the difference between two numbers is 9. Find the numbers if their sum is 46

Answers

Answer 1

Answer:

[tex](\frac{55}{2} ,\frac{37}{2} )[/tex]

Step-by-step explanation:

We have to solve this system of equations in order to find the numbers :

Let x be greater number and y be the smaller one :

[tex]\begin{cases}x-y=9\ \ \ (1)&\\ x+y=46\ \ \ (2)&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=x-9\ \ \ (1)&\\ 2x=9+46=55\ \ \ (1)+(2)&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=\frac{55}{2} -9=\frac{37}{2} &\\ x=\frac{55}{2}&\end{cases}[/tex]


Related Questions

The table below shows the number of people in a spinning class each day last week.
What is the mean number of people in a class?​

Answers

well to find the mean you need to add up the total number of people and then divide by the total number of days meaning if there is a total of 105 people, you would divide that by 5 and get 21

13 + 23 + 24 + 31 + 14 = 105

105 / 5 = 21

Based on the information provided, the mean number of people in a class is 21 people.

How to calculate the mean number of people?

To calculate the mean number, the general formula is the total of people in the class/ number of classes.

Then, let's find the total of people in classes by adding the number of people that are in class every day:

13+23+24+31+14 =  105 people in total

Number of classes: 5 classes or 5 days

The mean number of people in a class: Divide the total of people by the number of classes

105 / 5 = 21 people per class in average

Learn more about the mean in https://brainly.com/question/31101410

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PLEASE I NEED HELP. WILL MARK BRAINLEST
NO ANSWER IN FILES PLEASE
There are 9 balls numbered 1 through 9 placed in a bucket. What is the probability of reaching into the bucket and randomly drawing four balls numbered 6, 9, 8, and 7 without replacement, in that order? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

Using the permutation formula, as the order is important, it is found that there is a 0.000331 probability of selecting the balls in the desired order.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 balls will be taken from a set of 9, hence the total number of outcomes is:

[tex]P_{9,4} = \frac{9!}{5!} = 3024[/tex]

The desired outcome is only one, hence the probability is given by:

p = 1/3024 = 0.000331.

There is a 0.000331 probability of selecting the balls in the desired order.

More can be learned about the permutation formula at https://brainly.com/question/25925367

what is the solution set for 2x2+15=-11x

Answers

Answer:

2x^2+11x+15=0

factor

2x^2+6x+5x+15=0

2x(x+3)+5(x+3)=0

(2x+5)(x+3)=0

x=-3 and x=-5/2

Evaluate the expression
If x=5
24x + 16

Answers

136 because you take the 5 and the 24 and multiply it then add 16

PLEASE HELP PLEASE PLEASE

Answers

Answer:

C but if its not correct pls tell me. :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula for volume is length × width × height

2×1×2= 4

3×1×1= 3

4×1×2= 8

3×1×3= 9

So D has the biggest volume.

Question
Find the surface area of the regular pyramid.

Answers

Answer:

Surface area:The sum of all the sides to a figure.

Given that the area of the base is 440.4, all we would need to find out is the sum of all the areas of the triangles surrounding it.

Formula for area of a triangle:

A = BH x 1/2

Where 'B' represents the base, 'H' stands for the height, and 1/2 simply means to divide the product of those two lengths(base and height) by 2.

Plug in what we know:-

A = BH x 1/2

A = 16(20) x 1/2

A = 320 x 1/2

A = 320/2

A = 160 mm is the area of one triangle, but we want to know the area of all 5 triangles, so;

160(5)

= 800 mm is the area of all the triangles.

Now add the base area to the area of all the triangles.

440.4 + 800

= 1,240.4 mm.

Therefore the surface area of this pyramid is 1,240.4 mm.

Answer:

1240.4 mm²

Step-by-step explanation:

The surface area of a pyramid = Area of the all sides + Area of base

Each side is a triangle.

With a regular pentagonal pyramid, the area of each triangle is

A = 1/2 x base x slant height

For the 5 triangles,

A = 5 x 1/2 x base x slant height = 1/2 x 5 x slant height

Substitute values,

A = 5 x 1/2 x 16mm x 20mm = 800 mm²

Area of base = 440.4 mm²

Surface area of a pyramid = 800 + 440.4 mm² = 1240.4 mm²

What is the surface area?

Answers

Answer:

130 in^2.

Step-by-step explanation:

It has 8 faces

Surface area = 4*2 + 1*2 + 3*2 + 5*2 + 7*2 + 6*2 +  6*7-3 + 6*7-3

= 8+2+6+10+14+12+39+39

= 130 in^2.

Question 5
O Mark this question
22
5.3
A manufacturing company has two plants at different locations producing three different
items equally within each plant. Based on the number of workers and the demand for
the items in their respective locations, the number of items manufactured per day by
each plant is listed in the table.
5.4 T
5.4
5.4
Plant A
Plant B
5.4
Item 1
22
15
5.4
Item 2
00
8
12
5.4.
Item 3
14
25
5.5 An
5.5.1
Select the observed and expected frequencies for Item 2 produced by Plant B.
5.5.2
5.5.3
Observed: 12
5.5.4

Answers

The observed and expected frequencies for Item 2 produced by Plant B will be 12 and 17.3.

What is an observed frequency?

It should be noted that observed frequency simply means counts that are made from experimental data.

Here, the observed frequencies for Item 2 produced by Plant B is 12. The expected frequency will be:

= (15 + 12 + 25)/3

= 52/3

= 17.3

Learn more about observed frequency on:

https://brainly.com/question/238666673

The interior angles formed by the sides of a quadrilateral have
measures that sum to 360°
What is the value of x?
Enter your answer in the box.
|(2x + 3) (2x + 3)
X =

Answers

Answer:

2x3=6.

so I think it is either 6 or 12

2x3=6

Answer:

it's 59 I hope this helps

please help me with this its due in 15 minutes plus ill need help with more

Answers

Answer:

171 Square Feet

Step-by-step explanation:

We first cut the figure up into smaller parts...

we then use the formula (L x W = A) to find the area

L = Lenth

W = Width

the first rectangle (1)...

15 x 5 = 75

the second figure (2)...

8 x 9 = 72

the third figure (3)...

6 x 4 = 24

now we have to add up all the values to find the area of the entire figure...

75 + 72 + 24 = 171

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

could anyone help me with this?

Answers

Answer:

C

Step-by-step explanation:

Complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.) Then graph the quadratic function. Be sure to label the axes and vertex.

y = -x^2 - 4x - 3

( Thanks in advance!! )

Answers

The quadratic equation y = -x^2 - 4x - 3 has a degree of 2

The vertex of the function is (-2,1)

How to graph the function?

The equation of the function is:

y = -x^2 - 4x - 3

Differentiate

y' = -2x - 4

Set to 0

-2x - 4 = 0

Solve for x

x = -2

Substitute -2 for x in y = -x^2 - 4x - 3

y = -(2)^2 - 4(-2) - 3

y = 1

The above means that the vertex of the function is (-2,1)

See attachment for the graph of the function

Read more about quadratic functions at:

https://brainly.com/question/1497716

What happens to a number when you multiply by 1000? Why does this happen?

Answers

Answer:

the number will get 1000 times larger than its original number or 3 zeroes will be added in the last place of the number

Step-by-step explanation:

let's say x=5,

if we multiply 5 by 1000 it becomes 5000 (it is 1000 times more or larger than its orignal number and 3 zeroes are added in 5000).

A box contains 20 lightbulbs, of which 5 are defective. If 4 lightbulbs are picked from the box randomly, the probability that at most 2 of them are defective is

Answers

938/969
hope this helps :)

Answer:

938/969

Step-by-step explanation:

Got it right on edmentum

which correctly gives the slope and y-intercept of the line represented by the equation below x-y=2

Answers

Answer:

y int = -2

slope = 1

Step-by-step explanation:

x-y=2

-y=-x+2

y=x-2

y int = -2

slope = 1

Answer:

Slope = 1

Y-intercept = -2

Step-by-step explanation:

   First, we will put it into slope-intercept form.

x - y = 2

x = y + 2

y = x - 2

   This gives us the slope of one and the y-intercept being -2.

   Check attachments for more information on slope-intercept form as well as the line graphed.

find the area of the shaded region. Use the formula A= pie r^2 to find the area of a circle

Answers

Answer:

(π6x+21π)m²

Step-by-step explanation:

Solution,

For small circle

radius(r)=x+2

Area(A1)=πr²

Area(A1)=π×(x+2)²

Area(A1)=π×(x²+4x+4)

Area(A1)=πx²+π4x+4π

For big circle

radius(r)=x+5

Area(A2)=πr²

Area(A2)=π×(x+5)²

Area(A2)=π×(x²+10x+25)

Area(A2)=πx²+π10x+25π

Again,

Area of shaded part=A2-A1

Area of shaded part=πx²+π10x+25π-(πx²+π4x+4π)

Area of shaded part=πx²+π10x+25π-πx²-π4x-4π

Area of shaded part=π6x+21π

Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°. Which of the following is a possible way to classify the triangle by side and angle measurements?
A. Obtuse and isosceles
B. Acute and scalene
C. Obtuse and equilateral
D. Acute and equilateral

Answers

Answer:

Acute and Scalene

Step-by-step explanation:

The measurments of the triangle are all almost equal and all the angles are less than 90 degrees, so all of them are acute angles. The scalene triangle has almost all equal sides.

The possible way to classify the triangle by side and angle measurements is,

⇒ Acute and scalene.

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°.

Since, All the angles are less than 90 degree.

Hence, It shows the Acute angle.

Here, Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm.

Clearly, All the sides of triangle are not same in length.

Thus, It shows scalene.

Thus, The possible way to classify the triangle by side and angle measurements is,

⇒ Acute and scalene.

Learn more about the angle visit:;

https://brainly.com/question/25716982

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What is the value of x in the diagram?

Answers

Answer:

C. 20(degree symbol)

Step-by-step explanation:

lol I couldn't find the degree symbol so I just did that

hope this helps :)

How many millimeters are in 5 centimeters?

5 mm
50 mm
500 mm
5,000 mm

Answers

Answer:

50 mm

Step-by-step explanation: i did the test and i got it right

Answer:

50 millimeters are in 5 centimeters. You have to multiply the value by 10 to get your answer when converting centimeters to millimeters.

__________________________________________________________

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

((-6) + 7 - 3) x 2 divided by 4. Order of operations? I think the answer is -1.

Answers

Answer:

-1

Step-by-step explanation:

The order of operation (PEMDAS) states that:

P - ParenthesisE - ExponentsM - MultiplicationD - DivisionA - AdditionS - Subtraction

Given expression:

[{(-6) + 7 - 3} x 2] ÷ 4

We can see that "-6" is the integer that is inside the parenthesis "( )". Therefore, we can open the parenthesis "( )".

⇒ [{-6 + 7 - 3} x 2] ÷ 4

Simplify the expression inside the curvy brackets "{ }" using PEMDAS.

⇒ [{1 - 3} x 2] ÷ 4                     [PEMDAS]⇒ [{-2} x 2] ÷ 4                         [PEMDAS]

Now we can open the curvy brackets "{ }".      

⇒ [-2 x 2] ÷ 4      

Simplify the expression inside the long brackets "[ ]" using PEMDAS.

⇒ [-4] ÷ 4      

Finally, open the long brackets "[ ]" and simplify the expression obtained.

⇒ -4 ÷ 4  ⇒ -1

is this a funcation? (5,8) (7,0) (0,5) (5,2) (9,1)

Answers

Yes it is a funcation

x+6/x=-7 rational equation

Answers

✏Answer ✏

x=-6.

x=-1.

Step-by-step explanation:

# Brainliest Bunch

Step-by-step explanation:

a man bought a second hand radio set for 180. he spend 45 for repair and sold it for 270 what was his profit percentage

Different events have the following likelihoods.sort them from least to greatest:

Answers

you did not include the rest

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

Angle A.

Step-by-step explanation:

A angle is the greatest measure because it is the widest. The wider the angle the more the angle is.

Angle A is the answer









What is the length of segment NS?

1 unit
2 units
4 units
6 units

Answers

Answer: 4 units

Step-by-step explanation:

Answer:

c. 4 units

Step-by-step explanation:

Hewo Pls Answer the questions below TY!

Answers

Answer:

dont worry if people report you for a answer that is not right lol trust me i know

Step-by-step explanation:

Please where is the question
There is no question below

Can you help me with this?​

Answers

Answer:

(2,-3) and (49/29, -108/29)

Step-by-step explanation: Assuming this is an exam and time is limited, first you gotta sketch the circle for clarity. Using the standard circle equation

(x-a)^2 + (y-b)^2 = r^2

(x-1)^2 + (y+3)^2 =1

You can always expand to verify it gives x^2 + y^2 - 2x + 6y + 9=0

Now you know (a,b) which is also the center of the circle being= (1,-3) and the radius(r) = 1

Your first assumption here even without drawing the circle is that it has to be in the fourth quadrant meaning all values of x for any point of intersection on that circle has to be +ve. Looking at your answer choices only c with is (2,-3) and (49/29, -108/29) fulfills this hence it is your answer.

Also you have to realize point (2,-3) on the straight line has same y coordinates with center of this circle.

Consider the line 2x+6y= -4. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?​

Answers

Answer:

the slope of the line perpendicular to that line is 6/2

Step-by-step explanation:

Find the slope of the original equation by putting it into y=mx + b form

2x+6y=-4                  Given

2x-(2x)+6y=-4-(2x)   Subtract 2x from both sides

6y= -2x -4                Simplify

6y/6= -2x/6 -4/6      Divide both sides by 6

y= -2/6 x - 4/6          Simplify

*perpendicular slopes are opposite reciprocals*

-2/6 = slope

2/6 is the opposite of -2/6

6/2 is reciprocal of 2/6

What is the range and domain!!
PLEASE HELP I WILL GIVE OUT MORE POINTS AND MARK BRAINIST ONLY IF YOU RIGHT I DO CHECK IT BUT PLEASE AND THANK YOU

Answers

domain : {5,10,15,20,25,30,35,40,45,50}
range: {0,10,20,30,40,50,60,70,80,90,100}
i haven’t done it in a while, but domain is all X values and range is all Y values
hope this helps!

Answer:

Domain:  0 ≤ x ≤ 50

Range:  0 ≤ y ≤ 100

Step-by-step explanation:

Information

Domain: set of all possible input values (x-values)

Range: set of all possible output values (y-values)

Closed circle: less than or equal to and greater than or equal to (≤ or ≥)

Open circle: less than or greater than (< or >)

Domain

From inspection of the diagram:

minimum value of x = 0maximum value of x = 50Closed circle at the beginning and end of the line

Therefore, the domain is:  0 ≤ x ≤ 50

Range

From inspection of the diagram:

minimum value of y = 0maximum value of y = 100Closed circle at the beginning and end of the line

Therefore, the range is:  0 ≤ y ≤ 100

an eqaution is shown 6x-3=3x+12 solve for x

Answers

Answer:

x=5

Step-by-step explanation:

6x-3=3x+12. Subtract 3x from both sides.

3x-3+12. Add 3 to both sides.

3x=15. Divide 3 from both sides.

x=5

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