the inequality -3n<12 is equivalent to

a. n < 4
b. n < -4
c. n > 4
d. n > -4
e. n > 36

The shape is 2 triangles. Find the area of each one and add them together.

1/2 x 6 x 10 = 30

1/2 x 10 x 12 = 60

30 + 60 = 90

Area = 90 square inches

Area of Trapezoid = ½ (a + b) h

= ½ (12 + 6) 10

= ½ × 18 × 10

= 1 × 9 × 10

= 9 × 10

= 90 in.²

y is given already

[tex]\\ \rm\Rrightarrow 2x-6=2[/tex]

[tex]\\ \rm\Rrightarrow 2x=2+6[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{8}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

Answer:

x = 4; y = 6

Step-by-step explanation:

Set the x-values equal to each other and the y-values equal to each other.

The first value in parentheses is an x-value, and the second value in parentheses is a y-value.

x - 2 = 2x - 6

Subtract x from both sides

-2 = x - 6

Add 6 to both sides to get x by itself on the right.

-2 + 6 = x

4 = x

y - 3 = 3

Add 3 to both sides

y = 6

Check answers for the x-value:

4 - 2 = 2(4) - 6

2 = 8 - 6

2 = 2

Check answers for the y-value:

6 - 3 = 3

3 = 3

Answer:

Step-by-step explanation:

we need to keep in mind that what you do to the bottom of the fraction is the same you do to the top of the fraction

Answer:

11/3

Step-by-step explanation:

-12/3 = -4

-4 + x = -1/3

X = -1/3 + 4

X = (-1+12)/3 = 11/3

11/3 + -12/3 = -1/3

Answer:

Step-by-step explanation:

The rotation or reflection will change the direction of the image but the translation will leave the corresponding sides parallel.

Now the answer choices:

If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU are not necessarily parallel.

If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS must be parallel or on the same line.

If quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not necessarily parallel or on the same line.

If quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides RS and T'U must be parallel.

Given : The perimeter of a rectangular atrium is 64 centimeters. The length of the garden is 3 times the width. Find the length and the width.

Solution :

Let us assume the breadth be B

The length is three times the breadth So, the length be 3B

Perimeter of the rectangle = 64 cm

Perimeter = 2(Length + Breadth)

64 cm = 2(3B + B)

64 cm = 2(4B)

64 cm = 8B

B = 8 cm

Answer:

S.P = 225

Explanation:

Cost Price = 20 copies for Rs. 25

Selling price = 20 copies for ?  

Profit = Rs. 200

Profit = S.P -C.P

Profit + C.P = S.P

200 + 25 = S.P

225 = S.P

Answer:

the correct answer is

Line segment X Z

Answer:

Line segment X Z

Step-by-step explanation:

Answer: x = 8

Step-by-step explanation:

Given

(1/3) (3x + 6) + 2x = 26

Expand parentheses and apply the distributive property

(1/3) · 3x + (1/3) · 6 + 2x = 26

x + 2 + 2x = 26

Combine like terms

(x + 2x) + 2 = 26

3x + 2 = 26

Subtract 2 on both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide 3 on both sides

3x / 3 = 24 / 3

[tex]\boxed{x=8}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The choose D) -12

Step-by-step explanation:

[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]

I hope I helped you^_^

Writing an expression consists of combining two or more variables, symbols, or numbers, with one or more mathematical operators to form a mathematical sentence that is based on a specific context

The expression for the total cost for bowling is 45·h + 5·f

The reason the above expression is correct is as follows:

The given parameters are;

The cost of shoe rentals for bowling per player = $5

The cost to book a lane per hour = $45

The number of people in the group of friends = f

The number of hours the friends go bowling = h

Required:

To write an expression for the total cost for the group of friends to go bowling

Solution:

Let the number of lanes the friends book= 1

The total cost, C, is the cost to book one lane at $45 per hour for h hours, plus the cost for the f number of friends to rent one shoe each at $5 per player (person)

Mathematically,  C = 45·h + 5·f

The expression for the total cost for the group of friends to go bowling, is therefore;

45·h + 5·f

Learn more about mathematical expressions here:

https://brainly.com/question/20596193

Answer:

Both of them. This has a constant slope of -8 and technically starts off after 87.

9514 1404 393

Answer:

  $1006

Step-by-step explanation:

Julie will owe the difference between the total cost and the amount she has paid:

  ($1390 +90 +95) -569 = $1006 . . . . amount Julie owes

Option B. 12.9 cm²

Solution

h =Sin(40)*8

S = h*5/2 = 12.85>>12.9 cm2

The area of ​​a triangle can be calculated from the base and height of the triangle. The basic formula for calculating the area is the area of ​​the triangle = 1/2 (base x height). In other scenarios, if you know the other parameters, use the following formula to find the area of ​​the triangle.

The area of ​​a triangle is the space surrounded by the three sides of the triangle. It is calculated using various formulas depending on the type of triangle and is expressed in squares such as cm2 and inches2.

Learn more about  triangle at

https://brainly.com/question/17335144

#SPJ2

Answer:

26 students are good in mathematics only.

28 students are not good in any of the three courses.

Answer:

X = 15/16

Step-by-step explanation:

2(4-8x) + 6 = -1

8 - 16x + 6 = -1

14 - 16x = -1

-16x = -1 -14

-16x = -15

X = 15/16

Answer:

[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]

Answer:

X = 8

28

Step-by-step explanation:

Here Is How I did this problem:

33 - 5 = 28

X = 8

2x = 28

To Check my answer This is what I did:

28 + 5 = 33

Hope this helps! :)

Answer:

ok

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

ty for the points so very much

Answer:

The quotient is 2

I don't think this needs solution

Answer:

the quotient is 2

Step-by-step explanation:

1/2÷1/4

1/2×4/1

=2

Answer:

Step-by-step explanation:

n = 38

a38 = 21 + (38 - 1)*45

a38 = 21 + 37*45

a38 = 21 + 1665

a38 = 1686

9514 1404 393

Answer:

  {∛2e^(iπ), ∛2·e^(iπ/3), ∛2·e^(-iπ/3)}

Step-by-step explanation:

  [tex]\displaystyle \sqrt[3]{z}=(2e^{i\pi})^{\frac{1}{3}}=(2e^{i(2n+1)\pi})^{\frac{1}{3}}=\sqrt[3]{2}\cdot e^{i(2n+1)\pi/3}\quad\text{for $n=\{-1,0,1\}$}\\\\=\{\sqrt[3]{2}\cdot e^{-i\pi/3},\sqrt[3]{2}\cdot e^{i\pi/3},\sqrt[3]{2}\cdot e^{i\pi}\}[/tex]

__

Additional comment

z = -2. ∛z will be three points in the complex plane on a circle of radius ∛2 at angles ±π/3 and π radians (±60° and 180°). That is, the real cube root of -2 is -∛2.

[tex]\\ \sf\Rrightarrow f(x)=3x-2[/tex]

[tex]\\ \sf\Rrightarrow g(x)=-4x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow (f+g)(x)[/tex]

[tex]\\ \sf\Rrightarrow f(x)+g(x)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2+(-4x+1)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2-4x+1[/tex]

[tex]\\ \sf\Rrightarrow 3x-4x-2+1[/tex]

[tex]\\ \sf\Rrightarrow -x-1[/tex]

Answer:

(f+g)(x) = -x - 1

Step-by-step explanation:

f(x)=3x−2

g(x)=−4x+1

(f+g)(x) = 3x -2 -4x+1

= -x - 1

[tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Step-by-step explanation:

[tex](12 {m}^{7} - 36m) \div 6m[/tex]

➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]

➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]

➡️ [tex](2 {m}^{7} - 6m)m[/tex]

➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Answer: When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese

Answer:

step by step

take v to divide

r=h/v

Answer:

16

Step-by-step explanation:

(x + 4)(x + 4) = x² + 8x + 16

Answer:

8

Step-by-step explanation:

|-4-4| = |-8| = 8