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Zinaida [17]
3 years ago
6

Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.

Mathematics
2 answers:
ad-work [718]3 years ago
4 0
Total cost = .42(P)
Example: 5 lbs
$2.10 = $.42(5)
Darina [25.2K]3 years ago
3 0
C(p) = 0.42p <== ur function
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A jug has 1 litre of 10% strength cordial. How much pure cordial needs to be added to make the strength 20%?
garik1379 [7]

Answer:

The volume or amount of pure cordial to be added to the solution to make the strength 20% is 125 ml

Step-by-step explanation:

The given parameters, are;

The volume of cordial in the jug = 1 litre

The percentage strength of the cordial = 10%

The proportion of the cordial that contains pure cordial = 0.1

Therefore, the volume of pure cordial in the jug = 0.1 × 1 = 0.1 × 1000 ml = 100 ml

The volume of the solvent = The volume of the solution -  The initial volume of pure cordial

∴ The volume of the solvent = 1000 ml - 100 ml = 900 ml

To increase the concentration of the cordial to 20% is given by the relation;

x/(x+900) = 0.2

Where;

x = The total volume of the pure cordial to be added to the pure solvent

Solving, gives;

x = 0.2×(x+900) = 0.2·x + 180

x -0.2·x = 180

0.8·x = 180

x = 180/0.8 = 225 ml

The total volume of the pure cordial to be added to the pure solvent = x = 225 ml

Therefore, the volume of pure cordial to be added to the initial volume of pure cordial in the solution, which is 100 ml, is therefore given as follows;

The volume or amount of pure cordial to be added = 225 ml - 100 ml = 125 ml.

The volume or amount of pure cordial to be added = 125 ml

8 0
2 years ago
What is the equation of the line is 41-3y=-24​
Natasha2012 [34]
First find y then draw it on the graph
3 0
2 years ago
Judy tosses a coin four times. Draw a tree diagram showing the possible outcomes. Select the probability of getting 2 heads
valina [46]

Answer:

d. 1/16

Step-by-step explanation:

Flipping the coin 4 times gives a total of 16 possible outcomes. Only one of those gives 2 heads followed by 2 tails. So the probability is 1/16.

Hope this helps!

8 0
3 years ago
The Apple, Inc. sales manager for the Chicago West Suburban region is disturbed about the large number of complaints her office
ankoles [38]

Answer:

0.6856

Step-by-step explanation:

\text{The missing part of the question states that we should Note: that  N(108,20) model to } \\ \\  \text{ } \text{approximate the distribution of weekly complaints).]}

Now; assuming X = no of complaints received in a week

Required:

To find P(77 < X < 120)

Using a Gaussian Normal Distribution (\mu =108, \sigma = 20)

Using Z scores:

Z = \dfrac{77-108}{20} \\\\ Z = -\dfrac{35}{20} \\ \\  Z  -1.75

As a result  X = 77 for N(108,20) is approximately equal to  to Z = -1.75 for N(0,1)

SO;

Z = \dfrac{120-108}{20} \\ \\  Z = \dfrac{12}{20}\\ \\  Z = 0.6

Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)

Now, to determine:

P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)

From the standard normal Z-table:

P(-1.75 < Z < 0.6) = 0.7257 - 0.0401

P(-1.75 < Z < 0.6) = 0.6856

3 0
2 years ago
LK is tangent to circle J at point K. What is the length of the radius? 6/25 85/12 121/36 157/12
schepotkina [342]

Answer:

85/12

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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