MATHEMATICS HIGH SCHOOL

Evaluate the expression

Answers

Answer 1

Answer:

Answer: 85

Step-by-step explanation:

To solve this problem, we want to use the order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

To be more specific, you evaluate the expression in the order from top to bottom. To clarify, it is multiply OR divide, depending on which comes first, left to right. This also applies to add OR subtract.

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20÷(5-3)+5²(3) [solve parenthesis]

20÷(2)+5²(3) [solve exponent]

20÷2+25(3) [solve multiply or divide, left to right]

10+75 [solve add or subtract]

Answer 2

Answer:

Answer:

Step-by-step explanation:

To evaluate the expression, follow the rule of PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

$20 / (5-3) +5^2(3)$

Solve inside the parentheses first by subtracting 3 from 5.

5-3 = 2

$20 / (2) +5^2(3)$

Next, evaluate the exponent.

5² = 5*5= 25

$20 / 2+25(3)$

Next, multiply 25 and 3.

25 *3 =75

$20 / 2+75$

Then, divide 20 by 2.

20/2=10

$10+75$

Finally, add 10 and 75.

$85$

The expression $20 / (5-3) +5^2(3)$ evaluated is 85.

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7x-8x+4=5x-2 solve for x

Answers

7x - 8x + 4 = 5x - 2

7x - 8x - 5x = -2 - 4

-6x = -6

x = 1

$7x-8x+4=5x-2 \n 4+2=5x-7x+8x \n 6=6x \n 6/6=x \n 1=x$

Multi Step Problem (Show work)
-k +4 - 5k = 1

Answers

Answer:

Subtract 5k from -k then you get

-6k + 4 =1

add 4 to both sides

-6k = -3

divide by -6 on both sides

k= -3/-6

simplify to get k= 1/2

Step-by-step explanation:

Answer:

k = 1/2

Step-by-step explanation:

-k - 5k = -6k

you minus 4 from each side

-6k = -3

you divide -6 from each side and you get-3/-6

which equals 1/2

What number solves this propoetion? 2.4/m=3/4.5

Answers

$\frac { 2.4 }{ m } =\frac { 3 }{ 4.5 } \n \n \frac { 4.5 }{ 3 } \cdot m\cdot \frac { 2.4 }{ m } =\frac { 3 }{ 4.5 } \cdot m\cdot \frac { 4.5 }{ 3 } \n \n m=\frac { \left( 4.5 \right) \left( 2.4 \right) }{ 3 } \n \n m=\frac { \left( 4+\frac { 1 }{ 2 } \right) \left( 2+\frac { 2 }{ 5 } \right) }{ 3 }$

$\n \n m=\frac { 8+\frac { 8 }{ 5 } +1+\frac { 2 }{ 10 } }{ 3 } \n \n m=\frac { 9+\frac { 16 }{ 10 } +\frac { 2 }{ 10 } }{ 3 } \n \n m=\frac { \frac { 90 }{ 10 } +\frac { 18 }{ 10 } }{ 3 }$

$\n \n m=\frac { \frac { 108 }{ 10 } }{ 3 } \n \n m=\frac { 108 }{ 10 } \cdot \frac { 1 }{ 3 } \n \n m=\frac { 108 }{ 30 } \n \n m=\frac { 3\cdot 36 }{ 3\cdot 10 } \n \n m=\frac { 36 }{ 10 } \n \n m=3.6$

Find the original price of a microwave oven. Discount: 20% Sale Price: $250.00

Answers

Let's take the original price as a
After the discount of 20%, the price is 250.
80/100 * a = 250
a = 250 * 100 / 80
a = 312.5

So original price is 312.5

when 12 is added to a certain number and the result is multiplied by 4. the final result is 60.find the number.

Answers

Answer:

The number is 3

Step-by-step explanation:

Let x be the number

Add 12

(x+12)

Then multiply by 4

4(x+12)

This is equal to 60

4(x+12) = 60

Divide each side by 4

4(x+12)/4 = 60/4

x+12 = 15

Subtract 12 from each side

x+12-12 = 15-12

x = 3

Answer is 3

=====================================================

Work Shown:

x = some unknown number

x+12 = adding 12 to the unknown number

4(x+12) = multiplying the previous sum by 4

4(x+12) = 60 .... set this equal to the desired result we want

Now solve for x. We will undo the steps done above to isolate x

----------------

4(x+12) = 60

x+12 = 60/4 .... divide both sides by 4 to undo "multiply by 4"

x+12 = 15

x = 15-12 .... undo "add 12" by subtracting 12 from both sides

x = 3

-----------------

The unknown number is 3

add 12 to it to get 3+12 = 15

multiply that sum by 4 to get 15*4 = 60

Answer is confirmed.

The graph of f (x)=√x is transformed to create thegraph of g (x)= -2√x+6. Which of these describes a
transformation used to create the graph of g?

Answers

The transformation used to create the graph of g(x) from the graph of f(x) is a vertical and horizontal transformation.

The "-2" in the equation of g(x) reflects a vertical stretch by a factor of 2, which causes the graph to become narrower and steeper than f(x).

The "+6" in the equation of g(x) reflects a vertical shift upward by 6 units, which moves the entire graph of g(x) upward by 6 units.

Therefore, the transformation used to create the graph of g(x) from the graph of f(x) is a vertical and horizontal transformation.

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