The sum of 3 consecutive odd integers is 411. State the values of the integers.

Answer:

f = 6, g = 8

Step-by-step explanation:

The area of Δ ADE = 60 - 48 = 12 cm²

Thus

[tex]\frac{1}{2}[/tex] AD × 4 = 12, that is

2AD = 12 ( divide both sides by 2 )

AD = 6 = f

The area of ABCD = 48 cm² , thus

fg = 48 , that is

6g = 48 ( divide both sides by 6 )

g = 8

Thus f = 6 and  g = 8

Answer:

$80.63

Step-by-step explanation:

250 USD is equal to 221.41 euros. 221.41-150=71.41. 71.41 euros converted to USD is equal to 80.63 USD.

Answer: D

Step-by-step explanation:

Answer:

w = -7z/2

Step-by-step explanation:

We need to solve for w in terms of z.

The equation given is:

5w + 9z = 2z + 3w

Collect like terms:

5w - 3w = 2z - 9z

2w = -7z

w = -7z/2

Answer:

option A (-7/2z)

Step-by-step explanation:

Answer:

a. 2.5  

b. 2.333

c. 2.85

Step-by-step explanation:

A) 1. subtract -x on both sides              2. to get 3x-1/2=7  

3. Add 1/2 on both sides                    4. to get 3x=7.5    

5. divide 3 on both sides                   6. To get... x=2.5

B)1. Same process.                               2. x+2=13/3        

3. x=13/3-2                                         4. x= 2.33(repeating)

C) 1. same process.                           2. 2x-x/3=3+7/4

3. 2x-x/3=4.75                                  4. Isolate -x/3  

5.-x/3=4.75-2x                                    6. multiply both sides by 3          

7. -x=14.25-6x                                      8. 5x=14.25

9. x= 2.85

* remember to distribute the 3 to each variable.

Answer: 70% = 7/10

Percent means amount out of a hundred. That means

70% = 7/10

This may be simplified to get 7/10

Hope this helps...

Have a good day and stay safe <3

Answer:

70% as fraction is 7/10

Step-by-step explanation:

This is the correct answer because if you do 70% by 100% it will be 70/100. If you want it in the simplest form then just write it 7/10. If you don't want the simplest form write 70/100.

Answer:

no solutions

Step-by-step explanation:

−2(x−7)+3(x+5)=x+9

Distribute

-2x +14 +3x +15 = x+9

Combine like terms

x + 29 = x+9

Subtract x from each side

x+29 -x = x+9-x

29 = 9

This is never true so there are no solutions

Answer:

It is wrong Problem

Step-by-step explanation:

-2x+14+3x+15=x+9

x+29=x+9

????

Answer:

The 99th tower contains 9900 blocks.

Step-by-step explanation:

From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:

n + n²

Now let us use the diagram to validate the idea.

Tower 1:

n = 1

Number of blocks = 1 + 1² = 2

Tower 2:

Number of blocks = 2 + 2² = 6

Tower 3:

Number of blocks = 3 + 3² = 12

Using same idea, we can obtain the number of blocks in the 99th tower as follow:

Tower 99:

n = 99

Number of blocks = 99 + 99² = 9900

Therefore, the 99th tower contains 9900 blocks.

Answer:

9 is the greater x and 2 is the lesser x

Step-by-step explanation:

I really don't know how to explain without simply writing it out for you, which I really can't do. But there's the answer lol

Answer:

x = 2, x = 9

Step-by-step explanation:

Given

x² - 11x + 18 = 0

Consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (- 11)

The factors are - 9 and - 2 , since

- 9 × - 2 = + 18 and - 9 - 2 = - 11 , thus

(x - 9)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2 ← lesser value

x - 9 = 0 ⇒ x = 9 ← greater value

Answer:

7 hours

Step-by-step explanation:

(62-13)/7=7

Answer:

h(11) = -20 + 11 * 11 = 101

Answer:

h(11)=101

Step-by-step explanation:

This question asks us to find h(11).

Essentially, we need to find h(t) or y, when t, or x, is equal to 11.

h(t)=-20+11t

Therefore, we can substitute 11 in for every t.

h(11)= -20+11(11)

Solve according to PEMDAS( Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

Multiply 11 and 11 first.

h(11)= -20 +121

Add 121 and -20

h(11)=101

No, because SSA isn't a triangle congruence theorem. Therefore, option A is the correct answer.

Given that, the figure shown models a roof truss. Based on the markings, is there enough information to prove that ΔCED≅ΔCGD.

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

In the ΔCED and ΔCGD

DE=DG (Given)

∠CED=∠CGD (Given)

CD=CD (Common)

SSA congruence is not valid.

No, because SSA isn't a triangle congruence theorem. Therefore, option A is the correct answer.

To learn more about the congruence of a triangle visit:

https://brainly.com/question/20521780.

#SPJ2

Answer:

Average

Step-by-step explanation:

If a and b are the lengths of the bases, then a+b/2 is the length of the midsegment of the trapezoid.

Answer:

about 30.26

Step-by-step explanation:

tan-1 7/12 = 30.26

Answer:

No, if 4 teachers chose 24 students from 1 class to go then the teachers will not be 25% of the passengers.

Step-by-step explanation:

Given: If 4 teachers chose 24 students from 1 class to go then the teachers will be 25% of the passengers.

To find: if the given statement is correct or not

Solution:

Total number of teachers = 4

Total number of students = 24

Total number of passengers = Total number of teachers + Total number of students = 4 + 24 = 28

Here,

25% of Total number of passengers = [tex]\frac{25}{100}(28)=7\neq 4[/tex]

So, if 4 teachers chose 24 students from 1 class to go then the teachers will not be 25% of the passengers.

Answer:

414 9/16 m³

[tex]414\frac{9}{16}m^{3}[/tex]

Step-by-step explanation:

The volume of a Rectangular prism is calculated as Length × Width × Height

From the attached diagram,we can see that

The length = 8 3/8 m

The width = 6 m

The height =8 1/4 m

Converting the mixed fraction to improper fraction in other to simplify it better

The length = 67/8 m

The height = 33/4 m

The volume of the rectangular prism =

67/8 m × 6m × 33/4m

= (13266/32)m³

= 6633/16 m³

= 414 9/16 m³

= [tex]414\frac{9}{16}m^{3}[/tex]

Answer:

1/2 litros es igual a la capacidad que le pidió su mamá.

Step-by-step explanation:

Para encontrar la respuesta debes escribir 0.5 como fracción. Para hacerlo, el numerador es el número original sin el punto decimal y para definir el denominador debes determinar cuántos digitos decimales tienes. En este caso, el número tiene un dígito decimal, por lo cual el denominador es 10. De acuerdo a esto:

0.5 se escribiría como [tex]\frac{5}{10}[/tex] y esta fracción se puede simplificar porque los dos números son divisibles entre 5:

5/5= 1

10/5= 2

Por esto, 0.5= [tex]\frac{1}{2}[/tex]

Esto significa que 1/2 litros es igual a la capacidad que le pidió su mama.

Step-by-step explanation:

There are 4 * 4 = 16 outcomes from spinning these spinners. You get an odd number by multiplying an odd number by an odd number. Since there are 2 odd numbers on both spinners the successful outcomes are 2 * 2 = 4 so probability is 4 / 16 = 1 / 4.

Answer:

5x+30

Step-by-step explanation:

simply add each side together:

(x+13)+(3x+2)+8+2+(x+5)

=5x+30

Answer:

6 : 5

Step-by-step explanation:

Each set takes Krutika 72 minutes.

Each set takes Natasha 1 hour.

Let us convert that to minutes:

1 hour = 60 minutes

Therefore, expressing the times it takes Krutika and Natasha as a ratio:

72 : 60

Divide by 6

12 : 10

Divide by 2

6 : 5

The ratio is 6 : 5

Answer:

A

Step-by-step explanation:

The completing the square method is important when transforming a quadratic equation to [tex](x - a)^2 =b[/tex] form. The values of a and b are 4 and 3

Given:

[tex]x^2 - 8x + 13 = 0[/tex]

Subtract 13 from both sides

[tex]x^2 - 8x + 13 -13= 0-13[/tex]

[tex]x^2 - 8x= -13[/tex]

-------------------------------------------------------------

Next, we perform the following operations

Take the coefficient (k) of x

[tex]k = -8[/tex]

Divide k by 2

[tex]k/2 = -8/2[/tex]

[tex]k/2 = -4[/tex]

Square both sides

[tex](k/2)^2 = (-4)^2[/tex]

[tex](k/2)^2 = 16[/tex]

Back to the equation, we add 16 to both sides

-------------------------------------------------------------

[tex]x^2 - 8x= -13[/tex]

[tex]x^2 - 8x + 16 = -13 +16[/tex]

[tex]x^2 - 8x + 16 =3[/tex]

Expand the left-hand side

[tex]x^2 - 4x -4x+ 16 =3[/tex]

Factorize

[tex]x(x - 4) -4(x- 4) =3[/tex]

Factor out x -4

[tex](x - 4) (x- 4) =3[/tex]

Express as squares

[tex](x - 4)^2 =3[/tex]

Given that:

[tex](x - a)^2 =b[/tex]

By comparison:

[tex]a =4;\ b =3[/tex]

The values of a and b are 4 and 3, respectively.

Read more at:

https://brainly.com/question/9339531

Answer: ijiijijijijijijiijij

Step-by-step explanation:

okjopunnounpoino

Answer:64

Step-by-step explanation: because 2 multiplied by 2 is 4 four multiplied by 2 is eight as the pattern continues 32 multiplied by 2 is 64.

Answer:

2+2=4

4+4=8

8+8=16

16+16=32

32+32=64

Answer:

1=0.70  2=0.25  3=-0.30  4=0.125  5=0.233333333 6=0.636363636 7=-0.6

Step-by-step explanation:

Calculator and anything over 10, just move the decimal back one space!

Answer:

x= 14

Step-by-step explanation:

Please see the attached picture for the full solution.

*First step is base angles of triangle ABC

Answer:

Using the area of a circle equation (shown in work) the answer should be 176.71cm^2

Step-by-step explanation:

Ani will put this in a translator

Step-by-step explanation:

These are complementary angles.

If two angles are complementary, then

the sum of their measures is 90°.

Since we know that one of the angles measures 35°, we can find the measure of the other by taking 90 minus the measure of the original angle which in this case is 90 - 35.

So we have 90° - 35° which is 55°

So the measure of the other angle is 55°

Answer: y=4

Step-by-step explanation:

This is a 45-45-90 triangle. It is also a special triangle. The hypotenuse is x√2. X is sommon through all 3 sides. The legs of the triangle are x in length each.

Looking at the picture, we see the hypotenuse is equal to 4√2. We can set this equal to the hypotenuse to find what x is.

4√2=x√2

x=4

Since we know that the legs of the triangle are both equal to x, we knoe that y=4.