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4 years ago

What is the correct order for performing mathematical operations in simplifying expressions

Mathematics

2 answers:

Alja [10]4 years ago

7 0

Answer:

PEMDAS

Step-by-step explanation:

P=Parenthesis E=Exponents M=Multiplication D=Division A=Addition S=Subtraction

Vanyuwa [196]4 years ago

5 0

PEMDAS
(Parenthesis, Exponents, Multiplication and Division, Adding and Subtracting)

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3. In 2014, a small town had a population of 27,000 people. Since 2014, the town

WITCHER [35]

Answer:

38,340

Step-by-step explanation:

you take 6% of 27000 and multiply it by 7 years and then add the original 27,000

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3 years ago

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PLS HELP ME ASAP!!!!

mafiozo [28]

Answer:

20 Km per hour.

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3 years ago

The median of the marks 10, 13, 3x-1, 3x+1, 18, 18 arranged in ascending order is

Lorico [155]

Answer:

a. Marks = 10, 13, 14, 16, 18, 18

b. mode = 18

c. Range = 8

Step-by-step explanation:

==>Given the following data set arranged in ascending order:

10, 13, 3x-1, 3x+1, 18, 18

Median = 15

==>Required:

a. Marks:

To get each marks, let's find the value of x since we know median to be 15.

10, 13, [3x-1, 3x+1], 18, 18

Our median in this even number of data set would be the average of the 2 middle values which would give us 15.

Thus, we have:

[(3x-1) + (3x+1)] ÷ 2 = 15

[3x-1 + 3x+1] ÷ 2 = 15

[3x+3x-1+1] ÷ 2 = 15

6x/2 = 15

Multiply 2 by both sides

6x = 30

Divide 6 by both sides

x = 5

Now let's plug in the value of x to get out marks:

10, 13, 3(5)-1, 3(5)+1, 18, 18

10, 13, 14, 16, 18, 18

b. Mode is the most appeared data value, which is 18

c. Range is the difference between the highest and lowest value = 18 - 10 = 8

5 0

3 years ago

If the quadratic functions for the equations are graphed, which is the widest?

alexandr402 [8]

Answer:

D) y = 1/4 x^2

Step-by-step explanation:

For these functions, the leading coefficient can be considered to be either ...

the vertical scale factor (larger ⇒ narrower)

the square of the inverse of the horizontal scale factor.

In the latter case, the horizontal scale factor will be larger (wider) when its inverse and the square of its inverse are smaller.

Either way, you're looking for the smallest leading coefficient: 1/4.

8 0

4 years ago

The area of a rectangle is 980 in squared. the ratio of the length to the width is 5 : 4. find the length and the width.

ella [17]

Answer: The length of the rectangle is 35 in.

The width of the rectangle is 28 in.
_________________________________________________________
Explanation:
_________________________________________________________
The formula for the area, "A", of a rectangle:

Area (A) = length (L) * width (w) ;

that is: " A = L * w " ;

A = 980 in² (given);

ratio of the length to the width is: " 5 : 4 " (given);

→ Find the length (L) and the width (w).
_________________________________________________________

→ 980 in² = (5x) * (4x) ;

in which: " 980 in² " is the area of the triangle;

" 5x" = the length (L) of the rectangle, for which we shall solve;

" 4x" = the width (w) of the rectangle, for which we shall solve.
_______________________________________________________
If we find solve for "x" ; we can solve for "5x" and "4x" (the "length" and the "width", respectively); by plugging in the solved value for "x" ;
_______________________________________________________

→ 980 in² = (5x) * (4x) ;

↔ (5x) * (4x) = 980 in² ;

→ (5x) * (4x) = (5) * (4) * (x) * (x) = 20 * x² = 20x² ;

→ 20x² = 980 ;

Divide each side by "10" ; by canceling out a "0" on each side of the equation:

→ 2x² = 98 ;

Now, divide each side of the equation by "2" ;

→ 2x² / 2 = 98 / 2 ;

to get:

→ x² = 49 ;

Now, take the "positive square root" of each side of the equation; (since a "length or width" cannot be a "negative value") ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ ⁺√(x²) = √49 ;

to get:

→ x = 7 ;
______________________________________________________
Now, we can solve for the "length" and the "width" ;

→ The length is: "5x" ;

5x = 5(7) = " 35 in " ;
______________________________________________________
→ The width is: "4x" ;

4x = 4(7) = "28 in."
______________________________________________________
Let us check our answer:

→ A = L * w ;

→ 980 in² = ? 35 in. * 28 in. ?? ;

Using a calculator: "35 * 28 = 980" . Yes! ;
____________________________________________________
{ Also note: " in * in = in² " ? Yes! } .
____________________________________________________

3 0

3 years ago