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Vlad1618 [11]
3 years ago
14

3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than

Mathematics
1 answer:
IRISSAK [1]3 years ago
5 0

Answer:

Sophie has 12.5 cards

Step-by-step explanation:

Let

x -----> number of cards Sophie has

y -----> number of cards Jackie has

we know that

x+y=30 -----> equation A  

y=x+5 -----> equation B

Solve by substitution

Substitute equation B in equation A and solve for x

x+(x+5)=30

2x=30-5

x=12.5 cards

Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number

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Answer:

Given a line and a point not on it, no lines parallel to the given line can be drawn through the point. you get an elliptic geometry.

Step-by-step explanation:

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What is the value of n in 2x3xnxn=54
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54/(2X3)=54 divided by 6, =9 square root of 9 is 3

n=3
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Find the value of x that make it true
lesantik [10]

Answer:

Step-by-step explanation:

1). 10 = \frac{1+7x}{7+x}

   10(7 + x) = 1 + 7x

   70 + 10x = 7x + 1

   10x - 7x = 1 - 70

   3x = -69

   x = -23

2). 0.2 = \frac{6+2x}{12+x}

    0.2(12 + x) = 6 + 2x

    2.4 + 0.2x = 6 + 2x

    2.4 - 6 = 2x - 0.2x

    1.8x = -3.6

    x = -2

3). 0.8 = \frac{x}{x+0.5}

    0.8(x + 0.5) = x

    0.8x + 0.4 = x

    x - 0.8x = 0.4

    0.2x = 0.4

    x = 2

4). 3.5 = \frac{4+2x}{0.5-x}

    3.5(0.5 - x) = 4 + 2x

    1.75 - 3.5x = 4 + 2x

    -3.5x - 2x = 4 - 1.75

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6 0
3 years ago
A wallet contains $460 in $5, $10, and $20 bills. The number of $5 bills exceeds twice the number of $10 bills by 4, and the num
Butoxors [25]

Answer:

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

Step-by-step explanation:

Let x number of $5, y number of $10 and z number of $20

The number of $5 bills exceeds twice the number of $10 bills by 4.

Therefore, x = 2y + 4

The number of $20 bills is 6 fewer than the number of $10 bills.

Therefore, z = y - 6

A wallet contains $460 in $5, $10, and $20 bills.

Therefore,

5x + 10y + 20z = 460

Substitute x and y into equation

    5(2y+4) + 10y + 20(y-6) = 460

10y + 20 + 10y + 20y - 120 = 460

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                                    40y = 460 + 100

                                    40y = 560

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  • Put the value of y into x = 2y + 4 and solve for x

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                                      z = 14 - 6

                                      z = 8

Hence, the each type of bills,

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

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Answer:

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Step-by-step explanation:

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