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Alex787 [66]
3 years ago
11

Suppose c and d vary inversely, and d = 2 when c = 17.

Mathematics
1 answer:
balu736 [363]3 years ago
5 0

Answer:

c = 34/d

d = 1/2

Step-by-step explanation:

Part A

Basic Formula

c = k/d

17 = k/2         Multiply both sides by 2

17*2 = k*2/2     Combine

34 = k

So the equation is c = 34/d

Part B

c = 68

k = 34

d = ?

68 = 34/d               Multiply both sides by d

68*d = 34 * d/d      Simplify.

68 d = 34                Divide by 68

d = 34/68                Simplify

d = 1/2

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A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side an
allochka39001 [22]

Answer:

Step-by-step explanation:

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Given that:

Number of cards = 4

x = Black on both sides = 1

y = Red on both sides = 1

z = Black on one side, red on one side = 2

.i) If the side you see is black, what is the probability that the other side is black = b

Probability of black

P(x) = 1/4 ; p(b|x) = 1

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8 0
3 years ago
PLEASE SHOW WORK ASAP
Ludmilka [50]
4/d = 2/6
4*6= 2*d
24=2d
d=12

(r-3)/10=r/13
13(r-3)=10r
13r-39=10r
3r=39
r=13
5 0
4 years ago
Lara bought 3 yards of fabric and a spool of thread for $28.10. If the spool of thread cost $1.25, how much did the fabric cost
Lyrx [107]

Answer: $8.95 per yard of fabric

Step-by-step explanation:

Define the following:

x = cost of fabric per yard

Make an equation:

⇒ 3x + 1.25 = 28.10

⇒ 3x = 26.85

⇒ x = 8.95

∴ $8.95 per yard of fabric

7 0
2 years ago
-6(-4x + 3) = 2(10x + 3)
Naya [18.7K]

Answer:

x = -6/11

Step-by-step explanation:

-6(-4x + 3) = 2(10x + 3)

-6 * -4x = -24x

-6 * 3 = -18

2 * 10x = 20x

2 * 3 = 6

-24x - 18 = 20x + 6

-20x           -20x

-44x - 18 = 6

+18           +18

-44x = 24

-------   ------

 -44      -44

24/-44 = -24/44

-24/44 = -6/22

x = -6/11

8 0
3 years ago
What number should be placed in the box to help complete the division calculation?
Katarina [22]

Answer:

180

Step-by-step explanation:

its 180 cos its the closest number to 193 that 18 can go in, your overall answer to the equation is 310 remainder 13. But I dont know if u need that..

5 0
3 years ago
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