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SOVA2 [1]
2 years ago
13

Jerry makes $40,000 a year working at a nearby factory. He gets two weeks paid vacation per year, plus five other paid holidays.

He wants to figure out his per-diem (daily) pay, so he divides 40,000 by 365, which yields $109.59. Is this the correct answer?
Mathematics
2 answers:
Delicious77 [7]2 years ago
5 0
No because 40,000 doesn't include the paid vacations and holidays. the 40,000 is likely the working salary
JulijaS [17]2 years ago
4 0

Answer:

Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.

Step-by-step explanation:

Given is :

Jerry makes $40,000 a year working at a nearby factory.

He gets two weeks paid vacation per year, plus five other paid holidays.

So total paid holidays become = 14+5=19 days

Subtracting 19 from 365 days and assuming that Jerry works for 365 days a year.

We get = 365-19=346 days

So, his per day salary will be = \frac{40000}{346}= 115.60

Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.

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5400 J of energy is supplied to 3 kg of aluminum, by how much
solmaris [256]

Answer:

20°C

Step-by-step explanation:

Quantity if heat energy supplied is expressed as;

Q = mcΔt

m is the mass = 3kg

Δt is the temperature rise

Q = 5400J

c = 900 J/kg °C

Substitute

5400 = 3(90)Δt

5400 = 270Δt

Δt = 5400/270

Δt = 20°C

Hence the temperature rise is 20°C

3 0
2 years ago
A frequency distribution is a tabular summary of data showing the a. number of items in several classes. b. relative percentage
Viefleur [7K]

Answer:

The answer is a: Number of items in several classes.

Step-by-step explanation:

Frequency distributions are tables that represent the number of times a specific data, number object etc appears in a sample. So for example if we have this data

2,2,4,4,6,6,6,8,8,10

The frequency distributions is

Number   frequency

2                  2

4                  2

6                  3

8                   2

10                  1

The other options are identical (c and are the same as percentages can be expressed as fractions. Relative percentages or fractions are  tables that express the weight that each category has in the entire data. An example for our data would be: (10 are the total number of obs)

Number             Fraction/%

2                          2/10 or 20%

4                         2/10 or 20%

6                          3/10 or 30%

8                           2/10 or 20%

10                            1/10 or 10%

6 0
2 years ago
Jake's morning run was a distance of 9.3 miles. He ran back and forth on one long straight street. He started at his house and r
Sergeeva-Olga [200]

Answer: the distances can be 0.65 miles (in the opposite direction to the school) or 4.65 miles (in the same direction as the school)

Step-by-step explanation:

Ok, the data that we have is:

Total distance = 9.3 mi.

The travel is:

House to school = 4 mi.

school to library = A

library to house = B

Now, we have that:

4mi + A + B = 9.3mi.

We have three possibilities:

1) The order of locations is: house, library, school

The travel from: school to library + library to house is equivalent to a travel between the school to the house = 4mi.

Then we have A + B = 4mi

4mi + A + B = 8mi ≠ 9.3mi

Then the library can not be between the house and the school.

2) The order of locations is: house, school, library.

In this case we have that the distance between the library and the house is equal to the distance between the house and the school plus the distance between the school and the library, then:

4mi + A = B.

We can replace this in our original equation:

4mi + A + B = 9.3mi

4mi  + A + (4mi + A) = 9.3mi

8mi + 2*A = 9.3mi

2*A = 9.3mi - 8mi = 1.3mi

A = 1.3mi/2 = 0.65mi

Then the distance between the house and the library is:

The 4 miles between the house and the school, plus the 0.65 miles between the school and the library:

Distance = 4mi + 0.65mi. = 4,65mi

3) The third case is when the order of the locations is:

Library, house, school.

Then the distance between the house and the library is equal to the distance between the school and the library minus the distance between the house and the school, this is:

A - 4mi = B

Now we can replace this in our distance equation:

4mi + A + B = 9.3mi

4mi + A + (A - 4mi) = 9.3 mi

2A = 9.3mi

A = 9.3mi/2 = 4.65mi

Then the distance between the house and the library is:

B = A - 4mi = 4.65mi - A = 0.65mi

Then the distance between the house and the library is 0.65 miles in this case.

7 0
2 years ago
On Tuesday morning, the temperature is -5º F. The temperature rises 3 4 degree each hour for 6 hours before dropping 1 4 degree
Mice21 [21]

Answer:

The temperature in degrees after 9 hours is -1.25 degrees Fahrenheit

Step-by-step explanation:

Here, we want to know the temperature after 9 hours

Per hour rise each hour is 3/4 degree = 0.75 degree

In 6 hours that will be 0.75 * 6 = 4.5 degrees

Or hour drop is 1/4 = 0.25 degree

In 3 hours, that will be 0.25 * 3 = 0.75 degree

Since it is a drop, we have -0.75 degree

Temperature after 9 hours will be;

-5 + 4.5 -0.75

= -5.75 + 4.5 = -1.25 degrees fahrenheit

8 0
2 years ago
Diagonal cross-section of a sphere produces which two dimensional shape
Leni [432]
Every cross-section of a sphere will  be a circle. 

Answer: circle

Any further questions about this? Or how I got my answer?

7 0
2 years ago
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