Simplify the equation given in the image

Answer:

Assuming this: * means a multiplication symbol, the answer is 56.

Step-by-step explanation:

1. Replace every single x with 20.

2. 20 + 20 * 2 - 20/5

3. Simplify the equation

4. 20 + 40 - 4  (Order of operations. To remember this use

P(parentheses)

E(exponents)

M(multiplication)

D(division)

A(addition)

S(subtraction)

Top to bottom represents which operations you should do first while simplifiying an equation. Addition and subtraction are in equal places. This is the same with multiplication and division.

5. 20 + 40= 60 - 4= 56

Given:

A rectangle has a length 5 meters more than five times the  width.

The area of the rectangle is less than 100 meters  squared.

To find:

The expression or inequality that represents all possible  widths of the rectangle.

Solution:

Let x be the width of the rectangle.

Length of the rectangle is 5 meters more than five times the  width.

[tex]length=5x+5[/tex]

Area of rectangle is

[tex]Area=length \times width[/tex]

[tex]Area=(5x+5) \times x[/tex]

[tex]Area=5x^2+5x[/tex]

The area of the rectangle is less than 100 meters  squared.

[tex]5x^2+5x<100[/tex]

[tex]5x^2+5x-100<0[/tex]

Divide both sides by 5.

[tex]x^2+x-20<0[/tex]

[tex]x^2+5x-4x-20<0[/tex]

[tex]x(x+5)-4(x+5)<0[/tex]

[tex](x+5)(x-4)<0[/tex]

It is true if one factor is negative and other is positive. So,

[tex]x-4<0\Rightarrow x<4[/tex]     ...(i)

[tex]x+5>0\Rightarrow x>-5[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]-5<x<4[/tex]

Therefore, the required expression or inequality for possible

widths of the rectangle is [tex]-5<x<4[/tex].

Answer:

453.95 feet exactly

Step-by-step explanation:

Answer:

answer is the 2nd one

Step-by-step explanation:

y = 1/3(3) - 1 = 1 - 1 = 0   (3,0)

y = 1/3(0) - 1 = 0 - 1 = -1   (0, -1)

y= 1/3(6) - 1 = 2 - 1 = 1     (6, 1)

Answer:

B) 2 frozen dinners and 2 dozen jelly doughnuts

Step-by-step explanation:

Calculate the total utility for each option.

A) 46

B) 32 + 21 = 53

C) 16 + 30 = 46

D) 28

Option B has the highest total utility.

Answer:

30°

Step-by-step explanation:

•angle 8 would be the same as angle 6

•angle 6 is next to angle 3

•if you were to add angle 6 and 3 it should equal 180°

180-150=30°

i rlly hope this is correct and helps <3

A --------¢ D

B --------¢ E

C --------¢ F

Just match like this buddy.

Answer:

15 full servings before not having enough left over for another full serving.

Step-by-step explanation:

Answer: y=1/4+3

Step-by-step explanation:

1. The slope is 12

2. (6 - 2)/(12+4)= 4/16= 1/4

y - 2 = 1/4(x + 4)

y - 2 = 1/4x + 1

y = 1/4x + 3

Answer: 6

Step-by-step explanation:

Answer:

it's b and a

Step-by-step explanation:

Answer:

1. C) 15 inches

2. A) 22.5 inches

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Let x= number of visits she makes

9(number of visits she makes) + 32 (less than or equal to) <= 122

9x+32<= 122

Answer:

b

Step-by-step explanation:

First, multiply it with each other and then it is 28 *4/7 = 16

Meaning that there is 16 girls in Mr. Chang's class

Making the answer B. 28 x 4/7 = 16 to be correct

I hope this helps, love!

Answer:

x=0.2, y=6

Step-by-step explanation:

Since y=20x+2, 5x+y=7 => 5x + (20x +2 ) = 7

                                                     25x + 2 = 7

                                                           25x = 5

                                                                x = 0.2

so y = 20x + 2 = 20* 0.2 +2 = 4 + 2 = 6

so the final solution is [tex]\left \{ {{y=6} \atop {x=0.2}} \right.[/tex]

The values of x and y for the given simultaneous equation are;

x = 0.2 and y = 6

We are given 2 simultaneous equations;

5x + y = 7   ---(eq 1)

20x + 2 = y   ----(eq 2)

Put 20x + 2 for y in eq 1;

5x + 20x + 2 = 7

25x + 2 = 7

25x = 7 - 2

25x = 5

x = 5/25

x = 0.2

Put 0.2 for x in eq 2 to get;

20(0.2) + 2 = y

4 + 2 = y

y = 6

In conclusion, the values of x and y are x = 0.2 and y = 6.

Read more at; https://brainly.com/question/24556232

[tex]21x^{2} -16x^{2} = 5x^{2} \\-18x-9x=-27x\\4-8=-4\\25x^{3} +5x^{2} -27x-4\\A[/tex]

Answer:

Nine hundred seventy two thousand two hundred seventy four. Hope this helps

We need to use the place values to compare different numbers.

By only looking at the place value, we can see that the largest number is: 0.1

Let's see how to get the solution.

We can define place value as the place where a digit is with respect to the decimal point.

The digits that are at the far left are the larger ones, for example in:

11

The left one represents 10, while the right one represents 1:

10 + 1 = 11

The same happens when we look at the right of the decimal point, there the digits at the left will be larger than the ones at the right.

0.10 is larger than 0.01

From this, we can see that for the set:

{0.1, 0.02, 0.003, 0.0004, 0.00005}

The largest number will be the one with the leftmost first digit different than zero, which is the first one: 0.1

If you want to learn more, you can read:

https://brainly.com/question/16601463

Answer:

(-2,0)

Step-by-step explanation:

remember the rule for 90 degree clockwise is (-y,x) opposite y and x

the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative

Hope this helps dude, I'm also learning this in online school lol. ^-^

The image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).

The given coordinate point is (0, 2).

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

The rule of 90° counterclockwise rotation: (x, y) becomes (-y, x), here

(-2, 0)

Therefore, the image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).

Learn more about the rotation of 90° counterclockwise here:

https://brainly.com/question/1571997.

#SPJ2

Answer:

25.81%

Step-by-step explanation:

32/124 were homeruns, to make it into a percentage, multiply it by 100%

32/124 × 100 = 25.81%

Answer:

25%

Step-by-step explanation:

32 divided by 124 =.2580

(−∞,∞) infinite solutions

Answer:

Step-by-step explanation:

Solve for π

Answer:

Step-by-step explanation:

V = 4 π r³

      3

solve for π

3*V = 4π r³

3V = π

4r³

therefore.

π = 3V

      4r³

Answer:

970 feet is the difference between 670 feet above sea level and 300 feet below sea level.

Step-by-step explanation:

670-(-300)

970 feet

Answer:

2 2/15

Step-by-step explanation:

Answer:

85 degrees

Step-by-step explanation:

its really easy just make them equal to eachother and then solve

9x + 13 = 11x-3

-11x (subtract because 11x is positive)

-2x +13 = -3

-13 (subtract because 13 is positive)

-2x = -16

divide both sides by -2

x= 8

substitute 8 for the x's and you have your answer

Answer:

16

Step-by-step explanation:

Answer:

y= -2(x-4)

Step-by-step explanation:

I got it right on the tutorial...