Two consecutive even whole numbers have a product of 360. What is the smaller of the
two number?

Answers

Answer 1

Answer:

18

Step-by-step explanation:

To find this answer you would need to use the formula x(x+2) = 360 where x is an even number.  This is the formula because any number plus 2 equals the next consecutive, even whole number.   If we look at the factors of 360 we see the factors-

360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

If we look through all of the factors 18 and 20 are the only ones with a 2 number difference.

Next, if we plug 18 into the equation:

x(x+2) =360

18(18+2) = 360

324+36 = 360

360 = 360

Since the equation works, x = 18.


Related Questions

Harold used 6 centimeters of tape to wrap 3 presents. What is the unit rate?

Answers

Answer:

2cm/present is the unit rate

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

[tex]\huge\text{Harold used \underline{\underline{6 centimeters of tape}} to wrap}\\\huge\text{\underline{\underline{3 presents}}. \underline{\underline{\underline{What is the unit rate?}}}}[/tex]

[tex]\huge\boxed{\star \ Formula: \mathsf{\dfrac{a}{b}= unit\ rate \ }\star}[/tex]

[tex]\huge\boxed{\mathsf{Equation\boxed{\rightarrow}\ \dfrac{6}{3} = \boxed{unit\ rate}}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{6}{3} = \boxed{\bf unit\ rate}}}\\\\\\\huge\boxed{\mathsf{ 6 \ \boxed{\div} \ 3\ \boxed{= } \ \bf\boxed{\bf unit\ rate}}}\\\\\\\\\huge\boxed{\boxed{=} \bf \ 2}[/tex]

[tex]\huge\boxed{\star\ \textsf{Therefore, the UNIT RATE IS: \bf \boxed{\bf 2}}\ \star}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: the unit rate is \bf \boxed{\underline{\underline{\underline{\underline{\bf 2}}}}}}}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Will Mark Brainlest Help Please Please​

Answers

[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]

Now constructing equations

[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]

[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]

[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]

[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]

Adding eq(1) and (2)

[tex]\\ \sf\longmapsto 4a=8[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]

[tex]\\ \bf\longmapsto a=2[/tex]

Put the value in eq(2)

[tex]\\ \sf\longmapsto a-b=5[/tex]

[tex]\\ \sf\longmapsto b=a-5[/tex]

[tex]\\ \sf\longmapsto b=2-5[/tex]

[tex]\\ \bf\longmapsto b=-3[/tex]

put the values in eq(4)

[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]

[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]

[tex]\\ \sf\longmapsto d-1=2d-1[/tex]

[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]

[tex]\\ \sf\longmapsto -d=0[/tex]

[tex]\\ \bf\longmapsto d=0[/tex]

Put the value in eq(3)

[tex]\\ \sf\longmapsto 3c-d=6[/tex]

[tex]\\ \sf\longmapsto 3c-0=6[/tex]

[tex]\\ \sf\longmapsto 3c=6+0[/tex]

[tex]\\ \sf\longmapsto 3c=6[/tex]

[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]

[tex]\\ \sf\longmapsto c=2[/tex]

Is 3.739 rational or irrational

Answers

Answer:

It is a rational number.

Step-by-step explanation:

A rational number is a number that repeats with the same number, or terminates. An irrational number is a number that repeats, but not with a constant number, like pi for example. 3.739 terminates at the end, so it is a rational number.

Hope this helps :)

Hotdogs come in packages of 10, while rolls come in either 8 or 12. What is the smallest number of packages of each you have to buy in order to have the same number of hotdogs and rolls?
Please explain the answer.

Answers

if the rolls come in 8

then we check which multiples 8 and 10 have in common which is 40

8,16,24,32,40

10,20,30,40

which is 5 packages of rolls and 4 pack of hot dogs

if the rolls are 12

we check the multiples which they have in common

12,24,36,48,60

10,20,30,40,50,60

which is 5 packages of rolls and 6 pack of hot dogs

Pls mark as brainliest

If (3,b) is a point on the graph of y = 2x+9.
b =

Answers

Answer:

Step-by-step explanation:

In the coordinate given, x = 3 and y = b. If we plug those into the given equation, we can solve for b:

y = 2x + 9 ---> b = 2(3) + 9 so

b = 6 + 9 and

b = 15

Answer:

b = 15

Step-by-step explanation:

y = 2x+9

Let x = 3 and y=b

b = 2(3)+9

b = 6+9

b = 15

The diagonals of a square are 4 meters long. The side of this square is equal to the diagonal of the second square. Find the side of the second square.

Answers

Answer:

bro what is the diagonal of second square.

g(x)=7x-2/5x+1
Find g^-1(x), where g^-1 is the inverse of g.
Also state the domain and range of g^-1 in interval notation.

Answers

I’m not sure I just need points to ask questions

whats the volume the triangular prism?​

Answers

Answer:

Step-by-step explanation:

B ----> Base Area

Base is triangle

base = b = 10 in

height = h = 6 in

Area of base B = [tex]\frac{1}{2}bh[/tex]

                         [tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]

B = 30 in²

H = 15 in

Volume of triangular prism = BH

                                            = 30 * 15

                                            = 450 in³

What is the value for x
Please help im very stuck on this question

Answers

Answer:

The value of x is 6

Step-by-step explanation:

Alrighty, the statement "Figure A maps to figure B with a scale factor of .25" means that figure A is 1/4 of figure b. So to figure out the length of x. All you need to do is multiply 1.5 by 4! That gives you your answer:  6

1&2&3 please……………………….

Answers

Answer:

The answer for no 2 is x = 3+y or y+3

PLEASE AND THANK YOUU, u dont have to draw graph btw

Answers

Answer:  sqrt(x+1)+4

This is the same as writing [tex]\sqrt{x+1}+4[/tex]

The +4 is not under the square root

==========================================================

Explanation:

g(x) is the same as y, since they're both outputs of a function

So we have the starting equation y = (x-4)^2 - 1

Swap x and y and solve for y to get the inverse.

y = (x-4)^2 - 1

x = (y-4)^2 - 1

x+1 = (y-4)^2

(y-4)^2 = x+1

y-4 = sqrt(x+1) ... see note below

y = sqrt(x+1)+4

Note: Recall that [tex]x \ge 4[/tex] and we swapped x and y. This ultimately means [tex]y \ge 4[/tex] and this only occurs if we picked the positive version of the square root (ignoring the negative version).

6.7 more than 5 times a number is 20

Answers

Subtract 6.7 from 20. This is 13.3. Divide 13.3/5 is 2.66. That is the answer

Answer:

the number is 2.66

Step-by-step explanation:

[tex]6.7+5x=20[/tex]

Step 1. Subtract 6.7 from both sides

[tex]5x=20-6.7[/tex]

[tex]5x=13.3[/tex]

Step 2. Isolate the variable

[tex]\frac{5x}{5} =\frac{13.3}{5}[/tex]

[tex]x=2.66[/tex]

The number is 2.66

find x.
can someone work it out for me so i can try and figure out how to do problems like this on my own? please and thank you

Answers

Answer:

x = 7/2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj side / hypotenuse

cos 45 = x / 7 sqrt(2) /2

7 sqrt(2)/2 cos 45 = x

7 sqrt(2)/2 (1/ sqrt(2))= x

7/2 = x


Find the area of triangle ABC.
[PLEASE HELP ME!!]
A.12.16units
B.18.52units
C.31.27units
D.15.14units

Answers

Answer:

D

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × product of 2 sides × sine ( angle between them ) , that is

A = 0.5 × 5.04 × 6.82 × sin61.73° ≈ 15.14 ( to 2 dec. places )

Find the Segment.I need help ASAP

Answers

Answer:

Does the answer help you?

Answer:

x = 65 units

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse), so

x² = 25 × (25 + 144) = 25 × 169 = 4225 ( take square root of both sides )

x = [tex]\sqrt{4225}[/tex] = 65 units

1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?​

Answers

A sample space is the space of all the possible outcomes in this event.

Let's define each outcome as:

(first marble, second marble)

Where the first marble can be green or red.

The second marble can be blue or yellow.

Then the possible outcomes are:

(green, yellow)

(green, blue)

(red, yellow)

(red, blue)

So we have four different outcomes, which means that the sample space has 4 elements.

Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.

If you want to learn more, you can read:

https://brainly.com/question/24329720

What is the least common multiple of 46, 49, and 17?

Answers

Answer:

38318

Step-by-step explanation:

Break the numbers into prime factors

46 = 23*2

49 = 7*7

17 = 17*1

The least common multiple is

23*2*7*7*17 = 38318

similar bars of soap are sold in packs of 3 for $2 or packs of 8 for 5.20 find the difference in the price for 48 bars of soap

Answers

Bar 1:

3 = $2
48 divided by 3 = 16
$2 x 16 = $32

—————————————————

Bar 2:

8 = $5.20
48 divided by 8 = 6
$5.20 x 6 = $31.2

—————————————————

Difference:

$32 - $31.2 = $0.8

So when the two sales are compared, the ‘8 for 5.20’ sale is cheaper by $0.8.

—————————————————

Pls give me a brainliest if this helped thx



BD is paralell to XY, what is the value of y?
A. 125
B. 85
C. 65
D. 105​

Answers

Answer:

options b is correct

Does the answer help you?

Answer:

B. [tex]85[/tex]

Explanation:

This is a simple test of your knowledge about this sort of problem. When you get 2 parallel lines intersected the way you see in the picture, the lower right angle of the first intersection is equal to the upper left angle of the first line as well as the upper left and lower right angles of the second line so with that knowledge you can immediately identify that since the question gives you the measure of an angle equal to the angle you need to identify; you don't even need to do any math to find the answer for this question.


What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2

Answers

Answer:

??

Step-by-step explanation:

how

did you get 616? are you even looking at the 4 answers?????

20 is 15% of what number?
PLEASE ANSWER ILL GIVE BRAINLIESTTTT

Answers

Answer:

133.33

Step-by-step explanation:

Answer:

133 1/3 or 133.33

Step-by-step explanation:

So first let's turn 15% into a decimal. For me personally, its less intimidating that way.

15%=0.15

now, let's say the number we are trying to find is x.

A trick I use for these questions is to look at the words. "Of" is used when something is multiplied. "Is" is used for equal signs. So if 20 is 0.15 of x, our formula is easy to figure out!

20=0.15x

x=133.33333...

x=133 1/3

HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. 22+b

2. 7x

3. 6+t

4. Z(4+6)

5. -10+4a

6. N(8+-2)

7. X^2/2

4/5(m^2)

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

1.) b + 21

2.) x × 7 or 7x

3.) t + 6

4.) 4 + 6z

5.) -10+4a

6.) 8 +(-2n)

7.) (1/2)×n³

8.) (4/5)×m²

Must click thanks and mark brainliest

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box plot is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18 and a point at 43

Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)

Answers

Answer:

The formula for iqr is q3 - q1

24

Step-by-step explanation:

The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles.

The IQR of the male dataset is 24.The difference in median of both datasets is 14.The best measure of center to use for the female box plot is the median. The best measure of center to use for the male box plot is the mean.A possible reason for an outlier is human error.

The given parameters are:

Male:                                                               Female

[tex]Minimum = 0[/tex]                                                 [tex]Minimum = 0[/tex]

[tex]Q_1 = 1[/tex]                                                              [tex]Q_1 = 5[/tex]

[tex]Median = 20[/tex]                                                    [tex]Median = 6[/tex]

[tex]Q_3 = 25[/tex]                                                            [tex]Q_3 = 10[/tex]

[tex]Maximum = 50[/tex]                                               [tex]Maximum = 18[/tex]

A. IQR  for male dataset

The IQR is calculated as follows:

[tex]IQR = Q_3 - Q_1[/tex]

For the male's data:

[tex]IQR = 25-1[/tex]

[tex]IQR = 24[/tex]

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

[tex]Median = 20[/tex]  ----- Male dataset                                                    

[tex]Median = 6[/tex] ----- Female dataset

So, the difference (d) is:

[tex]d = 20 - 6[/tex]

[tex]d = 14[/tex]

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot (see attachment) has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry

Read more about box plots at:

https://brainly.com/question/1523909

I need help asap!!
Solve for d and show your work:
16d- (4 -5d) =-67

Answers

Step-by-step explanation:

16d-4+5d= -67

21d-4= -67

21d= -67+4

d= -63/21

d = -3

hope it helps

Answer: d = -3

Step-by-step explanation:

⇒16d -(4-5d) = -67

⇒16d -4 +5d = -67

⇒21d = -67+4

⇒21d = -63

⇒d = -63/21

⇒d = -3

Therefore d = -3

please click thanks and mark brainliest if you like :)

Megan has some cards. She gives away 8 cards. Now she has 41 cards.
How many cards did Megan start with? Enter the answer in the box.

Answers

Answer:

c = 49

Step-by-step explanation:

Let c = number of cards originally

give away 8 cards

c-8

Now she has 41

c-8 = 41

Add 8 to each side

c-8+8 = 41+8

c = 49

Answer:

49

Step-by-step explanation:

In the end, if she now has 41 cards you have to do inverse operation. Since you subtracted to take away those 8 cards she gave away, you have to add back in 8 cards to the 41 if you want to find what she had before. So, 8 + 41 = 49

Hope this helps! :)

Find the length of UC? Please help

Answers

Answer:

The choose C. 18

Step-by-step explanation:

UC —> 105+82=187 —> 96+22+51=169 —> 187–169=18

I hope I helped you^_^

Find f(g(4)).

f(g(4)) =

Answers

Answer:

4fg

Step-by-step explanation:

regrouping terms leaves 4 f variables along with the 4 g variables, since f is also multiplied by g, that would leave the answer to be 4fg. (socratic)

(4g)

Step One: Remove/ Alter the equation= f(gx4)

Step Two: Do the equation= f(gx4); f (4)

I hope I've helped! If you need anything, ask away!

To win the annual read-a-thon at his school, Scott has to read more books than any of his classmates over winter break. He starts by reading a lot of sports books. Then, he reads 10 mystery books. In all, Scott reads 23 books for the read-a-thon.

Answers

Answer:

13 sports books and 10 unknown books is 23 books

Step-by-step explanation:

we already know scott read 23 books total, we also know that he read 10 mystery books.

subtracting 10 unknown books from 23 total books, we get 13 sports books as your answer

. Each side of this ice cube measures 3.3 millimetres. What is the volume of this ice cube?

Answers

The volume of the ice cube is 35.937 mm^3

We know that for a cube of side length L, the volume is defined as:

V = L^3

Here, we do know that each side of our ice cube measures 3.3 mm, so we have:

L = 3.3mm

Then the volume of the cube is just:

V = (3.3 mm)^3 = 35.937 mm^3

We can conclude that the volume of the ice cube is 35.937 mm^3

If you want to learn more, you can read:

https://brainly.com/question/14075019

I need help with all the answers to 1 and 2

Answers

1a. 128

1b. 81

1c. 64

1d. 25

1e. 343

1f. 100000

1g. 64

1h. 0

1i. 13

1j. 1

2a. 243

2b. 64

2c. 36

2d. 625

2e. 1331

2f. 10000000

2g. 81

2h. 0

2i. 17

2j. 1

Other Questions
(a + b + c)(a + b - c) 5 4. Cos^8A - singa^8A Help me please Given that two vectors A = 5i-7j-3k, B = -4i+4j-8k find AB what is sustainable development? PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!Find the mode of the data set that consists of 8, 18, 4, 2, 3, 7, 11, 13, 5, 1.A. 6B. 7.2C. no modeD. 17 Help me please I need this Please help ASAP ___ once ruled over one-fourth of the world.SwedenThe United KingdomFranceScotlandThank you in advance Find the coordinates of the vertices of the figure after the given transformation: T A. X(1,1),L(0,2),W(2,1)B. X(4,2),L(5,5),W(3,4)C. X(3,2),L(2,5),W(4,4)D. X(0,3),L(1,0),W(1,1) Today, Li has $900,000 (treat this as a cash inflow) in an account that gives an 8% return each year. He has been investing $7,000 a year at the end of each year for 30 years. How much did he have in his account 30 years ago what is the maximum number of students among whom 100 orange ,150 cirtrus, and 250 guavas can be equally distirbuted ? what is the share of each fruits for a student? packaging methods of watermelon Why is flexibility important in living a healthy and fit life?It improves endurance and muscle strength. It reduces risks related to high cholesterol rates.It reduces the damage to the heart and lungs through inactivity.It allows limbs to move through a full range of motion. At the mall you spent a total of $170.86. You bought 2 pairs pf jeans for $39.95 each, a jacket for$45.99, and shirts for $14.99 each. How many shirts did you buy? What are your national indenties? Make a List . A patient on the infectious disease floor takes 10 mL of levofloxacin syrup bid. If the product is onlyavailable as a 5 mL unit-dose oral syringe, how many syringes will the technician prepare for a 24-hour supply? Find the equation of the line passing through the point (-7,2)(7,2) that is perpendicular to the line 4x - 3y = 104x3y=10. Francis is a busy manager. She needs to quickly let her employees know about shift schedule changes for Wednesday afternoon, so she sends them an email. Anne knows that in business, time is a valuable commodity. What is Anne's main consideration when selecting her communication method Underline the pronouns in each of following sentences PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!