The product of two consecutive even integers is 36 less than 18 times their sum. Find the two integers

Answers

Answer 1

Answer:

34 and 36

Step-by-step explanation:    7  1  17   15

product of two consecutive even integer   x(x+2)      x is even

product of two consecutive even integer  x(x + 2) plus 36 equal 18(x +x + 2)

x(x+2) + 36 = 18(x +x +2)

x² + 2x + 36  = 18x + 18x + 36    36's cancel, 2x - 36x = -34x

x² - 34x = 0     solve for x

x( x - 34) = 0        x = 0 and 34    only 34 is an even number!

x = 34  and 36  


Related Questions

math pls pls help help no trolls i really need this grade​

Answers

Answer:

The second one is 3 and the third one is 8

Step-by-step explanation:

Just trust me

Please help me! I need to get this done but don't know how!

The polynomial x³+5x²-57x-189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions?

a. height: 19 in.
depth: 5 in.

c. height: 19 in.
depth: 7 in.

b. height: 21 in.
depth: 5 in.

d. height: 21 in.
depth: 7 in.

Answers

Answer:

Step-by-step explanation:

your answer would be b

What is the slope of the line? 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac23 3 2 ​ start fraction, 2, divided by, 3, end fraction (Choice B) B \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction (Choice C) C \dfrac32 2 3 ​ start fraction, 3, divided by, 2, end fraction (Choice D) D \dfrac43 3 4 ​

Answers

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

1. A square is lengthened by 6 units in one direction and by 5 units in the other
direction to make a rectangle, as shown in the diagram. The length of the side
of the original square is x units. What is the area of the whole new rectangle?

Answers

Answer:

a = x² + 11x + 30

Step-by-step explanation:

a = (x + 5)(x + 6)

multiply each term in the first set of parenthesis by each term in the second

a = x(x + 6) + 5(x + 6)

a = (x² + 6x) + (5x + 30)

combine like terms

a = x² + 11x + 30

convert the decimal number 356 to a Quinary number

Answers

Answer : Yes the answer to your question is 2411.

Explanation : how I got the answer

To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:

To convert integer 356 to quinary, follow these steps:

Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get the equivalent quinary number.

356 / 5 = 71 with remainder 1

71 / 5 = 14 with remainder 1

14 / 5 = 2 with remainder 4

2 / 5 = 0 with remainder 2

Here is the answer to 356 decimal to quinary number:

2411

Jacob wants to enlarge a 4 in. By 6 in. Photo so that the longer side will be 14 in. How long will the shorter side be? (MUST SHOW WORK) HINT: Refer to your notes on Scale Drawings.

Answers

Answer: 9.3 in.

Step-by-step explanation:

Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.

This means that Jacob wants to increase the larger side by a scale factor of:

= Length of enlarged picture / Length of original

= 14 / 6

= 2.33

2.33 is therefore the scale factor.

The shorter side will also increase by this same scale factor:

= 4 * 2.33

= 9.3 in.

Find the value of x.

Answers

Answer:

x=9

Step-by-step explanation:

so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9

Answer:

x=9

Step-by-step explanation:

missing angle + 60 + 60=180 degree (sum of interior angles of a triangle

missing angle + 120 =180

missing angle =180 -120

missing angle =60 degree

since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9

Mr. Mitchell deposited $4000 in a bank and earned simple intrest at 7% per annum for 2 years.
(i) Calculate the amount he will recive at the end of the 2 year period.(Hint find the simple intrest first...)

Answers

Answer:

interest per annum is 280

interest for 2 year is 560

Step-by-step explanation:

money deposited in bank = 4000

1persent of 4000 = 40

7 persent of 4000 = 280

interest for 2 year is 280 x 2 = 560

Mark me as Brainest

Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?

Answers

Answer:

50th

Step-by-step explanation:

10 multiply by 5 is 50

And 25 multiply by 2 is 50

50 is the first to appear on both sides

I don’t understand help

Answers

You can see that the MNO triangle is similar to MKL  then  [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex]                                                                  [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]

 

Help plz I dont get it

Answers

Roxanne finished more of her to do list because if you take 5/6 and turn it into a decimal you get 0.83, while Quinn finished least because 7/9 is 0.77

probability, please help i will give brainliest

Answers

Umm very unlikely because umm common sense

Factor completely. 486 +108 x + 6 x^2=

Answers

Answer:

[tex]6(x+9)^{2}[/tex]

Step-by-step explanation:

6 x^2+108 x  +486

6(x^2+18 x  +81)

6(x+9)(x+9)

[tex]6(x+9)^{2}[/tex]

Answer:

[tex]6(9+x {)}^{2} [/tex]

Step-by-step explanation:

[tex]486+108x+6x ^{2} [/tex]

[tex]6 \times 81+108x+6 {x}^{2} [/tex]

[tex]6(81+18x+ {x}^{2} )[/tex]

[tex]6(9+x {)}^{2} [/tex]

Hope it is helpful...

Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?

2/5
1/48
4/5
1/3

Answers

Answer:

2/5

hope it helps

Thank you

I need help!!!! :))))

Answers

Answer:

A=50.24

Step-by-step explanation:

Your diameter is 8, which makes the radius 4.

The area of a circle is

[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]

A=50.24

What is the domain of the function of y=√x+8 -7

Answers

Answer:

Step-by-step explanation:

Recall that the argument of the square root function y = √x must always be 0 or greater.

If you meant y=√x+8 -7, the domain is therefore [0, infinity).

But if you meant y=√(x+8) -7, the domain is [-8, infinity).

Those parentheses are important!

Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?

Answers

Given:

Cost of 13 movies = $15.99

To find:

Cost of each movie

Steps:

Lets assume the cost of each movie as 'x'.

So,

[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]

[tex]1.23 = x[/tex]

[tex]x = $1.23[/tex]

Therefore, the cost of one movie is 1.23 dollars

HAPPY TO HELP :)

If you need more help, feel free to ask

Write the equations of two lines that are parallel to the line 3x+6y-5=0

Answers

Answer:

X+2Y=7 and 4X+8Y=19

Step-by-step explanation:

Step 1: Write the equations in the form y=mx+c, where m represents the gradient.

In this case, gradient is equal to -0.5

Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5

You can make endless equations

Can 17, 9, and 11 be the side lengths of a triangle?

Answers

Answer:

No it cant

Step-by-step explanation:

You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.

In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern



A. All the numbers are odd


B.all the numbers are even


C.all the numbers are multiplies of 3

D. All of the numbers are prime

Answers

Answer is A. All numbers are odd.

pa help po............. ............​

Answers

Answer:

ΔABC

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

ΔXYZ

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

ΔNOR

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

Step-by-step explanation:

According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;

In triangle ΔABC, we have;

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

In triangle ΔXYZ, we have;

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

In triangle ΔNOR, we have;

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

Need help with this :(

Answers

Answer:

B.    m = [tex]\frac{3}{2}[/tex], y-int = 3

Step-by-step explanation:

To find the slope of the line, we need to plot two points

(2, 6) (-2, 0)

m = slope

Then use the Slope-Formula to Solve for the slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]        

m = [tex]\frac{0-6}{-2-2}[/tex]

m = [tex]\frac{-6}{-4}[/tex]

m = [tex]\frac{6}{4}[/tex]

m = [tex]\frac{3}{2}[/tex]

The Slope is [tex]\frac{3}{2}[/tex]

The y-intercept is 3 because the line is going 3 units upwards on y axis!

Equation: y = 3/2x + 3

Slope: 3/2

y-intercept: 3

Answer:

m = 3/2      int- 3

Step-by-step explanation:

The line goes up 3 and goes right 2. The line crosses the y-intercept at 3.

Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am, and arrived in the city at 11:15 a.m. The
train's average speed was 60 miles per hour. How far did Lucas travel by train?
75 miles
105 miles
135 miles
165 miles

Answers

Sheeeseeeeeeeeeeeeeeeeeesh

The distance travelled by the Lucas will be equal to 105 miles.

What is an average speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The average speed is defined as the total distance travelled by train in total time.

Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.

Time = 105 minutes = 105 / 60 = 1.75 hours

The distance travelled by train will be calculated as,

Distance =  Speed x Time

Distance = 60 x 1.75

Therefore, the distance travelled by Lucas will be equal to 105 miles.

To know more about average speed follow

https://brainly.com/question/24739297

#SPJ2

Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?

Answers

Firstly, 27 x 4.54
= $122.58

$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.

What is PEDMAS rule?

PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.

According to the question

Monique goes out for coffee once per week.

She has already spent $40.86 this year on her coffees and each one is $4.54.

There are 27 weeks left in this school year for Monique.

If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:

Based on the given conditions

[tex]40.86 + 27 \times 4.54[/tex]

By using PEDMAS rule, first we have to multiply 27 and 4.54

= [tex]40.86 + 122.58[/tex]

By using PEDMAS rule, first we have to add 40.86 and 122.58

= [tex]163.44[/tex]

Thus, $163.44 money will she have spent on coffee by the end of the year.

Find out more information about PEDMAS rule here

https://brainly.com/question/24086845

#SPJ3

Stacy invited six friends to her 5th birthday party. How many ways can Stacy's mom arrange the
children around the table for cupcakes and ice cream?
(Answer with no decimals)

Answers

Answer:

120 ways

Step-by-step explanation:

Here, we are looking at arranging around a table

To do this, we sit down one of the children and arrange the remaining around the one that we have sat down

In scenario like this, the number of possible arrangement ways will be;

(n-1)! ways

where n is the number of children which is 6 in this case

So the possible number of ways will be;

(6-1)! = 5! = 120 ways

6 + {1 + [−(3 + 5) − 8] + 2} + 10 pleasee!!!

Answers

[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]

Final Answer: 13

Step By Step Explanation:

Calculate: Calculate the sumCalculate: Calculate the sum or differenceRemove the parentheses: When there is a + in front of an expression in parentheses, the expression remains the sameCalculate: Calculate the sum or difference

☆彡Hanna

Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .

Answers

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

write equivalent fractions for 2 3/4+1 2/3 using a common denominator.

Answers

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                              and 1 12/15

Step-by-step explanation:

If I have a right triangle ab=12 and ac=15 what is BC

Answers

Answer:

9

Step-by-step explanation:

B²=H²-P²

B²=15²-12²

B²=81

√B=9

therefore it's 9

Below is a list of numbers. Use them to answer question 3.
2, 19, 31, 43, 59, 67
Question 3*
What type of numbers are shown?
A
B.
C.
composite numbers
even numbers
odd numbers
prime numbers
D.

Answers

Answer:

prime numbers

Step-by-step explanation:

not composite since,example, 2 is prime

not even since,example, 19 is odd

not odd since,example, 2 is even

Answer:

the answer is

prime numbers.

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