All categories

2 years ago

Look at this equation 1/2(x+1)=2what is the four step process to find the solution to this equation

1 answer:

4 0

Using the order of operations you'll have to apply PEMDAS (Parentheses Exponents Multiplication Division Addition Subtraction) and in that order.

1/2 (x+2) = 2

1. Since there is nothing to do with the parentheses and there are no exponents you will be starting with multiplication.
Multiply 1/2 by (x+1).
1 (x+1)/2 = 2:

x+1/2 = 2

2. Next you'll have to multiply the denominator of 2 by both sides canceling it out on the left.
2 (x+1)/2 = 2(2):

x+1 = 4

3. Lastly, subtract 1 from both sides canceling it out on the left.
x+1 -1 = 4 -1

x = 3.

Check:

1. Fill in the variable x with 3 and solve inside parentheses.
1/2(3+1) = 2:

1/2 (4) = 2

2. Multiply 4 by 1/2.
4(1/2) = 2
4/2 = 2:

2=2

You might be interested in

Ben rolled a number cube numbered one through six. It landed on an odd number 30 times. What is the probability that it lands on

elena55 [62]

Answer:

1 /2

Step-by-step explanation:

Sample space of number cube : (1, 2, 3, 4, 5, 6)

Odd numbers on cube : (1, 3, 5) = 3 odd numbers

Since each roll of number cube is independent, the number of times it has landed between fire does not matter :

Therefore, probability of landing on a odd number is :

P = required outcome / Total possible outcomes

P = 3 / 6

P = 1/2

8 0

2 years ago

lim x rightarrow 0 1 - cos ( x2 ) / 1 - cosx The limit has to be evaluated without using l'Hospital'sRule.

zaharov [31]

Answer with Step-by-step explanation:

Given

$f(x)=\frac{1-cos(2x)}{1-cos(x)}\\\\\lim_{x \rightarrow 0}f(x)=\lim_{x\rightarrow 0}(\frac{1-(cos^2{x}-sin^2{x})}{1-cos(x)})\\\\(\because cos(2x)=cos^2x-sin^2x)\\\\\lim_{x \rightarrow 0}f(x)=\lim_{x\rightarrow 0}(\frac{1-cos^2x}{1-cos(x)}+\frac{sin^2x}{1-cosx})\\\\=\lim_{x\rightarrow 0}(\frac{(1-cosx)(1+cosx)}{1-cosx}+\frac{sin^2x}{1-cosx})\\\\=\lim_{x\rightarrow 0}((1+cosx)+\frac{sin^2x}{1-cosx})\\\\\therefore \lim_{x \rightarrow 0}f(x)=1$

6 0

2 years ago

A stadium has 49,000 seats. Seats sell for $42 in Section A, $36 in Section B, and $30 in Section C. The number of seats in

Nonamiya [84]

Answer:

7,000

Step-by-step explanation:

3,500b + 3,500c = a

3,000b + 4,000c = a

7,000 = a

idk what i was doing

7 0

2 years ago

What is the answer to -3 to the second power + 4.6 times -0.1

vagabundo [1.1K]

The answer is -9.46 yeah i think thats correct

8 0

2 years ago

Read 2 more answers

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Stree

Flauer [41]

Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.

<h3>What is Pythagoras theorem?</h3>

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of the right angle triangle.

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour.

They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles.
At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour.

Here, Thus, Florida Avenue is hypotenuse triangular path and the other two sides are Capitol Street and H Street. The distance of Florida Avenue is,

$1^2+1.75^2=d^2\\1+3.0625=d^2\\4.0625=d^2\\d=\sqrt{4.0625}\\d=2.0156$

Thus, Jesse walks 2.0156 with 5 miles per hour. Thus, the time taken by him is

$t_J=\dfrac{2.0}{5}\\t_j=0.4\rm\;hr$

Mark plans to jog back the way they came which is 2.75 miles (1+1.75) long with speed of 12 miles per hour. Thus, the time taken by him is

$t_M=\dfrac{2.75}{12}\\t_M=0.23\rm\;hr$

Thus, Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.

Learn more about the Pythagoras theorem here;

brainly.com/question/343682

#SPJ1

3 0

1 year ago