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olchik [2.2K]
2 years ago
7

A. Which department gets approximately one-fourth of the annual budget?

Mathematics
1 answer:
nadezda [96]2 years ago
6 0

Answer:

A. Sales

B. thirty percent

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The large clock below hangs in Isaac's living room. If the radius of this clock is 3.5 feet, what is its circumference? Round yo
Degger [83]

Answer:

22.0

Step-by-step explanation:

knowing the radius is 3.5 -

and the formula for the circumfrence -

2 pi r

we can then use the radius -

2 * 3.14 * 3.5

which is 21.98 -

rounding to 22.0

hope this helps!!

3 0
2 years ago
Read 2 more answers
Which is one reason why this expression is equal to 0. 8.29•-5.62+5.62/5.62
AnnZ [28]

Answer:

Step-by-step explanation:

-24699              

 —————— = -24.69900  

  1000              

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "•" was replaced by "*".

(2): "*-5" was replaced by "*(-5)".

(3): "5.62" was replaced by "(562/100)". 4 more similar replacement(s)

Step by step solution :

Step  1  :

           281

Simplify   ———

           50  

Equation at the end of step  1  :

   829      62  562   281

 ((———•-5)•———)+——— ÷ ———

   100     100  100   50  

Step  2  :

           281

Simplify   ———

           50  

Equation at the end of step  2  :

   829      62  281   281

 ((———•-5)•———)+——— ÷ ———

   100     100  50    50  

Step  3  :

        281      281

Divide  ———  by  ———

        50       50  

3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

281     281       281      50

———  ÷  ———   =   ———  •  ———

50      50        50      281

Equation at the end of step  3  :

   829          62      

 ((——— • -5) • ———) +  1

   100         100      

Step  4  :

           31

Simplify   ——

           50

Equation at the end of step  4  :

   829         31      

 ((——— • -5) • ——) +  1

   100         50      

Step  5  :

           829

Simplify   ———

           100

Equation at the end of step  5  :

   829         31      

 ((——— • -5) • ——) +  1

   100         50      

Step  6  :

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  1000  as the denominator :

        1     1 • 1000

   1 =  —  =  ————————

        1       1000  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

6.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-25699 + 1000     -24699

—————————————  =  ——————

    1000           1000  

Final result :

 -24699              

 —————— = -24.69900  

  1000              

Processing ends successfully

4 0
2 years ago
On a number line what is the distance between -3/2 and 6?
sesenic [268]

Answer:

  • 7.5 units

Step-by-step explanation:

The distance is always positive and is same as the absolute value of subtraction of the two numbers on the line.

<u>This can be shown as:</u>

  • |-3/2 - 6| =
  • |-1.5 - 6| =
  • |-7.5| =
  • 7.5

or

  • | 6 - (-3/2)| =
  • |6 + 1.5| =
  • |7.5| =
  • 7.5
6 0
2 years ago
Read 2 more answers
What is the measure of ∠ADC?
Pachacha [2.7K]

Answer:

131

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper
Setler79 [48]

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

68=20a+b\\ \\86=30a+b

Subtract these two equations:

86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}

Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

4 0
2 years ago
Read 2 more answers
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