Solve: 2/x + 3/2x - 1/2 = 2/3

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{3}{2x}-\frac{1}{2}=\frac{2}{3}\\multiply ~by~6x\\12+9-3x=4x\\21=4x+3x\\7x=21\\x=21/7=3[/tex]


Related Questions

the area of triangle LMN is 26 square units. the triangle is reflected across LM and then translated 3 units to the right and 4 units up. what is the area of the resulting triangle?

Answers

Answer:

  26 square units

Step-by-step explanation:

Reflection and translation are rigid motions that do not affect the size or shape of the triangle. It has the same area as the original: 26 units².

Mr stokes placed 5 marbles in a bag. I’m looking for A,B,C,D,E

Answers

Answer:

B,C,D,E,A

Step-by-step explanation:

Btw, Mr. Stokes from RTMS?

what is (4x^2y^3)^2=

Answers

Answer:

16x⁴y⁶

Step-by-step explanation:

(4x²y³)² =

= 4²x²ˣ²y³ˣ²

= 16x⁴y⁶

1. Jack is 30 years old and Alice is 35 years old. What percent of Alice's age is Jack, rounded to the nearest tenth of a percent? ​

Answers

the answer would be 57percent

This is my algebra I have a A+ but I wanna keep it up

Answers

Answer:

45 minutes

Step-by-step explanation:

We want to know how long it takes to an airplane to fly a distance of 375 miles, if the speed of the airplane is 500 miles per hour.

For this, we should divide the distance/speed to get the time that the plane needs.

T = 375mi/(500mi/h) = 0.75 hours

The plane needs 0.75 hours or 0.75*60 = 45 minutes to fly that distance.

X/5=15 Question 7 options: 20 3 75 10

Answers

Answer:

x = 75

Step-by-step explanation:

X/5=15

Multiply each side by 5

x/5 * 5 = 15*5

x = 75

Answer:

Step-by-step explanation:

15*5=75

therefore answer is x=75

Answered

Mr.carlisle paid his utility bill last weekend.he paid $50 to the phone company,$112 to the power company,and $46 to the water company.after he paid those bills,what was the change in the total amount of money that mr carlisle had ?

Answers

Answer:-$208

Step-by-step explanation:

Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)

Answers

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at  (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

a(1)³ + b(1)² + c(1) + d = -0.5

a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

Multiplying equation (2) by 2 and subtracting it from equation (1) gives;

2 × (a + b = -0.5) = 2·a + 2·b = -1

3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1

a = 1

From

a + b = -0.5, we have;

1 + b = -0.5 = 0

b = -0.5 - 1 = -1.5

The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

A pitcher contains 19.25 cups of iced tea. You drink 1.25 cups of the tea each morning and 1.5 cups of the tea each evening. When will you run out of iced tea?

Answers

Answer:

Seven days

Step-by-step explanation:

From the information given, you know that you drink in a day 1.25 cups of the tea in the morning morning and 1.5 cups of the tea in the evening which is equal to:

1.25+1.5=2.75 cups a day

Now that you know the amount of cups that you drink in a day, you can divide  the amount of cups in the pitcher by the amount of cups you drink in a day:

19.25/2.75= 7

According to this, the answer is that you will run out of iced tea after seven days.

need help someone please

Answers

Answer:

52

Step-by-step explanation:

I'm pretty sure that it would be 52 mi because it is the same said that the angel ST is. Angels NM and ST are congruent. Therefore, the answer is 52 mi.

anyone know the answer i worked it out but didn't know where i messed up so i am just gonna ask for someone to help me with it.

Answers

I also worked it out but I got -5/3

2(6p-5) ≥ 3(p-8) -1

12p-10 ≥ 3p-24-1

12p-10 ≥ 3p-25

12p-3p ≥ -25+10

9p ≥ -15

-15/9

P ≥ -5/3

Record the mass of the object based on the reading from the mass of the object is
the triple-beam balance
grams

Answers

Answer:

167

Step-by-step explanation:

Answer:

167

Step-by-step explanation:

Determine if the sequence is arithmetic 28,26,24,22,...

Answers

Answer: yes it is

Step-by-step explanation:

Common difference -2

The sequence 28,26,24,22,... is arithmetic because it’s a pattern. The order of operational value is being subtracted from the previous number two units each time.

Angle A is 80, Angle C is 40 Figure out what measure the angle of B

Answers

Answer:

60

Step-by-step explanation:

The angle measures in a triangle always add up 180 degrees. 180-80-40=60

plz help 30 points
3(x+2)=18
please solve for x

Answers

In 3(x+2)=18,  X=4

Divide both sides by the numeric factor on the left side, then solve.

Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15

Answers

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

First question

a.)

y = 3x - 4

Comparing with the general equation above

Slope / m = 3

The y intercept / b = - 4

Second question

b).

4x - 5y = 15

First we must write the equation in the general equation above by making y the subject

That's

5y = 4x - 15

Divide both sides by 5

That's

[tex] \frac{5y}{5} = \frac{4}{5} x - \frac{15}{5} [/tex]

We have

[tex]y = \frac{4}{5} x - 3[/tex]

Comparing with the general equation above

Slope = 4/5

Y intercept = - 3

Hope this helps you

please i need help with these problems thank you!!

Answers

First pic power of -2
Second pic the power of y and x is -3

Combine like terms in the following equation:
18 – 5W + 7w - 4 = 28

Answers

Answer:

7

Step-by-step explanation:

Step 1:

18 - 5w + 7w - 4 = 28

Step 2:

14 + 2w = 28

Step 3:

2w = 14

Answer:

w = 7

Hope This Helps :)

The answer to this equation is 7

A lottery claims that 3% of tickets win a prize. what is the probability that you win a prize if you purchase twenty tickets?

Answers

3% of 20 tickets

=3% X 20
=3/100 X 20
=60/100
=6/10
=0.6

Ans: The probability of winning a prize if we purchase 20 tickets is 0.6

The layer of the atmosphere that is least densely packed is

Answers

Answer:

mesosphere

The air in the mesosphere has extremely low density: 99.9 percent of the mass of the atmosphere is below the mesosphere. As a result, air pressure is very low.

A blueberry recipe calls for 1\frac{3}{4} cups of sugar. How many cups of sugar would need to make the muffin recipe 3 times?

Answers

Answer:

4 3/4

Step-by-step explanation:

Just multiply 1 3/4 and 3 = 4 3/4

Dana has 2 more sweets than dhabia, dhabia has double the amount of sweets than ameera. Translate this sum into an algebraic expression.

Answers

Ammera's sweet= A

Dhabia's sweet= B

Dana's sweet= C

Ax2=B+2=C

r-85=114 what is the awnser

Answers

Answer:

[tex]r=199[/tex]

Step-by-step explanation:

hopefully that was the answer you were looking for

Answer:

1.34117647059

Step-by-step explanation:

114 divided by 85 =1.34117647059

hope this helps

Find the distance between the points (-6,-8) and (-2,0). The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The answer is

[tex]4 \sqrt{5} \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6,-8) and (-2,0)

The distance between them is

[tex]d = \sqrt{ ({ - 6 + 2})^{2} + ({ - 8 - 0})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 8})^{2} } \\ = \sqrt{16 + 64} \\ = \sqrt{80} [/tex]

We have the final answer as

[tex]4 \sqrt{5} \: \: \: units[/tex]

Hope this helps you

(01.01)
Evaluate -40 - 5. (1 point)
8
-8
-35
-45

Answers

Answer:

Step-by-step explanation:

-40 - 5 = -45

answer is D

Which statement is true regarding the functions on the graph?

Answers

You got it, both the x’s interest there

Is 144 a perfect square?

A. The whole number 144 is a perfect square because the square root of 144 is a whole number.

B. The whole number 144 is not a perfect square because the square root of 144 is not an irrational number.

C. The whole number 144 is a perfect square because 144 is divisible by 2.

D. The whole number 144 is a perfect square because 144 is divisible by 4.

Answers

Answer:

A,

Step-by-step explanation:

because the whole number 144 is a perfect square and the square root of 144 is also a whole number

2. It takes 39,090 gallons of water to manufacture a new car. Sammy thinks that rounds up to about 40,000
gallons. Susie thinks it is about 39,000 gallons. Who rounded to the nearest thousand, Sammy or Susie?
Use pictures, numbers, or words to explain.

Answers

Answer:

Susie rounded to the nearest thousandth.

Step-by-step explanation:

since the 100th place is 0 it would round down to 39,000 when you are rounding to the nearest thousand.

what is the probability that jenny rolls a double 1​

Answers

Answer:

1/36

Step-by-step explanation:

Assuming that there are 2 dice

There are 36 possible outcomes ( 6*6)

There is only one way to get 2 ones

P ( 1,1) =  positive outcomes / total

          =1/36

PLEASE HELP ME I WILL MARK YOU BRAINLIEST

Answers

The answer is going to be B

Answer:

D

Step-by-step explanation:

Their are 9 in the first row and their are 5 rows all together so 9 times 5 is 45.

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