The sum of three numbers is 54 . The third number is 2 times the second. The second number is 10 more than the first. What are the numbers?
first number:
second number:
third number:

Answers

Answer 1

Answer:

First number: 6

Second number: 16

Third number: 32

Step-by-step explanation:

x + y + z = 54

z = 2y

y = x + 10

Now you can substitute y = x + 10 into z = 2y

The equation becomes z = 2x + 20

Now plug it into the main equation.

x + x + 10 + 2x + 20 = 54

4x + 30 = 54

4x = 24

x = 6

y = 16

z = 32


Related Questions

The sum of two numbers which are in the ratio 5:7 is 48. Find the smaller number

Answers

Step-by-step explanation:

5+7=12

5/12×48 7/12×48

=20 =28

I don't say you have to mark my ans as brainliest but if my ans has really helped u pz dpn't forget to thank me....

The circumference of a circle B is 80% of the circumference of circle A
find the ratio of the area of circle A to the area of circle B. giving your answer in the form 100:n

Answers

Answer:

100:64

Step-by-step explanation:

i don't know how i got it LOL

The ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Let we suppose that:

The radius of circle A = C unitsThe radius of circle B = s units.

Then we get:

Circumference of circle A = [tex]2\pi r \: \rm units[/tex]Circumference of circle B = [tex]2\pi s \: \rm units[/tex]

As per the given information:

The circumference of a circle B is 80% of the circumference of circle A, or:

[tex]2\pi s \: \rm units[/tex] = 80% of [tex]2\pi r \: \rm units[/tex]

or:

[tex]2\pi s = \dfrac{2\pi r}{100} \times 80\\\\s = 0.8r \: \rm units[/tex]

Also, we have:

Area of circle A = [tex]\pi r^2 \: \rm units[/tex]Area of circle B = [tex]\pi s^2 \: \rm units[/tex]

The rato of the area of the circle A to the area of the circle B is:

[tex]Area(A): Area(B) = \dfrac{\pi r^2}{\pi s^2} = \left( \dfrac{r}{s}\right)^2[/tex]

since we've got [tex]s= 0.8r[/tex], therefore,

[tex]Area(A): Area(B)= \left( \dfrac{r}{s}\right)^2 = \left(\dfrac{r}{0.8r}\right)^2 = \dfrac{100}{64} \\\\Area(A): Area(B)=\dfrac{100}{64} = 100:64[/tex]

Thus, the ratio of the area of circle A to the area of circle B for the considered circle A and B is  100:64

Learn more about ratio here:

brainly.com/question/186659

Find the value of g(7) for the function below.
g(x)=7/8 x -1/2
A. 53/8
B. 49/8
C. 60/7
D. 45/8

Answers

To get this you substitute 7 for the x.

7/8(7)-1/2

49/8-1/2

49/8-4/8

45/8 is the value.

Question:

Find the value of g(7) for the function below.

g(x)=7/8 x -1/2

A. 53/8

B. 49/8

C. 60/7

D. 45/8

Answer:

D. 45/8

Find the arc length of AB. Round answer to nearest tenth.

Answers

Answer:

9.8 inches

Step-by-step explanation:

Set up a proportion:

central angle / 360  = arc length / circumference

[tex]\frac{80}{360}[/tex] = [tex]\frac{x}{14\pi }[/tex]

360 divided by 14pi is about 8.2, so divide 80 by 8.2 to find x.

x = 9.8 in

Answer:

9.8 inches

Step-by-step explanation:

The formula for arc length is (θ/360)2πr

This is where θ represents the measure of the central angle in degrees,

and r represents the radius of the circle.

This said, we can plug our values in.

(80/360)2π7

Simplify.

(2/9)14/π

28/9π

9.7738438112

Round to nearest tenth.

9.8

The equation of a circle is x2 + y2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle?

Answers

Step-by-step explanation:

x2+y2+6y+(9-9)=7

x2+y2+6y+9=16

x2+(y+3)2=16

center:(0,-3)

r:4

Please answer correctly !!!!!!! Will mark brainliest

Answers

Answer:

option 1

Step-by-step explanation:

y = 3x + 3   ie       3x -y +3 =0     a1= 3  , b1=-1  ,  c1=3

y = -2x + 3   ie      -2x -y+3 = 0    a2=-2 , b2=-1 , c2=3

on comparing the ratios ,

a1/a2 = 3/2

b1/b2 = -1/-1= 1/1 =1/1= 1

a1/a2 ≠ b1/b2

therefore the pair of linear equations will have exactly one solution

mark me as the brainliest...

Answer:

A

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

A right rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters. Which statements describe the prism? Select three options. The prism is a cube. The diagonal of the base is 4StartRoot 5 EndRoot centimeters. The length of a side of the base is 20 centimeters. The area of a base is 40 square centimeters. The area of a lateral side between the bases is about 126.5 square centimeters.

Answers

Answer: The area between the bases is about 126.5 square centimeters

Step-by-step explanation:The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area between the bases is about 126.5 square centimeters

Answer:

B, D, E

Step-by-step explanation:

Edg2020

Amelia stars reading at 3: 25 and reads for 15 minute. What type of angle is formed by the hour and minute hands of the clock wen Amelia fineshes reading

Answers

Answer:

Step-by-step explanation:

If sh starts reading at 3:25 and reads for 15 minutes, she is finished at 3:40. The hour hand is on the 3 and the minute hand is on the 8, so there is a difference of 25 minutes between the hour hand and the minute hand. Each 5-minute increment is 30 degrees (360 / 12) so 30 x 5 = 150 degrees. This is an obtuse angle. Not sure what kind of an answer you're looking for so I gave both the degree measure of the angle formed by the hour hand and the minute hand, and the classification of the angle.

Answer:

90 degrees, which is a right angle

Step-by-step explanation:

The time indicates when she starts reading is irrelevant. The only thing to notice is that she reeds for 15 minutes. Whenever you read for 15 minutes the angle that is formed by the hour and minute hands of the clock will always be the same, regardless of the starting time!

60 minutes comes down to 360 degrees.

1 minute = 60/60 and that comes down to 360/60 = 6 degrees.

15 minutes = 15 times 1 minute....

15 minutes comes down to 15* 6 = 90 degrees

90 degrees is a right angle

is 5 greater than 5 .01

Answers

Answer:

Is 5 greater than 5 .01?

This is incorrect.

Step-by-step explanation:

This is false, that 1% makes 5 .01 greater than 5. Thats why 5.01 is greater than 5.

Answer:

5 is less than 5.01

Step-by-step explanation:

5.01 is greater than 5

Consider the polynomial 6x2 - 8x + 2.
What is the GCF of the polynomial?
2
What is the equivalent factored form of the polynomial?
(3x - 1)(x - 1)
(3x + 1)(x + 1)
2(3x - 1)(x - 1)
2(3x + 1)(x + 1)

Answers

Answer:

2(3x - 1)(x - 1)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

e2021

1. An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3,−2). Find the other endpoint.

______


2. An endpoint of a line segment is (−10,−2) and the midpoint of the line segment is (0,4). Find the other endpoint.

______

Answers

Answer:

1. (2, -9) 2. (10, 10)

Step-by-step explanation:

Al mediodía me he comido la mitad de una tortilla de patatas. A la hora de la merienda, Ana ha tomado un tercio de la tortilla original, y para cenar, Luis se ha tomado tres cuartas partes de lo que quedaba. ¿Qué fracción de la tortilla queda al final del día?

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

La mitad es 1/2 y un tercio es 1/3. Como una persona se comió 1/2 y Ana 1/3, puedes determinar lo que se comieron sumando:

[tex]\frac{1}{2}[/tex]+[tex]\frac{1}{3}[/tex]=[tex]\frac{3+2}{6}[/tex]=[tex]\frac{5}{6}[/tex]

Como se comieron 5/6, puedes restar esto de 6/6 para determinar cuanto quedó de la tortilla:

[tex]\frac{6}{6}-\frac{5}{6}= \frac{6-5}{6} =\frac{1}{6}[/tex]

De acuerdo a esto, quedó 1/6 de la tortilla. Luis tomó tres cuartas partes de lo que quedaba, lo que significa que quedó 1/4 de 1/6. Para encontrar la fracción de la tortilla que quedó puedes dividir 1/6 entre cuatro para saber a cuanto corresponde una cuarta parte de 1/6:

[tex]\frac{1}{6}[/tex]÷4= [tex]\frac{1/6}{4}= \frac{1}{6*4}=\frac{1}{24}[/tex]

De acuerdo a esto, la fracción de la tortilla que quedó al final del día es [tex]\frac{1}{24}[/tex].

Find the surface area.

Answers

Answer:

The answer is 657.63

explanation

cylinder surface area = 897.63

rectangular prism surface area = 240

897.63 - 240 = 657.63

I have not done surface area in a while so It might be slighty off, sorry

A group of 5 friends sold lemonade. If they sold the cups for $0.50, how much money did each friend make if they split the money evenly?

Answers

How many did they sell?

Answer:

i cannot answer your question accuratley because you did not provide enough information but i can show you how to solve your problem

Step-by-step explanation:

if you are provided with the amount of cups they sold multiply that number by $0.50. divide the product by 5 and you will get your answer

hope this helps :)

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

The missing is 7

7 x (6 + 5) - (7 x 6) + (7 x 5)

hope it helps!!!!! :]

which of the following is equal to the rational expression when x ≠ -4 or 16

Answers

Answer:

A

Step-by-step explanation:

(x^(2)-16)/((x-16)(x+4))=

[(x+4)(x-4)]/(x-16)(x+4)=

x-4/x-16

Answer:

A. [tex] \dfrac{x - 4}{x - 16} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 - 16}{(x - 16)(x + 4)} = [/tex]

[tex] = \dfrac{(x - 4)(x + 4)}{(x - 16)(x + 4)} [/tex]

[tex] = \dfrac{x - 4}{x - 16} [/tex]

A town has a population of 5000 and grows at 2% every year. What will be the population after 5 years, to the nearest while number?

Answers

Answer:

5520 population after 5 years

Step-by-step explanation

5000*1,02^5 = 5520

hope i could help <3

Test whether the following functions are analytic exp(x).(cos y + i sin y)

Answers

Answer:

The given f(z) is analytic function

i)  δU/δx   = eˣ (cos y) = δV/δy    

ii)  δU/δy   = eˣ (-sin y) = -  δV/δx  

Hence the CR - equations are satisfied

Step-by-step explanation:

Explanation:-

Analytic function:-

A point at which an analytic function ceases to posses a derivative is

called a singular point of the function.Thus the necessary and sufficient condition for a complex function f(Z) = U+i V is analytic in a region R are

δU/δx = δV/δy     and δU/δy = -δV/δx    ( C R equations)

Given f(Z) = eˣ(cos y+ i sin y)

Let          U = eˣ(cos y)   ....(i)

and

              V = eˣ(sin y) ....(ii)

Differentiating equation(i) partially with respective to 'x'

             δU/δx   = eˣ (cos y)

Differentiating partially equation(i) with respective to 'y'

             δU/δy    = eˣ (-sin y)

Differentiating equation(ii) partially with respective to 'x'

             δV/δx    = eˣ (sin y)

Differentiating equation(ii) partially with respective to 'y'

             δV/δy    = eˣ (cos y)

Now

          δU/δx   = eˣ (cos y) = δV/δy    

i)            δU/δx = δV/δy  

           δU/δy   = eˣ (-sin y) = -  δV/δx    

ii)         δU/δy = -  δV/δx    

Hence the CR - equations are satisfied

There fore the given f(z) is analytic function

   

             

A circle is cut from a square piece of cloth, as shown: How many square inches of cloth are cut from the square? (π = 3.14)
A.) 1,061.32 in2
B.) 2,122.64 in2
C.) 2,704.00 in2
D.) 3,622.31 in2

Answers

Answer:

2122.64 in^2

Step-by-step explanation:

Use the formula for the area of a circle: A=πr^2

The radius will be half the width of the cloth so 52÷2=26

26^2=676

Multiply by π given as 3.14

676×3.14=2122.64 square inches.

The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.

Answer:

B

Step-by-step explanation:

2,122.64 in2

A closed cylinder has a radius of 3cm and height 7 cm. find its total surface area.​

Answers

The total surface area of the cylinder is 188.4 cm².

Given that, the radius of the cylinder=3 cm and the height of the cylinder=7 cm.

We need to find the total surface area of the cylinder.

What is the formula to find the total surface area of the cylinder?

The formula for the total surface area of a given cylinder whose radius is r and height is h is 2πr (h + r).

Now, 2×3.14×3(7+3)=188.4 cm².

Therefore, the total surface area of the cylinder is 188.4 cm².

To learn more about the total surface area of the cylinder visit:

https://brainly.com/question/13952059.

#SPJ2

One vertex of a triangle is located at (0,5) on a coordinate
grid. After a transformation, the vertex is located at (5,0).
Which transformations could have taken place? Select
two options.
Ro, 90°
Ro, 180°
Ro, 270°
U
Ro -90°
Ro -180°

Answers

Answer:  Ro, 270°   and   Ro -90°

Step-by-step explanation:  If the vertex is at 5 on the y-axis at (0,5) and the transformation has moved the vertex to (5,0) it is now at +5 on the x-axis. This is a rotation around the origin, Rotation notation Ro.

This is fairly easy to visualize: like the hand of an analog clock moving from 12 o'clock to 3 o'clock.

In geometry, rotations are given in degrees, moving counter-clockwise. There are 360° in a circle.

Moving 3/4 of the way around the circle counterclockwise.  

Multiply(3/4)(360) =  270. This is a positive rotation, counter-clockwise

Clockwise, it is 1/4 of the circle, so Multiply (1/4)(360)= 90  But remember to add the negative sign because clockwise is considered a negative rotation.

Ro, -90°

The transformations that could have taken place are Ro, 270° and Ro -90°

How to determine the transformations

The vertex of the triangle is given as: (0,5)

After transformation, the vertex of the image is given as: (5,0)

The transformation follows the rule:

[tex](x,y) \to (y,x)[/tex]

The above rule represent:

90 degrees counterclockwise rotation270 degrees clockwise rotation

Hence, the true statements are Ro, 270° and Ro -90°

Read more about transformation at:

https://brainly.com/question/1548871

p + 0.20p as an equivalent expression

Answers

Answer:

An equivalent expression to p - 0.20p is 0.8p Hope this helps :)

what is this can someone tell me

Answers

Answer:

A. y+4=f(x)

Step-by-step explanation:

if you were to make this a y= equation then you would have to move the 4 to the other side by subtracting 4 from both sides therefore making the value of f(x) - 4

you should try it out in a graphic calculator like Desmos, it's an online graphic calculator

Tanya buys 12 water bottles. Of these bottles, 5 hold 300 milliliters each and 7 hold 1.5 liters each. Part A How much water, in milliliters, does Tanya buy? Enter your answer in the box.​ Part B How much water, in liters, does Tanya buy? ​Enter your answer in the box.​

Answers

Answer:

A- 12,000ml

B- 12l

Step-by-step explanation:

To find milliliters:

1.5l = 1500ml

300(5) + 1500(7) = (1500 + 10500 =) 12,000ml

To find liters:

300 ml = 0.3l

0.3(5) + 1.5(7) = (1.5 + 10.5 =) 12L

Hope this helps!

Pablo generates the function f(x) = 3/2 {5/2} ^ x-1 to determine the xth number in a sequence.

Answers

Answer:

A on ed2020

Step-by-step explanation:

Which expression is equivalent to 85? A) 8 · 5 B) 8 + 8 + 8 + 8 + 8 C) 8 · 8 · 8 · 8 · 8 D) 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5

Answers

Answer:

A. 8.5

Step-by-step explanation:

is equivalent to 85 because

8.5 is in decimal.

remove the point from the middle and it will be 85 over 10.

Answer:

A

Step-by-step explanation:

There are 2 1/2 pizzas if each gets an eighth of a pizza how many people get a slice

Answers

Answer:

20.

Step-by-step explanation:

That would be 2 1/2 divided by 1/8

= 5/2 / 1/8

= 5/2 * 8

= 40/2

= 20.

What is the value of the expression below when w =2 ? 8w²+8w+9

Answers

Answer:

57

Step-by-step explanation:

Replace the variable with the said number

(8 x (2²))+(8 x 2)+9

Simplify

8 x 4 + 8 x 2 + 9

32 + 16 + 9

Solve

32 + 16 + 9 = 57

Answer:44

Step-by-step explanation:

pls help for this question i need this question to be right thanks

Answers

Answer:

 = 972 pi  units ^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi  (9)^3

 = 972 pi  units ^3

What are the domain and range of the function

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me my frnd..

__________________________________

Hey!!!!!!

Domain and Range

Let R be a relation from A to B.

Then, the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the Range.

For example:

If R:(A,B)={(1,1), (2,4), (3,9)} then,

Domain={1,2,3}

Range={1,4,9}

Hope it helps...

Good luck on your assignment.........

Stay Safe......

__________________________________

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