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spin [16.1K]
2 years ago
15

2 and 1/4 - 3/4 simplest form

Mathematics
1 answer:
Anna007 [38]2 years ago
4 0

2 and 1/4 is 9/4

9/4 - 3/4 = 6/4

6/4 = 1 and 1/2

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PetSmart.com sold the following varieties of dog food in June 2003.
aivan3 [116]

Let x  be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He  wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

  • in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
  • in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
  • in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
  • in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.

Then 4x+4.725y+7.5z=66.

You get a system

\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.

From the first equation z=10-\dfrac{2}{3}x-\dfrac{7}{12}y. Substitute it into the second equation:

4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.

Simplify it:

-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.

y must be divided by 20, then

  • y=0, x=9, z=10-6=4;
  • y=20, x=16, z is not a whole number;
  • y=40, x=23,  z is not a whole number;
  • y=60, x=30, z=10-20-35<0;
  • thus, all other possible z will be <0.

Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.

5 0
3 years ago
What is the distance between (5,10) and (5,2)?
Licemer1 [7]
The distance is 8, since the x co-ordinate stays 5, the y co-ordinate goes from 10 to 2, which is an 8 distance
5 0
3 years ago
Please answer ASAP! All help is deeply appreciated! Stay safe!
NNADVOKAT [17]

Answer:

C. 150

Step-by-step explanation:

60+150+120+270=600

600/4=150

5 0
3 years ago
Join this question also on my profile https://brainly.com/question/23407814
ddd [48]

Answer:

ok i will

Step-by-step explanation:

8 0
2 years ago
Evaluate the function f(x) at the given numbers (correct to six decimal places).
3241004551 [841]

Answer:

The function f(x) = \frac{x^{2}-4\cdot x}{x^{2}-16} has the following set of solutions:

f(4.1) = 0.506173, f(4.05) = 0.503106, f(4.01) = 0.500624, f(4.001) = 0.500062, f(4.0001) = 0.500006, f(4.0001) = 0.500006

f(3.9) = 0.493671, f(3.95) = 0.496855, f(3.99) = 0.499374, f(3.999) = 0.499937, f(3.9999) = 0.499994

Step-by-step explanation:

Let be f(x) = \frac{x^{2}-4\cdot x}{x^{2}-16}, we proceed to simplify the expression by Algebraic means:

1) \frac{x^{2}-4\cdot x}{x^{2}-16} Given

2) \frac{x\cdot (x-4)}{(x-4)\cdot (x+4)} Associative, commutative and distributive properties/a^{2}-b^{2} = (a+b)\cdot (a - b)

3) \frac{x}{x + 4} Commutative, associative and modulative properties/Existence of multiplicative inverse/Result

Now we evaluate the function for each value:

x = 4.1

f(4.1) = \frac{4.1}{4.1+4}

f(4.1) = 0.506173

x = 4.05

f(4.05)  = \frac{4.05}{4.05 + 4}

f(4.05) = 0.503106

x = 4.01

f(4.01) = \frac{4.01}{4.01 + 4}

f(4.01) = 0.500624

x = 4.001

f(4.001) = \frac{4.001}{4.001+4}

f(4.001) = 0.500062

x = 4.0001

f(4.0001) = \frac{4.0001}{4.0001 + 4}

f(4.0001) = 0.500006

x = 3.9

f(3.9) = \frac{3.9}{3.9+4}

f(3.9) = 0.493671

x = 3.95

f(3.95) = \frac{3.95}{3.95+4}

f(3.95) = 0.496855

x = 3.99

f(3.99) = \frac{3.99}{3.99+4}

f(3.99) = 0.499374

x = 3.999

f(3.999) = \frac{3.999}{3.999 + 4}

f(3.999) = 0.499937

x = 3.9999

f(3.9999) = \frac{3.9999}{3.9999 + 4}

f(3.9999) = 0.499994

4 0
2 years ago
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