How would you express the number 52 using the binary number system?

Solve for x. 5x−2(x+1)=1/4 <br><br> Enter your answer as a fraction in simplest form.

kondaur [170]

Answer:

x= 3/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x−2(x+1)= 1 /4

5x+(−2)(x)+(−2)(1)= 1 /4

(Distribute)

5x+−2x+−2= 1 /4

(5x+−2x)+(−2)= 1 /4

(Combine Like Terms)

3x+−2= 1 /4

3x−2=1 /4

Step 2: Add 2 to both sides.

3x−2+2= 1 /4 +2

3x= 9 /4

Step 3: Divide both sides by 3.

3x/ 3 = 9 /4 /3

x= 3 /4

6 0

2 years ago

Read 2 more answers

A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models

polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

$x_2$ is the second point in the function

$x_1$ is the first point in the function

$f(x_2)$ is the function evaluated at the second point

$f(x_1)$ is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so $x_1=1$ and $x_2=10$ . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

$Av=9$

Since $f(x)$ represents the number of pounds per acre and $x$ the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

6 0

3 years ago

Two small fires are spotted by a ranger from a fire tower 60 feet above ground. The angles of depressions re 11.6° and 9.4°. How

Hitman42 [59]

<span>The two fires are about 70 feet from each other. The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be: Calculate the angle. That will be 90° - 11.6° = 78.4° The distance will be tan(78.4) = X/60 60 tan(78.4) = X 60 * 4.871620136 = X 292.2972082 = X And that's how far the 1st fire is from the ranger's station. Now for the 2nd angle = 90° - 9.4° = 80.6° 60 tan(80.6) = X 60 * 6.040510327 = X 362.4306196 = X And the distance between the two fires will be the difference in distance from the tower, so 362.4306196 - 292.2972082 = 70.13341146 Rounding to 2 significant figures gives 70 feet.</span>

4 0

3 years ago

Which algebraic expression represents the phrase "seven more than half of a number"?

MrRissso [65]

Answer:

Step-by-step explanation:

½X+7

4 0

2 years ago

What number is 45% of 60, as well as 8 is 0.5% of what number?

JulsSmile [24]

Hi!

We can set up proportions to solve these.

1. $\frac{x}{60} \frac{45}{100}$

2. $\frac{8}{x} \frac{0.5}{100}$

Cross multiply to solve for x

1. 60 x 45 = 2700
2700/100 = 27

2. 8 x 100 = 800
800/0.5 = 1600
(Tip: dividing by 0.5 is the same as multiplying by 2)

The answers are
1. 27
And
2. 1600

Hope this helps! :)

7 0

2 years ago