2x + 1=4x-3 solve for x

Answer:

I think the answer is 200

The joint probability of A and B is (c) 0.1.

To find the joint probability of events A and B, we can use the formula:

P(A and B) = P(A) * P(B/A)

Given:

P(A) = 0.20

P(B/A) = 0.50

Using the formula, we can calculate:

P(A and B) = 0.20 * 0.50 = 0.10

Therefore, the joint probability of A and B is 0.10, which corresponds to option c) 0.10.

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In this problem statement we find that Pinky the pig and Danny the duck have a total of 73 apples together.

To determine the total number of apples they have, we need to know how many apples Pinky the pig bought. The problem statement only provides information about the number of apples Danny the duck bought, which is 73.

Without the number of apples Pinky bought, we cannot calculate the total number of apples they have together. Therefore, we cannot generate a specific answer for the total number of apples they have.

It's important to have complete information about both Pinky's and Danny's apple purchases to accurately determine the total number of apples they have.

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Answer:

Step-by-step explanation:

Let x represent the distance between Earth and its moons.

Saturn’s rings span up to about (7.5 × 10^-1) of the distance between the Earth and its moons. It means that Saturn’s rings span is

(7.5 × 10^-1)x

If Saturn’s rings span up to 2.82 × 10^5 kilometers, it means that

(7.5 × 10^-1)x = 2.82 × 10^5

Dividing both sides of the equation by 7.5 · 10^-1, it becomes

x = (2.82 × 10^5)/(7.5 × 10^-1)

x = 3.76 · 10^5 km

Each solitary cupcake purchased from the candy shop will set you back a grand total of four dollars.

Let's say that the price of a single cupcake is 'x' dollars, but that the price of a single brownie is 'y' dollars. The following equations can be derived from the data that has been provided to us as a result of what has been shown to us:

Equation 1: 5x + 2y = 26

Equation 2: x + 4y = 16

Either the method of elimination or the method of substitution can be utilised to assist us in resolving this set of equations, and both are viable options. Let's use the method of elimination to figure out what the value of 'x' actually is so that we can go on.

After multiplying Equation 2 by 5, we get the following result: 5x plus 20y equals 80.

Now, let's find out what we get if we take Equation 1 and subtract it from the updated form of Equation 2.

(5x + 20y) - (5x + 2y) = 80 - 26 18y = 54 y = 3

After plugging in the value for 'y' in Equation 1, we get:

5x + 2(3) = 26 5x + 6 = 26 5x = 20 x = 4

As a consequence of this factor, the cost of a cupcake at the confectionery store is currently set at $4.

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Answer: There are 198 different combinations.

Step-by-step explanation:

To solve this type of problem, first, we need to identify the selections.

We have 3 selections.

Baby doll, Jigsaw puzzle, and a stuffed dog.

Now, we need to count the numbers of options for each case:

Baby doll: 11 options.

Jigsaw Puzzle: 6 options.

Stuffed dog: 3 options.

To find the total number of different combinations, we need to multiply all the numbers of options together, this is:

Combinations = 11*6*3 = 198

There are 198 different combinations.

Answer:

\((x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )\)

Step-by-step explanation:

Given

\(\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)\)

Required

Determine x2, y2

Start by splitting the expression

\(x_m = \left(\frac{x_1+\:x_2}{2})\) and \(y_m = (\frac{y_{1\:}+y_2}{2})\)

Solving for x2 in \(x_m = \left(\frac{x_1+\:x_2}{2})\)

Multiply through by 2

\(2 * x_m = \frac{x_1 + x_2}{2} * 2\)

\(2x_m = x_1 + x_2\)

Make x2 the subject;

\(x_2 = 2x_m - x_1\)

Similarly:

\(y_m = (\frac{y_{1\:}+y_2}{2})\)

Multiply through by 2

\(2 * y_m = \frac{y_1 + y_2}{2} * 2\)

\(2y_m = y_1 + y_2\)

Make y2 the subject;

\(y_2 = 2y_m - y_1\)

Hence:

\((x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )\)

Check the picture below.

\(\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(3)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(4)(3)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (2)^2}}\implies 15~~ + ~~6~~ + ~~2\pi \stackrel{using~\pi =3.14}{\implies 27.28}\)

The length and the width of the rectangle basee on the perimeter will be 2 and 4cm.

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

b = 2l ------(2)

From equations (1) and (2)

l + 2l = 75

3l = 75

l = 75/3

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, the scale factor =

l = 2 cm

Similarly,

w = 4 cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

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The triangle with side lengths 6, 9, and 12 is an obtuse triangle.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the hypotenuse is the side with length 12. So we can check if this triangle is a right triangle by seeing if the following equation is true:

6² + 9² = 12²

If this equation is true, then the triangle is a right triangle.

If it is false, then the triangle is either acute or obtuse.

Evaluating the left-hand side of the equation, we get:

6² + 9² = 36 + 81 = 117

Evaluating the right-hand side of the equation, we get:

12² = 144

Since 117 is less than 144, we know that:

6² + 9²< 12²

This means that the triangle is obtuse, because the square of the length of the longest side is greater than the sum of the squares of the lengths of the other two sides.

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After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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8

Step-by-step explanation:

5×4 equals 120 120 divided by 15 equals 8 which is the answer

Answer:

Either 8 or one

Step-by-step explanation:

Not really enough info but if u want me to explain my answer I can

Answer:

The area of the trapezoid is 165.06mi.

Step-by-step explanation:

We can find the area of a trapezoid by the following formula:

\(\boxed{A_T = \frac{(B + b) \cdot h}{2} }\)

Note: Base are the parallel sides of the trapezium.

Now, let's change the values in the previous formula:

\(A_T = \frac{(B + b) \cdot h}{2}\\\\A_T = \frac{(6.7 + 18.5) \cdot 13.1}{2}\\\\A_T = \frac{25.2 \cdot 13.1}{2}\\\\A_T = \frac{330.12}{2}\\\\A_T = 165.06\)

Therefore, the area of this trapezoid is 165.06 mi.

I hope I've helped.

Happy studying! =D

Answer:

4 side is the answer I am sure

Answer:

None.

Step-by-step explanation:

I assume we are talking about a regular heptagon.

This has 7 sides and 7 internal angles.

Each internal angle = 180 - (360/7) = 128.6 degrees which is an obtuse angle.

Answer:

29°F

Step-by-step explanation:

20 - (-9)= 20 + 9

= 29°F

Answer: 17

Step-by-step explanation: 2(x=3) = 6(2) 12 + 5 = 17.

The two forms of equations are identity equations and conditional equations.

By substituting the value of x=3, then we get 23.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

The two forms of equations are identity equations and conditional equations. All feasible values of the variables share the same identity. Only specific instances where the values of the variables coincide can result in the truth of a conditional equation. Two phrases exists connected into one by utilizing the equals sign ("=").

Let the equation be  2x² + 5

Substitute the value of x = 3, then we get

2(3)² + 5 = 23

Therefore, the value be 23.

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it should have 83 turkey and 83 ham and one extra.

Answer:

m<2 is 118

Step-by-step explanation:

since linear pair always form a 180 degree angle so we set it up as an equation

x + 62 = 180

x= 118 degrees

Answer:

this question also have same procedure.

you have to calculate x

Step-by-step explanation:

add two of them

and make equal to 4x - 11

then you will got the value of x which is x = 15

then put in 2x so EF will be 30

thanks

The area of the given figure is 21.57 sq. cm.

Calculation

Let us break the figure into different shapes so it becomes easier to calculate the area.

there is 2 triangle with base = 3cm  and height = 4cm

and 1 rectangle with length= 4 and width = 2

and a semi-circle with a radius of 1 cm

Total area= area of 2 triangles + area of rectangle + area of the semi-circle

Area of 2 triangles = \(2 *\frac{1}{2} * base* height\)\(= 2*\frac{1}{2} *3*4 = 12 cm\)

Area of rectangle = length* width = 4*2 = 8 cm

Area of semi-circle =  \(\frac{1}{2}\)π\(r^{2}\) \(\frac{1}{2} *\frac{22}{7} *1*1 = \frac{11}{7} = 1.57 cm\)

Total area = 12cm + 8cm + 1.57cm = 21.57 sq. cm

Hence, the total area of the given figure is 21.57 sq. cm

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The required value of y is 117°

Given AB and CD are parallel lines;

and EF is the transversal

Thus 2x + 16 = 3x - 12 { because they are corresponding angles }

On solving the above mentioned linear equation

we get,

x = 25

Thus the required angles are  2x + 16 = 50 + 16 = 66 degrees

and 3x - 12 = 75 - 12 = 63 degrees

And to find the value of y

we can use linear pair property

Thus y + 63 = 180

y = 180 - 63

y = 117 °

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Answer:

1216 kg

Step-by-step explanation:

19/8 = 9.5

128 x 9.5 = 1216

We need to know about asymptotes and holes to solve this problem. The radical function is \(\frac{x^{2} +9x}{x^{3}+16 x^{2} +69x+54}\)

A vertical asymptote is a vertical line that guides the graph of a function but is not a part of it. If there is a same factor in the numerator and the denominator then it is called a hole. A horizontal asymptote is a horizontal line with which the graph of the function seems to coincide but does not really coincide. In this question we know that vertical asymptotes are at x=-6 and x=-1, so we know that these are the factors of the denominator. A hole lies at x=-9, so this is a common factor for numerator and the denominator. There is an x-intercept at x=0 which means we have a this factor in the numerator.

f(x)=\(\frac{x(x+9)}{(x+9)(x+6)(x+1)}\)=\(\frac{x^{2}+9x }{(x+9)(x^{2} +7x+6)} =\frac{x^{2} +9x}{x^{3}+16 x^{2} +69x+54}\)

Therefore the radical function is \(\frac{x^{2} +9x}{x^{3}+16 x^{2} +69x+54}\)

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Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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Answer:

Answer is 0.63 or .63 either way is the same and right!

Step-by-step explanation:

7.56/11(1+ for jamal) =0.63

Your welcome!

The amount that an investor with 55 shares of this stock have earned in dividends will make in one year is A. $108.35.

It should be noted that the dividend for the year will simply be calculated by adding the dividend in each quarter.

Therefore, the amount that an investor with 55 shares of this stock have earned in dividends will make in one year will be:

= $27.50 + $19.25 + $34.10 + $27.50

= $108.35

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Answer:

78.54 cm

Step-by-step explanation:

Area of circle= πr^2    or      3.14(radius)^2      (^2= to the power of 2)

radius= half of diameter      10/2=5 cm

Area= 3.14*5^2=

3.14*5*5=

3.14*25=

78.54 cm

Answer:

8

Step-by-step explanation:

because first we will  subtract 120 from 360 after that the answer is 240 and finally now we have to divide by 30 and answer will come

Step-by-step explanation:

I hope this answer is helpful ):