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avanturin [10]
3 years ago
12

Nd the value of the expression. Type a numerical answer in the space provided. 4 ∙ 1 - 3^2 ÷ 3

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0
This is a problem of Arithmetic that is a branch of mathematics that consists of the study of numbers. Its main goal is the study of the traditional operations on them just as: <em>addition, subtraction, multiplication and</em><span><em> division</em>. </span>There is an order of operation to solve problems in arithmetic that is the way you choose to simplify expressions. This order is like this:

1. First. Solve Parentheses.
2. Second. Solve Exponents (and root).
3. Third. Solve Multiplication and Division
3. Fourth. Solve addition and subtraction.  

So let's apply these concepts to our problem:

4 \times 1-3^2 \div 3

We don't have parentheses, so let's apply second step:

4 \times 1-9 \div 3

Applying third step:

4-3

Finally, applying fourth step, the result is:

1

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Answer:

if you are dividing the 2 fractions the answers are below

Step-by-step explanation:

1. 0.24

2. 3.75

3. 0.44642857

4 0
3 years ago
Express 105/20 as amixed number in simpilist form
Brums [2.3K]

Answer:

5\frac{1}{4}

Step-by-step explanation:

  1. 105 ÷ 20 = 5.25
  2. 5.25 = 5\frac{25}{100} = 5\frac{1}{4}  

I hope this helps!

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G:10

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A small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going down
Eddi Din [679]

The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0  Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

Let's suppose the rate of the current  = r

The time it takes to go downstream + 4 hours   = time to go upstream

As we know the:

\rm   Time = \dfrac{Distance}{  Rate }

Now,

\rm \dfrac{44}{ (8 + r)}  + 3   =  \dfrac{44}{ (8 - r)}

After solving:

\rm   \dfrac{44}{ (8 - r)}-\dfrac{44}{ (8 + r)}    =3

After cross multiplication

44(8+r) - 44(8-r) = 3(8+r)(8-r)

88r = 3(64 - r²)

3r² + 88r - 192 = 0

After solving the above quadratic equation, we get:

r = 2.03 or

r=−31.37 (reject as it is negative)

So, the r  =2.03 mph

Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

3 0
3 years ago
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