"The sum of half a number and 13 is 9" DO NOT SOLVE, please just translate the equation.

Answer:

Area of rectangle = 216 square mm

Step-by-step explanation:

Base (b ) = 18 mm

width = 'x' mm

Perimeter of rectangle = 2*(base + width)

Perimeter = 60 mm

2*(base + width) = 60 mm

2 *(18 + x )  = 60

2*18 + 2*x = 60

36   + 2x  = 60

         2x = 60 - 36

         2x = 24

          x = 24/2

    x = 12

Width = 12 mm

Area of rectangle = base * width

                             = 18 * 12

                             = 216 square mm

Problem 16

This is because the two smaller sides 8 and 10 add to 8+10 = 18, but this is not greater than the side 21. For a triangle to be possible, the sum of any two sides must be larger than the third side. I recommend cutting out slips of paper of these lengths to confirm that a triangle is indeed not possible in this case.

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Problem 17

Choice A is not the answer because 13+8 = 21, but that's not larger than the third side 21.

Choice C is not the answer because 6+11 = 17 which is not larger than 24.

Choice B is the only possible answer. Note we have the three following true inequalities

So adding any two sides of this triangle leads to a sum larger than the third side. We're using the triangle inequality theorem.

Answer:

[tex]\frac{60}{11}[/tex] feet

Step-by-step explanation:

Rectangle 1:

6 x Width = Area

Rectangle 2:

5 x Width = Area

Total Area = Area of Rectangle 1 + Area of Rectangle 2 = 60 square feet

Take Width as [tex]x[/tex] as the widths of both rectangles are the same:

[tex]5x + 6x = 60\\\\11x = 60\\\\x = \frac{60}{11}[/tex]

(a)1/10

(b)4/5

(c)1/20

Answer:

a) [tex]\frac{2}{18}[/tex] or 1/9

b) [tex]\frac{14}{18}[/tex]

c)[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Answer:

∠A = 90  

∠B = 30

∠C = 60

Step-by-step explanation:

Let ∠B = x

∠A = 3x

∠C = x + 30

Angle sum property of triangle: Sum of three angles of triangle is 180

x + 3x + x + 30 = 180   {Combine like terms}

         5x  + 30 = 180

                    5x = 180 - 30

                   5x = 150

                     x = 130/5

x = 30

∠A = 3*30 = 90

∠C = 30 + 30 = 60

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.

Option A is correct:

3.

Option B is correct:

Answer:

5

Step-by-step explanation:

Answer: 9x+16

Step-by-step explanation: in image below

Given:

The equation is

[tex]4(x-3)+5=17[/tex]

To find:

The solution of given equation.

Solution:

We have,

[tex]4(x-3)+5=17[/tex]

Using distributive property, we get

[tex]4(x)+4(-3)+5=17[/tex]

[tex]4x-12+5=17[/tex]

[tex]4x-7=17[/tex]

Adding 7 on both sides, we get

[tex]4x-7+7=17+7[/tex]

[tex]4x=24[/tex]

Divide both sides by 4.

[tex]x=\dfrac{24}{4}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6.

Here is the set up:

A = area of rectangular garden = 6/7.

Let l = length = 3/5.

Let w = width

A = lw

6/7 = (3/5)w

Solve for w.

Answer:

Definitely start with outlining one essay, then doing all of your steps, although don't do much re-writing since there may not be enough time. only focus on one at a time though. as for the questions, since it says pre-essay it wants that completed first but unless you have to do it first, i would do it last since the essays are more important.

Answer:

Answer is:

-2, 5, 19, 26

Step-by-step explanation:

output = input 7x+5 or

x= y7x+5

Step-by-step explanation:

1. keep the demoninator the same

2. to find the numberator, multiply the demoninator number by the whole number, and add the product of that with the numerator number.

example:

2 3/8 = 19/8

1. so, keep the denominator the same, which means that the denominator is 8

2. to find the numerator, you do:

8 times 2 = 16

16 + 3 = 19

--

therefore, the improper fraction of 2 3/8 is 19/8

i hope that helps explain/clarify what you're confused with. :D

Answer:

the answer to that is -18x^2

Answer:

10

Step-by-step explanation:

The answer is 10 because there are 20 days and no home work is due on 7 of those days so that’s 13 days with homework from math or writing. Then you take the three days where it was just math and subtract that to get 10 days of writing.

Answer:

It is d

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

multiply first eq. by 3 and second by 4 to get rid of y

15x+12y=24

8x-12y=68

add the equations

23x = 92

divide both sides by 23

x=92/23=4

Answer:

x = 4

Step-by-step explanation:

Given the 2 equations

5x + 4y = 8 → (1)

2x - 3y = 17 → (2)

Multiplying (1) by 3 and (2) by 4 then adding will eliminate the y- term

15x + 12y = 24 → (3)

8x - 12y = 68 → (4)

Add (3) and (4) term by term to eliminate y, that is

23x = 92 ( divide both sides by 23 )

x = 4

Answer:

5 (12+3)

75

Step-by-step explanation:

so you multiply 5 with the inside of paranthesis. So 5 x 12 and 5 x 3

So its 60 + 15 which is 75. Hope this helps!

Answer:

8x + 128??

Step-by-step explanation:

Answer:

To start off, lets label this triangle ABC where A is the top right vertical, the top left verticle is B, and the bottom one is C. Now lets label the 2 points of intersection from the line segment 8x-23 D and E where the left intersection is E and the right is D.

Notice how CE and AE have an arc and that AC was split to get AE and CE. The 2 arcs show us that the intersection E is located at half the line segment.

This is the same on the other line segment BC. So if E and D are half of those line segments then the line segment ED must be half of the parallel segment above it. Because this is true, 2(8x-23)=10x+44

Now we have an equation and we can solve:

2(8x-23)=10x+44

16x-46=10x+44

6x-46=44

6x=90

x=15

Step-by-step explanation:

Answer:

9/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, subtract 2.04 by 30

30 - 2.04 = 27.96

Next, divide 27.96 by 4.

27.96/4 = 6.99

Each bag of candy cost $6.99

:)

Answer:

25x^2 - 4

Step-by-step explanation:

and x times an x is x^2 so

25x^2 - 4

Responder:

15m

Explicación paso a paso:

Dada la expresión de la altura de la pelota lanzada modelada por la ecuación;

h (x) = -5x² + 10x + 15

El momento en que se arrojó la piedra es cero, es decir, x = 0 segundos

Sustituya x = 0 en la ecuación y encuentre h (x) como se muestra;

h (x) = -5x² + 10x + 15

h (0) = -5 (0) ² + 10 (0) +15

h (0) = 0 + 0 + 15

h (0) = 15 m

De ahí que la altura de la piedra cuando la arrojes sea de 15 m

Answer:

-5/24

Step-by-step explanation:

-3/8 =

-9/24

1/6 =

4/24

-9/24+4/24=-5/24

Answer:

-3

Step-by-step explanation:

multiply to make it a common number so -3/8 times 6/6 and 1/6 times 8/8

so -18/48 times 8/48. Then you multiply the top numbers to get 144/48. Then you simplify or divide so -3.

Answer

8yz - 3y + Z

Step-by-step explanation:

Answer:=8yz−3y+z

Step-by-step explanation:

Hope it helps!

An additional expression in the form Descent + Ascent to represent this situation is -13.7 + 15.2. The sum will be 1.5 meters.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Eric started at sea level. He descended 13.7 meters and then ascended 15.2 meters.

The expression will be written as,
E = -13.7 + 15.2.

E = 1.5 meters

Therefore, the additional expression in the form Descent + Ascent to represent this situation is -13.7 + 15.2. The sum will be 1.5 meters.

To know more about an expression follow

https://brainly.com/question/2164351

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Answer:

Graph A

Step-by-step explanation: