 100

|AB| = 10

AB/DE = 5

|DE| = 10/5 = 2

D(-5,3) and E(-5,1)

|DE|² = (-5+5)² + (3-1)²

|DE|² = 4

|DE| = 2

Verified

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3 years ago

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Morgarella [4.7K]

$\text{mass of freight train} = 9.98 \times {10}^{6} kg$

$\text{mass of aircraft carrier} = 7.3 \times {10}^{7} \: kg$

$\text{difference of masses of aircraft and train: } \\ \\ 7.3 \times {10}^{7} - 9.98 \times {10}^{6} \\ \\ = 73 \times {10}^{6} - 9.98 \times {10}^{6}$

$= (73 - 9.98 )\times {10}^{6} \\ \\ = 63.02 \times {10}^{6} \\ \\ = 6.302 \times {10}^{6} \: kg \\ \\ \approx 6.3 \times {10}^{6} \: kg$

Approximately, aircraft carrier is 6.3 × 10^6 kg heavier than the freight train.

7 0

2 years ago