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icang [17]
3 years ago
13

A chemist has 100 g of a 15% saline solution that she wants to strengthen to 29%. The percentage P of salt in the solution by ma

ss can be modeled by P(x) =
100(15 + x)/
100 + x
, where x is the number of grams of salt added.

Part 1 out of 2
Select the graph of the function for 0 ≤ x ≤ 100.

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

D., x= 19.7 or ≈20. g

Step-by-step explanation:

P(x) = [100(15+x)]/(100+x)

When 0 g additional salt is added, x=0. we have

P(0) = [100(15+0)]/(100+0)= 15

x=0, P=15

We can see this point only on the graph D.

P(x) =29 = [100(15+x)]/(100+x)

29 = [100(15+x)]/(100+x)

29(100+x) = 100(15+x)

2900+29x = 1500+100x

2900-1500=100x-29x

1400 = 71x

x ≈ 19.7 g  or ≈20. g

From the graph D, we can see that to get 29% we need to add ≈ 20 g of salt.

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Jlenok [28]

Answer:

The amount of yarn changes at 0.5 yards per hour.

Step-by-step explanation:

Since Kendra knits hats, and she starts with 3 3/4 yards of yarn, but after knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left, to determine at what rate does the amount of yarn change the following calculation must be performed:

3/4 = 0.75

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3 years ago
5.
Anna71 [15]

Answer:

91

Step-by-step explanation:

P(1) = 0.25

P(3) = 2P(2) = 3P(4)

P(5) = P(4) + 0.1 = P(6) − 0.1

The probabilities add up to 1:

1 = P(1) + P(2) + P(3) + P(4) + P(5) + P(6)

Write each probability in terms of P(4).

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1 = 0.55 + 7.5P(4)

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The expected value is the number of trials times the probability.

E = 350 × 0.26

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3 years ago
translate this sentence into an equation. the product of janelles saving and 3 is 54 . use the variable j to represent janelles
gladu [14]
J+3=54
Janelles savings plus 3 is 54 ?
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4 years ago
How can you check the answer to a decimal multiplication problem
Oksi-84 [34.3K]
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Answer:

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Step-by-step explanation:

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3 years ago
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