What's the sum of 2/5 and 2/4?
A. 8/20
B. 6/7
c. 9/10
D. 10/20

Answer:

Step-by-step explanation:

\(\frac{3}{x+3}-\frac{4}{x-3}=\frac{3*(x-3)}{(x+3)(x-3)}-\frac{4(x+3)}{(x-3)(x+3)}\\\\=\frac{3*x-3*3}{(x+3)(x-3)}-\frac{4*x+4*3}{(x+3)(x-3)}\\\\=\frac{3x-9}{x^{2}-3^{2}}-\frac{4x+12}{x^{2}-3^{2}}\\\\=\frac{3x - 9 -(4x + 12)}{x^{2}-3^{2}}\\\\=\frac{3x-9-4x-12}{x^{2}-9}\\\\=\frac{-x-21}{x^{2}-9}\\\\\)

\(\frac{3}{x+3}-\frac{4}{x-3}=\frac{5x}{x^{2}-9}\\\\\frac{-x-21}{x^{2}-9}=\frac{5x}{x^{2}-9}\\\\-x-21=\frac{5x}{(x^{2}-9)}*(x^{2}-9)\\\)

-x - 21 = 5x

Add 'x' to both sides

-x -21 +x = 5x + x

        -21 = 6x

6x = -21

x = -21/6

   = -7/2

x = -3.5

The box's velocity can be calculated by dividing the distance it traveled by the time it took. In this case, the box moved 3 meters in 0.1 minutes, resulting in a velocity of 30 meters per minute.

Velocity is a measure of an object's displacement over time. To find the velocity of the box, we divide the distance it traveled (3 meters) by the time it took (0.1 minutes). Dividing these values gives us 30 meters per minute as the box's velocity.

It's important to note that the factory worker's speed of 58 meters per minute is not relevant to the calculation of the box's velocity. The worker's movement is independent of the box's motion on the conveyor belt. The box's velocity represents its own rate of displacement and does not consider any external factors. Therefore, the box's velocity is determined solely by the distance it traveled and the time it took.

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Answer:

4.5

Step-by-step explanation:

your question isn't very clear but I believe this is what youre asking:

step 1: using the order of operations we subtract 8-5 which gives us 3

step 2: we multiply 3x2 which gives us 6

step 3: If we divide 27/6, we get 4.5 If they are asking you to round the number, we get 5.

If this isn't the way they are asking you to solve, please clarify in the comments so I can help you!

Answer:

r = -6.1

Step-by-step explanation:

-7.8 = 4.4 + 2r

To get r, you need to isolate the variable

Subtract the 4.4 from both sides

-7.8 - 4.4 = 4.4 + 2r - 4.4

4.4 cancels out on the right

-12.2 = 2r

Divide both sides by 2

-12.2/2 = 2r/2

-6.1 = r

Answer:

Benny the tiger costs more to feed each day because he eats 12.5 pounds of meat per day, which costs $38.75 ($3.10 x 12.5). Jasmine eats 200 pounds of hay and alfalfa, which costs $0.00, since hay and alfalfa are not typically purchased with money. Therefore, Benny the tiger costs more to feed each day.

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Answer:

Since it's increasing add 3.5% to 100%

= 103.5% of £16470.45

= 103.5/100 × 16470.45

= 17046.92

= £17046.92

Hope this helps.

Answer:

Step-by-step explanation:

8y²+6y+1

=8y²+4y+2y+1

=4y(2y+1)+1(2y+1)

=(2y+1)(8y+1)

x = 1+i or x = 1-i are the complex roots of the graph

Below are the steps for determining the complex roots of a graph or curve:

1. Draw a vertical line passing through the vertex of the parabola or curve

2. The value of x where the line intersects the x-axis gives the real part of the root

3.  Draw a horizontal line of height twice the height of the vertex from the x-axis

4. Draw a vertical line from this point of intersection to intersect the x-axis

5. The distance of this point from the real part of the root gives you the imaginary part of the root

(Check the attached image for the labeling)

From the image attached:

Real part of the root: a = 1

Imaginary part of the root: b = 1

Remember: complex root is of the form x = a±bi

Therefore, the complex roots of the graph are x = 1+i or x = 1-i

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Answer:

Eric drove 28 7/11 miles with 1 gallon of gas.

Step-by-step explanation:

You just use long division and do 315 divided by 11, and you should get 28R7 so you just turn that R7 into 7/11.

Have a nice rest of your day :)

Answer:

4.5 hot dogs per minute

Step-by-step explanation:

rate of change=hot dog/minutes=54/12=4.5

Answer:

4.5 Hotdogs per Minute

Step-by-step explanation:

Rate of change is found by dividing the total amount of an object, in this case the hotdogs, by the amount of time.

We know that Nathan has 54 hotdogs and that he eats them in 12 minutes.

Therefore: \(\frac{54}{12}\) is the rate of change.

This can be simplified to 4.5 as the rate of change.

Answer:

The answer is (35/3, -7/3)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

~Hoped this helped~

Answer:

Shrek is the best

Step-by-step explanation:

Glad you all agree

soln,

2x+3x+x=180[Being angle on a line]

or,6x=180

or,x=180/6

or,x=30

Please give me brainliest answer

Answer:

Width: 90m

Length: 120m

Step-by-step explanation:

Width = 3/4x

Length = x

2(3/4x) + 2x = 420m

6/4 x + 2x = 420m. (6/4 + 2 = 7/2)

7/2x = 420m

7x = (420)*(2)

x = 840/7 = 120

Width = (120)*(3/4) = 90

Length: 120

2(90)+2(120)= 420m

Answer:

linear graph

Step-by-step explanation:

if the points are coming in a straight line it is linear

Answer:

D. The trench has become shallower because -32 is farther from 0 on a number line than -27

Answer: D

Step-by-step explanation: -27 is closer to zero than -32. Since these numbers were negative and the depth of the trench went from -32 to -27, we can assume that the trench had gotten more shallow.

I hope this helps!

Answer:

77° is the answer

Step-by-step explanation:

hope it helps;)

The measure of angle [T] will be ∠T = 139°.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Given is a triangle TSU.

The sum of the angles of a triangle is 180 degrees. So, we can write -

(21x + 13) + 4x + (3x - 1) = 180

21x + 4x + 3x + 13 - 1 = 180

28x + 12 = 180

28x = 168

x = 168/28

x = 6

So -

∠T = 21x + 13 = 21 x 6 + 13 = 126 + 13 = 139

∠T = 139°

Therefore, the measure of angle [T] will be ∠T = 139°.

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Answer:

it would take 21 minutes per mile

Step-by-step explanation:

Answer:

You have 44$, your brother has 11$.

Step-by-step explanation:

Let \(x\) be the amount of money your brother has.

Since you have four times the amount of money your brother has, we can call the amount of money you have \(4x\).

\(x+4x=55,\\5x=55,\\x=\boxed{\$11}\)

Thus, you have:

\(4(11)=\boxed{\$44}\)

Answer:

he has 11 you have 44 dollars

Answer:

You can divide and see if its devided by 3, and if its not in the times table, you will have a decimal

Step-by-step explanation:

Answer:

15 groups would be made.

Explanation:

150 divided by 10 = 15

Answer:

i made the link for the website i used so u can use in in simlar situations

Step-by-step explanation:

Solve for

y

.

y

=

6

√

tan

(

7

x

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−

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y

=

−

6

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its math w     a     yyyy .com

The graph takes 299 units width and intervals are of width  10, thus we can do division.

The number of intervals of width 10 needed to draw the given graph is specified by:

Option D: 25 or more.

Number of intervals with width 10 units needed to draw this graph correctly.

Range = Maximum value - minimum value = 299 - 0 = 299

If the width of intervals used is 10, then

\(\text{Number of intervals needed } \geq \dfrac{Total width}{width of interval} = \dfrac{299}{10} = 29.9\\\text{Number of intervals needed} = 30\)

We took greater or equal since we don't want to leave some points of the graph out, thus we ensure taking enough amount of intervals so as to cover the whole graph even if some space is remain unused in intervals.

Thus, Option D: 25 or more is correct option as 30 is more than 25.

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Answer:

Option D: 25 or more

Step-by-step explanation:

Answer: do 8 x 12

Step-by-step explanation:

Answer:

48cm^2

Step-by-step explanation:

(b*h)/2 -> (8*12)/2 -> 96/2 = 48 cm^2

The inverse of a function can be found by swapping the numbers in each ordered pair of the function.

When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.

To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.

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