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3 years ago

14

Rene has a coupon for $3.25 off a package of name brand cookies that normally costs $7.89. The store brand cookies coats $5.58.

How much will Rene save if she uses her coupon and buys the name brand cookies instead of the store brand cookies? HELP

1 answer:

allochka39001 [22]3 years ago

7 0

She would save 94 cents buying the name brand cookies

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Which of the following pairs of functions are inverses of each other?

yan [13]

The answer is c hopefully it helps

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2 years ago

A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.

noname [10]

Answer:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

Step-by-step explanation:

Given

$Volume = 128ft^3$

$L = 2W$

$Base\ Cost = \$9/ft^2$

$Sides\ Cost = \$6/ft^2$

Required

The dimension that minimizes the cost

The volume is:

$Volume = LWH$

This gives:

$128 = LWH$

Substitute $L = 2W$

$128 = 2W * WH$

$128 = 2W^2H$

Make H the subject

$H = \frac{128}{2W^2}$

$H = \frac{64}{W^2}$

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

$A = LW + 2(WH + LH)$

The cost is:

$Cost = 9 * LW + 6 * 2(WH + LH)$

$Cost = 9 * LW + 12(WH + LH)$

$Cost = 9 * LW + 12H(W + L)$

Substitute: $H = \frac{64}{W^2}$ and $L = 2W$

$Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)$

$Cost =18W^2 + \frac{768}{W^2}*3W$

$Cost =18W^2 + \frac{2304}{W}$

To minimize the cost, we differentiate

$C' =2*18W + -1 * 2304W^{-2}$

Then set to 0

$2*18W + -1 * 2304W^{-2} =0$

$36W - 2304W^{-2} =0$

Rewrite as:

$36W = 2304W^{-2}$

Divide both sides by W

$36 = 2304W^{-3}$

Rewrite as:

$36 = \frac{2304}{W^3}$

Solve for $W^3$

$W^3 = \frac{2304}{36}$

$W^3 = 64$

Take cube roots

$W = 4$

Recall that:

$L = 2W$

$L = 2 * 4$

$L = 8$

$H = \frac{64}{W^2}$

$H = \frac{64}{4^2}$

$H = \frac{64}{16}$

$H = 4$

Hence, the dimension that minimizes the cost is:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

8 0

2 years ago

A sequence can be generated ny using (look at image below)? someone please help:)

mixer [17]

Answer:

6, 24, 96, 384

Step-by-step explanation:

a₁ = 6

a₂ = 4 x a₁ = 4 x 6 = 24

a₃ = 4 x a₂ = 4 x 24 = 96

a₄ = 4 x a₃ = 4 x 96 = 384

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3 years ago

both commensalism and parasitism are relationships that benefit at least one species. which of the following describes the effec

scoundrel [369]

Answer:

C) Commensalism has no effect on the species, while parasitism has a negative effect.

Explanation:

Commensalism and parasitism are both forms of species interaction.

Commensalism:

Commensalism refers to an ecological relationship between two species where one species benefits from the other but the other is neither harmed nor benefited. For example, remoras are little fish that attach to sharks and other larger fish. Remoras benefit in terms of protection, transport and food. They feed off scraps attached to the shark's mouth and teeth. However, the shark neither benefits nor suffers from this interaction.

Parasitism:

Parasitism is a relationship between a host and a parasite where the parasite benefits at the expense of the host. the parasite attains benefits while harming the host. For example, ticks and fleas that infest dogs. The ticks attain nutrients from the host's blood and in turn, weaken and harm the host.

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2 years ago

What is standard form in slope

tatyana61 [14]

Answer:

The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers. We can convert a point slope equation into standard form by moving the variables to the left side of the equation.

Step-by-step explanation:

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3 years ago

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