write 10 forms for 1 over 8 as you can think of, be creative and use positive and negative powers or other forms of number.

Using the points (5, 1273) and (10, 2546), equation for the line is 5y =  1273x.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Given,

Coordinates (5, 1273) and (10,2546)

For slope, m

m = y₂ - y₁/ x₂ - x₁

m = 2546 - 1273/10 -5

m = 1273/5

Equation in y = mx form,

y = 1273/5 x

Cross multiplying,

5y =  1273x

To learn more about equation, visit:

https://brainly.com/question/10413253

#SPJ1

The required volume of the given shape is given as 432 cubic feet.

Given that,
A 3-dimensional shape with a hexagonal profile is given with dimension,
a = 6 in, H = 6 in and h = 4 in as shown in figure.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

here,
The volume of the given shape is,
Volume = 6/2[ah] × H
Substitute the value in the above expression,
Volume = 3 [4×6] × 6
Volume = 432 cubic feet,

Thus, the required volume of the given shape is given as 432 cubic feet.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ1

Answer:

instead of X, we replace 9.

So we have: f(9)=4*9^2-2*9+4.

Again, f(9)= 4*81-18+4=324-14=310.

Potential rational solution(s) to the above polynomial equation is ±1, ±2.

Actual rational solution are ±1, +2.

What is  polynomial equation?

Polynomial equations are those created using exponents, coefficients, and variables. The greater of its possible exponents is referred to as the equation's degree.

Main Body:

Given:

x³ - 2x² - x +2 = 0

We will use the Rational Root Theorem:

If the rational number r/s is a root of a polynomial whose coefficients are integers, then the integer r is a factor of the constant term, and the integer s is a factor of the leading coefficient.

So, if the constant therm is 2 and the leading factor is 1, candidates for roots are:

±1,±2

Dividing x³ - 2x² - x +2 = 0 by x-1, we get

x²-x-2 as quotient.

Splitting the middle term ,

⇒x² - 2x + x - 2

⇒x(x- 2) + 1(x-2)

⇒(x+1)(x-2)

so x= -1 , 2

Hence the rational solution to the equation are ±1, 2.

To learn more about polynomial equation click on the link below

https://brainly.com/question/28947270

#SPJ9

Means if a number is bigger than other number.

Answer:

Step-by-step explanation:

You want the equations of the horizontal and vertical lines that pass through (2, 3).

A horizontal line has an equation of the form ...

  y = c . . . . . for some constant c

The value of y is the same for every value of x.

To make such a line go through the point (2, 3), we must have ...

  y = 3

A vertical line has an equation of the form ...

  x = c . . . . . for some constant c

The value of x is the same for every value of y.

To make such a line go through the point (2, 3), we must have ...

  x = 2

The three inlet pipes, each working alone can fill the pool in 8 seconds, 12 seconds, and 16 seconds, respectively. it will take them 3.69 seconds  fill the pool

The problem requires to determine how long it takes to fill the pool when the three pipes are working simultaneously

let the time to fill the the pool when the three pipes are working simultaneously be y, such that

8 seconds pipe fills the pool in y/8 seconds

12 seconds pipe fills the pool in y/12 seconds

16 seconds pipe fills the pool in y/16 seconds

Adding the times together

y/8 + y/12 + y/16 = 1

13y/48 = 1

y = 48/13

y = 3.69 seconds

Learn more about time of filling pool at:

https://brainly.com/question/29222866

#SPJ1

Answer:

this is how to do it. Now find the answer

Step-by-step explanation:

find the common factor for the denominators, which is 30.

then × the numerator by however much you ×tl the denominator by to get 30

Answer:

x=5

Step-by-step explanation:

7x=70/2

7x=35

7x/7=35/7

x=5

Answer:

x=2 and =-4

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The x's go up by 1 (1, 2, 3, 4, 5)

The y's go up by 4's. 0, 4, 8, 12, 16

There is a rule to find the y's from the x's instead:

times by 4 and minus 4.

y = 4x - 4

y = 4(5) - 4

y = 20 - 4

y = 16

Answer:

[tex]d=-8[/tex]

Step-by-step explanation:

If the first term of a sequence is [tex]258[/tex] and the second term is [tex]250[/tex], then each successive term in the sequence is [tex]8[/tex] less than the previous term. Therefore, the common difference is [tex]-8[/tex] ( [tex]d=-8[/tex] ).

The formula representing the arithmetic sequence is:

[tex]a_n=-8n+266[/tex]

Therefore:

Term 1: [tex]a_1=-8(1)+266=-8+266=258[/tex]

Term 2: [tex]a_2=-8(2)+266=-16+266=250[/tex]

Term 3: [tex]a_3=-8(3)+266=-24+266=242[/tex]

…

Term 9: [tex]a_9=-8(9)+266=-72+266=194[/tex]

Answer:

The answer is 55, you can figure this out as each number is increasing by 10

a_n=-5+10n

hope it helps

The spoon holds 1250 milligrams of sugar if Kenneth needs to remove 12 spoonfuls.

We are given;

Kenneth is making a cake for the first time.

His recipe calls for 280 grams of sugar, but he accidentally pours 295 grams on his first try.

He uses a small spoon to remove the extra sugar.

He needs to remove 12 spoonfuls.

We need to find the quantity of sugar his spoon hold.

First, let us find the extra amount of sugar;

Extra sugar = 295 - 280 = 15 grams.

We will find each spoon by using the unitary method;

Since 12 spoonfuls hold 15 grams.

So, 1 spoonful holds 15 / 12 grams = 1.25 grams = 1250 milligrams.

So, 1 spoonful holds 1250 milligrams of sugar.

Thus, the spoon holds 1250 milligrams of sugar if Kenneth needs to remove 12 spoonfuls.

To learn more about unitary method visit:

https://brainly.com/question/23423168

#SPJ9

Answer:

154 legs

Step-by-step explanation:

40-3=37

37 times 4 = 148

3 times 2 ° 6

148+6= 154

Answer: 154 legs

Step-by-step explanation: First, multiply 37×4 because there are 37 cows with 4 legs, which gets you 148. Since there are 3 cows with only 2 legs, do 3×2=6. Finally, add 148 and 6 to get 154 legs.

please give brainliest!

The unit rate of the equation y = -4x + 2 is -4

From the question, we have the following equation

y = -4x + 2

The above equation is a linear equation

Linear equations are represented as

y = mx + c

Where

When the equations y = mx + c and y = -4x + 2 are compared, we have

Unit rate, m = -4

Y-intercept, c = 2

Note that all linear equations have a constant rate of change

Hence, the unit rate in the linear equation is -4

Read more about unit rate at

https://brainly.com/question/19493296

#SPJ1

The time spent exercising for a student who spends 6 hours texting is 6 hours.

The scatter plot is given in the question,

As per the given scatter plot, we take the two points (9, 1) and (3,7).

The equation of the line of best fit:

Let the approximate equation would be as:

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 9, y₁ = 1

x₂ =3, y₂ = 7

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

y - 1 = (7 - 1)/(3 - 9)](x - 9)

y - 1 = (- 6/6)(x - 9)

y - 1 =  -1(x - 9)

y = -x + 9+ 1

y = -x + 10 ...(i)

The time spent exercising by a student who spends 4 hours texting

This means that x = 4.

Substitute the value x =4 in the equation (i), and solve for y

y = -4 + 10

y = 6

Hence, the time spent exercising for a student who spends 6 hours texting is 6 hours.

Learn more about the Scatter plot here:

brainly.com/question/1386565

#SPJ1

The graph of the linear equation can be seen in the image at the end.

Here we have the linear equation:

y = -2x - 1

To graph this, we need to evaluate from x = -2 to x = 2, this means replacing the value of x by the correspondent number.

if x = -2, then:

y = -2*(-2)  - 1 = 4 - 1 = 3

So we have the point (-2, 3)

if x = -1

y = -2*-1 - 1 = 2 - 1 = 1

We have the point (-1, 1)

If x = 0

y = -2*0 - 1 = -1

We have the point (0, -1)

If x = 1

y = -2*1 - 1 = -3

We have the point (1, -3)

If x = 2

y = -2*2 - 1 = -5

We have the point (2, -5)

Now we just need to graph these 5 points on a coordinate axis and then connect them with a line, the graph of the linear equation can be seen below.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The value of g after solving the expression, 5/2-2g = 5g/2-3+g, is 1.

According to the question,

We have the following expression:

5/2-2g = 5g/2-3+g

Now, moving the terms with the same variables on one side and the integers on another side.

Note that when we move any number of term from one side to another which is in addition or subtraction will result in change of the sign from minus to plus and plus to minus.

5/2+3 = 2g+5g/2+g

Taking 2 as the least common factor on the left hand side and right hand side:

(5+6)/2 = (4g+2g+5g)/2

11/2 = 11g/2

Now, 11/2 on the left hand side can be divided by 11/2 on the right hand side:

g = 1

Hence, the value of g is 1.

To know more about value of g here

https://brainly.com/question/24724945

#SPJ1

Answer:

$35

Step-by-step explanation:

All you have to do is subtract 10 from 45 because it was $10 off and the original price was $45.

$17690 is the amount Michael owed his dad .

 Equations and equations of maximum degree 1 are also called "linear equations". The linear equation formula can be written as Y = mx + b. where m is the slope of the line, b is the y-intercept, and x and y are the variables. Slope indicates the direction and slope of the line. . This is because (0,y) is the point where the line intersects the y-axis.

The amount Michael owes is given by :

y = - 290x +18,560

x = number of months ; y = amount owed

Amount owed after 3 months :

Put x = 3 in the equation :

y= - 290(3) +18,560

y = - 870 + 18560

y = 17690

According to the general form of a linear equation :

y = mx + c

Where, m = slope ; c = intercept

The slope = - 290 ; Intercept = 18560

Slope is the change in y per unit change in x ; The slope means that amount owed, y decreases by 290 per month

The intercept shows that the original amount borrowed is 18560

Amount Michael owes his father decreases by 290 per month.

learn more about linear equation here :

brainly.com/question/13738061

#SPJ13

The value of the test statistic of the given problem is; -17.969

In statistics, hypothesis testing is simply a method used to test a claim about a population.

We are given;

Sample size; n = 1160

Sample proportion; p^ = 88% = 0.88

The percentage of 97% represents the proportion of a population and this tells us that we are making a claim about the population proportion (p) in the hypotheses.

We claim "fewer then 97%", which indicates less than 97% or 0.97:

p<0.97

The null hypothesis states that the population proportion is equal to the value mentioned in the claim.

H₀: p = 0.97

The claim is either the null hypothesis or the alternative hypothesis. If the null hypothesis is the claim, then the alternative hypothesis states the opposite of the null hypothesis.

Hₐ: p < 0.97

The value of the test-statistic is gotten from the formula;

z = (p^ - p)/(√(p(1 - p)/n))

z = (0.88 - 0.97)/(√(0.97(1 - 0.97)/1160))

z = -17.969

Read more about Test statistic at; https://brainly.com/question/4621112

#SPJ1

Answer:

c. 7/12

Step-by-step explanation:

There are 36 possible outcomes when you roll a die twice.

11, 12, 13, 14, 15, 16

21, 22, 23, 24, 25, 26

31, 32, 33, 34, 35, 36

41, 42, 43, 44, 45, 46

51, 52, 53, 54, 55, 56

61, 62, 63, 64, 65, 66

The desired outcomes are the ones whose first number is greater than or equal to the second number. They are shown in bold and underline above.

There are 21 desired outcomes.

p(first number ≥ second number) = 21/36 = 7/12

Answer: c. 7/12

Answer:

[tex] = \frac{10}{0.2} = \frac{100}{2} = 50 \\ = \frac{10}{0.02} = \frac{1000}{2} = 500 \\ = \frac{10}{0.002} = \frac{10000}{2} = 5000 \\ \\ [/tex]

hopefully that will help u

The possible cards can be made 6719448100.

What is permutation & combination?

Subsets of a set can be created in two separate ways combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.

We have,

Letters must only be consonants = 26 - 5.

So, the total number of consonants are 21.  

There are 21 choices for the first letter, 21 choices for the second letter,  21 choices for the thirds letter,  21 choices for the fourth letter. For each of these letters, therefore 21 × 21 × 21 × 21 = 194481 possible pairs of letters.

There are 10 possibilities for the first digit & 10 possibilities for the second. therefore there are 10 x 10 = 100 different numbers.

Combining these results, it follows that there are 67194481 x 100 =  6719448100 different cards.

Hence, The possible cards can be made 6719448100.

To learn more about the permutation & combination visit,

https://brainly.com/question/4658834

#SPJ9

The depreciation expense for each year to the new delivery truck purchased by Cookie Palace would be $4, 375.

When given the residual value, depreciation can be found using the straight - line method which has the formula:

= (Cost of delivery truck - residual value) / Number of years in estimated life

Solving for the depreciation expenses each year gives:

= (20, 000 - 2, 500) / 4

= 17, 500 / 4

= $4, 375

In conclusion, the depreciation to the delivery truck every year would be $4, 375.

Find out more on depreciation expense at https://brainly.com/question/25806993

#SPJ1

1. The completion of the inventory table is as follows:

2. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:

                                      LIFO           FIFO      Weighted-Average

Ending inventory          $425          $691                $573

Cost of goods sold      $492          $226               $344

FIFO (First-in, First-out) lies on the assumption that the physical flow of goods sold depends on the chronological order of acquisition.

LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.

The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.

LIFO:

Ending inventory = $425 ($917 - $492)

Cost of goods sold = $492 (12 x $20 + 12 x $21)

FIFO:

Ending inventory = $691 (9 x $11 + 17 x $20 + 12 x $21)

Cost of goods sold = $226 ($917 - $691)

Weighted Average:

Ending inventory = $573 (40 x $14.33)

Cost of goods sold = $344 (24 x $14.33)

                                    Units  Unit Cost    Total Cost

Jan. 1      Beg. Inventory  20     $8.00           $160

May 10   Purchases          15     $11.00           $165

June 30 Purchases          17    $20.00         $340

Dec. 10  Purchases          12    $21.00          $252

Total                                64                          $917

Units sold                       24

Ending inventory           40 (64 - 24)

Average cost = $14.33 ($917/64)

Learn more about the inventory methods at https://brainly.com/question/25056275

#SPJ1

2. Calculate the cost of the ending inventory and the cost of goods sold under LIFO, FIFO, and Weighted-Average.

Answer:

x = 147°

Step-by-step explanation:

To find x, we have to find the angle measures in the small triangle.

180 - 61 = 119° (sum of adjacent angles on straight line=180)

The other angle measure in the triangle is 28° because they are vertically opposite angles.

We subtract 119° and 28° to find the angle measure next to x.

180 - 119 - 28 = 33° (sum of angles in a triangle=180)

x = 180 - 33

= 147° (sum of adjacent angles on straight line=180)