The length of a rectangle is 5(x+2) units. The width of the rectangle measures (2x-1) units. Set up and simplify an alegebraic expression to find the difference between the rectangles length and width.

Answer:

15÷b=m

Step-by-step explanation:

So if you need to find the answer it could be either 3 boxes and 5 muffins in each bow or 5 boxes with 3 muffins in each box.

I know you didn't ask for the but I thought I should say it just in case.

Solution :

Given :

Perimeter, P = 16 m

The length is 4 times less then three times the width.

Let the length be l and width be w.

Therefore, according to the equation :

Length, l = 3w -  4  ................(i)

Perimeter, P  = 2(l+w)

                 16 = 2(l+w) ............(ii)

                 16 = 2l + 2w

                  8 = l + w ..............(iii)

Therefore solving equation (i) and (iii)

l = 3w - 4

8 = l + w

We get, w = 3  and l = 5

Answer:

16 divided by 3 = 5.3

Step-by-step explanation:

Given:

The arithmetic sequence is −15, −33, −51, −69.

To find:

The nth term of the arithmetic sequence.

Solution:

We have,

−15, −33, −51, −69

Here,

First term: a = -15

Common difference is

[tex]d = -33-(-15)[/tex]

[tex]d = -33+15[/tex]

[tex]d = -18[/tex]

Now, nth term  of an arithmetic sequence is

[tex]a_n=a+(n-1)d[/tex]

Substitute a=-15 and d=-18.

[tex]a_n=-15+(n-1)(-18)[/tex]

[tex]a_n=-15-18n+18[/tex]

[tex]a_n=-18n+3[/tex]

Therefore, the nth term of the given arithmetic sequence is [tex]a_n=-18n+3[/tex].

Answer:

I think the answer is 2/3

Answer:its easy it the first one you had posted

Step-by-step explanation:

Answer:

substitute x for -36 and y for 58

Step-by-step explanation:

Answer:

Es creciente en los siguientes intervalos: [tex][-\infty,-1] U [1,\infty][/tex]

Es concavo hacia abajo en el intervalo: [tex][-\infty,0)[/tex]

Es concavo hacia arriba en el intervalo: [tex](0,\infty][/tex]

Step-by-step explanation:

Sea la función:

[tex]f(x)=x^{3}-3x-1[/tex]

Para determinar el intervalo de crecimeinto debes determinar la primer derivada de la función (f'(x)). El intervalo donde f'(x) > 0 es creciente.

La derivada de f(x) es:

[tex]f'(x)=3x^{2}-3[/tex]

Entonces es creciente en los siguientes intervalos:

[tex][-\infty,-1] U [1,\infty][/tex]    

Ahora para determinar la concavidad debemos determinar la segunda derivada de la función (f''(x)). Si f''(x) > 0 la función es concava hacia arriba, si f''(x) < 0 la funcion es concava hacia abajo.

La segunda derivada de f(x) es:

[tex]f''(x)=6x[/tex]        

Por lo tanto:

Es concavo hacia abajo en el intervalo: [tex][-\infty,0)[/tex]

Es concavo hacia arriba en el intervalo: [tex](0,\infty][/tex]

Espero te haya ayudado!

Step-by-step explanation:

p = 2(L+W)

98 < 2(x-2cm + 3x+5cm)

98 < 2x - 4 + 6x + 10

98 < 2x + 6x -4 +10

98 < 8x + 6........the inequality

98 - 6 < 8x

92 < 8x

11.5 < x.......the value of x

Answer:

XDDD

Step-by-step explanation:

Answer:

3k

Step-by-step explanation:

jr9rrirjrhr 4irjrirbrurbir rir rir rir her ror ror ir mirror tir tir the ever tir threw tr her rir her r ror rd jenn lwor rope rope mtn 4 ven kr rke the rurr

Answer:

$62.9 and $98.4

Step-by-step explanation:

Let the cost of tennis shoe be x

Since a jacket cost $35.50 more than a pair of tennis shoe,

Then cost of jacket would be

= $35.50 + x

Total cost of both items would be;

x + $35.50 + x = $161.30

2x = $161.30 - $35.50

2x = $125.8

x = $62.9

Therefore, cost of pair of tennis shoe is $62.9

Jacket cost would now be

= $35.5 + x

= $35.5 + $62.9

= $98.4

Answer:

By factoring

Step-by-step explanation:

4x^2+25=20x then:

4x^2-20x+25=0

factoring:

(2x-5)(2x-5)=0

2x=5, x=2.5

Answer:

1

Step-by-step explanation:

you are rising 1 and running 1 so 1/1 equals 1

Answer:

D

Step-by-step explanation:

translation down is just subtracting a number out side the | x |

Answer:

a.N+3>4

Step-by-step explanation:

Let N be the number

According to question

Sum of N and 3 is given by

N+3

Atleast means greater than or equal to

At-least 4 means greater than or equal to 4

Therefore,

[tex]N+3\geq 4[/tex]

Hence, the inequality for the given sentence is given by

[tex]N+3\geq 4[/tex]

a.N+3>4

Answer:

13

Step-by-step explanation:

This is an application of the pythagorean theorem. Because C is centered at the right angle, AB must be the hypotenuse (I would draw this for you but I don't know how). Thus, we would get sqrt(5^2+12^2)=sqrt(169)=13.

Answer:

x=3.4

y=-6.75

Step-by-step explanation:

5x+4y=-10  (equation 1 )

-5x+3y=-17  (equation 2)

7y=-27

y=-6.75

substitution (equation 1 ) y=-6.75

5x-27=-10

5x=17

x=3.4

Answer:

Step-by-step explanation:To find the better deal divide the price by the weight of each and compare:

1.49 / 120 = 0.012 per gram

0.89/ 100 = 0.0089 per gram

Buying loose is the better deal because the price per gram is smaller

Answer:

2 1/6 yards

Step-by-step explanation:

Nina made 14 curtains of the same length out of 30 1/3 yards of fabric. What is the length of the curtain?

14 curtains = 30 1/3 yards

1 curtain = x yard

Cross Multiply

14 curtains × x yard = 30 1/3 yards × 1 curtain

x yards = 30 1/3 yards × 1 curtain /14 curtains

x yards = 30 1/3 yards /14

x yards = 30 1/3 ÷ 14

x yards = 91/3 × 1/14

x yards = 91/42

x yards = 2 7/42

x yards = 2 1/6 yards

Therefore, the length of the curtain is 2 1/6 yards

Answer: 6 vans

Step-by-step explanation: one of the vans would only have 6 people

Answer:

6 vans! Hope it helps!

Step-by-step explanation:

Step-by-step explanation:

Let's assume that x = number of chickens and y = number of pigs.

[tex]80 \: heads = x + y[/tex]

Since there are 4 feet for pigs and 2 feet for chickens:

[tex]254 \: feet = 2x + 4y[/tex]

By substitution, let's rearrange the first equation:

[tex]x = 80 - y[/tex]

Substituting this equation to the second one:

[tex]254 = 2(80 - y) + 4y \\ 254 = 160 - 2y + 4y \\ 254 - 160 = 2y \\ 94 = 2y \\ y = 47 \: pigs[/tex]

Since we found the number of pigs already, let's substitute the value to any of the equations.

[tex]80 = x + y \\ 80 = x + 47 \\ 80 - 47= x \\ x = 33 \: chickens[/tex]

There are 32 chickens and 48 pigs.

To check if 3e are correct, let's use the second equation:

[tex]254 = 2x + 4y \\ 254 = 2(33) + 4(47) \\ 254 = 66 + 188 \\ 254 = 254[/tex]

Therefore, the values we found are correct.

9514 1404 393

Answer:

  (d)  80y⁶ -10y³

Step-by-step explanation:

You only need to find the highest-degree term of the product to determine the correct answer choice.

That term is the product of the highest-degree terms of the factors:

  (-8y³)(-10y³) = 80y⁶

This matches choice D only.

Answer:

B. (1, 0)

Step-by-step explanation:

9514 1404 393

Answer:

  B.  (1, 0)

Step-by-step explanation:

You can count grid squares on the graph to find the point that is 4 of the 8 units horizontally between the points, and 2 of the 4 units vertically between the points. That will be ...

  C +(4, 2) = D -(4, 2) = (1, 0)

__

Or, you can use the midpoint formula:

  M = (C +D)/2

  M = ((-3, -2) +(5, 2))/2 = (-3+5, -2+2)/2 = (2, 0)/2

  M = (1, 0)

The midpoint is (1, 0).

Answer:

y/8 =5

y/8=5/1

Cross multiply

y/1=5/8

y =40

Answer:

B it seems like it's the most suitable answer

Answer:

5 x ^2  −  3 x  +  2  =  3 x  −  4 x  −  1  =  − x  −  1

Can't explain, cause it will be more confusing.

Answer: 2/5

Step-by-step explanation:

perpendicular to y=2/5x-11 and has a y-intercept of 2. For a line to be perpendicular to another, their slopes must be "negative reciprocal". Therefore we KNOW that the slope is 2/5. also i dont know if you have already solved it but here you go

Answer:

78.54 millimeters

Step-by-step explanation:

A=πr^2

A= 3.14 times 5 millimeter squared

A=78.54

Answer:

$82.5

Step-by-step explanation:

Step one:

Given that the percent of which is 10% amount to $8.25

We can estimate the of the Jeans as

Step two

Let the cost be x

10 percent of x= 8.25

10/100*x=8.25

0.1x=8.25

Divide both sides by 0.1 to get the value of x

x=8.25/0.1

x=$82.5

The cost of the jeans is

$82.5

just cheat dawg sometimes you got to cheat