Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram?

A)2 cm and 2 cm
B)4 cm and 7 cm
C)7 cm and 9 cm
D)13 cm and 19 cm

Answers

Answer 1

To find this, set the opposite ends equal to one another and solve for n

5n-6 = 3n-2 subtract 3n from both sides
2n-6 = -2 add 6 to both sides
2n = 4 divide both sides by 2
n=4

now use this to solve for the sides
5n-6
5(2) -6
4
and
2n+3
2(2) +3
7
adjacent means next to each other so it is 4 and 7 +B

Brainliest is always appreciated !

Related Questions

2-5|5m-5|=-73 absoute value

Answers

solutions i found was m=4 or m=-2

Wouldn't the answer be m=4 or m=−2..

Point E has a negative x-coordinate, and its y-coordinate is not 0
Where could point E be located on the coordinate plane?

Answers

Quadrants II and III

Evaluate 0!÷1!.

0
1
undefined

Answers

UNDEFINED YOU CANT DEVIDE BY 0 MAN

Answer:

it is actually not undefined because of the (!), due to this the answer is 1

Step-by-step explanation:

0! 1 5! 120

1! 1 6! 720

2! 2 7! 5,040

3! 6 8! 40,320

4! 24 9! 362,880

those are the factorial calculations

what is the distance between 0 and 7/10?

Answers

um i think the answer would be 7/10?

A basketball player is 15 ft horizontally from the center of the basket, which is 10 ft off the ground. At what angle should the player aim the ball if it is thrown from a height of 8.2 ft with a speed of 29 ft/s ?

Answers

the direction of path should be inclined at and angle of
sin (theta) = (10 - 8.2)/ 15 = 3 / 25
this angle is the ratio of the vertical displacement of the projectile and the horizontal displacement of the projectile.time taken to reach the top most point can found out by by using the formula v = u + at in the vertical direction
intial velocity in vertical direction = 29 sin (theta)
final velocity in vertical direction = 0
acceleration in vertcal direction = - 32 ft / s^2 so u will get the time to be 29 sin (theta) / 32
vertical displacement = [29 sin (theta)] [(29 sin ( theta)/32)] - (1/2)32 [(29 sin (theta)/32)]^ 2
horizontal displacement = [29 cos ( theta )] * 29 sin (theta) / 32
vertical displacement / horizontal displacement= 3/25
if u substitute the values u will get tan (theta) = 6 / 25

What is the solution to the equation -2n -2 / 3 =12 ? n =

Answers

the answer is n= -19/3

Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the graph.

Answers

1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36

2) x-intercept => y = 0 => factor the function (start by dividing by x -2)

f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)

3) critical points:

between x = 2 and x = 3, there is a local maximum

between x =3 and x = 6 there is a local minimum

3) Shape.

The function comes growing from - infinity.

In the third quadrant the function is negative (it does not pass throuhg the second quadrant)

It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.

It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.

Serena drove 40 km on 3 L of gasoline. Which of the following would be an equation to help you find out how far she can travel on a full tank of 50 L? Serena drove 40 km on 3 L of gasoline. Which of the following would be an equation to help you find out how far she can travel on a full tank of 50 L?

Answers

So here is the solution to the given problem above.
Given that Serena drove 40km on 3L of gasoline, we can say that she drove 13.33 kilometers per liter of gasoline. Since we want to find out how far she travelled with a full tank of 50L, we will only multiply 13.33 by 50 and we get 666.67 kilometers. So the answer would be 666.67 kilometers for 50 L of gasoline. Hope this helps.

What is 8/25 as a percentage?

Answers

I think the answer would be 32%

Which is greater 2 gallons or 8 liters?

Answers

1 gallon equals to 3.79 litres approximately
so 2 gallons=7.58 litres , therefore 8 litres are greater than 2 gallons

Philip charges $12 to rake the yard she charges $5 per hour to bag the piles of leaves for 2 hours what is the expression

Answers

Philip makes $22 in 2 hours

If you pay for $25.00 for purchase which includes 11% sales tax. how much is the sale tax?

Answers

10% = $25.00 / 10
= $2.50

1% = $25.00 / 100
$0.25

Add them together to get 11%.

$0.25 + $2.50 = $2.75

Please make this the brainiest answer :3.

Sales tax is $ 2.75

Further Explanation

How to calculate

Tax = $ 25.00 x (11/100)

Tax = $ 25.00 x 0.11

Tax = $ 2.75

Initial purchase of $ 22.25 + 11% Tax ($ 2.75) = $ 25.00

Or other alternatives:

11% tax

n = sales tax value

11% = $ 25.00 / n

n = $ 25.00 x 11%

n = ($ 25.00 x 11) / 100

n = $ 275/100

n = $ 2.75

So, the sales tax is $ 2.75

Sales tax (VAT) is tax before Value Added Tax (VAT) and is charged each time a sales transaction. A VAT is charged at the manufacturer level / not to retailers (end users). A VAT is collected when delivering goods or services.

Definition of Tax Debt

Debt is an engagement as a result of a special agreement called a debt payable, which requires the debtor to pay the amount of money he has borrowed from creditors.

Sales tax / value-added debt or Sales tax payable is the company's debt to the tax office for sales tax collected by the company from customers for the sale of goods/services. Sales tax rates are deposited by the tax office multiplied by sales / net sales (net sales).

Example

$ 12 cash sale including 10% VAT

Tax Amount: 10 / ÷ 100 × 12 = $ 1.2

Sales Amount: 12 - 1.2 = $ 10.8

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Details

Class: High School

Subject: Mathematics

Keywords: VAT, Tax, Sales

A first number plus twice a second number is 13 twice the first number plus the second totals 20 find the numbers

Answers

Call the first number A and the second number B.
A + 2B = 13
2A + B = 20
Solve these equations. You will get the equation
3B = 6. Therefore, B = 2.
Put this into either of the equations to find that A = 9. You can then check by putting A = 9 and B = 2 into both the equations to see if it is true. In this case, it is. Therefore, the solution is A = 9, B = 2.

A = 9, B = 2.

Which law would you use to simplify the expression (x^⁴)⁹ ?

A. product of powers
B. power of a product
C. power of a quotient
D. power of a power

Answers

the answer is
D. power of a power

x^⁴)⁹ = (x^4*9)= x^36

if you see this similar format you will recognize the equation as power of a power ^^•

Given the set of numbers (3, 5, 7, 11, 23), what number must be added to the set so that the median of the 6 numbers is 9? what number must be added to the set so that the mean of the 6 numbers is 9?

Answers

easy

median is the number in the middle when they are arranged in increasing numerical order
example
1,2,3
median is 2 becaus it is in middle
1,4,6,7,8
6 is median

if you have an even amount then average the middle two
1,3,5,7
median is the mean of 3 and 5 which is 4

so

3,5,7,11,23
median is 7 right now
there are an odd amout of numbers
adding 1 will result in even
to find the median of even set of numbers, average the 2 middle ones
right now 7 is center
the mean of 5 and 7 is 6
the mean of 7 and 11 is 9
we want a mean of 9
so add any number greater than or equal to 11
3,5,7,11,12,23 is one option
3,5,7,11,23,50 is another

mean is 9
mean is the average of them
x is the number to be added
6 numbers will be the set since there are 5 now and adding 1 will get 6
(3+5+7+11+23+x)/6=9
(49+x)/6=9
times both sides by 6
49+x=54
minus 49 both sides
x=5

the number added must be 5

to make the median of the 6 numbers 9, add any number greater than or equal to 11, such as 12 or 234

to make the mean 9, add 5 to the set

The Shelby University rose garden is a rectangular shape with an area of 192 square feet. The dimensions of the garden are x^2 feet wide by x^2– 61 feet long. How wide is the garden?
a. 3 feet c. 64 feet
b. 8 feet d. 131 feet
...?

Answers

c. 64 ft

x² = 64
(64 - 61) x 64 = 192

45 equals the quotient of a number n and 3

Answers

This means that n=45(3), which is 135.

Final answer:

The equation representing the student's question is 45 = n / 3. To find n, we multiply both sides by 3, resulting in n = 135.

Explanation:

The student's question, "45 equals the quotient of a number n and 3," can be translated into a mathematical equation. The word 'quotient' indicates a division operation. We set up the equation as 45 = n / 3.

To find the value of n, we multiply both sides of the equation by 3, giving us 3 * 45 = n. Therefore, n equals 135. The solution to this problem demonstrates how to manipulate an equation to solve for an unknown variable.

In this question, 45 is equal to the quotient of a number, represented by n, and 3.

We can represent this equation as:

45 = n / 3

To find the value of n, we can multiply both sides of the equation by 3:

45 * 3 = n

Therefore, n is equal to 135.

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AT THANKSGIVING DINNER, EMMA'S FAMILY ATE 1/3 OF A PUMPKIN PIE. WHAT FRACTION OF THE PIE WAS LEFT OVER?

Answers

3/3-1/3=2/3 of pie is left over

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Total pumpkin in fraction = 1

= 1 - 1/3

= 2/3

The fraction of the pie left over is 2/3

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Amount of pumpkin pie eaten by the family = 1/3

Let the total pumpkin in fraction = 1

Now,

The fraction of the pie left over.

= 1 - 1/3

= (3 -1)/ 3

= 2/3

Thus,

The fraction of the pie left over is 2/3

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The radius,
R
, of a sphere is
5.8m
. Calculate the sphere's volume,
V
.
Use the value
3.14
for
π
, and round your answer to the nearest tenth.

Answers

V=(4/3)πr^3
(4/3)*π*5.83≈817.28323 or Rounded to the nearest tenth, 817.3

Which of the following is a factor of 3x3 + 18x2 + 27x?

9x

x3

x + 3

x - 3

Answers

I hope this helps you

3x (x^2+6x+9)

3x (x+3). (x+3)

3x. (x+3)^2

So based on the given expression above, that factor of 3x3 + 18x2 + 27x would be x + 3. So the answer is the third option. So how did we get x + 3. Firstly, we factor the given expression by 3x. So, it would look like this.
3x (x+3)(x+3). Hope this is the answer that you are looking for.

If m arc AB = 120°, then which of the following have measures of 60°? (pick as many as you want)

a)∠ADB
b)∠ACD
c)∠BCA
d)∠BAD
e) m arc BC

Answers

<BCA, <ADB, measures 60 degrees.

The correct answers are:

a)∠ADB; and c)∠BCA.

Explanation:

The measure of an intercepted arc is twice as much as the measure of its inscribed angle. AB corresponds with both ∠ADB and ∠BCA. Since the arc is 120°, each angle would be half of that, or 60°.

Which of the following is the expansion of (2m - n)7?

Answers

-7n plus 14 ;)

Is what I got.

Answer: 128m⁷ - 448m⁶n + 672m⁵n² - 560m⁴n³ + 280m³n⁴ - 84m²n⁵ + 14mn⁶ - n⁷

Step-by-step explanation:

2023 edge

An electrician charges a $50 house call fee and $65 per hour for work

Answers

Can't fully answer this because there is no question just information but to solve your question as best as possible the equation is:

A=65x + 50

A= Answer
X = number of hours

a student finds the slope of a line between (14,1) and (18,17). she writes 1-17/18-14 what mistake did she make?

Answers

she substract 18 from 14 she supposed to subtract 14 from 18

Answer:

Mistake was in denominator.

Step-by-step explanation:

If a line passes through two points ( a, b ) & ( c, d )

Then slope of this line will be = [tex](\frac{d-b}{c-a})[/tex]

Now we come to the question.

a student finds the slope of a line passing through ( 14, 1 ) and ( 18, 17 ) as

slope = [tex](\frac{1 - 17}{18-14})[/tex]

This formula is not the form of [tex](\frac{d-b}{c-a})[/tex]

Accurate answer should be

slope = [tex](\frac{1-17}{14-18})[/tex]

So mistake was in denominator.

Suppose that there were a negative correlation between the variables a and b. If b is 90 when a is 8, which of these is most likely to be the value of b when a is 16?
A. 105
B. 120
C. 90
D. 45

Answers

I think this is D.45 but not to sure about that

Answer:

45 is correct

Step-by-step explanation:

You know that a certain trait occurs in 30% of the population. You want to know how many individuals you have to draw from the population, on average, to get three subjects with the trait.

Answers

Final answer:

To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution. The average number of trials until the third success can be calculated by dividing 1 by the probability of success.

Explanation:

To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution.

The probability of success (finding an individual with the trait) is 30% or 0.30, and the probability of failure is 70% or 0.70.

To calculate the average number of trials until the third success, you divide 1 by the probability of success:
1 / 0.30 = 3.33

Therefore, on average, you would have to draw from the population about 3.33 individuals to get three subjects with the trait.

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A mall distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load. The loading equipment is able to handle as many as 200 loads per day.

Let x be the number of loads by land carriers and y the number of loads by air carriers. Which system of inequalities represents the situation?

Options:
1500x+2000y>=150,000 x+y>=200
2000x+1500y>=150,000 x+y>=200
2000x+1500y<=150,000 x+y<=200
1500x+2000y<=150,000 x+y<=200 ...?

Answers

2000x+1500y<=150,000 x+y<=200
is the correct option

Answer: [tex]2000x+1500y\leq150,000[/tex]

[tex]\Rightarrow x+\leq200[/tex]

Step-by-step explanation:

Let x be the number of loads by land carriers and y be the number of loads by air carriers.

Given: A mall distribution center processes as many as 150,000 pieces of mail each day.

Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load.

[tex]2000x+1500y\leq150,000[/tex]

The loading equipment is able to handle as many as 200 loads per day.

[tex]\Rightarrow x+\leq200[/tex]

Hence, the system of inequalities represents the situation is

[tex]2000x+1500y\leq150,000[/tex]

[tex]\Rightarrow x+\leq200[/tex]

When you add the number 1, and then add 1, what do you get??

Answers

1+1=??? to figure this out use pictures:
pretend 'a' is 1. That means:
a+a=aa
Now how many 'a' are there in the answer. There are 2
There for the answer is 2

Find the coordinates for the vertex of the graph of the function y = 3x^2- 12x + 12

Answers

first, you have to put the graph in vertex form by factoring. there is a GCF of 3, so take it out of the equation.
3(x²-4x+4).
now do bottoms up method.
1 × 4= 4, and -4 is the middle number.
-2 and -2 multiply to 4 and add up to -4.
factor: 3(x-2)(x-2). vertex form 3(x-2)²
vetex coordinates: (2,0)

Five boxes of candles contain a total of 60 candles. each box holds the same number of candles.

Answers

divide 60 by 5 and you get 12 candles

Answer:

60/5=12

Step-by-step explanation:

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