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natka813 [3]
3 years ago
12

A delivery company charges a flat rate of $3 for a large envelope plus an additional $0.25 per ounce for every ounce over a poun

d the package weighs. The postage for the package is $5.50. How much does the package weigh? (Hint: remember the first pound is included in the S3.)​
Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

1 pound 10 ounces

Step-by-step explanation:

5.50-3.00=2.50

2.50/0.25=10

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Find x using the Law of Cosines. Round to the nearest tenth.
Bad White [126]
The Answer for "X" is going to be  25.63201, rounded to the nearest tenth would be 25.6.
 

I hope this helped :)
 
5 0
3 years ago
7. Jerry has 23 coins in nickels, n, and dimes, d. He
aliya0001 [1]

Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

d = 11

Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

0.05n + 0.10d = 1.95

(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

7 0
2 years ago
HELPPPPPPPPPPPPPPPPPPPPP
77julia77 [94]

Answer:

ill guess -2 for u

Step-by-step explanation:

5 0
2 years ago
A submarine is searching for underwater features. It is accompanied by a small aircraft
Ivanshal [37]

Answer:

255 m

Step-by-step explanation:

From the given question, the surface of the water body is the reference point. And this point is assumed to be 0, so that any distance above it is positive, and any distance below is negative. This is synonymous to the number line system.

Thus,

For the aircraft, its height = +200 m

For the submarine, its depth = -55 m

So that the difference between the submarine and aircraft can be determined as;

200 - (-55)

= 200 + 55

= 255 m

The distance between the submarine and aircraft is 255 m.

7 0
2 years ago
(3 marks) A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year. The battery live
Ksenya-84 [330]

Answer:

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year

This means that \mu = 3, \sigma = 0.5

What is the probability that a given battery will last between 2.3 and 3.6 years?

This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So

X = 3.6

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.6 - 3}{0.5}

Z = 1.2

Z = 1.2 has a p-value of 0.8849

X = 2.3

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.3 - 3}{0.5}

Z = -1.4

Z = -1.4 has a p-value of 0.0808

0.8849 - 0.0808 = 0.8041

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

4 0
2 years ago
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