Mr. Atkinson has 5.25 lb of dry fish food. He will put an equal amount of food into 3 containers. How much fish food will be in each container?

Answer:

Slope= 1/2

Step-by-step explanation:

The slope of the given line is 0.5.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The points on the table lie on a line, as follows;

x: (-2), 0, 2, 4

y: 3,4,5,6

To determine the slope of a line, you can use the formula:

(change in y)/(change in x)

As per the points in the table,

the change in x is (4-(-2)) = 6, and the change in y is (6-3) = 3.

Slope =  (3)/(6)

Slope = 1/2

Apply the division operation, and we get

Slope = 0.5

Therefore, the slope of the line is 0.5.

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Answer:8/3

Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3

Answer:

The answer is

[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]

Step-by-step explanation:

[tex]−3(k − 2) = −2 [/tex]

Expand the terms in the bracket

That's

[tex] - 3k + 6 = - 2[/tex]

Subtract 6 from both sides of the equation

We have

[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]

Divide both sides by - 3

[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]

We have the final answer as

[tex]k = \frac{8}{3} \\ [/tex]

Hope this helps you

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

5y-30=-5y+30

add 30 to both sides

5y = -5y+60

add 5y to both sides

10y = 60

divide both sides by 10

y = 6

hope this helps!

Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)

Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

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Answer:

B)

Step-by-step explanation:

edge

Answer:

Subtract

43

from

10

.

−

33

−

|

7

p

+

12

|

Step-by-step explanation:

The positive value of p from the equation is; p = 3

This is about absolute values.

10 = 43 - |7p + 12|

10 - 43 = - |7p + 12|

-33 = - |7p + 12|

divide both sides by -1 to get;

33 = |7p + 12|

Answer:

6A, D

Step-by-step explanation:

So, you have A = b*h. The general formula for the area of a triangle. Then, we double the base and triple the height. We then get the expression (2b)*(3h).

Since it is multiplication, we can multiply 2 and 3 to get 6 and get 6*b*h.

Though, we know b*h is just A so we get 6A.  

Answer:

Transformation: (x,y) → (x - 26, y + 17) or

[tex]T _{-26,17}[/tex](x,y) [translation]

A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.

Explanation:

Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).

Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.

The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.

Given all the points, the more complicated work is shown here:

(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).

When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.

Answer:

D

Step-by-step explanation:

Here we want to select which of the options best define open end credit.

When we talk of open end credit, we are referring to a loan system in which the borrower of the loan can payback and consistently borrow the loan from the lender.

In this case, what we are saying is that the borrower can payback a certain amount and still get an amount of money from the balance of the loan.

In simple case, it is a system of borrowing and loan repayment simultaneously

Answer:

It is 3/13

Step-by-step explanation:

it is because there are 13 total marbles and 3 yellow ones

Answer:

The differences between a physical change and a chemical change are as follows :

Hope I helped!

Best regards ! :D

~[tex] \text{TheAnimeGirl}[/tex]

Let the digit in one's place be y and digit at ten's place be x.

Sum of the digits = 11

⟶ x + y = 11

⟶ x = 11 - y -- equation (1).

And,

The number formed by reversing the digits is 27 more than the original number.

⟶ Reversed number = Original number + 27

reversed number = 10y + x.

⟶ 10y + x = 10x + y + 27

⟶ 10y + x - 10x - y = 27

⟶ 9y - 9x = 27

Substitute the value x from equation (1).

⟶ 9y - 9(11 - y) = 27

⟶ 9y - 99 + 9y = 27

⟶ 18y = 27 + 99

⟶ 18y = 126

⟶ y = 126/18

⟶ y = 7

Substitute the value of y in equation (1).

⟶ x = 11 - 7

⟶ x = 4

The number = 10(4) + 7 = 40 + 7 = 47.

∴ The required two digit number is 47.

I hope it will help you.

Regards.

Answer:

once again, the pattern is multiply by 3

Answer:

972

Step-by-step explanation:

the pattern is multiplied by 3

Answer:

1.94

Step-by-step explanation:

Let the number be x

So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,

now the number 3x is subtracted from its own square i guess it should look like this

[tex](3x)^2-3x[/tex]

and the answer is 28 so the final form of the problem should be

[tex](3x)^2-3x=28[/tex]

[tex]9x^{2} -3x-28=0[/tex]

now we solve the quadratic equation by using the quadratic formula and we two values for x

one is a positive value and the other is negative value we take the positive value as said in the question itself  "when three times a number which is positive" so that value of x is 1.94

Answer:

22

Step-by-step explanation:

You can just put it in your calculator

Answer:

22

Step-by-step explanation:

Answer:

The answer is 22.4.

Answer:

22.4

Step-by-step explanation:

you multiply 6 and -2.4 by 9

that gives you 54 and -21.6

then you add -10 to -21.6 giving you -31.6

lastly subtract -31.6 out of 54

which gives you 22.4

Answer:

The correct calculation is 180 - 56

Step-by-step explanation:

From the question, we have DCG and DCF

looking at the diagram, we can see that both lie on a straight line and are a linear pair

So the addition of both will give 180

But DCG is 56

So;

DCF + 56 = 180

So;

DCF = 180 - 56

If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.

The given statements are

(1) If a triangle is equilateral, then it has three congruent sides.

(2) If all the sides of a triangle are congruent, then each of its

Here, if a triangle is equilateral, then each of its angles measures 60°.

Therefore, option D is the correct answer.

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Answer:

2.68

Step-by-step explanation:

Answer:

I think that's it :)

Step-by-step explanation:

cause 2.5 x 2 = 5

and then 3 x 2 = 6

Answer:

Option: D is the correct answer.

D) 20.455 <= X <= 20.545

Step-by-step explanation:

We are given The ideal length of a particular metal rod is 20.5 cm.

It is given that:

The measured length may vary from the ideal length by at most 0.045 cm.

By atmost we mean either less than or equal to that amount but not more than that.

It means that:

|X-20.5|≤ 0.045

⇒  -0.045  ≤ X-20.5 ≤ 0.045

⇒    -0.045+20.5 ≤ X ≤ 20+0.045

⇒   20.455 ≤ X ≤ 20.545.

Hope this helped! <3

Answer:

The instantaneous velocity of the eagle at the given time is  7.5 m/s.

Step-by-step explanation:

Given;

height of the cliff, h = 125 m

the height at which the eagle is flying, h(t) = 125 + 1.25t²

The velocity of the eagle is given by;

v = dh/dt

v = 2.5t

The instantaneous velocity of the eagle at t = 3 seconds is given by;

v = 2.5(3)

v = 7.5 m/s

Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is  7.5 m/s.

Answer:

Step 1

Step-by-step explanation:

Answer:

146

Step-by-step explanation:

Since we know that this is a rhombus, we know that opposite angles must be equal to each other. This means that angle QTS is equal to angle QRS. Therefore angle QTS also equals 34.

Now, we also know that all the interior angles in a quadrilateral add up to 360. We can subtract 360-34-34=292.

Now we know that the remaining two angles S and Q need to add up to 292. We also know that they are equal because they are opposite angles. Therefore, we can solve the equation 292÷2=146. Each of these angles is 146. So the measure of angle S is 146.

The measure angle of S is 146 .

A rhombus is a special case of the parallelogram and is a quadrilateral with four equal sides. In a rhombus, the opposite sides are parallel and the opposite angles are equal. Also, all the sides of the rhombus are equal in length and the diagonals bisect each other at right angles. The rhombus is also known as a diamond.

By symmetry ;

This means that m∠QTS is equal to m∠QRS. Therefore ∠QTS is also equals 34.

We also know that The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.

Now we know that the remaining two angles S and Q need to add up to 292.

= 360 -34 -34= 292

We also know that they are equal because they are opposite angles.

Therefore, we can solve the equation,

[tex]\frac{sum of two opposite angle}{2}[/tex] = [tex]\frac{292}{2}[/tex] = 146

Each of these angles is 146.

So the measure of angle S is 146.

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Answer:

1.07x

Step-by-step explanation:

Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.

Answer:

It is 1.07x (✿◠‿◠)