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Karolina [17]
3 years ago
15

Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France. Danielle's unc

le sends her 2 more cards each month as he travels for business. The table below shows the relationship between the number of months Danielle has been collecting cards and the number of cards she has.
Number of Months Danielle
Has Been Collecting Cards Number of Cards in the
Collection
2 10
4 14
8 22
24 ?

How many cards can Danielle expect to have after 24 months?
A. 38
B. 48
C. 54
D. 146
Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

The correct answer is C. 54.

Step-by-step explanation:

Since Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France, and Danielle's uncle sends her 2 more cards each month as he travels for business, and the table below shows the relationship between the number of months Danielle has been collecting cards and the number of cards she has.

Number of Months Danielle

Has Been Collecting Cards Number of Cards in the

Collection

2 10

4 14

8 22

24?

To determine how many cards Danielle can expect to have after 24 months, the following calculation must be performed:

(24 x 2) + 6 = X

48 + 6 = X

54 = X

Therefore, after 24 months Danielle will have 54 cards.

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The value of a car with an initial purchase price of $18,250 depreciates by<br><br> 11% per year.
larisa [96]

Step-by-step explanation:

This problem on depreciation of price.

Given data

initial price = $18,250

rate of depreciation = 11%

to solve for the new price we must find 11 percent of the initial price (depreciated value) and subtract from the initial price, we have

depreciation=

\frac{11}{100} *18250\\0.11*18250= 2007.5

Hence the depreciation= $2007.50

the new amount is = initial amount - depreciation

=18250-2007.50\\= 16242.50

the new amount is $16242.50

5 0
3 years ago
Show that the expression (x+y)(x-y)-14x+49 may be written as the difference of two squares.
iren [92.7K]
For
(a-b)(a+b)=a^2-b^2

x^2-y^2-14x+49
x^2-14x+49-y^2
(x-7)^2-y^2
(x-7-y)(x-7+y)
or
(x-y-7)(x+y-7)
8 0
4 years ago
The area of an artist square canvas can hold 113 square square inches of paint. What is the approximate length of one side of th
Pavel [41]

Answer:

The approximate length of one side of the canvas (approximate to the nearest hundredth inch)= 10.63

Step-by-step explanation:

There are two ways to solve this problem . One is the use of the calculator and the other is the use of the fraction.

Now the square has equal sides length = breadth .

So we can simply find the length on one side by taking square root with the help of the calculator .

So when you press the symbol of square root after entering the number 113 we get the answer 10.63

Square = Length * breadth

Square = Length * length

Square = L²

One side =√ L²= L so √113= 10.63

The approximate length of one side of the canvas (approximate to the nearest hundredth inch)= 10.63

3 0
4 years ago
Identify the transformation from ABCD to A'B'C'D'. a. Reflection across the X-axis b. Translation c. Reflection across the y-axi
sashaice [31]

Answer:

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8 0
3 years ago
Read 2 more answers
Find the ratio of the volume of one sphere to the volume of the right cylinder
yarga [219]

Answer:

B


Step-by-step explanation:

<em>Let r be the radius of one sphere.</em>

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Since radius is r,  the height of the cylinder will be 4r

Also, the cylinder has the same radius as the sphere: r


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Plugging in the values we get: V=\pi (r)^{2}(4r)=4\pi r^3


<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:

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The ratio is 1:3

Answer choice B is right.

5 0
3 years ago
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