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2 years ago

(-4k^4 + 14 + 3k^2) + (-3k^4 - 14k^2 -8)

Mathematics

1 answer:

tatyana61 [14]2 years ago

6 0

Answer:

look at the picture above

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An ice cream store has two new flavors: Fantasy and Ecstasy. Each barrel of Fantasy requires 4

Y_Kistochka [10]

Answer:

Fantasy: 3 barrels
Ecstasy: 1 barrel

Step-by-step explanation:

Given

Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50

Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40

In stock are 16 lb of nuts, 10 lb of chocolate

Find

amount of each to maximize profit

Solution

Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...

4x +4y ≤ 16 . . . lb of nuts

3x +y ≤ 10 . . . . lb of chocolate

We want to maximize

50x +40y

The graph shows the feasible region. Its vertices are ...

(0, 4), (3, 1), (3.33, 0)

Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.

8 0

2 years ago

Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. A girl i

jarptica [38.1K]

Answer:

Bianca's height = 42 inches

Step-by-step explanation:

Let x be the Bianca height.

Given:

Meredith height = 60 inches

We need to find the Bianca height.

Solution:

From the given statement the Meredith's height is $\frac{2}{3}$ of Bianca's height plus 32 inches, so the equation is.

Meredith's height = $\frac{2}{3}(Bianca\ height)+32$

Substitute Meredith's height in above equation.

$60=\frac{2}{3}x+32$

Now we solve the above equation for x.

$\frac{2}{3}x=60-32$

$\frac{2}{3}x=28$

By cross multiplication.

$x=\frac{3\times 28}{2}$

28 divided by 2.

$x= 3\times 14$

$x=42\ in$

Therefore, the height of the Bianca is 42 inches.

7 0

1 year ago

Select the correct answer.

slamgirl [31]

Answer:

The graphs are missing, but we can find the inequality for this problem:

She has $60.

The price of a T-shirt is $10, the price of a sweatshirt is $14.

If T is the number of T-shirts she buys, and S is the number of sweatshirts that she buys, we have:

T + S ≥ 5 (because she wants to buy at least 5 items)

T*$10 + S*$14 < $60 (because she wants to spend under $60)

Those two inequalities define the number of T-shirts and sweatshirts that she can buy.

5 0

2 years ago

Read 2 more answers

The product of five rational numbers is positive. At most, of these rational numbers can be negative

Ivanshal [37]

Answer: A. 1

Step-by-step explanation:

sorry if im wrong

5 0

2 years ago

Frank started out in his car travelling 45 mph. When Frank was 1 3 miles away, Daniel started out from the same point at 50 mph

oee [108]

Answer:

It will take 2.6 hours by Daniel to catch up with Frank.

Step-by-step explanation:

Let Daniel will catch up with Frank after t hours.

Now, Frank will go 13 miles in $\frac{13}{45} = 0.288$ hours.

So, the distance traveled by Frank in (t + 0.228) hours with 45 mph speed will be equal to the distance traveled by Daniel in t hours with 50 mph speed.

Hence, 45(t + 0.288) = 50t

⇒ 5t = 13

⇒ t = 2.6 hours.

Therefore, it will take 2.6 hours by Daniel to catch up with Frank. (Answer)

8 0

2 years ago