simplify
(1/4 + 5/2) -2
please show step by step

Answer:

[tex]\frac{1}{2}[/tex]

Find the least common factors of both numbers.

[tex]1/3~has~4\\2/12~has~1[/tex]

Multiply the numerator and denominator.

[tex]\frac{1 * 4}{3 * 4} = \frac{4}{12} \\\\\frac{2 * 1}{12 * 1} = \frac{2}{12}[/tex]

Add both numbers together. That does not mean you have to add the denominators. When the denominators are the same, keep them the same.

[tex]\frac{4}{12} +\frac{2}{12} = \frac{6}{12}[/tex]

Simplify.

[tex]\frac{6}{12} -- > \frac{1}{2}[/tex] because they are both halves.

Part I: Determining the common denominator of the terms

Given expression:

[tex]\dfrac{1}{3} + \dfrac{2}{12}[/tex]

To simplify the expression, we need to determine the common denominator of both fractions (1/3 and 2/12). To determine the common denominator of both fractions, we need to determine the LCM of the denominators (12 and 3). Simply write the multiples of (12 and 3) and determine the least common multiple (LCM).

Since the LCM is 12, our common denominator is 12.

Part II: Multiplying both denominators by a number which is equivalent to 12

Now, multiply both denominators by a number such that the denominators are equivalent to 12. Keep in mind that the number you multiply the denominator should also be multiplied to the numerator.

[tex]\implies \dfrac{x}{3x} + \dfrac{2y}{12y} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}3x = 12; 12y = 12\huge\text{]}[/tex]

[tex]\implies \dfrac{4}{3(4)} + \dfrac{2(1)}{12(1)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}x = \dfrac{12}{3} = 4; y = \dfrac{12}{12} = 1 \huge\text{]}[/tex]

[tex]\implies \dfrac{4}{12} + \dfrac{2}{12}[/tex]

Part III: Adding the fractions

Since the denominators are the same, we can now add the fractions;

[tex]\implies \dfrac{6}{12}[/tex]

Part IV: Simplifying the fraction obtained from the above

Since 6 is divisible by 12, we can further simplify the fraction.

[tex]\implies \dfrac{6 \times 1}{6 \times 2}[/tex]

[tex]\implies \boxed{\dfrac{1}{2}}[/tex]

Answer:

32

Step-by-step explanation:

he needs to put 2 pounds on the other side as well

16 ounces is a pound

16×2=32

32

16 ounces are equivalent to a pound. So 16x2= 32 which is your answer.

Answer: #1

Step-by-step explanation: if you look closely at the purple line you will see it falls into (y <3) and yeah

Answer:

i think its 9 m if im wrong im sry  T_T

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

base(b) = 11, height(h) = 8, Area of parallelogram = ? We know that, Area of parallelogram = 1/2 × b× h = 1/2 × 11 × 8 = 11 × 4 = 44 square units

The answer is 88


11x8 = 88 base times height !!!!

Answer:

D. -2x - 8

Step-by-step explanation:

1) Simplify 1/3(6x+15) to 6x+15/3

-6x+15/3 - 3

2) Factor out the common term 3.

-3(2x+5)/3 - 3

3) Cancel 3.

-(2x+5)-3

4) Remove parentheses.

-2x-5-3

5) Collect like terms.

-2x+(-5-3)

6) Simplify

-2x-8

Answer:

50%

Step-by-step explanation:

32 -> 100%

16 -> ?%

=> 16 * 100 / 32 = 50 %

Answer:

6 times

Step-by-step explanation:

Answer:

8 can go into 51 six(6) times

Answer:

3cm, is correct.

use the surface area formula

Answer:

I believe the answer is A. 15-(3xy)

Step-by-step explanation:

The expression you are given is 15-(yx3) and option A is 15-(3xy). All they did was flip the values in the parentheses. It doesen't matter what value is first because the negative sign will be distributed to everything in the parentheses.

Hope this helps!!

Mark me brainliest please!

Answer: a) (3,0.5) b)(28/13, 47/13)

1)7x+4y=23

8x-10y=19

70x+40y=230

32x-40y=76

102x=306

x=306/102=3

7(3)+4y=23

21+4y=23

4y=2

y=1/2

2)Step-by-step explanation:

11x-6y=2

-8x+5y=3

Multiply the first equation by 5 and the second by 6.

55x-30y=10

-42x+30y=18

Now add both of the new equations

13x=28

x=28/13

Now plug it into the first equation to find y

11(28/13)-6y=2

308/13-6y=2

y=47/13

Answer:

267/100

Step-by-step explanation:

Hope this helps! :)

Answer:

A

Step-by-step explanation:

Answer:

this is the answer for your question

Answer:

centre = ( -6 , 4 ) and radius = 6

Step-by-step explanation:

(x-a)² + (y-b)² = r²

where (a , b ) represents the centre and r the radius.

compare the standard form to (x+6)² + (y−4)² = 36

=> a = -6, b=4 and r = [tex]\sqrt{36}[/tex] = 6

=> centre = (-6, 4) and radius = 6

Answer:

6.4

Step-by-step explanation:

All ways:

Exact form:

32/5

Decimal Form:

6.4

Mixed Number Form:

6 2/5.

CANNOT BE SIMPLIFIED IN ANY WAY

Answer:

a=-7

Step-by-step explanation:

2a=-2+4(a+3)

2a=2+4a+12

2a=4a+14

-2a/-2a=14/-2a

a=-7

Answer:

600 minutes           ( 10 hours)

Step-by-step explanation:

   rate c = 1 job/30 min

   rate r = 1 job/40 mi  

     1 job / ( 1/30 + 1/40) =    1 / ( 7/120) = 17.14 minutes   per ruckload

17.14 * 35 trucks = 600 minutes

Answer:

[tex]x \sqrt[12]{ {x}^{5} } [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{ {x}^{2} } \sqrt[4]{ {x}^{3} } [/tex]

[tex] {x}^{ \frac{2}{3} } {x}^{ \frac{3}{4} } = {x}^{ \frac{8}{12} } {x}^{ \frac{9}{12} } = {x}^{ \frac{17}{12} } = {x}^{ \frac{5}{12} } x = x \sqrt[12]{ {x}^{5} } [/tex]

Answer: hii

Graph the line using the slope and y-intercept, or two points.

Slope: −3/4

y-intercept: (0,−5)

x   {}   y

0  {}  −5

4  {}  −8

Step-by-step explanation:

Hopefully this helps you

- Matthew

Answer:

C: 1/2.

Step-by-step explanation:

the answer is 1/2 because I just took it and got it right.

If his home is valued at $253,000, roughly the amount that  cesar paying for homeowners insurance is: $0.38 per $100 of value.

Using this formula

Homeowners insurance=Insurance premium/Total value×$100

Let plug in the formula

Homeowners insurance= $972.80/$253,000×$100

Homeowners insurance=$0.38

Therefore  the amount that  cesar paying for homeowners insurance is: $0.38 per $100 of value.

Learn more about Homeowners insurance here:https://brainly.com/question/26078866

#SPJ4

Answer:

Its C

Step-by-step explanation:

Answer:

1a. x=3 y=3

1b. x=-7 y=-21

1c. x=¼

2a. a(a-2)-b(2+b)

2b. a²(a²-3)+1

Step-by-step explanation:

a .

x + y = 6

+

2x - y = 3

3x = 9

3x/3 = 9/3

x = 3

x + y = 6

y = 6 -x

y = 6 - 3

y = 3

b.

2x - y = 7

+

y = 3x

2x = 3x + 7

2x - 3x = 7

x = -7

y = 3x

y = 3(-7)

y = -21

c.

[tex] {x}^{2} + \frac{1}{16} = \frac{x}{2} [/tex]

[tex] {x}^{2} + \frac{1}{16} - \frac{x}{2} = 0[/tex]

[tex]16( {x}^{2} - \frac{x}{2} + \frac{1}{16} ) = 0[/tex]

[tex]16 {x}^{2} - 8x + 1 = 0[/tex]

[tex](4x - 1)(4x - 1) = 0[/tex]

[tex]x = \frac{1}{4} [/tex]

2.

a.

[tex] {a}^{2} - 2a - 2b - {b}^{2} [/tex]

[tex]a(a - 2) - b(b + 2)[/tex]

The probability that Ben does the math homework is 0.33 and the probability that he does the English homework is 0.25.

A probability tree is a term that refers to a tool used in calculus to graphically represent the possible outcomes of a situation.

To calculate the probability that Ben will do his tasks, we perform the fraction that describes each of them as shown below:

Learn more about probability in: https://brainly.com/question/11234923

Answer:

change 0.3 to fraction which is 3/10 then substract from 1

then it will be 1-3/10 =7/10 also 0.7