There were 120 black birds sitting in a tree , but then some blackbirds flew after that there were 85 birds sitting in the tree if b=the number of blackbirds that flew away , which mathematical sentence expresses the information above?

Answer:

s=18

Step-by-step explanation:

First of all, the formula is s=60-12t. thanks to the person who answered this question first (teehee)

S=distance and t=duration.

We also know that the distance is 60 km, the bicyclists's speed is 12 km/h, and the duration for this example is 3.5 hours.

So, using the formula, we substitute all the variables and s=18.

Thanks!

Also, for how the formula is what it is, look at the previous answer cuz yea.

Maybe this helped?

hehe- EG

Answer:

The correct option is 4.

Step-by-step explanation:

From the given figure it is noticed that the triangle CDG and triangle FCE have a common vertex C. So both triangle are sharing same angle at vertex C.

In triangle CDG and triangle FCE

[tex]\angle GCD\cong \angle FCE[/tex]

If the length of two adjacent sides increases, then the inclined angle remains the same.

If the side CD increased to E and side CF increased to G, then

[tex]\angle GCE\cong \angle ECG[/tex]

Therefore option 4 is correct.

The equation 7x-4=-2x+1+9x-5 has infinitely many solutions

Two or more expressions with an Equal sign is called as Equation.

The given equation is 7x-4=-2x+1+9x-5

We have to  take the variable terms on one side and constant on other side

In the given equation x is the variable and plus comma minus are all operators.

We need to solve for x.

7x+2x-9x=1-5+4

9x-9x=0

0=0

So the equation has infinitely many solutions

Hence, the equation 7x-4=-2x+1+9x-5 has infinitely many solutions

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Answer:

the answer is 28 A

Step-by-step explanation:

Answer:

189,000

Step-by-step explanation:

The value of y in the equation is -2.5.

To determine the value of y in the equation -5y-9=-(y-1), we can start by distributing the negative sign to both terms within the parentheses. This gives us -5y-9=-y+1. Next, we can combine like terms by adding y to both sides of the equation. This simplifies the equation to -4y-9=1. To isolate y, we can subtract 9 from both sides of the equation, resulting in -4y=10. Finally, we divide both sides of the equation by -4 to find the value of y, which is -2.5.

The additional piece of information is needed to determine that ABDC is a parallelogram is,

⇒ AB ≅ CD

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In quadrilateral ABDC,

⇒ AB ∥ CD.

Now,

We know that;

When opposite side of a quadrilateral are parallel and equal to each other, then the quadrilateral are called a parallelogram.

Here, In quadrilateral ABDC,

⇒ AB ∥ CD.

Hence, The additional piece of information is needed to determine that ABDC is a parallelogram is,

⇒ AB ≅ CD

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Time taken to complete the project if two people worked together is required.

It would taken around 3.4 hours to complete the project if both the people worked together

Time taken to complete the work by first person is 6 hours

Time taken to complete the work by second person is 8 hours

The work equation will be be

[tex]\dfrac{1}{6}+\dfrac{1}{8}=\dfrac{1}{x}\\\Rightarrow \dfrac{4+3}{24}=\dfrac{1}{x}\\\Rightarrow x=\dfrac{24}{7}\approx 3.4\ \text{hours}[/tex]

So, it would taken around 3.4 hours to complete the project if both the people worked together.

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Answer:

5,378,000,000

Step-by-step explanation:

5.378E9

5.378 x 10^(9)

5,378,000,000

The question asks for a number which when multiplied by 2 gives a result that is 24 less than the result of the number when multiplied by 4. The solution to this problem is the number 12.

The student's question asks about algebraic expression and solving for a value. This could be written as an equation:

2x = 4x - 24

First, let's simplify this equation by subtracting 2x from both sides, this gives you:

2x = 24

Then, solve the equation by dividing both sides by 2, and we find that the number is:

x = 12

So, the number that the student is searching for is 12. Twice this number is 24, which is indeed 24 less than 4 times the number (48).

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Answer:

[tex]\frac34[/tex] and [tex]-\frac34[/tex]

Step-by-step explanation:

Hello!

We have to solve for x to find the roots of the quadratic.

The roots of the quadratic are [tex]\frac34[/tex] and [tex]-\frac34[/tex].

The roots of the quadratic is when the value of y is 0, or when the graph intersects the x-axis.

The components of the vector in rectangular form given magnitude and angle can be found by using the following formulas: [tex]x = \|\vec r\|\cdot \cos \theta[/tex], [tex]y = \|\vec r\| \cdot \sin \theta[/tex].

Let be a vector in rectangular form, that is, a vector of the form (x, y). The magnitude can be found by applying the square root of the dot product of the vector or the Pythagorean theorem and the direction is determined by applying inverse trigonometric functions:

[tex]\|\vec r\| = \sqrt{(x,y)\,\bullet\,(x,y)}[/tex]     (1)

[tex]\|\vec r \| = \sqrt{x^{2}+y^{2}}[/tex]     (2)

θ = tan⁻¹ (y/x)     (3)

And the components of the vector can be found by applying the following formulas:

[tex]x = \|\vec r\|\cdot \cos \theta[/tex]     (4)

[tex]y = \|\vec r\| \cdot \sin \theta[/tex]     (5)

The components of the vector in rectangular form given magnitude and angle can be found by using the following formulas: [tex]x = \|\vec r\|\cdot \cos \theta[/tex], [tex]y = \|\vec r\| \cdot \sin \theta[/tex].

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You can find the components of a vector given its magnitude and angle by using the cosine function to find the horizontal component, and the sine function to find the vertical component.

To find the components of a vector given its magnitude and angle, you will use basic trigonometric ratio principles. These principles typically involve the use of sine (sin) and cosine (cos) functions.

First, consider a vector V with magnitude (or length) denoted by |V| and an angle θ from the positive x-axis. The components of the vector can be resolved into horizontal (x-direction) and vertical (y-direction) components.

The x-component (Vx) of the vector can be found using the equation:
Vx = |V| cos(θ).
Similarly, the y-component (Vy) of the vector can be found using the equation:
Vy = |V| sin(θ).

These equations are derived from the definitions of the sine and cosine functions in a right triangle, which is formed by the vector V and its components.

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