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Kipish [7]
3 years ago
11

Brady has a card collection with 64 basketball cards,32 football card,and 24 baseball cards.he wants to arrange the cards in equ

al piles,with only one type.how many cards can he put in each pile
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0
24 because if he wants them to be equal and he only has 24 baseball cards then they all have to be 24
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Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
2 years ago
A newly launched clothing line is rapidly increasing in popularity. Every month 20% more items of clothing are sold. If 70,800 i
prohojiy [21]

Answer:

<u>212,400 items</u> were sold in 10 months.

Step-by-step explanation:

Given:

Items sold this month = 70,800

Percent Increase in every month = 20%

We need to find number of items sold in coming 10 months.

Solution:

First we will find number of items increase in each month.

number of items increase in each month can be calculated by Percent Increase in every month multiplied by Items sold this month and the divided by 100.

number of items increase in each month = \frac{20}{100} \times 70800 = 14,160

Now we will find number of item sold in 10 months.

number of item sold in 10 months is equal to sum of Items sold this month and number of items increase in each month multiplied by 10.

framing in equation form we get;

number of item sold in 10 months = 70800+10\times 14160 = 212,400

Hence <u>212,400 items</u> were sold in 10 months.

8 0
3 years ago
NEED HELP ASAP!!!<br> 5-10 points<br><br> Number three, what is the answer?
liraira [26]
Dario went -60 feet below
6 0
3 years ago
If I get a 55.6% on a test an the test is worth 80% what is my grade on that test A,B,C,D,F
Fittoniya [83]

If you got 55.6% on a test and that test is worth 80%

So first let us calculate the actual percentage that you scored.

The actual percentage is

\begin{gathered} \frac{0.556}{0.80}=0.695 \\ 0.695\times100=69.5\% \end{gathered}

So your actual score on the test is 69.5%

The grading system varies across countries and states

The traditional grading scale is given below

90% to 100% corresponds to A grade.

80% to 89% corresponds to B grade.

70% to 79% corresponds to C grade.

60% to 69% corresponds to D grade.

0% to 59% corresponds to F grade.

69.5% can be rounded off to 70%

Therefore, 69.5% corresponds to C grade.

(note: the above grade is not valid in case your school follows a different grading scale)

6 0
1 year ago
If someone can answer this and explain it, I would really appreciate it, thanks.
daser333 [38]

Answer:

x = 13

Step-by-step explanation:

Now since the lines are parrarel, the intersection points are alternate to each other. Therefore, A = B.

Solve:

8x + 2 = 14x - 76

2 + 76 = 6x

78 = 6x

x = 13

8 0
3 years ago
Read 2 more answers
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