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2 years ago

Which is the best buy?

1 answer:

8 0

3 bottles of juice
6.72/3 = $2.24 < amount paid for each bottle

11 bottles of juice
24.86/11 = $2.26 <amount paid for each bottle

9 bottles of juice
20.25/9 = $2.25 < amount paid for each bottle

16 bottles of juice
35.68/16 = $2.23 < amount paid for each bottle

*the best buy would be to get 16 bottles for $35.68*

10 bars of soap
23.20/10 = $2.32 < amount for each bar of soap

16 bars of soap
36.48/16 = $2.28 < amount for each bar of soap

13 bars of soap
29.51/13 = $2.27 < amount paid for each bar of soap

12 bars of soap
27.60/12 = $2.30 < amount for each bar of soap

*the best buy would be to get 13 bars of soap for $29.51*

hope this helps :)

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

Need help on maths question asap

Zigmanuir [339]

Answer:

276

Step-by-step explanation:

1 - 1/3 - 5/12 = 1/4

1/4 is the fraction of the vegetarian guests

1 is the total number of guests

so you multiply 69 by 4 and 276 is your answer

let me know it it is correct :)

4 0

2 years ago

- Which of the following expressions has a coefficient of 10 and a constant of 5?

maw [93]

Answer:

Either 10+5 or 10-5

Step-by-step explanation:

Coefficient- the number that is multiplied by the variable

Constant- a number that stays the same and is not changed no matter what x or y equals.

6 0

1 year ago

Identical sweaters are on sale in two different stores. The sale price in store A is 30% off the regular price of $25. The sale

bekas [8.4K]

30% off 25: multiply 25 by .30 to find 30%: 7.5. Now subtract that from the sales price: 25-7.5=17.5
Do the same for store B: .40•30=12. 30-12=18.
So store A is better by $.50 :) hope this helps :)

7 0

2 years ago

Read 2 more answers

Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function

hammer [34]

Answer: Its a function

Step-by-step explanation:

6 0

2 years ago