This figure is made up of two rectangular prisms.

What is the volume of the figure?

Enter your answer in the box.

Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x

Table 1:

y = k × x

30 = k × 5

30 = 5k

k = 30/5

k = 6

So,

y = 30

y = 30 k = 6

y = 30 k = 6x = 5

y = 30 k = 6x = 5Equation: y = 6x

y = k × x

y = 10 × 8

y = 80

So,

y = 80

y = 80 k = 10

y = 80 k = 10x = 8

y = 80 k = 10x = 8Equation: y = 10x

y = 3x

18 = 3x

x = 18/3

x = 6

So,

y = 18

y = 18k = 3

y = 18k = 3x = 6

y = 18k = 3x = 6Equation: y = 3x

y = 2x²

72 = 2x²

x² = 72/2

x² = 36

x = √36

x = 6

So,

y = 72

y = 72k = 2

y = 72k = 2x = 6

y = 72k = 2x = 6Equation: y = 2x²

Table 2:

y = k/x

5 = k/6

5 × 6 = k

30 = k

So,

y = 5

y = 5k = 30

y = 5k = 30x = 6

y = 5k = 30x = 6Equation: y = 30/x

y = k/x

y = 36/4

y = 9

So,

y = 9

y = 9k = 36

y = 9k = 36x = 4

y = 9k = 36x = 4Equation: y = 36/x

y = 60/x

20 = 60/x

20x = 60

x = 60/20

x = 3

So,

y = 20

y = 20k = 60

y = 20k = 60x = 3

y = 20k = 60x = 3Equation: y = 60/x

y = 24/x

y = 24/12

y = 2

So,

y = 2

y = 2k = 24

y = 2k = 24x = 12

y = 2k = 24x = 12Equation: y = 24/x

Read more:

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Answer:

x=6.7

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for x:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(31^\circ)=\frac{x}{13}[/tex]

[tex]13sin(31^\circ)=x[/tex]

[tex]x=13sin(31^\circ)[/tex]

[tex]x\approx6.7[/tex]

So, the opposite side is about 6.7 inches

Answer:

y = 44

Step-by-step explanation:

First, add 2 on both sides to get y/4 = 11, then multiply 4 on both sides to get y = 44.

Hope this helps :)

Answer:

3

Step-by-step explanation:

because 3 is a prime number and 3+2=5 which is also a prime number

Answer:

276 guests

Step-by-step explanation:

Let the number of guests be n.  We are to find the value of n.

Then (1/3)n + (5/12)n + 69 = n, or

                (9/12)n + 69 = n or (12/12)n

Solving for n, we get    (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276

There were 276 guests at the wedding.

Check:  Does (1/3)(276) + (5/12)(276) + 69 work out to 276?  yes

Answer:

x=[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

1/2x - 5 = 10 - 3/4x

4x/2x - 5 × 4x = 10 × 4x - [tex]\frac{3 x 4x}{4x}[/tex]

2 -5 × 4x = 10 × 4 - 3

2 - 20x = 40x - 3

-20x - 40x = -3 - 2

-60x = -3 - 2

-60x = -5

x = [tex]\frac{-5}{-60}[/tex]

x = [tex]\frac{1}{12}[/tex]

if u look at it and and which ones have more then u will get ur answer

Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

In the given functions which are in the form of ax²+bx+c=0 such functions are considered as quadratic function.

The highest power of the variable x should be two.

f(x)=5² is not a quadratic function.

f(x) = 2/x is not a quadratic function.

f(x)=3(x-4)(x+3)

Let us simplify the function

f(x)=3(x²+3x-4x-12)

=3(x²-x-12)

f(x)=3x²-3x-36

So f(x)=3(x²+3x-4x-12) is a quadratic function.

Hence, Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

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Answer:

x≤1

Step-by-step explanation:

7≥3x+4

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo. Esto cambia la dirección de la señal.

3x+4≤7

Resta 4 en los dos lados.

3x≤7−4

Resta 4 de 7 para obtener 3.

3x≤3

Divide los dos lados por 3. Dado que 3 es >0, la dirección de desigualdad sigue siendo la misma.

x≤  

3

3

​

Divide 3 entre 3 para obtener 1.

x≤1

Answer:

y=20x

Step-by-step explanation:

You have to find the cost by dividing the amount of money by the amount of students, to see house much each student paid. You are finding the unit price. Which is 20 because...

1.580/79=20

In conclusion,

Each student paid $20

Answer:

B. 2.786 x 10 ^ 7

Step-by-step explanation:

For scientific notation you have 1 number to the left of the decimal point and 10 gets raised to the power of the number of decimal places it takes to get that one number.

Answer:

a

Step-by-step explanation:

Answer:

It is number 1

Step-by-step explanation:

I tried it.

Answer:

-1

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

 = ( 10-5)/(-2-3)

  =5/-5

  = -1

Answer:

No solution

Step-by-step explanation:

multiplying both sides by 2 gives |x|=-6 but an absolute value can't be negative so there are no solutions

see more at: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/a/intro-to-absolute-value

Answer:

horizontal line: y = 7

vertical line: x = 1

Step-by-step explanation:

Answer:

There are 24,572 men.

Step-by-step explanation:

Let men = m, let women = w.

m + w = 53,444

w = 4300 + m

m + (4300 + m) = 53,444

m + m + 4300 = 53,444

2m + 4300 = 53,444

2m = 53,444 - 4300

2m = 49144

m = 49144/2

m = 24,572

Answer:

yes

Step-by-step explanation:

because 8213 its come to 10000 also

Answer:

a^4

Step-by-step explanation:

First evaluate the quantity inside the parentheses:  (a^(-3)).

Then raise this result to the power -1:

(a^(-3))^(-1) = a^4

Answer:

a^3

Step-by-step explanation:

1/a^-1 a^-2

a^-1a^-2= a^-3

1/a^-3

1/1/a^3

a^3/1

a^3

Answer:

6 eggs

Step-by-step explanation:

since recipe states that to make 12 muffins you need 2 muffins

2. = 12

represent the unknown with x

2. = 12

x. = 36

Then you'll cross multiply

36 × 2 = 72

12x = 72

x = 72 ÷ 12

x = 6

Answer:

A. True

B. True

C. False

D. True

E. False

Step-by-step explanation:

A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs

B. True, as y = f(x)

C. False, as there is no exponents

D. True, as if x=1, you lose 2 points

E. False, as x is the number of wrong problems

Answer:

1.6

Step-by-step explanation:

5/8 = .625

1/.625 = 1.6

.625* 1.6 = 1

Answer:

8/5.

Step-by-step explanation:

That is the inverse of 5/6:- 8/5.

Answer:

(-1,-1) I think

Answer:

x= (p+10)/5

Step-by-step explanation:

first you take the peaches and add 10, p+10, and then divide by 5

Answer:

(p + 10)/5

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:a

Step-by-step explanation:

i know

Answer:

The answer is option 4., but this question does not belong in the math section.

Answer:

you're right, d measures 180 degrees

Step-by-step explanation:

the protractor is measuring a straight line and straight lines measure 180 degrees

hope this helps