Two numbers have a sum of 22 and a difference of 6. find the two numbers.

Answers

Answer 1
Let the bigger number be x and the smaller one be y

Two numbers have a sum of 22
x+y = 22
y= 22 -x -------------------- (1)

The difference is 6
x - y = 6 ---------------------(2)

Sub (1) into (2):
x - (22 - x) = 6
x - 22 + 2 = 6
2x - 22 = 6
2x = 6 + 22
2x = 28
x = 14 -------- Sub into (1)

y= 22 -x 
y = 22 -14
y = 8

One of the number is 14 and the other is 8



Related Questions

based on the given information ,which statement best explains whether the quadrilateral is a parallelogram

Answers

It would be A. It cannot be determined from the information given

Answer:

the answer is (it cannot be determined from the information given)

Find m<A. Round to the nearest tenth.
A.
49.5°
B.
53.1°
C.
63.4°
D.
66.4°

Answers

The answer is A. 49.5°

I Put 45 Points!!


Use what you have learned from this chapter to make a model boat out of a 10-cm square piece of foil. Test your model boat in a tank of water to see how many pennies it can support before sinking. Compare the performance of your boat with those of your classmates. Suggest several design improvements based on your results. Respond to at least one other students posting giving suggestions on how the model of their boat or yours could be improved to increase buoyancy.

Answers

So basically they are asking you to make a model boat out of a 10-cm square piece of foil, according to what it says in the book you have read.


Then just follow the instructions they give to you, like so: 

1. Test your model boat in a tank of water to see how many pennies it can support before sinking.

Then, after you do that (theres no need to record a video or take a picture thats up to you) all you have to do is: 

Talk about how the model of your boat could be improved, or made better to one of your classmates (but post it on the discussion board) 

NEED HELP ASAP!

simplify the radical expression State any restrictions (n^4 -11n^2 +30) / (n^4 -7n^2 +10)

Please show steps!

Answers

-Factor the expressions


-reduce

-then simplify the product 
(n-squareof 6) x (n+sqaureof 6) / (n-sqaureof2) x (n+squareof 2) 

and your answer will be 
n^2-6 / n^2-2


Answer:

screenshot shows the answer but: n^2-6/n^2-2

Step-by-step explanation:

n^4-11n^2+30/n^4-7n^2+10
simplify the numerator
rewrite n^4 as (n^2)^2
and let u substititue for all occurences of n^2
u^2-11y+30/n^4-7n^2+10
factor u^2 - 11u+30 using the AC method.
(u-6)(u-5)/n^4-7n^2+10

(n^2-6)(n^2-5)/(n^2-5(n^2-2)

Cancel the common factor, and n^2-6/n^2-2 is your answer.

Excluded values/restrictions are n= -sqrt5 n= -sqrt2, also n= sqrt5 n= sqrt2

Can one angle of a parallelogram be equal to 40° and another one 50°? Justify your reasoning.

Answers

Short answer: No! <<=====
If the two are one after another, then they are not supplementary, which a parallelogram requires.

If they are in opposite corners, they must be equal. That's another property of parallelograms.

Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.

Answers

answer is 6.5 as the two triangles are similar

Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.

Solution:

In ΔABX and ΔCDX,

∠CDX=∠ABX=90°

Also,∠CXD=∠AXB (as shown in figure)

∠DCX=∠BAX, as two angles of the triangle are equal. The third angle is also equal.

So ΔCDX≈ΔABX

Hence, the ratio of sides must be equal.

[tex] \frac{CD}{AB} =\frac{DX}{BX} =\frac{CX}{AX} [/tex]

Now, using,

[tex] \frac{CD}{AB} =\frac{DX}{BX} [/tex]

[tex] \frac{CD}{AB=12} =\frac{DX=2.5}{BX=5} [/tex]

[tex] \frac{CD}{12} =\frac{2.5}{5} [/tex]

Now, To solve for CD, Let us multiply by 12 on both sides

[tex] \frac{12*CD}{12} =\frac{12*2.5}{5} [/tex]

[tex] \frac{1*CD}{1} =\frac{30}{5} [/tex]

[tex] CD =\frac{6}{1} [/tex]

CD=6 Answer

You survey 67 employees, and 30 respond that their job satisfaction is high. What percentage of your employees have high job satisfaction?

Answers

30/67 x 100 = 44.78%

Answer:

Percentage of employees have high satifaction of tthe job = 44.78%

Explanation:

In a company there are 67 employees

after survey only 30 employees give the high satisfaction feedback.

So, percentage of employess have high job satisfaction = [tex] \frac{Survey result}{Total employees} *100
[/tex]

= [tex] \frac{30}{67}*100 [/tex]

= 0.44776*100

= 44.78% Final answer

What is the approximate volume of the cone? Use 3.14 for π . 1206 cm³ 2170 cm³ 3260 cm³ 6510 cm³ Outline of cone with a dotted line rising from middle of base to the point. Line is labeled 8 cm. A second dotted line extends horizontally from middle of base to its edge. Line is labeled 12 cm.

Answers

The volume of a cone is given by the formula [tex]V=\frac{1}{3} \pi r^2 h[/tex], where r is the radius and h is the height. The horizontal dotted line from the center of the base circle to the outside edge would be the radius, so that would be 12 cm.  The vertical dotted line from the center of the base to the point of the cone would be the height, so that would be 8 cm.  We substitute these values into our formula:
[tex]V=\frac{1}{3} \pi (12^2)(8)[/tex]
Substituting 3.14 for pi we have:
[tex]V=\frac{1}{3}(3.14)(12^2)(8) = 1205.76 \text{cm}^3[/tex]

The required approximate value volume of the cone is v =  1206 `cm³.

Given that the Height of the cone = 8 m

The Radius of the cone =  12 m

We have to find,The approximate volume of the cone .

What is the  volume of a cone?

The volume of a cone is equal to one-third of the volume of a cylinder having the same base radius and height.

Where V is the volume, r is the radius and h is the height.

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

Where, π = 3.14

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\\\\ V = \dfrac{1}{3} \pi (8)^3 (12) \: \rm unit^3[/tex]

V = 1206 cm³

Hence, The required approximate value volume of the cone is v =  1206 `cm³

For the more information about Volume of the cone click the link given below.

brainly.com/question/15171467

#SPJ2

How measuring angles could be useful in thge real world?

Answers

carpentry, and gardening.  land surveying. 

The histogram represents the distributions of rain amounts in two cities. Which best explains how the histogram is useful for comparing the shapes of the data sets? It is easier to visually compare the means of the data. It is easier to visually compare the standard deviations of the data. It is easier to visually compare the medians of the data. It is easier to visually compare symmetry and skew of the data.

Answers

It is easier to visually compare symmetry and skew of the data.

Answer:

It is easier to visually compare symmetry and skew of the data.

Step-by-step explanation:

Given that the histogram represents the distributions of rain amounts in two cities.

Histogram enables us to have a visual idea easily understandable about the pattern of the distribution.

The important points are whether the distribution is symmetrical or right/left skewed.

Mean, median, std deviations cannot be found easily by justing seeing the histograms.

Hence correct answer is

It is easier to visually compare symmetry and skew of the data.

Which expression can be used to find the number of liters in 15 quarts?

Answers

15 quarts/1 x 0.95 liter/1 quart

Answer:15 quarts/1 x 0.95 liter/1 quart

Step-by-step explanation:

The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct?

Answers

ANSWER : C (3rd option)

Kevin is incorrect because 3:5 may be a simplified ratio.

Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.

Given that,
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct is to be determined,

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here, the ratio of girls to boys is 3:5, Which implies there are 3 girls over 5 boys in the number, This is the simplified ratio of the girls to boys of the students in the class. So, Kevin says there must be 8 students in the classroom which is right, but Kevin does not explain the proportion in his statement,


Thus, Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ5

Look at the picture below // 99 points // PLEASEE HELPP

Answers

split the figure into 2 rectangles

area = (5 x 6) + ((15 x 6)
area = 30 + 90
area = 120

answer
D. 120 square units
90 + 30 = 120.................

Write an equation of the line with a slope of 2 that passes through the point (2,0)

Answers

You can use the slope-intercept form of the equation of a line.

[tex] y = mx + b [/tex]

m is the slope. We are told m = 2.

Now we have

[tex] y = 2x + b [/tex]

We need to find b, the y-intercept. We are given a point, (2, 0). We replace x with 2 and y with 0. Then we solve for b.

[tex] 0 = 2(2) + b [/tex]

[tex] -4 = b [/tex]

Now that we know that b = -4, we replace b with -4.

[tex] y = 2x - 4 [/tex]

Hence, the line with a slope [tex]2[/tex] that passes through the point [tex](2,0)[/tex] is

[tex]y=2x-4[/tex]

What is the line of equation?

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The numerous points which together form a line in the coordinate axis are represented as a set of variables [tex]x, y[/tex] to form an algebraic equation, which is referred to as an equation of a line.

As we know the line of the slope is

[tex]y=mx+b[/tex]

where [tex]m[/tex] is the slope we have [tex]m = 2.[/tex]

So it would be

[tex]y=2x+b[/tex]

Given the point,   [tex](2, 0)[/tex]

Now, we replace [tex]x[/tex] with [tex]2[/tex] and [tex]y[/tex] with [tex]0[/tex].

Now, we solve for [tex]b[/tex].

So,

[tex]0=2(2)+b\\b+4=0\\b=-4[/tex]

Since we get [tex]b = -4[/tex], we replace [tex]b = -4[/tex]

i.e., [tex]2x-4[/tex]

Hence, the line with a slope [tex]2[/tex] that passes through the point [tex](2,0)[/tex] is

[tex]y=2x-4[/tex]

To know more about the line of equation

https://brainly.com/question/24092819

#SPJ2

Pencils sells for 98 cents per dozen. how much more per pencils

Answers


[tex].98 \div 12 = .08[/tex]

laissez faire is the term used to describe a capitalist economy without any regulations

Answers

Not really, it has regulations. Only difference is the power is among the people instead of having a single ruler or governing body

Information about Laissez-faire's economy is given.

What is a Laissez-faire economy?  

Laissez-faire is a free-market, capitalist economic theory that rejects government interference. The French Physiocrats, who lived in the 18th century, created the laissez-faire ideology. According to proponents of laissez-faire, government involvement in industry and markets hinders economic progress.

Laissez-Faire capitalism allowed businesses to pursue just their financial goals without having to worry about restrictions from the state or taxes. Naturally, this might induce unfavorable externalities and knowledge asymmetries that could enable producers to act badly and get away with it. Laissez-Faire proponents contend that since the market would eliminate such undesirable actors, extensive and expensive regulation is not necessary. However, in practice, negative actors might carry on their operations for a very long time. Without government testing and regulatory oversight to safeguard consumers, for instance, it could not be known if a vitamin manufacturer is putting sawdust in place of herb powder in their capsules.

Therefore, In real world the laissez-faire is a capitalist economy have regulations.

To learn more about the Laissez-faire;

https://brainly.com/question/532359

#SPJ6

If f(x) = –x3, g(x) = 3x2 – 1, and h(x) = 2x + 5, what is the degree of [f o g o h](x)?

a-2
b-3
c-5
d-6

Answers

I'm not sure but I'm thinking it's letter d

Answer:

Option d:  6

Step-by-step explanation:

Find f(g(h(x))).

h(x)=2x+5

g(h(x)) = 3(2x+5)^2 -1     (substitute h(x) in)

f(g(h(x)))= -[3(2x+5)^2 -1]^3    (substitute g(h(x)) in)

Since it asks for the degree of the function, that means we must look for the variable with the highest degree. In this case, after distributing and simplifying out the last equation, we will find that the variable x has the highest degree of x^6, or 6.

Suppose that an individual has a body fat percentage of 18.9% and weighs 149 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.

Answers

18.9% 0f 149 pound = 0.189 x 149 = 28.2 pounds

Write and solve an equation to answer the question. "18 is 32% of what number w"

Answers

Equation: 18 = 0.32w

18 * 32/100 = w
w = 56.25

Hope this helps!

The value of 32% of 18 is equal to 56.25.


What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 18 is 32% of the number w. The value of w will be calculated as:-

18 x  32/100 = w

Solve the above equation by mathematical operations to get the value of w,

18 x  32/100 = w

w = 56.25

Therefore, the value of w will be 56.25.

To know more about an expression follow

https://brainly.com/question/24014744

#SPJ2

In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/41. What is the value of cos P?

Answers

Final answer:

In right triangle PQR, sin Q = 9/41. To find cos P, we need to determine the length of the hypotenuse PR. Once we have PR, we can use the cosine function to find cos P.

Explanation:

In a right triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse. So, in triangle PQR, sin Q = opposite/hypotenuse = PQ/PR = 9/41.

Since angles P and Q are complementary, their sum is 90 degrees. Therefore, angle P = 90 - angle Q.

Now, using the Pythagorean theorem for triangle PQR (PQ^2 + QR^2 = PR^2), we can find PR. Since PQ = 9 and QR = 41, we have: 9^2 + 41^2 = PR^2. Solving for PR gives us PR ≈ 41.297.

Now that we have PR, we can find cos P using the cosine function: cos P = adjacent/hypotenuse = QR/PR = 41/41.297 ≈ 0.993.

Final answer:

In a right triangle, sin Q = 9/41. To find cos P, we can use the identity cos(90 - x) = sin(x). So cos P = sin(Q) = 9/41.

Explanation:

In a right triangle, the sine of an angle is equal to the length of the side opposite the angle divided by the hypotenuse. In this case, sin Q = 9/41, which means that the length of the side opposite Q is 9 and the length of the hypotenuse is 41. Since P and Q are complementary angles, P = 90 - Q. Therefore, cos P = cos(90 - Q).

Using the identity cos(90 - x) = sin(x), we can substitute the value of Q to find cos P. cos P = sin(Q) = 9/41.

Which expression makes the equation true for all values of X? 16 X -16 =4(?)

Answers

we have that

16*X -16 =4---------------- > X=[4+16]/16
X=[4+16]/16----------------> X=20/16=1.25
X=1.25

the answer is X=1.25

answer asap, Ill give brainliest, show work

Steve can paint a room three times as fast as Billy. When they work together, Steve and Billy can paint a large room in 4 hours. How many hours would it take Billy to paint it by himself?

Answers

Hey there! :D

If Steve does 3 times the work, we can conclude that he did 3/4 of the job. Billy did 1/4 of the job in 4 hours. We only painted 1/4 of the room in 4 hours. 

That means it would take him 16 hours to complete one room. 4*4= 16. 

It would take him 16 hours to paint a large room by himself. 

I hope this helps!
~kaikers

Find the circumstances of the circle

Answers

The meaning of circumference is to find the distance around a circle or in other words perimeter by using the formula C=2πr or C=πd.

On this case it is asked you to find the circumference of a circle with a diameter of 3 meters, so you will use the formula C=2πr.

C=2πr
C=2(3.14)(3)
C=18.84 meters

The circumference of the given circle is 18.84 meters.

What is the area of the triangle whose vertices are (0,0), (3,0) and (0,4)?

Answers

Answer: 6

Since one of the points is at the origin, then you can take the number point on the x axis and multiply it by the point on the y axis, and you get 12. To find the area of a triangle, you must use base x height divided by 2. Divide 12 by 2 to get 6. 

Hope this helped!
9 6is very wrong it is 9nine

How do you Simplify a4 x a5

Answers

Add the powers - a^9, in this case.

The simplification of the given expression by the law of indices will be a⁹.

What is the law of indices?

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In other words, the mathematics of power or exponent of any number is called indices.

Another example could be 7² = 7³/7 here we divide to obtain power 2.

As per the given expression,

a⁴ × a⁵

By the law of indices that [tex]a^{m} \times a^{n} = a^{m+n}[/tex].

a⁴ × a⁵ = a⁽⁴ ⁺ ⁵⁾ = a⁹

Hence "The simplification of the given expression by the law of indices will be a⁹".

To learn more about indices,

https://brainly.com/question/170984

#SPJ2

Find the value of a in the parallelogram.

Answers

First, turn both expressions into an equation
6a-4=2a+56
---------------
Now solve
Subtract 2a from each side
6a-4-2a=2a+56-2a
4a-4=56
----------------------
Add 4 to each side
4a-4+4=56+4
4a=60
---------------------------
Divide each side by 4
4a ÷ 4 = 60 ÷ 4
a = 15

Round 6541 to the nearest thousand

Answers

7000, is the answer hope it helps

To round 6541 to the nearest thousand, identify the place value and look at the hundreds place. The answer is 6000.

Rounding 6541 to the nearest thousand:

Identify the place value you are rounding to, which is the nearest thousand.

Look at the hundreds place since we are rounding to the nearest thousand. In 6541, the hundreds digits is 5, so the thousands digit remains 6, and all digits after that become 0. Therefore, 6541 rounded to the nearest thousand is 6000.

What is 59.69 written in expanded form

Answers

Final answer:

The expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.

Explanation:

59.69 written in expanded form can be expressed as:

50 + 9 + 0.6 + 0.09

5 * 10 + 9 * 1 + 0.6 * 0.1 + 0.09 * 0.01

5 * 10 + 9 * 1 + 6 * 0.1 + 9 * 0.01

50 + 9 + 0.6 + 0.09

Therefore, the expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.

Final answer:

The number 59.69 written in expanded form is 50 + 9 + 0.6 + 0.09. Each term represents a digit according to its place value, with tens, ones, tenths, and hundredths places accounted for respectively.

Explanation:

Writing the number 59.69 in expanded form means expressing each digit according to its place value. Expanded form is a way of writing numbers to see the math value of individual digits. The number 59.69 would be broken down as follows:



50 + 9 + 0.6 + 0.09



Each term represents a digit in the number: '5' is in the tens place, so it is represented as 50; '9' is in the ones place, so it is simply 9; '6' is in the tenths place, so it is represented as 0.6; '9' is in the hundredths place, so it is represented as 0.09.



When performing calculations, particularly in subjects such as chemistry, scientific notation is often used to express large or tiny numbers efficiently. For example, to enter a number in scientific notation into a calculator, you must know the correct process, which can vary based on the calculator model. Consulting the instructor or the calculator's manual is advisable if there are any doubts.



Furthermore, working with scientific notation involves understanding how to properly write and interpret the exponents, which indicate how many places the decimal point has been moved.

1. What is the constant of variation for the relationship f(x) = 40x?


2. Which equation is the direct variation equation if f(x) varies directly with x and f(x) = -12 when x=6

Answers

1. The coefficient of x is the constant of variation. It is 40.

2. -12 = -2*6 . . . . . you know this because you know your times tables
.. f(x) = -2x

Fifty students in the third-grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Blue eyes 14 8 22 Brown eyes 16 12 28 30 20 50 Are the events "blonde hair" and "blue eyes" independent?
A) Yes, P(blonde hair) • P(blue eyes) = P(blonde hair ∩ blue eyes)
B) Yes, P(blonde hair) • P(blue eyes) ≠ P(blonde hair ∩ blue eyes)
C) No, P(blonde hair) • P(blue eyes) = P(blonde hair ∩ blue eyes)
D) No, P(blonde hair) • P(blue eyes) ≠ P(blonde hair ∩ blue eyes)

Answers

If two events A and B are independent, then P(A)*P(B) = P(A∩B).  
P(A) is the probability of being blonde.
P(B) is the probability of having blue eyes.
P(A∩B) is the probability of being blonde with blue eyes.

P(A)*P(B) = (20/50)*(22/50) = 440/2500 = 22/125.
P(A∩B) = 8/50.
These two probabilities are not equivalent; 22/125=0.176, while 8/50=0.16.  Our answer is D.

Answer: the answer is D

Step-by-step explanation:

Other Questions
A videos storyboard shows _____. the dates and times when each scene will be shot the production teams responsibilities the characters motivations the sequence of events By the nineteenth century, the relationship between the islamic empires and the west can best be described as 1 What happened during the New Deal Era? Americans refused to embark on any untested courses of action.Americans fought the Great Depression in many different waysAmericans decided to end the Civilian Conservation Corps because it was not successful in boosting morale.Americans became very frightened of Roosevelts Brain Trust helppppppppppppppppppppppppppppppppp what is the annual salary for someone who earns a biweekly salary of $927.00? jamal runs 1 2/5 miles a day to train a race. If he runs the same distance for 3 days a week, what is the distance he runs in one week? What mass of KBr (in grams) should you use to make 150.0 mL of a 1.70 M solution of KBr? A 250 mL sample of a .125 M solution of NaOH contains _____g of NaOH if the theoretical yield of RX is 56.0 g , what is its percent yield ?b Mountains are a geographical feature found in many biomes. the rain shadow effect is where ________. This gas is formed when nitrogen oxides react with a group of air pollutants known as reactive organic substances in the presence of sunlight. It's presence in the stratosphere is protective but can be toxic in the troposphere.carbon dioxidenitrogenozonehydrogen what is the approxmate area of the figure plz look at picture and answer right will give brainlist and 20 extra points Sarah stands outside of a grocery store on the west side of town and surveys exiting shoppers about their preference for frozen desserts. what type of sampling technique does sarah's survey represent? How did Christian missionary work sometimes make it more difficult for European powers to control their conquered territories?A.) Most Christians fiercely opposed the idea that social Darwinism justified imperialism.B.) Missionaries challenged imperial policies that were intolerant toward indigenous religions.C.) Missionaries demanded that indigenous converts to Christianity deserved equal rights.D.) Some Christian beliefs inspired indigenous peoples to fight back against imperial powers. Which BEST expresses the author's belief that her trip to the opera house is worthy of being A Night to Remember? A) She saw and heard her favorite opera, Verdis The Masked Ball. B) She saw and heard both the members of the D.A.R. and Marian Anderson. C) She saw and heard both First Lady Eleanor Roosevelt and Marian Anderson. D) She saw and heard the first African American to sing at the Metropolitan Opera. A 70.0 kg skydiver falls towards the earth. If the force due to air resistance is 0 N, what is the acceleration of the skydiver? What did South Africa struggle with after gaining its independence?A. A severe economic depression caused by civil wars in neighboring African countriesB. A communist government that was not able to transform the country into modern nationC. A segregated society in which the majority of the population were second class citizens D. A socialist government that aligned itself with the Soviet Union during the Cold War Can you also explain how you solve it so i can do by myself:)What is the sum of the first eight terms of the series?(500)+(100)+(20)+(4)+(0.8)+...Round the answer to two decimal places if necessary. 996.09 625 624.99 623 In an equilateral hexagon, four of the exterior angles each have a measure of x degrees. The other two exterior angles each have a measure of twice the sum of x and 48. Find the measure of each exterior angle. (Show work!!) Which graph represents the function f(x)=2x/x^2-1