Express each product in the simplest form.

The answer is

c) 10(3q + 3)

because it is asking for the VALUE of the number of dimes, not the number of dimes. To get the value of the number of dimes, you have to take the equation 3q+3 and multiply it by 10.

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To determine how many acres were planted with green beans, we simply take half of the total acreage. Mr. Greenjeans planted a total of 2 acres, so half of this is 1 acre; therefore, 1 acre was planted with green beans.

The question is asking how many acres were planted with green beans, given that Mr. Greenjeans planted crops on 2 acres of land and half of it was with green beans. To find the answer, we need to calculate half of the total land area.

Here is the step-by-step explanation:

Therefore, Mr. Greenjeans planted 1 acre of land with green beans.

Answer:

X= 8 or 9

Step-by-step explanation:

Both equations in a system of linear equations have y-intercepts at (0,2) but it is not possible for this system to have only one solution because it depends on another point as well.

Given :

Both equations in a system of linear equations have y-intercepts at (0,2).

The following steps can be used in order to determine the system have only one solution or not:

Step 1 - According to the given data, both equations in a system of linear equations have y-intercepts at (0,2).

Step 2 - The equation of a line is given by:

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 3 - From the above steps, it can be concluded that it does not say that the system to have only one solution because it depends on another point as well.

For more information, refer to the link given below:

https://brainly.com/question/2564656

Answer:

The distance between points M and N is 9.8m.

Step-by-step explanation:

It is given that JKL is a triangle and M and N are the mid points of the KL and JL respectively.

Now, if we join the mid points together that is MN, then we can see that the basic proportionality holds that is:

[tex]\frac{LM}{MK}=\frac{LN}{NJ}[/tex]

[tex]\frac{10.7}{10.7}=\frac{7.4}{7.4}=\frac{1}{1}[/tex] which holds.

And which also proves that MN is parallel to JK.

Now, if MN is parallel to JK, then the measure of MN will be half the measure of JK, that is:

[tex]MN=\frac{1}{2}JK[/tex]

[tex]MN=\frac{1}{2}(19.6)[/tex]

[tex]MN=9.8 m[/tex]

Thus, the measure of MN is 9.8 meters.

Answer:

yah its 9.8 meters bro

Step-by-step explanation:

best of luck to yall on assignment and happy new year!!!

Answer:

[tex]y=2.5x+70[/tex]

Step-by-step explanation:

First of all, this problem is modelled by a linear equation, where the ratio of change is the slope of the line.

Now, we know that [tex]x[/tex] represents students and [tex]y[/tex] represents the total cost.

The problem states that for 25 students, the total cost is $132.50. And for 30 students, the total cost is $145. This information represents two points

[tex](25,132.50)[/tex] and [tex](30,145)[/tex].

So, to find the equation, we first have to find the slope using these two point and the following formula

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{145-132.50}{30-25}=\frac{12.5}{5}=2.5[/tex]

This means the slope is 2.5

Now we use the point-slope formula to find the linear equation

[tex]y-y_{1} =m(x-x_{1} )\\y-145=2.5(x-30)\\y=2.5x-75+145\\y=2.5x+70[/tex]

Therefore, the equation that models this problem is

[tex]y=2.5x+70[/tex]

Where the flat fee is $70, and the fee per student is $2.5.

Answer: Value of cos(M) is

[tex]\cos M=\frac{19}{20}[/tex]

Step-by-step explanation:

Since we have given that

LMN is a right angled triangle where L and M are complementary angles ,

And,

[tex]\sin L=\frac{19}{20}=\frac{Perpendicular}{Hypotenuse}[/tex]

so, we will find base now by using "Pythagorus theorem":

[tex]H^2=B^2+P^2\\\\20^2=B^2+19^2\\\\400=B^2+361\\\\400-361=B^2\\\\39=B^2\\\\\sqrt{39}=B[/tex]

As we know that side opposite to mentioned theta is considered as perpendicular as shown in the figure ,

For M as [tex]\theta[/tex]

NL will be its perpendicular and MN will be its base and to find the cos(M) we use Base and Hypotenuse.

So, now we will find cos(M) i.e.

[tex]\cos M=\frac{Base}{Hypotenuse}=\frac{19}{20}[/tex]

Hence,

[tex]\cos M=\frac{19}{20}[/tex]

Answer:

[tex]16\ burgers[/tex]

Step-by-step explanation:

Let

n ----> the number of burgers

x ----> the total pounds of hamburger

we know that

To find out the number of burgers, divide the total pounds of hamburger by three quarter pound (3/4 lb)

we have

[tex]x=12\ lb[/tex]

so

[tex]n=\frac{12}{(3/4)}=\frac{48}{3}=16\ burgers[/tex]

This results in 16 burgers. To find out how many three quarter pound burgers can be made with twelve pounds of hamburger, you divide the total pounds of hamburger by 0.75.

First, you need to perform a division calculation.

Note that a three quarter pound burger is equivalent to 0.75 pounds.

Therefore, you can make 16 three quarter pound burgers with twelve pounds of hamburger.

Answer:

A.  ∠M ≅ ∠M''

B.  △LMN ~ △L''M''N''

E.  The coordinates of vertex N'' are (3, -1.5).

Step-by-step explanation:

Transformation involves changing the position and size of a shape.

The true statements are:

The coordinates of the triangle are:

[tex]\mathbf{L = (-1, 2)}[/tex]

[tex]\mathbf{ M = (-1, -1)}[/tex]

[tex]\mathbf{N = (2, -1)}[/tex]

The transformation rule is given as:

[tex]\mathbf{do, 0.75(x,y)\circ,2(x,y)}[/tex]

The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.

Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:

The above highlights means that:

Next, we apply the rule on the coordinates of the triangle

[tex]\mathbf{L" = 0.75 \times 2 \times (-1,2)}[/tex]

[tex]\mathbf{L" = (-1.5,3)}[/tex]

[tex]\mathbf{M" = 0.75 \times 2 \times (-1,-1)}[/tex]

[tex]\mathbf{M" = (-1.5,-1.5)}[/tex]

[tex]\mathbf{N" = 0.75 \times 2 \times (2,-1)}[/tex]

[tex]\mathbf{N" = (3,-1.5)}[/tex]

Hence, the true statements are:

Read more about transformations at:

https://brainly.com/question/11709244

the answer is xz/y.

Answer:

The expression represents the constant of variation k is  [tex]\frac{xz}{y}[/tex].

Step-by-step explanation:

As given

A quantity x varies directly with y and inversely with z.

[tex]x \propto y[/tex]

and

[tex]x \propto \frac{1}{z}[/tex]

Than combined the above equation.

[tex]x \propto \frac{y}{z}[/tex]

[tex]x = k\frac{y}{z}[/tex]

Where k is the constant of variation.

Than

[tex]k = \frac{xz}{y}[/tex]

Therefore the expression represents the constant of variation k is  [tex]\frac{xz}{y}[/tex].

IT IS 2.31, I AM TELLING YOU THIS IS 2.31

Answer:
The first image in your answer choices

Explanation:
To find the table of solutions for the given graph, we observe points on the graph that are intersected by the line.

The easiest starting point is often where the line intercepts (or crosses) the vertical y-axis. This occurs one unit above the origin (0,0), so we would say list this point as ordered pair (0, 1). This eliminates the third and fourth tables as answer choices.

Now we use the horizontal x-axis to find other points that the line crosses through. Starting at x = 1, we can see the line goes through the point 4 units above the x-axis here; therefore, its ordered pair is (1, 4). This eliminates the second table as an answer choice.

Let's use one more point to confirm we have the right choice. Starting at x = -1, we can see the line goes through the point 2 units below the x-axis here; therefore its ordered pair is (-1, -2).

The first table contains all of these ordered pairs (0, 1), (1, 4), and (-1, -2), making it your answer choice.

Answer:

[tex]-\sqrt{3}[/tex]

Step-by-step explanation:

we know that

[tex]tan(-\frac{\pi}{3})=-tan(\frac{\pi}{3})[/tex]

and

[tex]tan(\frac{\pi}{3})=\frac{sin(\frac{\pi}{3})}{cos(\frac{\pi}{3})}[/tex]

remember that

[tex]cos(\frac{\pi}{3})=\frac{1}{2}[/tex]

[tex]sin(\frac{\pi}{3})=\frac{\sqrt{3}}{2}[/tex]

substitute the values

[tex]-tan(\frac{\pi}{3})=-\frac{(\sqrt{3}/2)}{(1/2)}\\ \\=-\sqrt{3}[/tex]

Answer:

h-1(x) = -x

Step-by-step explanation: