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Dmitry_Shevchenko [17]
3 years ago
15

Fill in the boxes please

Mathematics
2 answers:
kifflom [539]3 years ago
8 0

Answer:

x = 12

DO = 45

OG = 45

DG = 90

Step-by-step explanation:

4x-3 = 2x+21

4x-2x = 21+3

2x = 24

x = 24/2

x = 12

DO = ( 4*12 ) - 3 = 45

OG = (2*12)+21=45

DG = 45+45=90

IRINA_888 [86]3 years ago
4 0

Answer:

x=12, DO=45O, G=45, DG=90

Step-by-step explanation:

Mid point means both lenghts are equal

4x-3=2x+21

2x=24

X=12

-----------------

1)4(12)-3=48-3=45

2)2(12)+21=24+21=45

-----------------------------

DO=45

OG=45

DG=90

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Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

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Step-by-step explanation:

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P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

P(5 or Q) = P(5) + P(Q)

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= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

= 30/52

P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

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Step-by-step explanation:

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4 0
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luda_lava [24]

Answer:

Option A is correct.

The constant of variation is, -\frac{3}{2}

Step-by-step explanation:

The Direct variation says that:

if a vary directly to b then, the equation is of the form: a = kb where k is the constant of variation.

Given: if y varies directly as x.

By definition of direct Variation:

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