The sum of two numbers is 21. Their product is 108. What are the two numbers?

Answers

Answer 1

Answer:

9 and 21

Step-by-step explanation:

First we can write the factors of 108:

1,108

2,54

3,36

4,27

6,18

9,12        - these 2 numbers add up to 21 so these 2 numbers is our answer.

Answer 2

Answer:

12 and 9

First, divide 108 by a relatively low number, 12

[tex]108 / 12 = 9[/tex]

Now that we have 9, multiply 9 by 12

[tex]9 * 12 = 108[/tex]

This is one method that proves the statement true. I call the method mirroring. This method consists of finding the lowest numbers a large number is divisible by, then flipping the problem to a multiplication problem.

________________________________________________________

What have we learned?

We learned alternative ways to find the sum and product of a number using a similar method.

Questions related to the topic? Ask me in the comments box.


Related Questions

Suppose a normal distribution has 50% of its area falling to the left of x=30, and 25% of its area falling to the right of x=38. The mode of the distribution is located at x= _____
What best completes the sentence?

Enter your answer as a decimal rounded to the nearest tenth, like this: 42.5

Answers

Answer:

  mode: x = 30

Step-by-step explanation:

The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.

__

If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.

this graph shows how much money Jack spent on toys.If Jack purchase 5 toys,how much money will he spend?​

Answers

it depends lol you didn’t show a picture of the graph.

to solve it: you will have to add whatever what was on the chart. for example, on the chart if they toys were $10 each, and he bought 5 toys you would do 10+10+10+10+10=50

HELP PLEASE ! What is the solution to the equation x + 9.5 = 27.5? (1 point)

a
x = 2.9

b
x = 18

c
x = 20

d
x = 37

Answers

Answer:

B

Step-by-step explanation:

Group like them

such that the coefficient stands alone

by subtracting both sides by 9.5

12. An empty avocado crate weighs 4.2 kg. How many avocados weighing 0.3 kg each can be added before the total weight of the crate reaches 15.0 kg?

Answers

We know that an empty crate weighs 4.2, and the weight of each avocado is 0.3

So we can form an equation: 15.0=4.2+0.3x

(Where x is the number of avocados)

Move 4.2 to the other side as a negative

10.8=0.3x

Divide both sides by 0.3

Therefore, the amount of avocados that can be added is 36

A triangle is inside of a rectangle. The triangle has a height of h and a base of b. Section 1 is to the left of the triangle, and section 2 is to the right.
Look at the drawing of a triangle within a rectangle. The triangle and the rectangle have the same base, b, and height, h.

If the area of the triangle is 48 square units, what is the total area of sections 1 and 2?

square units

Answers

Answer:

I think its 40

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Got it right on the assignment.

Hope this helps!!

Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified, exact value in terms of PI (no approximations). The figures are based on semicircles or quarter circles, and problems (b), (c), and (d) involve portions of a square. Calculate area and perimeter

Answers

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(6)(6)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (3)^2}}\implies \boxed{18+4.5\pi} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{pythagorean~theorem}{CA^2 = AB^2 + BC^2\implies} CA=\sqrt{AB^2 + BC^2} \\\\\\ CA=\sqrt{6^2+6^2}\implies CA=\sqrt{6^2(1+1)}\implies CA=6\sqrt{2} \\\\\\ \stackrel{\textit{\Large Perimeters}}{\stackrel{triangle}{(6+6\sqrt{2})}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}2\pi (3)}}\implies \boxed{6+6\sqrt{2}+3\pi}[/tex]

notice that for the perimeter we didn't include the segment BC, because the perimeter of a figure is simply the outer borders.

please I need to know this answer identify and calculate the perimeter for the quadrilateral​

Answers

Step-by-step explanation:

but that is really, really simple.

is the problem that you don't know what a perimeter is ?

a perimeter is the whole distance you have to "walk", if you would "go" around the whole object.

that means you would have to go along every side until you reach the starting point again.

therefore, the perimeter is simply the sum of all side lengths.

P = 8.6 + 3.1 + 6.67 + 5.37 = 23.74 yds

the height does not play any role in this (but it would be important to calculate the area).

I don't understand these huge numbers you have there in the " P =" line.

where are they coming from ? in any case they have nothing to do with this quadrilateral.

TriangleABC and triangle DEC are

A. Similar
B. Not similar

Answers

Answer:

i guess not similar....

Step-by-step explanation:

Write an equation in standard form of the hyperbola described.
Focus (4, 0); vertex (2, 0); center (0, 0)

Answers

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}[/tex]

the area of a square 16/36sq foot how do u get side length of the sq?​

Answers

We know that, the area of a square with side being s, is given by s², so if we here assume our side of square whose area is (16/36) sq. foot being s, so we will be having :

[tex]{:\implies \quad \sf s^{2}=\dfrac{16}{36}}[/tex]

[tex]{:\implies \quad \sf s=\pm \sqrt{\dfrac{16}{36}}}[/tex]

But, as length can never be -ve, so we will be taking only +ve length, and if we solve further for s, it will yield ;

[tex]{:\implies \quad \sf s=\sqrt{\dfrac{16}{36}}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac{\sqrt{16}}{\sqrt{36}}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac46}[/tex]

[tex]{:\implies \quad \boxed{\bf{s=\dfrac{4}{6}=\dfrac{2}{3}}}}[/tex]

Well, you might be thinking that (2/3)² willn't give (16/36) rather it will give (4/9), so for this, I'm telling that (2/3) ≈ 0.66666...7 and (4/6) ≈ 0.66666...7, so it's just the same thing and also, (16/36) and (4/9) are just too the same thing, dividing the numerator and denominator of (16/36) will just lead to (4/9) as same as (2/3)²

Examine the following wavelength.
2 functions on a coordinate plane. One has 7 wavelengths and the other has 3.5 wavelengths.
What is the ratio of the wavelengths of these two notes?
a.
5 to 4
b.
3 to 2
c.
6 to 5
d.
2 to 1



Please select the best answer from the choices provided

Answers

Answer:

  d.  2 to 1

Step-by-step explanation:

The ratio of wavelengths will be inversely proportional to the number of them that are found in any given distance.

__

If the same distance shows 3.5 wavelenths of one function and 7 wavelengths of another, the ratio of wavelengths is ...

  7 : 3.5 = 2 : 1

Differentiate cosec5x

Answers

[tex]\dfrac{d}{dx} \csc(5x)\\\\=-\csc(5x) \cdot \cot (5x) \cdot \dfrac{d}{dx} (5x)\\\\=-5\csc(5x) \cdot \cot(5x)[/tex]

exg(x), where g(0) = 6 and g'(0) = 1, find f '(0).

Answers

your answer is h (20’mm) x^c’’

What is the missing length?
10 yd
=
Area of shaded region
50 yd?

Answers

Answer:

v = 10 yd

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 10 , h = v and A = 50 , then

[tex]\frac{1}{2}[/tex] × 10v = 50

5v = 50 ( divide both sides by 5 )

v = 10

Please assist me with these question. I am having a hard time

Answers

Step-by-step explanation:

[tex] \frac{1}{3x} + \frac{7}{ {x}^{2} } + \frac{x + 2}{x} [/tex]

[tex] \frac{x}{ {3x}^{2} } + \frac{21}{3 {x}^{2} } + \frac{3 {x}^{2} + 6x}{3 {x}^{2} } [/tex]

[tex] \frac{ {3x}^{2} + 7x + 21 }{ {3x}^{2} } [/tex]

Choice D

I need help with 4 and 5 I really don’t get it

Answers

4 is maybe 60 im not really sure though-

Please help me yall feedback would be appreciated!!

Answers

Answer:

1/13

Step-by-step explanation:

There are 2 red 5's in a standard 52-card deck ( a red 5 of hearts and a red 5 of diamonds ) and then there are 2 black 6's in a 52-card deck ( a black 6 of clubs and a black 6 of spades )

So in total there are 4 cards that we want out of 52.

So the probability of getting a red five or a black six is 4/52 or 1/13

Answer:

Step-by-step explanation:

This is an or question. You can choose either one; both are possible and the smaller probability add.

Red 5: 2/52

There are 26 red cards. 2 of them are 5s (diamonds / hearts). You are still drawing from a complete pack of 52

Black 6: 2 / 52

There are 26 black cards. 2 of them are 6s (Clubs / spades). You are still drawing from a complete pack of 52

2/52 + 2/52 = 4/52

Divide top and bottom by 4

4/4 // 52 /4

1 / 13

Answer: 1/13 or 0.077

For his phone service, Manuel pays a monthly fee of $11, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is
$104.45
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.

Answers

Step-by-step explanation:

M=?

=$104.45-$11

=93.45

$93.45÷0.07

=1335

He used 1335 minutes in month

Rearrange the equation and solve for x.
2 = x2 + 6x + 11

Answers

Answer:

-3

Step-by-step explanation:

It's a lot of work, I'm not typing that into here

The best way to convince employers of your skills and abilities is to _____. a. provide a written list, such as in your resume b. offer proof by example in answering interview questions c. have the employer contact your references d. none of the above

Answers

Answer:

A.

Step-by-step explanation:

B and C seem to stray away from what the question originally asked.

Answer:

the answer is B ( offer proof by example in answering interview questions)

Step-by-step explanation:

hope this helps:)

ed 2023

Which of of the following statements are true? Select all that.

Answers

Answer:

I think the answer is <1 and <4 are supplementary angles

giving out 93 points for this question!!! need this ASAP!!

Answers

Answer: D

Step-by-step explanation:

The function is continuous. There are no discontinuities, or sharp bends in the curve where the slope is undefined. It extends to negative infinity and goes on to positive infinity. A matter of fact, it looks like a graph of x^2 shifted by a few coordinates. The function therefore is constantly increasing from negative infinity to positive infinity. The function never decreases

After performing 1 simulation as the first step in her significance test, Emma does 99 more. For each simulation, she randomly reorganizes the subjects into two groups, A and B, of size 25. In the simulations, group A always plays the role of the treatment group and group B the role of the control group.

After each simulation, she subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram.

In the original experiment, the average for the treatment
group was 1.6 higher than the average for the control group.
In what percentage of simulations is the average for group A at least 1.6 higher than the average for group B?

Answer Choices:

A: 1
B: 5
C: 1.6
D: 2

Answers

Using the histogram, it is found that the percentage of simulations is the average for group A at least 1.6 higher than the average for group B is given by:

A: 1.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

In this problem, the histogram shows that out of the 100 simulations, only 1 had a difference of at least 1.6, as the bin corresponding to [1.6, 2] has value of 1 and the bins to the right of this have values of 0.

Hence, the percentage is given by:

P = 1/100 x 100% = 1%.

Which means that option A is correct.

More can be learned about histograms at https://brainly.com/question/25836450


The average value of the function y = x² – 1 on [0, 12] is

Answers

Answer:

47.

Step-by-step explanation:

1) the rule:

[tex]f_{avr}=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx ,[/tex]

where a;b are 0 and 12, f(x)=x²-1.

2) according to the rule above:

[tex]f_{avr}=\frac{1}{12-0} \int\limits^{12}_0 {(x^2-1)} \, dx=\frac{1}{12}(\frac{x^3}{3}-x)|^{12}_0=48-1=47.[/tex]

Use the product-to-sum formula to convert the expression to a sum or difference. Simplify where is possible. ​

Answers

Answer:

sin3t*cos(s)*cos(t)+sin3t*sin(s)*sin(t).

Step-by-step explanation:

sin3t*cos(s-t);

1) cos(s-t)=cos(s)cost+sin(s)sint; then

2) sin3t*cos(s-t)=sin3t*cos(s)*cos(t)+sin3t*sin(s)*sin(t).

What is the volume of a right circular cylinder with a base diameter of 18 yd and a height of 3 yd?



Enter your answer in the box. Express your answer using π.

I've seen people answer with 763.4yd^3 or 254pi yd^3 . Please answer if you know 100%. Also please show your work.

Answers

Answer:

[tex]V=763.407[/tex] yd^3

Step-by-step explanation:

Formula for volume of right circular cylinder.

[tex]V=\pi r^{2}*6[/tex]

[tex]r=\frac{d}{2}[/tex]

We are given the diameter (d) and the height (h).

First solve for r.

[tex]r=\frac{18}{2}[/tex]

[tex]r=9[/tex]

Now we have everything we need to find the volume. Plug in r into the volume formula.

[tex]V=\pi *9^{2} *3[/tex]

[tex]V=763.407[/tex] yd^3

Draw a box- and- whisker plot that corresponds to the given data set 31, 12, 8, 25, 23, 17, 20, 13

Answers

The box-and-whisker plot that displays the five-number summary of the given data is: option B.

How to Draw a Box-and-whisker Plot?

A box-and-whisker plot displays the five-number summary of a data, which includes, the min and max values, medain, upper and lwoer quartiles.

To draw a box-and-whisker plot, find the five-number summary of the data, 31, 12, 8, 25, 23, 17, 20, 13:

Minimum: 8First Quartile: 12.5Median: 18.5Third Quartile: 24Maximum: 31

Therefore, the box-and-whisker plot that displays the five-number summary of the given data is: option B.

Learn more about box-and-whisker plot on:

https://brainly.com/question/12343132

Ali is in charge of the dinner menu for his senior prom, and he wants to use a one-sample z interval to estimate
what proportion of seniors would order a vegetarian option. He randomly selects 30 of the 150 total seniors
and finds that 7 of those sampled would order the vegetarian option.
Which conditions for constructing this confidence interval did Ali's sample meet?
Choose all answers that apply:
A. the data is a random sample from the population of interest
B. np^>_10 and n(1-p^)>_10
C. individual observations can be considered independent

Answers

Answer: A: The data is a random sample from the population of interest

Step-by-step explanation: kahn

You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?

I NEED THIS ANSWER ASAP!!

Answers

Answer:

20+5(x-2) im pretty sure

Step-by-step explanation:

The mass of 1 tablespoon of syrup is as heavy as 5 teaspoons of cooking oil. The mass of 2 teaspoons of cooking oil is 12 g lighter than 1 tablespoon of syrup.find the mass of 1 teaspoon of cooking oil​

Answers

Answer:

1 tsp of oil = 4 g

Step-by-step explanation:

1 Tbsp of syrup = 5 tsp of oil

2 tsp of oil = 1 Tbsp of syrup - 12 g

2 tsp of oil = 5 tsp of oil - 12 g

-3 tsp of oil = -12 g

1 tsp of oil = 4 g

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