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snow_tiger [21]

3 years ago

6

I need someone to explain this step by step. I have a test very soon.

1 answer:

vovangra [49]3 years ago

6 0

9514 1404 393

Answer:

no
0.2a+0.4b≤2.00; 7a+3b≤30; 6a+9b≥50

Step-by-step explanation:

1. A lunch with 4A and 3B will cost ...

4($0.20) +3($0.40) = $0.80 +1.20 = $2.00

The amount of sugar in that lunch is ...

4(7 g) +3(3 g) = (28 +9) g = 37 g

The amount of protein in that lunch is ...

4(6 g) +3(9 g) = (24 +27) g = 51 g

Comparing these amounts to the goals for the lunch, we see that ...

the cost constraint of $2.00 maximum is met
the sugar constraint of 30 g maximum is not met
the protein constraint of 50 g minimum is met

A lunch consisting of 4 servings of A and 3 servings of B cannot meet all of the constraints.

__

2. Evaluating the contributions to cost, sugar, and protein in the first part has shown us how to do the second part.

0.20a +0.40b ≤ 2.00 . . . . . . . cost constraint

7a + 3b ≤ 30 . . . . . . . . . . . . . . .sugar constraint

6a + 9b ≥ 50 . . . . . . . . . . . . . . protein constraint

These are the inequalities that are wanted.

_____

<em>Additional comment</em>

The attached graph is a graph of these constraints. Solutions to all three inequalities would lie in an area where the three solution spaces overlap. This graph shows there is <em>no such area</em>. All three constraints cannot be met by any choice of foods A and B.

You might be interested in

Which expression is the factored form of −1.5w+7.5 ?

prohojiy [21]

Answer:

c.

Step-by-step explanation:

the most that can be factored out is -1.5,

-1.5 * w = -1.5w

-1.5 * -5 = 7.5

-1.5w + 7.5, so it's

-1.5(w-5)

8 0

3 years ago

What is the slope of this line?

Lynna [10]

$\frac{ - 2}{2}$

8 0

4 years ago

I need help please. <br> Solve this plz for A.

kirill [66]

Answer:

3(- 6 + m)(- 4 + m)

Step-by-step explanation:

Given

72 - 30m + 3m² ← factor out 3 from each term

= 3(24 - 10m + m²)

To factor the quadratic

Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 6 and - 4, since

- 6 × - 4 = 24 and - 6 - 4 = - 10, hence

24 - 10m + m² = (- 6 + m)(- 4 + m) and

72 - 30m + 3m² = 3(- 6 + m)(- 4 + m) ← in factored form

5 0

3 years ago

Slope of 3 y- intercept is 5

Kipish [7]

The equation would be y = 3x + 5

Hope this helps! :)

6 0

4 years ago

Five years after 650 high school seniors graduated, 400 had a college degree and 310 were married. Half of the students with a c

DedPeter [7]

Answer:

The probability that a student has a college degree or is not married is 0.8308.

Step-by-step explanation:

The information provided is:

Total number of high school seniors (<em>N</em>) = 650.

Number of seniors with a college degree (<em>n</em> (C)) = 400.

Number of seniors who were married, (<em>n</em> (M)) = 310.

Consider the Venn diagram below.

The probability of an event, say E, is the ratio of the favorable outcomes of <em>E</em> to the total number of outcomes of the experiment.

That is,

$P(E)=\frac{n(E)}{N}$

Here,

n (E) = favorable outcomes of <em>E</em>

N = total number of outcomes of the experiment.

The probability of the union of two events is:

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=\frac{n(A)+n(B)-n(A\cap B)}{N}$

Compute the probability that a student has a college degree or is not married as follows:

$P(C\cup M^{c})=\frac{n(C)+n(M^{c})-n(C\cap M^{c})}{N}$

From the Venn diagram:

n (C) = 400

n ( $M^{c}$ ) = N - n (M) = 650 - 310 = 340

n (C ∩ $M^{c}$ ) = 200

The value of P (C ∪ $M^{c}$ ) is:

$P(C\cup M^{c})=\frac{n(C)+n(M^{c})-n(C\cap M^{c})}{N}=\frac{400+340-200}{650}=0.83077\approx0.8308$

Thus, the probability that a student has a college degree or is not married is 0.8308.

6 0

3 years ago

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