Use the slope formula to find the slope between the given two points.
(5, 3) and (5, -9)

Answers

Answer 1

Answer:

Undefinded

Step-by-step explanation:

The slope between two points is the RISE/RUN.

Take 5he two given points to calculate the RISE and RUN:

(5,3) and (5,-9)

RISE:  (-9 - 3) = -12

RUN (5 - 5) = 0

RISE/EUN = 12/0 = UNDEFINED


Related Questions

the graph of y equals negative x - 4 shown below use the grass seeds form in which the ordered pair is a solution of the equation select all correct answers

Answers

[tex]\begin{gathered} y=-x-4 \\ \end{gathered}[/tex]

The solution are

[tex]\begin{gathered} y=-1-4=-5 \\ (1,-5) \end{gathered}[/tex][tex]\begin{gathered} y=4-4=0 \\ (-4,0) \end{gathered}[/tex]

The answer is B and D.

Calculate the simple interest on $8,500 at an 8% interest rate for 6 months.

Answers

The simple interest formula is

[tex]I=P\cdot r\cdot t[/tex]

Where P is the principal, r is the interest rate and t is time in years.

Replacing the given information, we have

[tex]I=8,500\cdot0.08\cdot\frac{6}{12}=340[/tex]Therefore, the simple interest would be $340.

5. Find the selling Price of an item that originally cost a store $70 was marked up20% and then after no selling for 6 months was discounted 10%?

Answers

Answer:

$75.6

Explanation:

If the original cost was $70 and it was marked up 20%, the price after this is calculated as:

$70 + $70(0.2) = $70 + $14 = $84

Where $70(0.2) = $14 is the amount added to the original when it is marked up 20%.

Then, it was discounted 10%, we get that the selling price is

$84 - $84(0.1) = $84 - $8.4 = $75.6

Where $84(0.1) = $8.4 is the discount made on the initial price.

Therefore, the answer is $75.6

how do you know when to add or subtract when doing the distributive property for (2-6s)(-5)

Answers

[tex](2-6s)(-5)=30s-10_{}[/tex]

Here, we want to use the distributive property

To use this, the operator at the middle of the two initial terms will tell us the sign to use

Looking at the first expression, we can see a negative sign between 2 and -6s

Thus, in this case, when using the distributive property, we proceed as follows;

[tex]\begin{gathered} (2-6s)(-5)\text{ = (2}\times(-5))\text{ - (6s}\times(-5)) \\ =\text{ -10 - (-30s)} \\ =\text{ -10 +30s = 30s-10} \end{gathered}[/tex]

PLEASE HELP ASAP!! THANKS IN ADVANCE! :)

Simplify.

Answers

Answer:

[tex]\frac{(x+3)(x-1)}{x}[/tex]

Step-by-step explanation:

So the first thing you want to do is factor out the polynomials.

[tex]x^2+4x+3 ; (x+3)(x+1)[/tex]

[tex]x^2+x; x(x+1)[/tex]

[tex]2x^2-3x+1; (2x-1)(x-1)[/tex]

Once you have factored these out, you can write out the division using keep-change-flip;

[tex]\frac{(x+3)(x+1)}{2x-1}*\frac{(2x-1)(x-1}{x(x+1)}[/tex]

Before trying to multiply all of the factors, rule out factors that appear both in the numerator and the denominator;

[tex]\frac{(x+3)}{1}*\frac{(x-1)}{x}[/tex]

Now you can multiply the fractions and receive [tex]\frac{(x+3)(x-1)}{x}[/tex]

HELP?
Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime? (5 points)

Group of answer choices

5 units

2 units

4 units

3 units

Answers

The length of A'B' = 5 units

The line segment AB is of 5 units. AB is then transformed through translation of 3 units to the right.

The translation only means change through a straight line. This transformation does not change the length of a line segment.

So the length of A'B' will also be 5 units.

But the position of A'B' will be different from that of AB on the co-ordinate plane. To be exactly, A'B' would be 3 units right to the position of AB on the co-ordinate plane.

Also the co-ordinates of A'B' will be different. Still their lengths will be same.

Thus the length of A'B' = 5 units

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david and daniel were given the same number of dollars by their father. david earned money doing chores until he had twice as much as he started with. daniel didn't earn any more, but he reciaved $12 for his birthday. if the boys still have the same amount of money, how much did their father give each one?

Answers

David and Daniel were given $12 each in the beginning as the given condition.

What are conditions?

A condition that must be met in order for the given statement or theorem to hold. also known as a problem.A necessary condition is one that must exist in order for the given statement to be true (if satisfied it maybe true as there maybe more than one necessary conditions). On the other hand, a sufficient condition is one that, even if it is satisfied, does not automatically imply that the proposition is true.

Let david and daniel were given = $x each as per statement.

at the end david had = 2x

and daniel had= x+12

Condition is given that : in the end,  the boys still have the same amount of money.

Therefore, equating both what David and Daniel had

2x=x+12

x=12

David and Daniel were given $12 each in the beginning as the given condition.

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Write an algebraic expression to model this word phrase: The quotient of the sum of 6 and a number, x, and 4

Answers

Answer:

(6+x)/4

Step-by-step explanation:

Volume of a conical heap of salt that is 3.5 meters in diameters high

Answers

No height value is given, thus the volume cannot be found. The equation is:

1/3πr²h, r = d/2
1/3π(d/2)²h
1/3(3.14)(3.5/2)²h
1/3(3.14)(1.75)²h
1/3(3.14)(3.0625)h
1.053(3.0625)h
3.22h

The volume of the cone is approximately 3.22h.

V : 33= 7 : 11 what is the answer to this please

Answers

The value of V illustrated in the ratio V : 33= 7 : 11 is 21.

What is a ratio?

It should be noted that a ratio is simply used to show the relationship between the variables and illustrate the comparison.

In this case, the value of V can be illustrated as:.

V/33 = 7/11

Cross multiply

11V = 33 × 7

V = (33 × 7) / 11

V = 21

Therefore, V is 21.

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Rewrite as a simplified fraction 3.16

Answers

Answer: 3 4/25

Step-by-step explanation:

what is the answer to1 /2 ÷ –4 /7

Answers

Answer:1/2-1/4

(1/2x2)-1/4

2/4-1/4

2-1

1

1/4

Step-by-step explanation: i did this good luck

Question NEEDS ANSWERING
Evaluate. (−13+0.6(−12)+1)2 What is the value of the expression? Enter your answer as a simplified fraction in the box.

Answers

The numeric value of the given expression is as follows:

121/900.

Numeric value of expression

The expression is defined as follows:

[tex]\left(-\frac{1}{3} + 0.6\left(-\frac{1}{2}\right) + 1\right)^2[/tex]

The parenthesis take precedence. If there are more than one parenthesis, the inside one takes precedence.

The fraction equivalent of 0.6 is of 3/5, hence:

[tex]\left(-\frac{1}{3} + \frac{3}{5}\left(-\frac{1}{2}\right) + 1\right)^2[/tex]

Solving the internal parenthesis, the expression is:

[tex]\left(-\frac{1}{3} - \frac{3}{10} + 1\right)^2[/tex]

The least common multiple of 3, 10 and 1 is of 30, hence:

[tex]\left(-\frac{1}{3} - \frac{3}{10} + 1\right)^2 = \left(\frac{-10 - 9 + 30}{30}\right)^2 = \left(\frac{11}{30}\right)^2[/tex]

To find the square of the fraction, we find the square of the numerator and the denominator, hence the numeric value of the expression is:

121/900.

Missing information

The expression is:

[tex]\left(-\frac{1}{3} + 0.6\left(-\frac{1}{2}\right) + 1\right)^2[/tex]

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if G(x)=−3x+5, find: G(x-4)

Answers

Answer:G(x-4)=-3x+17

Step-by-step explanation:

First, replace everywhere in the equation that there is x to (x-4)

then you simplify it

=-3(x-4)+5

=-3x+12+5

=-3x+17

C1 Determine the Greatest Common Factor of polynomials

Answers

To find the greatest common factor of a polynomial, find a number that all of its coefficients are divisible by, for example, the GCF of an 8x 2 + 4x + 2 is 2 because all of the coefficients (8, 4, 2) are divisible by 2 and the expression simplifies to 2(4x2 + 2x + 1).

What is the Greatest Common Factor?

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. The GCF of 12, 20, and 24 is 4 because it is the largest.

To find the greatest common factor of a polynomial,  find a number that all the coefficients of the polynomial are divisible by i.e. the GCF of a 8x^2 + 4x + 2  is 2 because all the coefficients (8, 4, 2) are divisible by 2 and the expression simplifies to 2(4x^2 + 2x + 1).

The GCF can be smaller than the smallest coefficient, for example 20x^2 + 15x + 10 (GCF is 5, smallest coefficient is 10) and 5 < 10. However it cannot be larger than the smallest coefficient.

Therefore the smallest coefficient should be larger than or equal to the GCF in order to be divisible.

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What is the probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll?
% (answer as a percent round to the nearest whole percent)

Answers

The probability of rolling dice twice

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Total no. of outcomes = 6

The probability of getting a 1,2 or 3 from the first rolling is 3/6.

The probability of getting a 5 or 6 from second rolling is 2/6

As the two rollings are independent,

you can just multiply two probability values to come up with a final answer.

Which is,

             = (3/6) x (2/6)

             = (1/2) x (1/3)

             = (1/6)

The probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll is 1/6 or 0.16

Probability in % will be

                                   0.16 x  100/100

                                        = 16%

Hence, The probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll is 16%

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Find JKL and LKM if JKM = 140.

Answers

The measure of angles JKL and LKM are 100° and 40° respectively.

What is a supplementary angle?

A supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can logically deduce that the sum of angles JKL, LKM and JKM are not supplementary angles:

m∠JKL + m∠LKM = m∠JKM

Substituting the given parameters into the formula, we have;

4x° + (2x − 10)° = 140°

6x° − 10 = 140°

6x° = 140° + 10°

6x° = 150°

x° = 150/6

x = 25°

For angle JKL, we have:

m∠JKL = 4x

m∠JKL = 4(25)

m∠JKL = 100°.

For angle LKM, we have:

m∠LKM = 2x − 10

m∠LKM = 2(25) − 10

m∠LKM = 50 − 10

m∠LKM = 40°

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Write the equation in slope intercept form. -5y + 10x = 20 help meeee

Answers

y=2x+4
Explanation:
Slope intercept form is represented as:
y = mx + c,
where, m is slope and c is y-intercept.
Our objective is to convert the given equation into this form, with only y on the LHS with a coefficient +1. This can be done as follows:
Given,
10x−5y=−20 or, −5y=−10x−20 or,
−5y=−5(2x+4)

Therefore,
y=2x+4

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $24,149. The variable costs will be $11.50 per book. The publisher will sell the finished product to bookstores at a price of $21.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

The publisher should produce and sell 2356 books so that the production costs will equal the money from sales.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $24,149. The variable costs will be $11.50 per book. The publisher will sell the finished product to bookstores at a price of $21.75 per book.

Assume the number of books to be printed be [x].

Then, we can write -

24149 + 11.50x = 21.75x

21.75x - 11.5x = 24149

10.25x = 24149

x = 2356 books

Therefore, the publisher should produce and sell 2356 books so that the production costs will equal the money from sales.

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Kylie buys a two-quart bottle of juice for $9.60. What is the unit rate of the
cost of the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question
below.
How many fluid ounces of juice did Kylie buy?

Answers

Answer:

Answer 1:$0.15(15 cents) is the unit rate.

Answer 2:Kylie bought 64 fluid ounces.

Step-by-step explanation:

Step 1

2 quarts=4 pints

4 pints=8 cups

8 cups=64 fluid ounces

Step 2

$9.60÷64=0.15$

I need help to understand why there is a 12 in the formulaThe repayment parameters of the $10,000 loan Trey qualifies for are given as follows; = $185.48 × 5 × 12 = $11,128.8While the total repayment amount for the 10 year loan term, '' is given as follows; = $102.63 × 10 × 12 = $12,315.6The difference between the total repayment for the 10-year term and the 5-year term loan, - , is given as follows; - = $12,315.6 - $11,128.8 = $1,186.80Therefore, the 5-year term is lower than the 10-year term by $1,186.80

Answers

Given the monthly payments for each one of the two terms, we can calculate the total repayment of the 5-year and 10- years term.

As for the 5-year plan,

[tex]\begin{gathered} 5\cdot12=60\to\text{months in 5 years} \\ 60\cdot185.48=11128.8 \end{gathered}[/tex]

Similarly, for the 10-year plan,

[tex]\begin{gathered} 10\cdot12=120\to\text{months in 10 years} \\ 120\cdot102.63=12315.6 \end{gathered}[/tex]

Finally, the difference between these two quantities is

[tex]12315.6-11128.8=1186.8[/tex]

The answer is 'The 5-year term would be 1186.80 lower', option B

find the area of a circle

Answers

Answer: 3.14 * 3^2 = 28.26

Answer:28.26

Step-by-step explanation:

1/2 (9+8) please answer

Answers

Step-by-step explanation:

8.5 I believe is the answer

write an inequality to represent the following problem:
6 less than a number greater than four

Answers

The inequality that represents the problem "6 less than a number greater than four" is x - 6 > 4.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Consider the statement,

6 less than a number greater than four.

Let x be the number.

The symbol " > " can be represented as a number greater than another.

Then 6 less than a number greater than 4 can be represented as:

x - 6 > 4

The inequality x - 6 > 4 can be represented for the problem " 6 less than a number greater than four".

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Write an equation for the line that passes through (2, 5) and (6, 7). You may use graphing paper as needed for this question.

Enter in the equation below:

Answers

The equation of the line that passes through the point (2, 5) and (6, 7) is

y = (1/2)x + 4.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We have,

The equation of a line passes through points (2, 5) and (6, 7).

The equation of a line can be written as:

y = mx + c ______(1)

Points (2, 5) and (6, 7) must satisfy line (1).

5 = 2m + c _____(A)

7 = 6m + c ______(B)

From (A),

c = 5 - 2m

Putting in (B).

7 = 6m + 5 - 2m

7 = 4m + 5

2 = 4m

m = 1/2

Putting in (A) we get,

5 = 2 x 1/2 + c

5 = 1 + c

c = 4

Now,

The equation of the line is:

y = (1/2)x + 4.

Thus,

The equation of the line that passes through the point (2, 5) and (6, 7) is

y = (1/2)x + 4.

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Find the perimeter.
15 24/14
14
10/
12²/
12/3/1
10/1/
35 -/-/
Perimeter = 119
Simplify your answer completely.
?

Answers

[tex]\displaystyle\\Answer:\ 119\ \boxed{\frac{4}{7} }[/tex]

Step-by-step explanation:

[tex]\displaystyle\\P=10\frac{1}{7}+12\frac{2}{7}+15\frac{3}{14} +24\frac{1}{14} +12\frac{2}{7} +10\frac{1}{7}+35\frac{3}{7} \\\\P=(10\frac{1}{7}+12\frac{2}{7}+12\frac{2}{7} +10\frac{1}{7}+35\frac{3}{7})+(15\frac{3}{14} +24\frac{1}{14}) \\\\P=(\frac{71}{7} +\frac{86}{7} +\frac{86}{7}+\frac{71}{7} +\frac{248}{7} )+(\frac{213}{14}+\frac{337}{14})\\\\[/tex]

[tex]\displaystyle\\ P=\frac{71+86+86+71+248}{7} +\frac{213+337}{14} \\\\P=\frac{562}{7} +\frac{550}{14} \\\\P=\frac{562}{7}+\frac{2(275)}{2(7)} \\\\P=\frac{562}{7} +\frac{275}{7}\\\\P=\frac{562+275}{7} \\\\P=\frac{837}{7}\\\\P=119\frac{4}{7}[/tex]

let's firstly convert the mixed fractions to improper fractions and then add them up.

[tex]\stackrel{mixed}{10\frac{1}{7}}\implies \cfrac{10\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{71}{7}} ~\hfill \stackrel{mixed}{12\frac{2}{7}}\implies \cfrac{12\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{86}{7}} \\\\\\ \stackrel{mixed}{15\frac{3}{14}}\implies \cfrac{15\cdot 14+3}{14}\implies \stackrel{improper}{\cfrac{213}{14}} ~\hfill \stackrel{mixed}{24\frac{1}{14}}\implies \cfrac{24\cdot 14+1}{14}\implies \stackrel{improper}{\cfrac{337}{14}}[/tex]

[tex]\stackrel{mixed}{35\frac{3}{7}}\implies \cfrac{35\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{248}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{71}{7}+\cfrac{71}{7}+\cfrac{86}{7}+\cfrac{86}{7}+\cfrac{213}{14}+\cfrac{337}{14}+\cfrac{248}{7}\hspace{5em}\textit{so we have an LCD of 14} \\\\\\ \cfrac{(2)71+(2)71+2(86)+2(86)+(1)213+(1)337+2(248)}{14} \\\\\\ \cfrac{1674}{14}\implies \cfrac{837}{7}\implies 119\frac{4}{7}[/tex]

What will be the answers to these questions?

Answers

(a). 4,5,6,7,...... , ......

The term-to-term rule is Aₙ = Aₙ₋₁ + 1The next numbers in the sequence is 8 , 9The position-to-term rule is Aₙ = 1 + (n - 1)*1Consecutive rule is works for the first three terms.

(b) . 10,11,12,13,......,......

The term-to-term rule is Aₙ = Aₙ₋₁ + 1The next numbers in the sequence is 14 , 15The position-to-term rule is Aₙ = 1 + (n - 1)*1Consecutive rule is works for the first three terms.

(c) . 24,25,26,27,.....,....

The term-to-term rule is Aₙ = Aₙ₋₁ + 1The next numbers in the sequence is 28 , 29The position-to-term rule is Aₙ = 1 + (n - 1)*1Consecutive rule is works for the first three terms.

(d) . 1,3,5,7,......,.....

The term-to-term rule is Aₙ = Aₙ₋₁ + 2The next numbers in the sequence is 9 , 11The position-to-term rule is Aₙ = 2 + (n - 1)*2Consecutive rule is works for the first three terms.

Here we have the sequence:

(a) . 4,5,6,7,...,.....

To check this, let's find the difference between the consecutive terms:

5 - 4 = 1

6 - 5 = 1

7 - 6 = 1

(i) . The term-to-term rule is the rule that defines the [tex]n^{th}[/tex] term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 1

(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:

7 + 1 = 8

8 + 1 = 9

The next numbers in the sequence is 8 , 9

(iii) . The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 1

Then, the [tex]n^{th}[/tex] term will be A₁ plus (n - 1) times 1.

Then the rule is:

Aₙ = A₁ + (n - 1)*1

Replacing A₁ by its value, the rule becomes:

Aₙ = 1 + (n - 1)*1

(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

5 - 4 = 1

6 - 5 = 1

7 - 6 = 1

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 1.

Hence, Consecutive rule is works for the first three terms.

(b) . 10,11,12,13,.......,......

To check this, let's find the difference between the consecutive terms:

11 - 10 = 1

12 - 11 = 1

13 - 12 = 1

So, b is same to a.

(c) . 24,25,26,27,......,.....

To check this, let's find the difference between the consecutive terms:

25 - 24 = 1

26 - 25 = 1

27 - 26 = 1

(i) . The term-to-term rule is the rule that defines the [tex]n^{th}[/tex] term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 1

(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:

27 + 1 = 28

28 + 1 = 29

The next numbers in the sequence is 28 , 29

(iii) . The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 1

Then, the [tex]n^{th}[/tex] term will be A₁ plus (n - 1) times 1.

Then the rule is:

Aₙ = A₁ + (n - 1)*1

Replacing A₁ by its value, the rule becomes:

Aₙ = 1 + (n - 1)*1

(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

25 - 24 = 1

26 - 25 = 1

27 - 26 = 1

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 1.

Hence, Consecutive rule is works for the first three terms.

(d) . 1,3,5,7,......,......

To check this, let's find the difference between the consecutive terms:

3 - 1 = 2

5 - 3 = 2

7 - 5 = 2

(i) . The term-to-term rule is the rule that defines the [tex]n^{th}[/tex] term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 2

(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:

7 + 2 = 9

9 + 2 = 11

The next numbers in the sequence is 9 , 11

(iii) . The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 2

Then, the [tex]n^{th}[/tex] term will be A₁ plus (n - 1) times 1.

Then the rule is:

Aₙ = A₁ + (n - 1)*1

Replacing A₁ by its value, the rule becomes:

Aₙ = 2 + (n - 1)*2

(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

3 - 1 = 2

5 - 3 = 2

7 - 5 = 2

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 2.

Hence, Consecutive rule is works for the first three terms.

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Can someone please help me with these asap and show a step by step?

Answers

The width of prism is 9yards.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.

Given Data

Rectangular prism:

Volume = 990 yd³

Length = 10 yards

Height = 11 yards

Volume of rectangular prism = Length× Height× Width

990 = 10 ×11× width

Width = [tex]\frac{990}{10(11)}[/tex]

Width = 9

The width of prism is 9yards.

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a drawing of a surboard in a catalog shows it's length as 8 1/2 inches. find the actual length of surfboard if 1/2 inch length on the drawing correspond to 3/8 foot of actual length.

Answers

The actual length of surfboard based on the information is 6 3/8 feet.

How to calculate the length?

From the information illustrated, the drawing of a surboard in a catalog shows it's length as 8 1/2 inches.

The actual length of surfboard if 1/2 inch length on the drawing correspond to 3/8 foot of actual length will be illustrated thus:

Let the actual length be x.

1/2 / 3/8 = 8 1/2 / x

0.5 / 0.375 = 8.5 / x

Cross multiply

0.375 × 8.5 = 0.5x

x = (0.375 × 8.5) / 0.5

x = 6.375 = 6 3/8 feet

The length is 6 3/8 feet.

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138×14÷28+209

A)278
B)288
C)298
D)388

Answers

Answer: A

Step-by-step explanation:

First you multiply 138 x 14 =1932 then divide 28 then you have 69 then add 209 then you have 278.

sorry if its wrong.

Answer:

A) 278

Step-by-step explanation:

Use PEMDAS for order of operations:

Start with anything in parentheses, and then operations are performed on any exponents (also called powers). Next, perform operations on multiplication or division from left to right. Finally, operations on addition or subtraction are performed from left to right.

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