Devon is saving to buy a telescope. If he saves 7$ a week for 14 weeks which equation can be used to fund the total cost

Answers

Answer 1

Answer: Multiply 7 and 14

Step-by-step explanation: to find the answer you multiply 7 and 14 you get 98$ which is the total cost pls consider making me brainliest if im correct i really hope i am :)) make sure to tell me if im wrong

Answer 2

Answer:

Step-by-step explanation:

Step 1: Assume your variables

We can see that the money is being saved on a weekly basis.

So, let's assume the number of weeks for which the money is being saved to be the variable: [tex]x[/tex]

And let's consider the total cost after [tex]x[/tex] weeks to be: [tex]y[/tex]

Step 2: Manipulate the variables according to the information given

$7 is being saved each week.

So, in one week, [tex]\$7[/tex] is saved.

In two weeks, [tex]\$(7\times 2)[/tex] is saved.

So, in [tex]x[/tex] weeks, [tex]\$(7\times x)[/tex] is saved.

Step 3: Create the equation

In words, the equation will be as such:

Total cost after [tex]x[/tex] weeks = Amount saved in [tex]x[/tex] weeks

Upon representing this mathematically, we get:

[tex]y=7\times x\\y=7x[/tex]

The equation  [tex]y=7x[/tex]  can be used to find the total cost.


Related Questions

C)
to make the total value equal to 2. Re-write the statement 19 + 7 + 2 x 6 + 1 by including two pairs
of brackets

Answers

If you place brackets or parenthesis around the numbers 19+7 and 2*6+1. It would appear as follows: (19+7)/(2*6+1) = 26/13 = 2. It takes special parenthetical treatment to express the mathematical expression 19+7/26+1 to get a result of 2.

What is expression?

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

Here,

y=19+7/2×6+1

becomes

y=(19+7)/(2×6+1)

y=26/(12+1)

y=26/13

y=2

If you enclose the numbers 19+7 and 2*6+1 in parenthesis or brackets. It would look like this: (19+7)/(2*6+1) = 26/13 = 2. The mathematical expression 19+7/26+1 must be expressed with special parenthetical treatment to yield the number 2.

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The vertices of △ABC are A(2, −3), B(−3, −5), and C(4, 1). If (x,y)--> (x-4, y-1), give the vertices of △A′B′C′.

Answers

Answer:

A' = (-2, -4)

B' = (-7, -6)

C' = (0, 0)

Step-by-step explanation:

Vertices of triangle ABC:

A = (2, -3)B = (-3, -5)C = (4, 1)

Given mapping rule:

(x, y) → (x - 4, y - 1)

This notation tells you that the x-coordinate is translated 4 units to the left, and the y-coordinate is translated 1 unit down.

Substitute the coordinates of each point into the mapping rule to find the vertices of triangle A'B'C':

⇒ A' = (2 - 4, -3 - 1) = (-2, -4)

⇒ B' = (-3 - 4, -5 - 1) = (-7, -6)

⇒ C' = (4 - 4, 1 - 1) = (0, 0)

product of (-12)(-8)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{GUIDE TO FOLLOW: }[/tex]

• [tex]\large\textsf{2 negatives equal positive}[/tex]
• [tex]\large\textsf{2 positives equal positive}[/tex]
• [tex]\large\textsf{1 negative \& 1 positive equal negative}[/tex]
• [tex]\large\textsf{1 positive \& 1 positive equal negative}[/tex]


[tex]\large\textsf{SOME OPERATIONS MAY BE DIFFERENT THAN OTHERS!}[/tex]


[tex]\large\textsf{ANYWHO, LET US ANSWER THIS QUESTION, SHALL WE? }[/tex]

[tex]\mathsf{(-12)(-8)}[/tex]

[tex]\mathsf{= 12(8)}[/tex]

[tex]\mathsf{= 96}[/tex]


[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{96}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

4560=12 ÷ y

What is y equal to?

Answers

Answer:y=1/380

Step-by-step explanation:

if you are trying to do y divided by 12 it would be 4560x12

Give an example of a percent problem involving the simple interest formula. Then solve your problem.

Answers

The example of the simple interest problem is: What will be the simple interest on $2500 invested at an interest rate of 6% for 2 years?

What is simple interest?

Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Solution for the above problem is:

The formula to calculate simple interest is:

[tex]S.I. = P \times I \times T[/tex]

Here, S.I. is simple interest, P = principal amount, I = interest rate, T = time

Given in the question:

P = $2500

I = 6% = 0.06 (in decimals)

T = 2

Putting the value in the question:

S.I. = 2500(0.06)(2)

S.I. = 300

Therefore, the simple interest is $300.

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4/y+2 = 10/5y
solve for y

Answers

Answer:

y = - 1

Step-by-step explanation:

[tex]\frac{4}{y}[/tex] + 2 = [tex]\frac{10}{5y}[/tex]

multiply through by 5y to clear the fractions

20 + 10y = 10 ( subtract 20 from both sides )

10y = - 10 ( divide both sides by 10 )

y = - 1

Which equation has no solution?

Answers

Answer:

The answer is the third one down

Step-by-step explanation:

l5-3xl = -8

Absolute value cannot equal a negative number.

Step-by-step explanation:

l5-3xl = -8

the | | is absolute value to it so it cant be negative number

Which graph represents data used in a linear regression that produces a correlation coefficient closest to -1?

Answers

What does the letter "L" stand for in the simulation?

Answer: d

Step-by-step explanation: ion know man but i looked it up and got it right

Suppose a ray of sunlight bounces off a window at a point P, and that
line mis perpendicular to the window at point P. Angles of inflection
and reflection are created as shown.
Write an equation and then solve for x.
m
-
(3x - 10)°
(2x + 5)°
P

Answers

By applying the law of reflection to the ray of sunlight, the value of x is equal to 5.

What is the law of reflection?

The law of reflection is a theorem which states that the magnitude of the angle of incidence is equal to the magnitude of the angle of reflection when a ray of light is reflected off a surface such as a plane mirror.

Mathematically, law of reflection can be represented or modelled by this mathematical expression:

sinθi = sinθr

Where:

sinθi represents the angle of incidence.sinθr represents the angle of reflection.

By applying the law of reflection to the ray of sunlight (see attachment), we have the following equation:

(3x - 10)° = (2x + 5)°

3x + 2x = 10 + 5

5x = 15

x = 15/3

x = 5.

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Which graph represents the reflection of AABC over the line y = 0?
-54-3 -2 -1
S ON
CH
-3
LO
*
C
A
2 3
A
B
12
X

Answers

Answer:

The graph represents the reflection of triangle ABC over the line y=0 in graph (C).

The coordinates of the triangle ABC are:

A(1, -1), B(4, -1) and C(3, -3).

The rule of reflection over the line y = 0 is:

(x, y)   ⇒   (x, -y)

So, we have:

A(1, -1)   ⇒    (1, 1),

B(4, -1)  ⇒    (4, 1)

C(3, -3)  ⇒  (3, 3).

By comparing the above points to the list of options, the correct graph is a graph (c)

Step-by-step explanation:

hope this helps I hope

The graph C represents the reflection of triangle ABC over the line y = 0

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The coordinates of the triangle ABC are:

A(1, -1), B(4, -1) and C(3, -3).

The rule of reflection over the line y = 0 is:

(x, y)   ⇒   (x, -y)

So, we have:

The coordinates after applying rule

A(1, -1)   ⇒    (1, 1),

B(4, -1)  ⇒    (4, 1)

C(3, -3)  ⇒  (3, 3).

By comparing the above points to the list of options, the correct graph is a graph (c)

Hence, the graph C represents the reflection of triangle ABC over the line y = 0

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(x^4/7^-8)^7

Solve asap pls​

Answers

Answer: x=2

Step-by-step explanation: (x^4/7^-8 )^7

(4x/-56)^7 (7×8=56)

4x/-8

x/-2

x = 2



Can you help me pls this was very hard for me

Answers

Given:

The equation is,

[tex]\frac{24x^2+25x-47}{ax-2}=-8x-3-\frac{53}{ax-2}[/tex]

Explanation:

Simplify the right hand side of equation.

[tex]\begin{gathered} -8x-3-\frac{53}{ax-2}=\frac{(-8x-3)(ax-2)-53}{ax-2} \\ =\frac{-8ax^2-3ax+16x+6-53}{ax-2} \\ =\frac{-8ax^2+(-3a+16)x-47}{ax-2} \end{gathered}[/tex]

From left side and right side of equationn it can be observed that,

[tex]-8ax^2=24x^2\text{ and (-3a+16)x=}25x[/tex]

Simplify the equation for a.

[tex]\begin{gathered} -8a=24 \\ a=\frac{24}{-8} \\ =-3 \end{gathered}[/tex]

OR,

[tex]\begin{gathered} -3a+16=25 \\ -3a=25-16 \\ a=\frac{9}{-3} \\ =-3 \end{gathered}[/tex]

So value of a is -3.

Option B is correct.

A and B are supplementary angles. If mA = (3x - 28)° and
m/B = (x − 4)°, then find the measure of A.

Answers

Answer:

A = 131°

Step-by-step explanation:

Supplementary angles sum 180°

A + B = 180°

(3x - 28) + (x - 4) = 180

4x - 28 - 4 = 180

4x - 32 = 180

4x = 180 + 32

4x = 212

x = 212/4

x = 53

Then:

A = 3x - 28

A = 3*53 - 28

A = 159 - 28

A = 131°

B = x - 4

B = 53 - 4

B = 49°

Check:

131° + 49° = 180°

Answer:m∠A=33

Step-by-step explanation:

arlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.

Write an equation to describe the relationship between m, the amount of minerals, and w, the number of workers.

Answers

The required equation is m/w = 900/18

What is meant by an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Differential equations are equations in which one or more functions and their derivatives are involved. They are solved by locating a function expression that does not use derivatives. Differential equations are used to represent processes with variable rates of change in fields such as physics, chemistry, biology, and economics.

The required equation is m/w = 900/18

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Find the perimeter pf the regular polygon.
5 (x+2)
7x+4

Answers

The perimeter of the regular polygon is 108 units.

How to find the perimeter of a regular polygon?

A regular polygon is a polygon that has all its sides equal to each other.

Therefore,

5(x + 2) = 7x + 4

5x + 10 = 7x + 4

5x - 7x = 4 - 10

-3x  = -6

x = -6 / -3

x = 2

The perimeter of a regular polygon is the sum of the whole sides of the polygon.

Therefore,

each side of the regular polygon = 7(2) + 4

each side of the regular polygon = 14 + 4

each side of the regular polygon = 18

Hence the regular polygon has 6 sides

perimeter of the regular polygon = 18  × 6

perimeter of the regular polygon = 108 units

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a bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies how many cups of oats are required per pound of cookies

Answers

Answer: 7/5 or 1 2/5

Step-by-step explanation:

Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.

You need to find the unit price.

So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7

You need to do the same thing to 3 3/5 cups.

3 3/5 as an improper fraction is 18/5

2 4/7 as an improper fraction is 18/7

Now to divide you need to keep, change, and flip

keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18

18/5*7/18=7/5

7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies

Is the ordered pair a solution of the equation?
y = -6x - 14, (-5,16)
a. yes
b. no

Answers

Answer:

a. Yes

Step-by-step explanation:

If you plug in the ordered pairs, the -5 is x and 16 is y.

The equation would look like this:

16=30x-14

Add 14 on both sides

14+16=30

30=30x

divide by 30 on both sides

1=1

a. Yess


According to the United States Treasury Department, the U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015. On September 29,
2005, the national debt was 4.974 x 10^12 dollars. Find the amount of increase in the national debt from September of 2005 to September of 2015.
Write a sentence describing the increase in the national debt from 2005 to 2015 using scientific notation and using standard form.

Answers

The increase in the national debt from 2005 to 2015 using scientific notation is 1.3176 × 10^13.

What is scientific notation?

Scientific notation simply means a way of expressing numbers that are either too large or too small.

The U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015 and in September 29,

2005, the national debt was 4.974 x 10^12 dollars.

The increase will be the difference between the two notations. This will be:

= 1.815 x 10^13 - 4.974 x 10^12

= 1.3176 × 10^13

The increase is 1.3176 × 10^13.

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The required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

As of the given condition,
According to the United States Treasury Department, the U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015. On September 29, 2005, the national debt was 4.974 x 10^12 dollars.

Here,
The required increase in the debt is evaluated as the arithmetic difference of the debt in the years 2015 and 2005.

So.
Increase in debt = 1.815 × 10¹³ - 0.4974 × 10¹³ = 1.3176 × 10¹³

Thus, the required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

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A barge is being towed by two tugboats, using ropes with force vectors as shown.

Answers

SOLUTION

From the question, we are given

[tex]\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}[/tex]

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

[tex]\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}[/tex]

But writing the forces in vector form, we have

[tex]\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}[/tex]

Applying the formula above, we have

[tex]\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}[/tex]

Now, theta becomes

[tex]\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}[/tex]

hence the answer is option B, 53 degrees

SOLUTION

From the question, we are given

[tex]\begin{gathered} F_1=(11,000,5000) \\ F_2=(14,500,-8,000) \end{gathered}[/tex]

Now, to find the angle between the ropes, we will take the dot product of two vectors. This is given as

[tex]\begin{gathered} a.b=|a||b|cos\theta \\ so,\text{ we have } \\ cos\theta=\frac{a.b}{|a||b|} \end{gathered}[/tex]

But writing the forces in vector form, we have

[tex]\begin{gathered} F_1=11,000i+5000j \\ F_2=14,500i-8,000j \end{gathered}[/tex]

Applying the formula above, we have

[tex]\begin{gathered} cos\theta=\frac{a.b}{|a||b|} \\ cos\theta=\frac{(11,000)(14,500)+(5000)(-8000)}{\sqrt{11,000^2+5000^2)\sqrt{14500^2+(-8000)^2}}} \\ cos\theta=\frac{159,500,000-40,000,000}{\sqrt{121,000,000+25,000,000}\sqrt{210,250,000+64,000,000}} \\ cos\theta=\frac{119,500,000}{\sqrt{146,000,000}\sqrt{274,250,000}} \\ cos\theta=\frac{119,500,000}{12,083.04579\times16560.4952} \\ cos\theta=\frac{119,500,000}{200,101,221.806675} \\ cos\theta=0.5971977 \end{gathered}[/tex]

Now, theta becomes

[tex]\begin{gathered} \theta=cos^{-1}0.5971977 \\ \theta=53.3305 \end{gathered}[/tex]

hence the answer is option B, 53 degrees

84 minutes for 32 songs = 42 minutes for _____
songs

Answers

Answer: 84 minutes for 32 songs= 42 minutes for 16 songs.

Step-by-step explanation: All I had to do was divide 84 by two and divide 32 by 2.

84/2=42

32/2= 16 songs.

Answer: 16 songs.

84 dived by 2 equals 42.

Do 32 divided by 2 and it gives us 16.

The United States flag has a height : width ratio of 10 : 19. If a U.S. flag is 25 inches high, what is its area?

Answers

The area of the given flag is 1187.5 square inches.

Given that, the United States flag has a height : width ratio of 10 : 19.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Let the sum of Height and width of flag be x.

Now, 10+19=29

⇒ 10/29 ×x = 25

⇒ 10x=29 × 25

⇒ x=72.5

So, width = 72.5-25 =47.5

Area of flag = Length × Width

= 25 × 47.5

= 1187.5 square inches

Therefore, the area of the given flag is 1187.5 square inches.

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Emma is scrapbooking. She has 9 inches of paper and needs to cut it into 2/5 inch strips of paper. how many whole strips will she be able to make?

Answers

ok

I erased the answer but it is 22 whole strips

Find the measure of the missing arc (dont worry about the degree symbol)

Answers

The formula to calculate the missing arc is,

[tex]m\angle T=\frac{1}{2}\times m\angle arcTS[/tex]

where,

[tex]m\angle arcTS=146^0[/tex]

Therefore,

[tex]\begin{gathered} m\angle T=\frac{1}{2}\times146^0=73^0 \\ \therefore m\angle T=73^0 \end{gathered}[/tex]

Hence, the answer is

[tex]\begin{equation*} m\angle T=73^0 \end{equation*}[/tex]

Two angles are supplementary. The measure of one angle is 54 more than the measure of the other angle. What is the measure of the bigger angle?

Answers

The measure of the bigger angle is 117°

What are Supplementary Angles?

Two angles are said to be supplementary if their sums total 180 degrees.

Let,  x be the angle

and, x + 54 other angle measure.

we know, sum of Supplementary angle is 180°

so, the equation will be

x + (x + 54) = 180°

2x + 54 = 180

2x = 180 - 54

2x = 126

x = 63°

x + 54 = 63 + 54 = 117°

Therefore, The measure of the bigger angle 117°

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As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____ distribution.

Answers

As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution.

In the theory of probability, the central limit theorem states that the distribution of a sample mean approximates a normal distribution as the size of the sample increases. For the central limit theorem to hold, it is necessary that the sample size at least cross a margin of 30. Having a sufficiently larger sample size can predict the characteristics of the sample more accurately. The central limit theorem is applicable when we are analyzing large data sets.

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A chemist is using 363 milliliters of a solution of acid and water. If 13.6% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.

Answers

If 13.6% of the solution is acid ,then 49.4 milliliters of acid are there .

In the question;

it is given that

the total solution of acid and water is 363 milliliters .

and also it is  given that 13.6% of the solution is acid ,

which means

the amount of acid in solution = 13.6% of total solution

Substituting the values , and

on solving further ,

we get

amount of acid in solution = 0.136×363        ......as 13.6% = 0.136

= 49.368

≈ 49.4  milliliter

Therefore , if 13.6% of the solution is acid ,then 49.4 milliliters of acid are there .

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step by step explanation 6 divided by 396 show work

Answers

The value of 6 divided by 396 is 0.1515.

What is division?

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The primary purpose of division is to determine how many equal groups are formed or how many people are in each group when equitably sharing.

The steps include:

Step 1: Take the first digit of the dividend from the left.

Step 2: Divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and then write the difference below.

Step 4: Bring down the next digit of the dividend.

In this case, 6/396 will give the value illustrated above.

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Evaluate if x = 4. x² + x = [?]​

Answers

Answer: The answer is 0.

X = 0 when evaluated.

Step-by-step explanation:

x^2 - 2x

The value of x^2 - 2x for x = 4 is calculated as below

Now, substituting x=4 in the given equation, we get
x^2 - 2x = 4^2 - 2 x 4
= 16 - 8
= 8
Therefor, the answer is 8

simplify the following 22e- 5e- 8e- 4e​

Answers

Answer:

5e?

Step-by-step explanation:

so if i help let me know this please

[tex]22e - 5e - 8e - 4e = 5e[/tex]

Tiana made lemonade for a party. Her family drank half of the lemonade. After the party, she gave one-third of the remaining lemonade to her neighbors. If Tiana has 210 ounces of lemonade remaining after the party and giving some away to her neighbors, how many ounces of lemonade did she start with? Show your work.

Answers

The amount of lemonade Tina made in the starting is 630 ounces.

Given that:-

Fraction of lemonade drank by her family = 1/2

Fraction of lemonade given to neighbors = 1/3 of remaining

Amount of lemonade left with her at the end = 210 ounces

We have to find the amount of lemonade Tina made in the starting.

Let the amount of lemonade Tina made in the starting be 6x.

Hence,

Amount of lemonade drank by her family = (1/2)*6x = 3x

Remaining lemonade = 6x - 3x = 3x

Amount of lemonade given to neighbors = (1/3)*3x = x

Remaining lemonade = 3x - x = 2x = 210 ounces

Hence,

x = 210/2 = 105 ounces

Amount of lemonade Tina made in the starting = 6x = 6*105 = 630 ounces.

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In the xy-plane, line n passes through point (0,0) and has a slope of 4. If line n also passes through point (3,a), what is the value of a? I need help part two and three of this question:A line passes through the following points: (6,3) and (2,9)1. Write the equation of the lineWhich I got y=-3/2 x+122. Write an equation of a line that is perpendicular to the original form. 3. Write the equation of a line that is parallel to the original form. Invented by the well-known quality control statistician dr. Kaoru ishikawa, what is the name of the analysis tool that provides a systematic way of looking at effects and the causes that create or contribute to those effects?. How would you describe what a shale with ammonite looks like? Mariana, who rents properties for a living, measures all the offices in a building she is renting. Size (square meters) Number of offices 60 3 70 2 98 5 X is the size of a randomly chosen office. What is the expected value of X? Write your answer as a decimal. A man is lying on the beach, flying a kite. he holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 50 (a) Find an angle between 0 and 360 that is coterminal with 600.(b) Find an angle between 0 and 2n that is coterminal with2 Prepaid cell phone services can protect privacy. One can buy a phone for cash and pay cash in advance for service. There are no billing records, and records of calls made on the phone are not linked to the owner. Cell phone carriers and governments in a few countries considered ending prepaid phone services because criminals use it; law enforcement agencies could not trace them. Should the decision about whether to provide prepaid cell phone service be left to the service providers or should government ban it? If left to the companies what policy do you think they should adopt? y=6/5x+9 how would I graph it Two balls are drawn in succession without replacement from an urn containing 5 red balls and 6 blue balls. Let Z be the random variable representing the number of blue balls. Construct the probability distribution and histogram of the random variable Z. in addition to the trade-off between current consumption and investment in capital and research, what other trade-offs do governments face in terms of economic growth? suppose jollyland has a population of 1,000 people and a gdp of $1 million, while follyland has a population of 8,000 people and a gdp of $8 million. which country has a higher gdp per capita? Solve for u-6u+3(u-3)=12 1+2 |x-1| less than or equal to 9 A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1100 feet, whatare the dimensions of the field?The width of the field isfeet.The length of the field isfeet. - 9 = 12 what is the value of K? twenty years after graduating, a subject is able to correctly identify photographs of students she attended high school with from a larger group of strangers. to do so she has used The day's high temperature in Detroit, Michigan was recorded as 50F. Use the formula C=59(F32) to write 50F as degrees Celsius. Density is defined asResponsesA volume/massvolume/massB length to mass ratiolength to mass ratioC mass to length ratiomass to length ratioD mass/volumemass Question 2 write an expression to represent the perimeter of Melissas garden in the terms of X type the correct answer in each box use numerals instead of words