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Bingel [31]
3 years ago
14

Marcel collects soccer cards. He has 24 cards in his collection. Four-sixths of his cards have been canceled. How many of the ca

rds in Marcel's collection have been canceled?
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0
24 cards × 4/6 canceled

24 × 4/6 = 96/6 = 16 canceled
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PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION
Alex17521 [72]

<u>Solution</u><u>:</u>

\sqrt{4x + 13}  = x + 2

  • First square both sides.

=  > ( \sqrt{4x + 13} ) ^{2}  = (x + 2) ^{2}

  • Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

=  > 4x + 13 =  {(x)}^{2}  + 2 \times x \times 2 + (2) ^{2} \\  =  > 4x + 13 =  {x}^{2}   + 4x + 4

  • Now, transpose 4x and 4 to LHS.

=  > 4x - 4x + 13 - 4 =  {x}^{2}  \\

  • Now, do the addition and subtraction.

=  >  {x}^{2}  = 9 \\  =  >  x =  \sqrt{9}  \\  =  > x = ±3

<u>Answer</u><u>:</u>

<u>x </u><u>=</u><u> </u><u>±</u><u> </u><u>3</u>

Hope you could understand.

If you have any query, feel free to ask.

3 0
2 years ago
A circle had a circumference of 28.26 units what is the diameter of the circle
kolezko [41]

Answer:

9

Step-by-step explanation:

3.14 divided by 28.26 = 9

8 0
3 years ago
Calculate a_57 for the sequence {a_n}={-6,-9/2,-3,-3/2,0}
Archy [21]

Answer:the 57th term is 78

Step-by-step explanation:

The sequence is an arithmetic sequence. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 6

d =3/2

n = 57

We want to determine the value if the 57th term, T57. Therefore,

T57 = - 6 + (57 - 1) ×3/2

T57 = - 6 + 56 × 3/2 = - 6 + 84

T57 = 78

3 0
3 years ago
If Earth was 10 times farther away from the Sun than it is now, which planet would it be closest to? Compare Earth's new distanc
Phoenix [80]
You need the radius of all the orbits
earth radius is 150 million km
1.  150 million x 10 = 1500 million
From the website below Saturn would be the closest at 1,429 million km
1,500,000,000 - 1,429,000,000 = 71,000,000 km = 7.1 * 10^7 km
I hope this helps :D
8 0
3 years ago
A furniture store is having a weekend sale and is offering a 20% discount on patio chairs and tables. The sales tax on furniture
dalvyx [7]
First, we subtract 20% of the amount from x, so the initial cost of the furniture should be 80% of x or 0.80x. Then, due to the sales taxs, this amount should be added with 6.25% of itself. Such that,
                                   A = 0.80x + 0.0625(0.80x)
                                       = 0.85x
4 0
3 years ago
Read 2 more answers
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