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3 years ago

3-Read Activity

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

Answer:

<h2>Bibi ate 6.3 pounds of food, approximately.</h2><h2>Rexy ate 5.7 pounds of food, approximately.</h2>

Step-by-step explanation:

1. What is this situation about?

The situation described is about the amount of food those dogs eat, and its relation with their weights.

2. What are the quantities in this situation?

The quantities are aboth the weight of each dog, and the number of pounds of dog food.

3. What mathematical questions could we ask?

We could ask the pounds of food each dog eats, in proportion with their weights.

4. Answer the question.

To answer that question, we just need to form a proportion.

$\frac{8}{10.5}=\frac{12-x}{x}$

Where $12-x$ is the total pounts Rexy ate, and $x$ is the total pounts Bibi ate.

$8x=126-10.5x\\8x+10.5x=116\\18.5x=116\\x=\frac{116}{18.5} \approx 6.3$

Therefore, Bibi ate 6.3 pounds of food, approximately.

Then, $12-x = 12-6.3 = 5.7$

Which means, Rexy ate 5.7 pounds of food, approximately.

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3 years ago

Solve 3x2 = −12x − 15.<br><br> x = −4 ± 2i<br> x = −4 ± i<br> x = −2 ± 2i<br> x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

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$x = - 2 \pm \sqrt{ - 1}$

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3 years ago

A patrolman spends three times as many hours patrolling as she does completing paper work. If she works 36 hours per week, how m

fomenos

Answer:

27 hours

Step-by-step explanation:

Let her work "x" hours for paperwork

Since, patrolling amount of hours is THREE TIMES that,

Patrolling = 3x hours

Total Hours = 36

That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:

x + 3x = 36

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x = 9 hours

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Answer:

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Step-by-step explanation:

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3 years ago

Christopher works at the power plant for the southwest part of his home state. For peak operational performance, his department

Licemer1 [7]

Answer:

B) To maintain peak performance for every 50 generators, there are 10 inspectors.

Step-by-step explanation:

For peak operational:

3 electricians for each generator. ⇒ 1 Generator : 3 Electricians

4 inspectors for every 60 electricians. ⇒ 60 Electricians : 4 Inspectors

Now, the number of generators the state has now = 50

Let us assume the number of inspectors required by the power plant = m

Now, from the given ratios:

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Also, for 60 Electrician there are 4 inspectors. (2)

⇒From (1) and (2), we get:

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