Base your answer on Betty is thinking of two consecutive integers whose sum is 41.

Write and solve the equation that represents the sum of the two numbers. Let represent the smaller unknown integer .

Answer:

Area=201.6^2

Step-by-step explanation:

Answer:

The answer is most likely 174.68

Step-by-step explanation:

Using the formula A = (2A_B) + (a + b + c)(h)

we can find the surface area

12 is a and c

5 is b

4 is h

This question was vague so the answer might be incorrect.

Answer:

Se puede resolver el sistema de ecuaciones por sustitución, igualación o determinante. La solución de este sistema es [tex](x,y) = \left(2,\frac{3}{5} \right)[/tex].

Step-by-step explanation:

Sea el sistema de ecuaciones que se describe abajo:

[tex]x+5\cdot y = 5[/tex] (1)

[tex]3\cdot x -5\cdot y = 3[/tex] (2)

Existen por lo menos tres métodos analíticos para la resolución de este sistema de ecuaciones:

(i) Sustitución

Despejamos [tex]x[/tex] en (1):

[tex]x = 5-5\cdot y[/tex]

Aplicamos la expresión resultante en (2):

[tex]3\cdot \left(5-5\cdot y\right)-5\cdot y = 3[/tex]

Luego, resolvemos la ecuación resultante:

[tex]15 - 15\cdot y -5\cdot y = 3[/tex]

[tex]-20\cdot y = -12[/tex]

[tex]y = \frac{3}{5}[/tex]

Luego, determinamos el valor de [tex]x[/tex]:

[tex]x = 2[/tex]

(ii) Igualación

Despejamos [tex]5\cdot y[/tex] en cada expresión:

[tex]5\cdot y = 5 - x[/tex] (3)

[tex]5\cdot y = 3\cdot x - 3[/tex] (4)

Ahora, igualamos (3) y (4) y simplificamos:

[tex]5-x = 3\cdot x -3[/tex]

[tex]4\cdot x = 8[/tex]

[tex]x = 2[/tex]

Finalmente, calculamos [tex]y[/tex] en (3):

[tex]y = 1 - \frac{x}{5}[/tex]

[tex]y = \frac{3}{5}[/tex]

(iii) Determinante

Aplicamos las siguientes fórmulas para determinar cada variable:

[tex]x = \frac{\left|\begin{array}{ccc}5&5\\3&-5\end{array}\right| }{\left|\begin{array}{ccc}1&5\\3&-5\end{array}\right|}[/tex]

[tex]x = \frac{-25-15}{-5-15}[/tex]

[tex]x = 2[/tex]

[tex]y = \frac{\left|\begin{array}{ccc}1&5\\3&3\end{array}\right| }{\left|\begin{array}{ccc}1&5\\3&-5\end{array}\right|}[/tex]

[tex]y = \frac{3-15}{-5-15}[/tex]

[tex]y = \frac{3}{5}[/tex]

Por ende, concluimos que la solución de este sistema es [tex](x,y) = \left(2,\frac{3}{5} \right)[/tex].

La solución de la ecuación x + 5y = 5 y 3x - 5y = 3 es (2, 0.6)

Ecuación

Una ecuación es una expresión utilizada para mostrar la relación entre dos o más números o variables.

Dadas las ecuaciones:

x + 5y = 5 (1)

Y:

3x-5y = 3 (2)

Resolviendo ambas ecuaciones 1 y 2 simultáneamente da:

x = 2, y = 0,6

La solución de la ecuación x + 5y = 5 y 3x - 5y = 3 es (2, 0.6)

Obtenga más información sobre la ecuación en: https://brainly.com/question/13763238

Answer:

Equation: 112+x=180

Value of x: x=68

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

[tex]Height = 7in[/tex]

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

[tex]a = 1in[/tex] -- side length of the octagon

The area is then calculated as:

[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]

So, we have:

[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]

[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]

[tex]Area = 2 * (1 + \sqrt 2)[/tex]

Evaluate the square root

[tex]Area = 2 * (1 + 1.414)[/tex]

[tex]Area = 2 * (2.414)[/tex]

[tex]Area = 4.828[/tex]

The volume is then calculated as:

[tex]Volume = Height * Base\ Area[/tex]

[tex]Volume = 7 * 4.828[/tex]

[tex]Volume = 33.796[/tex]

Answer:

287 is the right answer

Step-by-step explanation:

Hopes this helps.

Answer: m<DCB= 50 degrees

Step-by-step explanation:

120= (15x+5)+(22x+4)

120= 37x+9

111= 37x

x=3

15(3)+5

45+5=

50

Answer:

a) [tex]p = 88\,cm[/tex], b) [tex]p = 24\,cm[/tex], c) [tex]p \approx 25.424\,m[/tex], d) [tex]p \approx 39.368\,cm[/tex]

Step-by-step explanation:

a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:

[tex]p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm[/tex]

[tex]p = 88\,cm[/tex]

b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:

[tex]p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm[/tex]

[tex]p = 24\,cm[/tex]

c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:

[tex]p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm[/tex]

[tex]p \approx 25.424\,m[/tex]

d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:

[tex]p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}[/tex]

[tex]p \approx 39.368\,cm[/tex]

Answer:

m<2 is 17 degrees

Step-by-step explanation:

We can see that the angle at the vertex E was bisected to give two different but equal angles

Thus, we have it that;

2x + 7 = 4x-3

4x-2x = 7+ 3

2x = 10

x = 10/2

x = 5

so m<2 = 4(5) -3 = 20-3 = 17 degrees

Answer:

9.) The Outlier is 18

-The outlier is the number that stands out and is different

Answer:

x=3

Step-by-step explanation:

If all of the angles and sides are congruent, then you would just subtract 7 by 4 and get 3 for x.

Answer:

x=1.7

Step-by-step explanation:

sin20=x/5

x=5sin20

x=1.7

Answer:

3x² + 13

Step-by-step explanation:

f(2) = 2(2)² + 3(2) - 9 = 8+6-9 = 5

g(x) = 3x² + 8

added together: 3x² + 8 + 5   =  3x² + 13

Answer:

I think so

Step-by-step explanation:

Please mark brainliest and I will give you a good report

Step-by-step explanation:

So in order to solve, you have to set the equation equal to zero by subtracting 27 from both sides. You'll end up with x^2 + 6x -27 = 0.

Now, we can use the quadratic formula to solve.

I attached it below.

Your a value will be 1, the b value is +6, and the c value is -27.

Plug into the formula and then solve. :)

Answer:

7x+2

Step-by-step explanation: No spaces.

(3x−8)+(4x+10)

Remove parentheses

=> 3x−8+4x+10

Add like terms

=> 3x−8+4x+10

=> 3x+2+4x

=> 7x+2

hope this helps. p.s. i really need brainliest :)

Answer:

A reflection over the x axis

Step-by-step explanation:

With the x axis you flip it down or up

With the y you flip it to the left or to the right

Step-by-step explanation:

n/6 > 2

x6. x6

n > 12

hope this helps

Answer:

[tex]h = 34 \times \sin(27) + 5 = 15.43 + 5 = 20.43[/tex]

Answer:

81pi

Step-by-step explanation:

pi3^2=9pi

9pi * 9 = 81pi

Answer:

254.34 un³

Step-by-step explanation:

π × 3² × 9

π × 9 × 9

3.14 × 9 × 9

254.34

Answer:

irrational

Step-by-step explanation:

pi is irrational, so even thought sqrt(4) is rational, this product is irrational.

Answer:

15x - 8

Step-by-step explanation:

hope it helps

15x^2+14x-8

Hope this helped ψ(｀∇´)ψ

Answer:

  A (-2, 5)

Step-by-step explanation:

The attached shows the rectangle and the offered points. The point not on the rectangle is A(-2, 5).

__

If we examine the coordinates, we see that the y-values must be -2 or 3 for a point to be on the rectangle. Similarly, the x-values must be -2 or 5.

The offered point A has an appropriate x-value, but not an appropriate y-value. Point A is not on the rectangle.

Answer:

Percent markup is 200%

Step-by-step explanation:

The cost of each stylus is

[tex]\frac{400}{200} = 2[/tex] dollars

The selling price of each stylus is $6

Percent markup  =

(Selling price - cost price)/cost price *100

[tex]\frac{6-2}{2} *100\\2*100\\200[/tex]%

Percent markup is 200%

Answer:

Im pretty sure its 18.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:

[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

Answer:  5(13.5-4.5)

5(9)

=45

The mean absolute deviation of the list of numbers is 16.4. The correct answer is C.

To find the mean absolute deviation (MAD) of the list of numbers, we follow these steps:

Step 1: Calculate the mean (average) of the numbers in the list.

Mean = (34 + 12 + 49 + 8 + 2) / 5 = 105 / 5 = 21

Step 2: Find the absolute deviation for each number by subtracting the mean from each number and taking the absolute value.

Absolute Deviations: |34 - 21| = 13, |12 - 21| = 9, |49 - 21| = 28, |8 - 21| = 13, |2 - 21| = 19

Step 3: Calculate the average (mean) of the absolute deviations.

Mean of Absolute Deviations = (13 + 9 + 28 + 13 + 19) / 5 = 82 / 5 = 16.4

Therefore, the mean absolute deviation of the list of numbers is 16.4. The correct answer is C.

for such more question on mean

https://brainly.com/question/14532771

#SPJ11

Answer:

95.60$

Step-by-step explanation:

50% discount is basically the price divided by 2. So if we inverse it it will become x2. 47.80x2=95.6

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms

r = [tex]\frac{384}{512}[/tex] = [tex]\frac{288}{384}[/tex] = [tex]\frac{216}{288}[/tex] = [tex]\frac{3}{4}[/tex] , then recursive formula is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex] : a₁ = 512