MATHEMATICS
HIGH SCHOOL

Answer:

So,

40% is equal to 2/5

60 times 5= 300

300 divided by 2= 150

Therefor your answer is 150!

Hope this helps!

Answer: 40% is 2/5

60 x 5 = 300

300 divided by 2 = 150

The answer is 150.

60 x 5 = 300

300 divided by 2 = 150

The answer is 150.

MIDDLE SCHOOL

24- (12/3 + 8) • (%)

Answer:

12

Step-by-step explanation:

12/3=4

4+8=12

24-12=12

HIGH SCHOOL

Quadrilateral DEFG has vertices D(−2,4) , E(4,7) , F(10,3) , and G(8,0) . What are the coordinates of D′E′F′G′ after quadrilateral DEFG has undergone a rotation 270° counterclockwise about the origin?

Enter your answers, as ordered pairs (x, y) , in the boxes.

The formula for a rotation 270° counterclockwise about the origin is (x,y)--->(y,-x)

D'(4,2) E'(7,-4) F'(3,-10) G'(0,-8)

MIDDLE SCHOOL

What is the answer to F(10)= 5(x-1)(2x+3)

Answer: " 1035 " .

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→ " F(10) = 1035 " .

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Step-by-step explanation:

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To solve:

For the "right-hand side" of the equation; substitute "10" for all "x" values:

Given:

F(10) = 5(x - 1)(2x + 3) ;

→ F(10) = 5(10-1)(2*10 + 3) ;

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How, to simplify the right-hand side of the equation;

Solve using PE MD AS ; the mnemonic device for the order of operations to use for simplifying an expression:

Please Excuse My Dear Aunt Sally [or: Susan—either name is fine] :

or the variant:

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Be Excused, My Dear Aunt Sally/Susan .

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in which the letters of the first words of the sentence in this mnemonic device represent the order of operations performed, as follows:

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(Parentheses, followed by Exponents); if these occur; in that order;

or: using the variant:

{Brackets, followed by Exponents}; if these occur, in that order;

— in which "Parentheses" are considered a type of "Brackets" ;

— and in which if both : Brackets and Parentheses occur,

the "Brackets", take first in the order of operations

[if they occur]; followed by: "Parentheses" ;

and then followed by: "Exponents" (if they occur);

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then: Multiplication (if it occurs) and Division (if it occurs);

However, instead of "Multiplication followed by Division" ;

the difference is that these operations are performed from left to right— as they appear (if both Multiplication and Division occur) within the expression ;

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then: Addition (if it occurs) and Subtraction (if it occurs);

However, instead of "Addition followed by Subtraction" ;

the difference is that these operations are performed from left to right— as they appear (if both Addition and Subtraction occur) within the expression.

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So:

Given:

F(10) = 5(x - 1)(2x + 3) ;

→ F(10) = 5(10-1)(2*10 + 3) ;

We can calculate—and simplify—the "right-hand side" of the equation; as follows:

We have:

→ " 5(10-1)(2*10 + 3) " ;

→ that is; " 5 * (10 - 1) * (2*10 + 3) ;

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We do have "parentheses" in this expression:

We shall begin by simplifying the values within the two (2) terms that are enclosed within parentheses:

Start with:

" (10 - 1) " ;

10 - 1 = 9 .

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Now, let us continue with the second term that is in parentheses:

" (2*10 +3 ) " ;

→ 2*10 + 3 = ?? ;

→ Note the order of operations rules—{as stated above]; state that "multiplication/division" come before "addition/subtraction" ;

→ So: " 2*10 + 3 = (2*10) + 3 = 20 + 3 = 23 .

On "the right-hand side" of the given equation; we have:

→ " 5 * (10 - 1) * (2*10 + 3) ;

Replace the terms: "(10 - 1)" with: "9" ;

"(2*10 + 3)" with: "23" ;

And rewrite:

→ F(10) = 5 * 9 * 23 ;

= 45 * 23 ;

= 1035 .

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The answer is: 1035 .

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Hope this is helpful to you.

Best wishes!

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MIDDLE SCHOOL

Simplify the equation (-4)(3)(-1)(-2)

Equations have relation symbols in them like =, >,< etc

so ty multiply negatives, you remember that it is the same as normal except when two different signs multiply with each other, the result is negative, when the two signs are the same, then the result is positive so

(-4)(3)(-1)(-2)

we can group them like this

[(-4)(3)][(-1)(-2)] so

[-12][2]

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so ty multiply negatives, you remember that it is the same as normal except when two different signs multiply with each other, the result is negative, when the two signs are the same, then the result is positive so

(-4)(3)(-1)(-2)

we can group them like this

[(-4)(3)][(-1)(-2)] so

[-12][2]

-24