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TEA [102]
3 years ago
6

There 64 cards in a pack. Each card is white red or black. The ratio of the number of red cards to the number of black cards is

1:1. 8 red cards are removed from the pack. Find the ratio of the number of red cards now in the pack to the number of black cards now in the pack. Give your answer in its simplest form
Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0
3:4
32:32 to begin with 
24:32, which can be simplified by dividing both sides by 8. 

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GREYUIT [131]

1 cup = 0.5 pints

3 x 0.5 = 1.5 pints = 1 1/2 pints

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3 years ago
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85
insens350 [35]
First, "boxes of two sizes" means we can assign variables:   Let x = number of large boxes        y = number of small boxes   "There are 115 boxes in all"    means    x + y = 115      [eq1] Now, the pounds for each kind of box is:     (pounds per box)*(number of boxes) So,   pounds for large boxes     +    pounds for small boxes      =    4125 pounds                  "the truck is carrying a total of 4125 pounds in boxes"          (50)*(x)                   +              (25)*(y)                  = 4125    [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2.  Let's solve for x:    x = 115 - y          [from eq1]      50(115-y) + 25y = 4125             [from eq2]      5750 - 50y  + 25y = 4125           [distribute]      5750 - 25y = 4125       -25y = -1625          y = 65             [divide both sides by (-25)]   There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x:   x = 115 - y   x = 115 - 65   x = 50    There are 50 large boxes.
3 0
2 years ago
Can someone tell me what the volume is? It is question #1
tia_tia [17]
The answer would be 19.6

8 0
3 years ago
Read 2 more answers
Given a 5 liter jar and a 3 liter jar and a unlimited supply of water, how do you measure out 4 liter exactly
andre [41]

Answer:

Given:

5 liter Jar

3 liter jar

Unlimited supply of water.

To measure out 4 liters exactly.

Steps to be carries out to measure out 4 liters of water exactly.

Water content: 3 liter jar = Empty , 5 liter jar = Empty

1) Fill the 3 liter jar completely with water.

3 liter jar = 3 liter , 5 liter jar = Empty

2) Empty the filled 3 liter jar of water by pouring it out into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 3 liter

3) Again fill the empty 3 liter jar completely.

Water content: 3 liter jar = 3 liter , 5 liter jar = 3 liter

4) Pour water from 3 liter jar into 5 liter jar until it is completely filled.

Water content: 3 liter jar = 1 liter , 5 liter jar = 5 liter

5)  Empty the 5 liter jar completely.

Water content: 3 liter jar = 1 liter , 5 liter jar = Empty

6) Empty the 3 liter jar by pouring the water into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 1 liter

7) Fill the 3 liter jar completely with water.

Water content: 3 liter jar = 3 liter , 5 liter jar = 1 liter

8) Empty the 3 liter jar by pouring it into 5 liter jar.

Water content: 3 liter jar = Empty , 5 liter jar = 4 liter

Now, we have exactly 4 liters of water in the 5 liter jar.

7 0
3 years ago
Which of the following expressions illustrates the commutative property of addition? 3 + (-7) = (-7) + 3 -4(5) = 5(-4) 4 + (1 +
umka2103 [35]
By definition, we have to:

 In mathematics, the commutative property or commutativity is a fundamental property that has some operations according to which the result of operating two elements does not depend on the order in which they are taken.

 This is fulfilled in ordinary addition and multiplication: the order of the addends does not alter the sum, or the order of the factors does not alter the product.

 We have then, that the commutative property of the addition is:
 3 + (-7) = (-7) + 3

 Answer:
 
An expression that illustrates the commutative property of addition is:
 
3 + (-7) = (-7) + 3
4 0
3 years ago
Read 2 more answers
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