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vaieri
12 days ago
9

Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. Hi

s total annual cost is a function of the number of books, b, that he purchases in a year: C(b) = 2.75b + 10 Which statements are true about the variables in the yearly cost function? Check all that apply. The number of books purchased is the independent variable. The input is the yearly cost. The total yearly cost depends on the number of books purchased. The number of books purchased is determined by the yearly cost. The output is the yearly cost.
Mathematics
1 answer:
Svet_ta [9.4K]12 days ago
5 0
A) The independent variable in this scenario is the quantity of books purchased. C) The overall cost for the year hinges on the number of books obtained. E) The output of this function is the total yearly cost.
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Write the number with the same value as 28 tens
zzz [9066]

It is understood that

One tens corresponds to the number -----------> 10

thus

28 tens translates to

28*10=280

hence

the result is

280


3 0
1 month ago
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Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)
AnnZ [9071]

Answer:

The price amounts to $9.70 per kilogram.

Step-by-step explanation:

This can be resolved using the rule of three.

In a rule of three scenario, the first step involves determining how the values are related, whether directly or inversely.

A direct relationship implies that when one measure increases, the corresponding measure also increases. In this case, cross multiplication serves as the method for the rule of three.

Alternatively, an inverse relationship indicates that an increase in one measurement causes a decrease in the other. In this scenario, line multiplication applies.

Here, the relationship is between the weight of the cheese and its cost. As the weight rises, so does the expense, representing a direct proportion.

Solution:

According to the problem, cheese is priced at $4.40 per pound. Given that each kg equals 2.2 pounds, we can deduce how many kg correspond to one pound.

1 pound - x kg

2.2 pounds - 1 kg

2.2x = 1

x = \frac{1}{2.2}

x = 0.45 kg

Given that cheese costs $4.40 for a pound, and there are 0.45 kg in one pound, we calculate the cost for 1 kg.

$4.40 - 0.45 kg

$x - 1 kg

0.45x = 4.40

x = \frac{4.40}{0.45}

x = 9.70

The price is $9.70 per kilogram.

6 0
21 day ago
A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits insid
AnnZ [9071]

Response:

8.86cm^2

Detailed breakdown:

Considering a rectangle measuring 3cm by 4cm with a circle of 1 cm diameter within it:

The area of the shaded section equals Area of Rectangle minus Area of Circle

The area of a rectangle is calculated as Length multiplied by Width

=3 X 4 =12cm^2

The area of the circle is \pi r^2=\pi X 1^1=3.142cm^2

Area of shaded region = 12 - 3.142

=8.86cm^2



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X = 28

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225 goes to the bakery
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