help I have an exam coming up and I need to understand how to answer this problem

Answer:

One half times the difference of twenty and a variable is two thirds

one half times the quantity y minus 20 equals two thirds

one half times the quantity 20 minus y equals two thirds

one half times y minus 20 equals two thirds

one half times 20 minus y equals two thirds

0.5(20 - y) = 2/3

One half times the difference of twenty and a variable is two thirds :
1/2(20 - y) = 2/3
[this one im not too sure, please confirm it cause i don't think it is clear enough]

One half times the quantity y minus 20 equals two thirds :
1/2(y - 20) = 2/3

One half times the quantity 20 minus y equals two thirds :
1/2(20 - y) = 2/3

One half times y minus 20 equals two thirds :
1/2 x y - 20 = 2/3

One half times 20 minus y equals two thirds :
1/2 x 20 - y = 2/3

The correct answer is option D which is the expression is, 11 over 24 times r plus negative 8.

In mathematics, creating equations from word descriptions is referred to as a "word problem."

For example, in the question, equations are expressed in words and then rewritten in figures, which is the preferred way to write equations.

The equation is rewritten in words and solved as below.

How to write and solve the equation

Given expression is,

[tex](\frac{-1}{8}*r-5-\frac{1}{6} *r)-(\frac{-6}{8} *r+3)[/tex]

solving the equation:

= [tex](\frac{-1}{8} *r-5-\frac{1}{6} *r)-(\frac{-6}{8} *r+3)[/tex]

= [tex](\frac{-r}{8} -5-\frac{r}{6} )-(\frac{-6r}{8} +3)[/tex]

opening the parenthesis leads to change of signs as follows

= [tex]\frac{-r}{8} -5-\frac{r}{6} +\frac{6r}{8} -3[/tex]

= [tex]\frac{-r}{8} -\frac{r}{6} +\frac{6r}{8} -5-3[/tex]

= [tex]\frac{-3r-4r}{24}+\frac{6r}{8} -8[/tex]

= [tex]\frac{-7r}{24} +\frac{6r}{8} -8\\[/tex]

= [tex]\frac{-7r+18r}{24} -8[/tex]

= [tex]\frac{11r}{24} -8[/tex]

= [tex]\frac{11}{24} *r+(-8)[/tex]

Therefore the correct answer is option D which is 11 over 24 times r plus negative 8.

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Answer: Option 4

Step-by-step explanation:

The balloon was flying at a height of 176.58 m .

The fundamentals of an object's motion, such as its position, velocity, or acceleration over time, are defined by kinematics equations of motion. An object's motion in one, two, and three dimensions is determined by these three equations of motion. One of three equations of motion can be used to calculate components like displacement (s), velocity (initial and final), time (t), and acceleration (a). The following are the three motion equations:

Initial formula: v = u + at

The second formula is s = ut + 0.5at2.

The third formula is v2 = u2 + 2as.

Let t stand for the duration of the metal bat's flight, s for the height at which the hot air balloon was traveling, and u for the metal bat's initial vertical velocity since it is simply dropped.

Given: The metal bat took 6 seconds to reach the ground.

With t = 12 and u = 0, the second equation of motion gives us s = 0*t + 0.5*9.81*162 = 176.58 m.

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The values of indicated function are-

For the given question;

For finding the values of the function, see the values for y axis with respect to the given values of x from the graph.

a: f(-4), input value is (-4), output on y axis is 6.

f(-4) = 6.

b: f(0), input value is (0), output on y axis is -6.

f(0) = -6.

c: f(1), input value is (1), output on y axis is -4.

f(1) = -4.

Thus, the range for the state functions are obtained.

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The rate of change of an edge of the cube is 0.074 m/min.

The rate at which the volume of the cube changes is calculated as follows;

dv/dt = 2 m³/min

where;

The length of edge of the cube will be denoted with a, and it is related to the volume of cube in the following equation.

v = a³

a = v^¹/₃

where;

The change in the edge with volume;

da/dv = 1/3 (1/v)^2/3

The change in edge of the cube with time is given as;

da/dt = da/dv . dv/dt

da/dt = 1/3 (1/v)^2/3    x   2 m³/min

da/dt = 1/3 (1/27)^2/3 /m²     x    2 m³/min

da/dt = 1/27 x 2  m/min

da/dt = 2/27  m/min

da/dt = 0.074 m/min

Thus, the rate at which the edge of the cube changes with time is smaller compared to the volume.

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Answer:456

Step-by-step explanation:

First you grab the crabby patty formula and then you decide that by 3 multiply it by 6 then after all of that you do the equation 64%78+4637=456 so that’s how I got my answer.

Answer: 25?

Step-by-step explanation:

Answer:

-5y + 20

Step-by-step explanation:

Distributive property: multiply the outside terms with the inside terms

-5(y - 4)

-5 x y = -5y

-5 x 4 = -20

-5y + 20

So -5(y - 4) simplified using distributive property is -5y + 20

Your welcome hope this helps :)

Answer:

56

Step-by-step explanation:

Because w and 124 make a straight line. So you would need to subtract 180 from 124

Answer:

A )56

Step-by-step explanation:

The value of angle A when A and B are vertical opposite angles is 96°.

It should be noted that vertical angles are equal. Based on the information illustrated, it should be noted that angle A = 4x - 4 and angle B = 5x - 29.

Then, we will equate the equations and this will be:

Angle A = Angle B

4x - 4 = 5x - 29

Collect like terms

5x - 4x = -4 + 39

x = 25

Since angle A = 4x - 4 = 4(25) - 4 = 100 - 4 = 96°

Angle A is 96°.

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Answer:

Step-by-step explanation:

contains a typo, namely there is no r on the right side.

Whatever, once you have fixed your post, simply replace the r with -1 then evaluate.

Answer:

20(7 + 10)

Step-by-step explanation:

The GCF of 200 and 140 are 20

.: by GCF and factoring we have:

20(7 + 10)

Opening the bracket still gives the initial expression.

Distributive property, Subtraction property of equality, and Division property of equality had been used respectively according to the blanks provided.

First is distributive property, which states that if the equation is complex it needs to be simplified. The distributive property uses the PEMDAS rule which is the priority sequence in which the equation needs to be solved.

P stands for Parentheses, E stands for Exponents, M stands for Multiplication, D stands for Division, A stands for Addition, and S stands for Subtraction.

Second is the subtraction property of equality, which states the same number could be subtracted from both the side which is left-hand side and the right-hand side to solve an equation.

And the last is the division property of equality, which states the same number could be divided from both the side which is left-hand side and the right-hand side to solve an equation.

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Davi needs to sell  131 cups to make at least R$500 profit , the inequality for this story is 3.82x ≥ 500 ,

In the question ,

it is given that

Davi makes R$3.82 per cup of coffee sold .

he needs to make at least R$500 profit

let the number of cups of coffee sold = x  ,

the term "at least"  means " ≥ " ,

So , According to the question , the inequality becomes

3.82x ≥ 500

x ≥ 130.89

x ≥ 131      .....as number of cups cannot be in decimal .

so the minimum number of cups to be sold is 131 cups.

When the inequality x ≥ 131   , will be graphed then the limit will be an closed circle as equal to sign is included in the inequality .

as when the numbers increases , it move towards right side

So, When the inequality is graphed, the line will have an arrow pointing towards the right  .

Therefore , Davi needs to sell  131 cups to make at least R$500 profit ,

the inequality for this story is 3.82x ≥ 500 ,

the limit of graph will be closed circle and arrow will be pointing towards right  .

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Answer:

[tex]2x - 25 = 87 \\ 2x = 87 + 25 \\ 2x = 112 \\ \frac{2x}{2} = \frac{112}{2} \\ x = 56[/tex]

I USED THE REASON ALTERNATE ANGLES ARE EQUAL

58

Step-by-step explanation:

sum of angle inside a triangle is equal to 180

plus 90 and 32 you get 122 now subtract 180 and 122 the answer will be 58

The shortest possible time is 15 minutes.

It takes 10 minutes to fry one steak - 5 minutes from each side. Two steaks can fit on a pan. What is the shortest possible time to fry 3 steaks?

If I go with the conventional way then I can fry two steaks together taking ten minutes and then I can fry the third one in another ten minutes. So total time 20 minutes.

Assuming that I have only one pan and three steaks to fry. We can even use unitary method .

I will put two steaks in the pan then after 5 minutes I will take out one steak and put the other steak while I will flip the steak which is still in the pan. So in first ten minutes I have only one steak ready. Then I will flip the newly added steak in the pan and put the half side fully cooked steak also in the pan. So in this way in the coming five minutes my other two steaks will also get cooked. Total time taken=5+5+5=15 minutes.

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UV = 11 and TV = 41

A line segment has two fixed end points in a line. The length of the line segment is the distance between two fixed points. The length can be measured by units such as centimeters, millimeters, feet or inches

The points on a line are matched one to one with the real numbers in ruler postulate.  Coordinate of the point is the real number that corresponds to a point. The distance between points A and B (AB) is equal to the difference of the coordinates of A and B.

As given,

TU = 16, UV = x+4  and TV = 8x -15

TU + UV = TV

16 + x+4 = 8x -15

16 + 4 +1 5 = 8x - x

35 = 7x

x = 35/5

x= 7

We can find UV = x + 4 by substituting the value of x

= 7 +4

= 11

and TV = 8x - 15

= (8*7) - 15

=56 - 15

=41

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For this problem we use the formula for compund interest and substitute the 5.5% of interest annually and the initial deposit of $300:

Answer: first option.

[tex](f+g)(x)=f(x)+g(x)\\\\=\frac{x}{2}-2+2x^2 +x-3\\\\=2x^2 +\frac{3}{2}x-5[/tex]

Answer:

39$

Step-by-step explanation:

if the tax is 6 dollars 6 goes into 21 3 times making 18 add 18 to 21 and that is your answer.

Answer:

answer is ask to your parents

The radius of the given sphere will be 9/π.

So, the formula for the volume of a sphere: V = 4/3πr³

Volume is 972, then the radius will be:

Therefore, the radius of the given sphere will be 9/π.

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The answer is 1.83

Step-by-step explanation:

Look it up

Answer:

b=?(x)

h=2.9

A=5.8

A=b×h/2

5.8=2.9x/2

5.8×2=2.9

11.6=2.9x

11.6/2.9=x

4=x