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3 years ago

Cottage cheese is being sold in different size containers. The sizes and prices are given below:

2 answers:

7 0

If the point of the assignment is to get the most amount of cheese per dollar the answer is a.

You just divide the price with the number of ounces you buy and that will give you the price per ounce.

a = 5/(4*5) = $0.25 per ounce
b = 3.24/12 = $0.27 per ounce
c = 4.19/16 = 0.261875

therefore a is the best bang for the buck

Hope this helps :)

sleet_krkn [62]3 years ago

5 0

Answer:

The 16ounce container is the better buy.

Step-by-step explanation:

To know which container has the better price, you first need to divide prices per ounces.

$a= 5/(4*5)=0.25\\b=3.24/12=0.27\\c=4.19/16=0.26$

Now you want to know which is the better buy. For that, you want to find out which one gets the most product at the lowest price.

a: you need to expend $20 to get 20oz
b: you need to expend $3.24 to get 12oz
c: you need to expend $4.19 to get 16oz

If you want to expend less to get more, the right answer is C.

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Simplify. Use the distributive property. 5(3x+1)

vlada-n [284]

Answer:

15x+5

Step-by-step explanation:

First you distribute the 5 to the 3x ( 5 times 3x=15x)

Next you distribute the 5 to the 1 (5 times 1=5)

Finally you put the two answers together 15x+1

you cant simplify it anymore because you cannot add 15x to 1

6 0

3 years ago

A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema

dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

$P_t=P_oe^{-rt}\\\\$

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

$P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329$

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

$P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz$

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0

3 years ago

Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost?

NemiM [27]

Answer:

3/4 of a foot will cost $2.25.

Step-by-step explanation:

This question is solved by rule of three, due to proportions.

One foot of lace costs 3 dollars. How much is 3/4 of a foot going to cost?

1 foot - 3 dollars

3/4 foot - x dollars

$x = 3 \times \frac{3}{4} = \frac{9}{4} = 2.25$

3/4 of a foot will cost $2.25.

7 0

2 years ago

20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by

scoundrel [369]

Answer:

Part a) $f(2)=1.57\ sec$

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) $2,165.43\ sec$

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

$f(d)=1.11\sqrt{d}$

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For $d=2\ ft$

substitute in the function above and solve for f(2)

$f(2)=1.11\sqrt{2}$

$f(2)=1.57\ sec$

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

$d=3,805,774\ ft$