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snow_tiger [21]
3 years ago
13

Jason bought 5 new baseball trading cards to add to his new collection. The next day his dog ate half of his collection. There a

re now only 46 cards left. How many cards did Jason start with
Mathematics
1 answer:
Vladimir [108]3 years ago
7 0

Answer:

Jason originally had 87  baseball trading cards.

Step-by-step explanation:

Let the number of cards Jason originally had be, <em>x</em>.

It is provided that he bought 5 new baseball trading cards to add to his new collection.

So, the new number of cards is, <em>x </em>+ 5.

It is also provided that, his dog ate half of the cards.

Now Jason has 46 cards left.

This implies that:

\frac{1}{2} (x+5)=46

Solve the above equation of <em>x</em> as follows:

\frac{1}{2} (x+5)=46

    x+5=92\\

          x=92-5\\x=87

Thus, Jason originally had 87  baseball trading cards.

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Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
Please help its pretty easy
aleksandrvk [35]

Answer:

26/36 numbers are greater than 10

Simplify

13/18

Multiply by the chance of getting tails

13/18 x 1/2 = 13/36

13/36 your answer

26 wanted numbers / 36 amount of numbers

1 tails / 2 sides

Step-by-step explanation:

5 0
3 years ago
How many square units are in an office that is 13 units by 9 units? 22 117 121 130?
julsineya [31]
Square units are the units of measuring area. Therefore, this question asks for the area of the room.

The room has the shape of a rectangle with:
length = 13 units and width = 9 units

The are of the rectangle can be calculated using the following rule:
area of rectangle = length * width
area of the room = 13 * 9 = 117 square units
8 0
4 years ago
Let g(x)=-x^2+5x+4. Find g(p)
Alexandra [31]

g(p) = -p^2 + 5p + 4 (you just replace the dummy variable)

4 0
3 years ago
Find the diameter of the circle with a radius of 1 inch
horsena [70]

key words:

D=Diameter

R=Radius

D= 2r=2x1=2inches

so the diameter of the circle is 2 inches

hope this helps!

6 0
3 years ago
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