The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.


A.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –23; n + 4 = –25; n + 6 = –27

B.
n + (n – 2) + (n – 4) + (n – 6) = –72; n = – 21; n – 2 = –23; n – 4 = –25; n – 6 = – 27

C.
n – (n + 2) – (n + 4) – (n + 6) = –72; n = –20; n + 2 = –18; n + 4 = –16; n + 6 = –14

D.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –19; n + 4 = –17; n + 6 = –15

Answer:

24:8

Step-by-step explanation:

Given the following data;

Batch = eggs + sticks of butter

4 batches = 12:4

8 batches = 2 * 4 batches

Therefore, 8 batches = 2*(12:4)

8 batches = 24:8

Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.

Answer:

Step-by-step explanation:

the answer is 24:8

No it is not equivalent

Answer: yes

Step-by-step explanation:

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

Answer:

x-intercept(s):  ( 4 3 , 0 ) y-intercept(s):  ( 0 , 6 )

Step-by-step explanation:

Step-by-step explanation:

5x+2y =4

5x= 4-2y

x= 4-2y/5

Answer:

the answer is discrete

this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend

Step-by-step explanation:

Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

Answer:

12 yards

Step-by-step explanation:

you subtract negative 8 and 4 and it gives you twelve yards of the play

Answer:

-11n

Step-by-step explanation:

You have to combine like terms

BRAINLIEST PLEASEE

Answer:

I don't know the answer but you can type it in on demos

Answer:

The value of x = 0

Step-by-step explanation:

Got a 5/5 on Plato

Answer:

The coefficient of 7x is 7

Answer: x = 5

Step-by-step explanation:

Based on the information, the number is x= 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Consider that the number be x.

Given that;

Tripling the number we get = 3x.

On subtraction from 28, the equation will be: 28 - 3x.

Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.

Now equating these two equations as;

28 - 3x = 2x + 3

Rewriting the equation as;

3x + 2x = 28 - 3

Now, addition on Left Hand Side and subtraction on Right and Side

5x = 25

x = 25 ÷ 5

Performing division on Right Hand Side, we get;

x = 5

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Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle [tex]ABE[/tex].

[tex]\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}[/tex]

[tex]\tan76^{\circ}=\dfrac{AE}{BE}[/tex]

[tex]AE\approx 4.01\times 354[/tex]

[tex]AE\approx 1419.54[/tex]

The height air balloon is 1419.54+95 =1514.54 ft

Hence, the height of the hot air balloon is 1514.54 feet approximately.

9514 1404 393

Answer:

Step-by-step explanation:

We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...

  volume = y(y² +6y -16)

Now, we're looking for factors of -16 that have a sum of +6.

  -16 = (-1)(16 = (-2)(8) = (-4)(4)

The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...

  volume = y(y -2)(y +8)

The possible dimensions are y-2, y, and y+8.

Answer:

15

Step-by-step explanation:

10/4 simplified is

5/2 multiply this by 3

15/6

Step-by-step explanation:

I suggest you to use calculator for this to avoid careless mistakes

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

The answer is B

Step-by-step explanation:

✌

Answer:

B

Step-by-step explanation:

You can substitute the variables for the values!

7x = 21

3y = -6

2x = 6

y = -2

21 - (-6)

----------

6 + (-2)

27

----

4

Answer:

We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

Step-by-step explanation:

From the coordinate plane, we can clearly identify that:

The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:

[tex]d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between (-8, 9) and (-4, 2)

[tex]d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{4^2+7^2}[/tex]  

   [tex]=\sqrt{16+49}[/tex]

    [tex]=\sqrt{65}[/tex]

    [tex]=8.06[/tex] miles

Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

9514 1404 393

Answer:

  1. yes

  2. no

Step-by-step explanation:

We can label the equations [1] and [2] to make the transformations to the equivalent system easier to describe.

1. The equivalent system is [1] +[2] and 2×[1]. Both of these are described as allowed transformations.

  [1] +[2] is (-x +2y) +(-3x +9y) = (10) +(-15)  ⇒  -4x +11y = -5

  2×[1] is 2(-x +2y) = 2(10)  ⇒  -2x +4y = 20

These resulting equations match the ones proposed for the equivalent system.

  yes, the systems are equivalent

__

2. The first equation of the proposed "equivalent" system is [1] +[2]. The second equation has no relation to the equations of the given system.

  [1] +[2] = (-2x +3y) +(-11x -13y) = (14) +(-6)  ⇒  -13x -10y = 8

  no, the systems are not equivalent

(This is also shown in the attached graph. The original system is in red; the "equivalent" system is in green. Equivalent systems have the same solution. These do not.)

Answer:

[tex]A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}[/tex]

Step-by-step explanation:

Given: [tex]\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}[/tex], [tex]\text{A}=\left \{\text{q, s, u, w, y} \right \}[/tex], [tex]\text{B}=\left \{\text{q, s, y, z} \right \}[/tex],

[tex]\text{C}=\left \{\text{v, w, x, y, z} \right \}[/tex].

To find: The elements in the set [tex]A \cup C[/tex].

Solution:

We have,

[tex]\text{U}=\left \{\text{q, r, s, t, u, v, w, x, y, z} \right \}[/tex]

[tex]\text{A}=\left \{\text{q, s, u, w, y} \right \}[/tex]

[tex]\text{B}=\left \{\text{q, s, y, z} \right \}[/tex]

[tex]\text{C}=\left \{\text{v, w, x, y, z} \right \}[/tex]

Now, [tex]A \cup C[/tex] will contain all the elements in the set [tex]A[/tex] and all the elements in set [tex]C[/tex].

So, [tex]A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}[/tex].

Hence, [tex]A \cup C=\left \{ \text{q, s, u, v, w, x, y, z} \right \}[/tex].

Answer:

1

Step-by-step explanation:

Let's solve your equation step-by-step.

6=3x+3

Step 1: Flip the equation.

3x+3=6

Step 2: Subtract 3 from both sides.

3x+3−3=6−3

3x=3

Step 3 divide 3/3 = 1

x=1

Answer:

3

Step-by-step explanation:

The X values are the domain, and when x is -1, it says that y is 3, and y is the range.

Answer:

3

Step-by-step explanation:

Formula: y = -2x + 1

9514 1404 393

Answer:

  3479

Step-by-step explanation:

Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...

  11000 · 0.316289 ≈ 3479

Answer:

p - 25

Step-by-step explanation:

Given :

Discount = 25 dollars off

Regular price = p

Sale price in dollars :

Regular price - discount

p - 25

Answer:

*8

Step-by-step explanation:

6.75*8=54

Answer:

8

Step-by-step explanation:

..…..............…...

Answer:

a) El valor de la proporción de la población = 0.3

b) El intervalo de confianza de 99% de la proporción poblacional = [0.2685, 0.3315]

c) Interprete sus conclusiones.

De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".

Step-by-step explanation:

a) Halla el valor de la proporción de la población.

El valor de la proporción se calcula mediante la fórmula

p = x / n

donde x = 420

n = número de muestras = 1400

Proporción (p) = 420/1400

= 60/200 = 30/100 = 3/10

= 0.3

b) Construya el intervalo de confianza del 99% para la proporción de población.

La fórmula para el intervalo de confianza para la proporción de población =

p ± z × √p (1 - p) / n

p = 0.3

z = puntuación z para un intervalo de confianza del 99% = 2.576

n = 1400

Por lo tanto:

Intervalo de confianza del 99% = 0.3 ± 2.576 × √0.3(1 - 0.3) / 1400

= 0.3 ± 2.576 × √0.3× 0.7 / 1400

= 0.3 ± 2.576 × 0.0122474487

= 0.3 ± 0.0315494279

Intervalo de confianza del 99% =

0.3 - 0.0315494279

= 0.2684505721

Aproximadamente ≈ 0.2685

0.3 + 0.0315494279

= 0.3315494279

Aproximadamente ≈ 0.3315

Por lo tanto, el intervalo de confianza del 99% = [0.2685, 0.3315]

c) Interprete sus conclusiones.

De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".

Answer:

Tangent Inverse Function

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

t=18.7

Step-by-step explanation:

After 19.2 year the account reach $45,600.

The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.

We have,

P =$16, 000

R= 5.6%

Future value = $45, 600.

Now, using

16,000 (1 + 5.6%[tex])^x[/tex] = 45,600

(1 + 5.6%[tex])^x[/tex] = 2.85

Taking log on both side we get

x log (1.056) = log (2.85)

x= 19.2

Thus, the time taken is 19.2 years.

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Answer: 150 wpm

Step-by-step explanation:

if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.

1500/10 = 150