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seropon [69]
3 years ago
5

For each day enter the number of hours worked. Use the format shown in Model 1 and answer in terms of a reduced fraction.

Mathematics
1 answer:
natulia [17]3 years ago
3 0
It is often easiest to use "military time". That is, add 12 to all the afternoon numbers and do the subtraction in the usual way. Of course, 1 hour = 60 minutes, so 10 minutes = 10/60 hour = 1/6 hour.

Mon: 15:10 -8:00 = 7:10 = 7 1/6

Tue: 15:25 -8:05 = 7:20 = 7 1/3

Wed: 14:30 -8:00 = 6:30 = 6 1/2

Thur: 14:45 -7:55 = 7:(-10) = 6:50 = 6 5/6

Fri: 15:38 -7:58 = 8:(-20) = 7:40 = 7 2/3

_____
Some calculators have nice features for working with degrees, minutes, and seconds. In this context, degrees and hours are the same thing. That is, the base-60 arithmetic is the same whether you consider the numbers to be hours or degrees. Similarly, some calculators convert nicely between decimal fractions and mixed numbers. In short, a suitable calculator will almost do this math for you. (You just need to add 12 to all the numbers in the column on the right.)
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(q^4)^z= q^12 find the value of z
juin [17]

Answer:

z = 3

Step-by-step explanation:

we use the method

(x^a)^b = x^(a*b)

so

(q^4)^z = q^(4*z)

now

4*z = 12

z = 12 / 4

so

z = 3

4 0
3 years ago
What is 11.25 as a fraction?
s2008m [1.1K]
11.25 is 11 1/4 because if you were to do 1 divided by 4, you would find that the answer is 0.25. But if you need an improper fraction, you would get 45/4 because if you were to put 11 times 4, you would get 44, and 44+1=45. Then you put that on the numerator spot, and you will get 45/4 for improper fraction.
7 0
3 years ago
The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per
Nikitich [7]
So we just need to plug in our values and solve
v = 20 \sqrt{273 + t}
we are given v is 369 so we have
369 = 20 \sqrt{273 + x}
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
369 = 20 \sqrt{273 + x}  \\ 18.45 =  \sqrt{273 + x}  \\ 340.40 = 273 + x \\ x = 67.4
so a temp of about 67 degrees C
5 0
2 years ago
Read 2 more answers
Given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))
kakasveta [241]

Answer:

f(g(x)) = 15x + 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

<u>Algebra I</u>

  • Functions
  • Function Notation
  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 5x + 7

g(x) = 3x - 1

<u>Step 2: Find</u>

  1. Substitute in functions:                                                                                    f(g(x)) = 5(3x - 1) + 7
  2. [Distributive Property] Distribute 5:                                                                 f(g(x)) = 15x - 5 + 7
  3. [Addition] Combine like terms:                                                                        f(g(x)) = 15x + 2
7 0
2 years ago
ABC is a triangle right agled at C if AC is equals to 16 cm and BC is equals to 12 cm find AB
Shalnov [3]

if ac is a and bc is b, then ab can be c. now we use Pythagorean method. 16 squared is 156 and 12 squared is 144. added together they are 400. 400 to the square root is 20. Your answer is 20

3 0
3 years ago
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