Add the fraction and simplify thr answer 1 over 2 plus 2 over 3

Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

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Given:

The equation is:

\(\ln e^{\ln x}+\ln e^{\ln x^2}=2\ln 8\)

To find:

The solution for the given equation.

Solution:

We have,

\(\ln e^{\ln x}+\ln e^{\ln x^2}=2\ln 8\)

It can be written as:

\(\ln x+\ln x^2=2\ln 8\)              \([\because \ln e^x=x]\)

\(\ln (x\cdot x^2)=2\ln 8\)              \([\because \ln a+\ln b=\ln (ab)]\)

\(\ln (x^3)=\ln 8^2\)         \([\because \ln x^n=n\ln x ]\)

On comparing both sides, we get

\(x^3=8^2\)

\(x^3=64\)

Taking cube root, we get

\(x=\sqrt[3]{64}\)

\(x=4\)

Therefore, the required solution is \(x=4\).

Answer:

x=4

Step-by-step explanation:

What is the true solution to the equation below?

ln e Superscript ln x Baseline + ln e Superscript ln x squared Baseline = 2 ln 8

x = 2

x = 4

x = 8

After answering the presented question, we may conclude that  the solution of the expressions are as follows.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

the solution of the expressions are as follows -

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Answer:

5.5 hours

Step-by-step explanation:

Given that :

Speed of A = 60 kmphr

Speed of B = 80 kmphr

After what time will distance = 770 km

Speed * Time = Distance

Let time = x

Distance A + Distance B = 770

(60 * x) + (80 * x) = 770

60x + 80x = 770

140x = 770

x = 770 / 140

x = 5.5 hours

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

1

Step-by-step explanation:

1

The only line of symmetry is a vertical line that runs through the center of the width of the figure, from the dip between the two half circles of the top to the vertex at the bottom.

Answer:

  1

Step-by-step explanation:

You want the know the number of lines of symmetry of a heart shape.

The figure is symmetrical about a vertical line through the center. There is one line of symmetry.

Every point on the left side of that line corresponds to a point at the same distance on the right side of the line.

Answer:

20.7 I hope this is right good luck

Answer:

The answer is z= 1,-1+i\(\sqrt{6}\), -1-i \(\sqrt{6}\)

Step-by-step explanation:

There were approximately 5,184 graduates in 2008.

The cubic model is a useful tool for estimating the number of graduates in a given year, as it takes into account the trend of the data points. This allows us to make an educated guess about the number of graduates in a given year, despite not having data points for that year.The cubic model for the number of graduates from an online university since 2002 can be expressed as y = -7.8x^3 + 74.4x^2 + 437x - 9,150. Here, x is the number of years since 2002, and y is the number of graduates in that year. To estimate the number of graduates in 2008, we can plug in x = 6 into the equation, giving us y = 5,184. That is, there were approximately 5,184 graduates in 2008.

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The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer:

Yes

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

i thought i did once though I freaked out trying to find my cat for hours walking up and down the neighborhood calling his name but turns out my black cat was just blending in with the black seat in my car

Answer:

Final Expression:

3.095D + $10

Step-by-step explanation:

Let's represent the Monthly Rent by "D" dollars

The amount Dave is expected to pay before renting the apartment is the Sum of All the Fees he has been quoted:

Application Fee:

1.5% of 1 month's rent = 0.015D

Credit Application Fee:

$10.00

Security Deposit:

1 Month's rent =  D

Last Month's rent:

1 Month's Rent = D

Broker's Fee:

9%

Thus, The algebraic expression that represents the amount Dave is expected to pay before renting the apartment is:

0.015D + $10  +  D  +  D + 1.08D

Simplify Expression:

3.095D  + $10

Hence, The final expression is:

Answer:  3.095D + $10

0.48p

Step-by-step explanation:

1.20÷10=0.12

0.12×4=0.48

put the wrong answer ignore this

\(\\ \rm\longmapsto \dfrac{9}{81}+1+10<55\)

\(\\ \rm\longmapsto \dfrac{1}{9}+11<55\)

\(\\ \rm\longmapsto \dfrac{99+1}{11}<55\)

\(\\ \rm\longmapsto \dfrac{100}{11}<55\)

\(\\ \rm\longmapsto 9.1<55\)

Proved

Note that /* means 1 line added means fraction .

and ++ means +1

Answer: 47.5

Step-by-step explanation:

Given

2x-10+x+x=180

combine like term x      

       4x-10=180

addition property of equality (add 10 on both sides)

             4x=190

division property (divide 4 on both sides)

               x=47.5

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

your answer will be 47.5

The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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Answer:

These triangles are not similar because the ratios of corresponding sides are not equal.

The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the value of s must be 35 units so that the quadrilateral becomes a parallelogram.

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

Answer:

Because you can't divide by zero.

Step-by-step explanation:

If x = -2, it makes the denominator 0. This will result in the equation being undefined because you can't have zero in the denominator.

The solution to the inequality will be greater than or equal to negative 5 but at x = -2, the function is not defined.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3 / (x + 2) + 4 ≥ 3

Simplify the inequality, then we have

3 / (x + 2) + 4 ≥ 3

[3 + 4(x + 2)] ≥ 3(x + 2)

3 + 4x + 8 ≥ 3x + 6

4x - 3x ≥ 6 - 8 - 3

x ≥ -5

The solution to the inequality will be greater than or equal to negative 5 but at x = -2, the function is not defined.

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Answer:

12

Step-by-step explanation:

3+2+7=12

Hope this helps! Please give brainliest!

Null Hypothesis: There is no association between handedness and career for Accountants. And Alternative Hypothesis: There is an association between handedness and career for Accountants.

Profession 1: Lawyer

Null Hypothesis: There is no association between handedness and career for Lawyers.

Alternative Hypothesis: There is an association between handedness and career for Lawyers.

Profession 2: Pilot

Null Hypothesis: There is no association between handedness and career for Pilots.

Alternative Hypothesis: There is an association between handedness and career for Pilots.

Profession 3: Accountant

Null Hypothesis: There is no association between handedness and career for Accountants.

Alternative Hypothesis: There is an association between handedness and career for Accountants.

Profession 4: Nurse

Null Hypothesis: There is no association between handedness and career for Nurses.

Alternative Hypothesis: There is an association between handedness and career for Nurses.

Profession 5: Teacher

Null Hypothesis: There is no association between handedness and career for Teachers.

Alternative Hypothesis: There is an association between handedness and career for Teachers.

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Answer:

3 9/20 miles

Step-by-step explanation:

1 1/4+ 2 1/5= 3 9/20

Answer:

six equal to eight?????