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melisa1 [442]
3 years ago
8

Paul traded 13 baseball card to Dan for 4 new packs of 6 cards each. Paul lost 3 cards. He now has 75 cards. How many cards did

Paul have to begin with?
Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

The number of cards Paul had at the beginning was 64 cards

Step-by-step explanation:

Here we have a word problem as follows

Paul traded 13 baseball card to Dan for 4 new packs of 6 card each

Number of cards received from Dan = 6 × 4 = 24

Number of cards traded to Dan = 13

Net number of cards traded = 24 - 13 = 11

Total number of cards Paul now has = 75 cards

Therefore since Paul gained 11 cards to make his total number of cards = 75, then;

The initial amount of cards Paul had = 75 - 11 = 64 cards.

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Jane cuts a foam block along the red line. When she looks at the newly
mr_godi [17]

Answer:

B. A rectangle, 4 in by 3 in

Step-by-step explanation:

The foam has the shape of a cuboid with base of 10 in by 4 in and height of 3 in.

The foam has a front elevation of a rectangle with dimension of 4 in by 3 in. It has a left elevation of dimension 10 in by 3 in and a plan of dimension 10 in by 4 in.

If the foam is cut along the red line, the exposed face would be the same as the shape of the front elevation. Hence the shape of the cross section would be a rectangle with dimension of 4 in by 3 in.

8 0
3 years ago
Under the last-in, first-out (LIFO) inventory valuation method, a price index for inventory must be established for tax purposes
frosja888 [35]

Answer:

The laspeyres method of weighted aggregate price index is used of LIFO inventory valuation, therefore laspeyres index number is 106.08

Step-by-step explanation:

First of all we would have to perform the following table:

                                             

Product   Ending Inventory(Q0)  Begining(P0)   Ending(P1)   P0×Q0   P1×Q0  

    A                    500                         0.15               0.21                75        105

    B                       50                         1.60               1.80                 80         90

    C                       100                        4.50             4.20                 450      420

    D                       40                          12.00          13.40                 480     536

                                                                                             Total  1085     1151

Therefore, using laspeyres index number, we calculate the following:

laspeyres index number=(∑P1×Q0/∑P0×Q0)×100

laspeyres index number=(1151/1085)×100

laspeyres index number=106.08

8 0
4 years ago
3(x-5)=2(x-10)<br> Solce for X
stira [4]

Answer: X = -5

Step-by-step explanation:

3(x-5)=2(x-10)

3x - 15 = 2x -20

3x = 2x -5

x = -5

8 0
3 years ago
Read 2 more answers
Which of these is a speed?
miskamm [114]

Answer:

50 miles per hour

Step-by-step explanation:

First one is a distance

Second one is time

Last one doesn't make sense

8 0
4 years ago
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Indicate in standard form the equation of the line passing through the given points G (4,6) H (1,5)
Delicious77 [7]

First, find the slope (m) = \frac{y2 - y1}{x2 - x1} = \frac{5 - 6}{1 - 4} = \frac{-1}{-3} = \frac{1}{3}

Now plug in ONE of the points and the slope into the point-slope equation:

y - y₁ = m(x - x₁); where (x₁, y₁) is the chosen point.

y - 5 = \frac{1}{3}(x - 1) (I used (1,5) as the chosen point)

3(y - 5) = x - 1

3y - 15 = x - 1

3y -14 = x

-14 = x - 3y → x - 3y = -14

Answer: x - 3y = -14

4 0
4 years ago
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