MATH if someone can please help that would be amazing thank you!

If 15 people eats a quarter pound of turkey how much turkey is needed to feed everyone

Novosadov [1.4K]

Four 1/4's = 1 pound

So 4 people would eat 1 pound.

15 people / 4 = 3.75 pounds of turkey is needed.

3.75 is written as 3 3/4 using fractions

Check: 3.75 / 15 = 0.25 = 1/4

4 0

4 years ago

The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in th

Step2247 [10]

Answer:

$\frac{dP}{dt} \ =\ \frac{1}{5}P$

Step-by-step explanation:

Given

Variation: Directly Proportional

Insects = 10 million when Rate = 2 million

i.e. $P = 10\ million$ when $\frac{dP}{dt} = 2\ million$

Required

Determine the differential equation for the scenario

The variation can be represented as:

$\frac{dP}{dt} \ \alpha\ P$

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

$\frac{dP}{dt} \ =\ k * P$

$\frac{dP}{dt} \ =\ kP$

Substitute values for $\frac{dP}{dt}$ and P

$2\ million = k * 10\ million$

Make k the subject

$k = \frac{2\ million}{10\ million}$

$k = \frac{2}{10}$

$k = \frac{1}{5}$

Substitute $\frac{1}{5}$ for k in $\frac{dP}{dt} \ =\ k * P$

$\frac{dP}{dt} \ =\ \frac{1}{5}* P$

$\frac{dP}{dt} \ =\ \frac{1}{5}P$

8 0

3 years ago

Will give brainliest

Nookie1986 [14]

Answer:

1___

2___

3___

Step-by-step explanation:

that's the correct answer

5 0

3 years ago

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You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla

nadezda [96]

Answer:

You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.

Step-by-step explanation:

This problem can be solved by a system of equations.

The largest profit is going to earned when all the eggs and cups of cream in stock are used.

I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.

The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 350 eggs in stock, so:

$2x + y = 350$

Each quart of Creamy Vanilla uses 3 cups of cream, as does each quart of Continental Mocha. There are 600 cups of cream in stock.

So:

$3x + 3y = 600$ Simplifying by 3.

$x + y = 200$

We have the following system

$1)2x + y = 350$

$2)x + y = 200$

I am going to multiply 2) by (-1) and then add with 1), so i can eliminate y

$1)2x + y = 350$

$2)-x - y = -200$

$2x - x + y - y = 350 - 200$

$x = 150$

$x + y = 200$

$y = 200 - 150 = 50$

You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.

3 0

4 years ago

23>x-7 what does x equal

levacccp [35]

23 - (x) - 7 > ?

First: Multiply the number -1 from your sides to get the rest result for this set

Now, flip the inequality sign because we were multiplying from the negative number
(hint: -1)

Second, we have to add 30 to get the result from this set (as Well)

x - 30 < ?

Then, x becomes a negative; keep in mind we have keep 30 as a positive

➡-x + 30.0 > ? ⬅

Finally, we get to your result

Your answer: x < 30

5 0

3 years ago

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