the sum of the age of a boy and his sister is 32 years. The boy is 6 years older than his sister. How old is his sister?​

Answers

Answer 1

Answer:

26 is the correct answer

Answer 2

Answer:

His sister is 10?

Step-by-step explanation:

Because if he's 16 then she's 10


Related Questions

The original price of a bicycle was $375. Now it is on sale for $295. What percentage of the original price was the markdown?

Answers

Answer: $80

Step-by-step explanation:

Answer:

The percentage of the original price that was discounted is 21.33%

Step-by-step explanation:

The original price of a bicycle was $375. Now it is on sale for $295.

The discounted price of a product is calculated as the percentage of discount that you want to apply multiplied by the price of the product. This is the amount of money that is discounted. But to calculate the sale price, the original price of the product must be subtracted minus the discounted quantity.

So, this expressed in this case is:

375-x*375=295

The value of x is the discount that you want to calculate expressed in decimal number. This result will then be multiplied by 100 to obtain the discount expressed as a percentage.

Isolating the value of x you get:

-x*375=295-375

-x*375=-80

x=(-80)÷(-375)

x=0.2133

As a percentage, it is 0.2133*100= 21.33%

The percentage of the original price that was discounted is 21.33%

Find the measure of the angle indicated in bold.*
a. 40 degrees
b. 109 degrees
c. 54 degrees
d. 131 degrees​

Answers

Answer:

131°

Step-by-step explanation:

the equations represent alternate exterior congruent angles so they are equal.

31x + 7 = 32x + 3

simplify:

4 = x

31(4) + 7 = 131°

in the sequence: 67, 55, 46, 34, 25,…, what number should come next?
a) 16
b) 13
c) 15
d) 19

Answers

Answer:

b) 13

Step-by-step explanation:

67 - 55 = 12

55 - 46 = 9

46 - 34 = 12

34 - 25 = 9

25 - x = 12

rearrange that so,

25 - 12 = x

x = 13

Answer:

b) 13

Step-by-step explanation:

67 - 12 = 55

55 - 9 = 46

46 - 12 = 34

34 - 9 = 25

pattern: subtract 12, subtract 9

the pattern tells us to subtract 12, so take take 25 and subtract 12 from it:

25 - 12 = 13

No need for an explanation it is option

Answers

Answer:

152

Step-by-step explanation:

Trick question,

4x + 52 + 28 = 180

Then

You subtract 180 and 28 to get 152

give the center and the radius of the circle of x^2+y^2+6x-8y=0​

Answers

(x+a)² + (y+b)² = R²

C (a,b)

R = 5 C( 3 , -4 )

help !! 10 points!! :)

Answers

Answer:

line f

Step-by-step explanation:

EFGH is translated 5 units to the left and 2 units up.
y
-1 1 2 3 4 5 6 7 8 x
-1
E4,-1)
-2
FO, -3)
H6, -2)
-3
-4
G(2, 4)
-5
8
-7

A. E(-1,1)

B. E(6,-6)

C. E (-1,-3)

D. E(9,-3)

Answers

The correct answer will be C: E(-1,1)one has to be negative because of it going to the left so it will have to be the first one

Here is my question again:

Answers

Answer:

[tex] \sqrt[2]{3} [/tex]

[tex] \sqrt[4]{3} [/tex]

Step-by-step explanation:

A garden is in a shape of an equilateral triangle with side 4 ft.

The objective is to find the area of the garden.

The formula to find the area of the triangle is, A= 1/2• b • h

Here, b represents the side of the triangle and h represents and h represents the height of the triangle.

The height of an equilateral triangle can be calculated by,

H = /3/2 • b

= /3/2 • 4

=

[tex] \sqrt[2]{3} [/tex]

Now substitute the value of b and h in the formula of area of triangle.

A = 1/2 • 4 •

[tex] \sqrt[2]{3} [/tex]

=

[tex] \sqrt[4]{3} [/tex]

ft²

Answer:

4 and [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

Base of the triangle is:

b = 4

Height of the triangle:

h = [tex]\sqrt{4^2 - (4/2)^2}[/tex] = [tex]\sqrt{16 - 4}[/tex] = [tex]\sqrt{12}[/tex] = [tex]2\sqrt{3}[/tex]

Area is:

A = 1/2* 4* [tex]2\sqrt{3}[/tex]

We want to find the zeros of this polynomial:
p(3) = (x + 2)(2x - 3)(3-3)
Plot all the zeros (x-intercepts) of the polynomial in the interactive graph

Answers

it’s -2 , 3/2 , and 3

A store had 300 empty shelves. Each shelf could hold 20 cans. What is the total number of cans the shelves could hold?

Answers

Answer:

it can hold 6000 cans

Step-by-step explanation:

brainliest plz

Answer:

6000 cans

Step-by-step explanation:

Empty Shelves = 300

Each shelf can hold = 20 cans

Total = 300 * 20

        =6000 cans

The coordinates for a rectangle are 3,6 3,-6 -7,6 what is the perimeter

Answers

Answer:

Perimeter of the rectangle = 44 units

Step-by-step explanation:

Let the coordinates given are the vertices A(-7, 6), B(3, 6), and C(3, -6) of the rectangle.

Since, opposite sides of a rectangle are equal in length,

Fourth vertex of the rectangle will be D(-7, -6)

Length of AB = 3 - (-7) = 10 units

Length of BC = 6 - (-6) = 12 units

Length of CD = 3 - (-7) = 10 units

Length of AD = 6 - (-6) = 12 units

Therefore, perimeter of the rectangle = 2(Length + width)

                                                               = 2(12 + 10)

                                                               = 44 units

what is 2 copies of 1/6

Answers

1/6 + 1/6 = 2/6
2/6=1/3

A wall 4 ft. high casts a 6 ft. shadow, while a tree casts a 24 ft. shadow How tall is the tree ?

Answers

file link above thiss

what is the best description pf addititon property of equality

Answers

Addition Property of Equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Carmena and Alicia go to the supply store to purchase packs of
pens and paper. Carmen bought 5 packs of paper and 3 packs
of pens for $36.60. Alicia bought 6 packd of paper and 6
packs of pens for $53.40. What is the price of one pack of
paper and one pack of pens?

Answers

Pens Are 4:95

Paper is 3:95

The prices for both the things are $4.95 and $3.95 respectively.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

Given that,

The price for  5 packs of paper and 3 packs of pens is  $36.60.

And, for 6 packs of paper and 6 packs of pens is  $53.40.

Suppose the price of one paper pack be x and of pens be y.

Then, the given case can be written in terms of equation as,

5x + 3y = 36.60         (1)

6x + 6y = 53.40         (2)

Solve the equations by multiplying equation (1) by 4 and (2) by 2 and then subtracting as follows,

2(6x + 6y) - 4(5x + 3y) =  2 × 53.40 - 4 × 36.60  

=> 12x - 20x = 106.80 - 146.40

=> -8x = -39.60

=> x = 4.95

Substitute x = 4.95 in equation (2) to get,

6 × 4.95 + 6y = 53.40

=> 6y = 53.40 - 29.70

=> y = 23.70/6

       = 3.95

Hence, the prices of one pack of paper and one pack of pens are $4.95 and $3.95 respectively.

To know more about system of equations click on,

brainly.com/question/24065247

#SPJ2

Pls Help!!!!! I will pick the brainiest answer as well. ;)

Answers

Answer:

49

Step-by-step explanation:

20+4=24 24+25=49

Which solution for P makes the equation true?

Answers

Answer:

8

Step-by-step explanation:

12.50(8) =100 +20 = 120

Answer:

p=8

Step-by-step explanation:

First we have to try all of the options to see if it is right

12.50(8)+20=120

(12.50*8)+20=120

100+20=120

120=120

Yay! The first one was right!

Alex graphed two lines in order to find the
solution to a given system of equations.
What is the solution?

Answers

Answer:

It's the point in where they intersect or cross.

HELP 40 POINTS!!!! ILL GIVE BRAINLIEST TOO

Answers

Answer:

40 students

10 teachers

Step-by-step explanation:

32 + 8 = 40

5 + 5 = 10

Hope this helps!! ♥︎

what is the median test score?
a)2.5

b)2

c)3

d)5

Answers

Answer: The answer I got was A) 2.5

Step-by-step explanation:

Hope this Helps!!!

Ok first of all fort nite is you know second I did some calculations its not five so the thing I cant find out is what 5.5  rounded is so what ever 5.5 rounded to is your answer so if you find out what 5.5 is rounded to youll have your answer! I hope this helps

Is the number 0.1875 rational or irrational

Answers

rational...............

On a coordinate plane, a piecewise function has 3 lines. The first line has a closed circle at (negative 3, negative 4) and continues horizontally to an open circle at (0, negative 4). The second line has a closed circle at (0, 2) and continues horizontally to an open circle at (4, 2). The third line has a closed circle at (4, 3) and continues horizontally through (5, 3) with an arrow instead of an endpoint.
A step function is shown on the graph. What are the domain and range?

Domain:

Range:

Answers

Answer:Answer:

f(-2) = 2

f(0) = 3

f (4) = -1

Step-by-step explanation:

The equation of the straight line passing through the points (0,3) and (-4,1) is  

⇒ 2(y - 1) = x + 4

⇒ 2y - 2 = x + 4

⇒ 2y = x + 6

⇒  

Again, the equation of the line passing through the points (0,1) and (4,-1) is

⇒ - 2 ( y + 1) = x - 4

⇒ - 2y = x - 2

⇒  

Therefore, the function is defined as

for x ≤ 0 ........... (1) and  

for x > 0 ............ (2)

Therefore, f(-2) = 2 from equation (1).

f(0) = 3 from equation (1)

And f (4) = -1 from equation (2). (Answer)

Step-by-step explanation:

Answer:

Sorry this is late but here:

Domain: real numbers greater than or equal to -3

Range: equal to -4, 2, and 3

Step-by-step explanation:

I just did it on edge :D

Can someone please help me with math.

Answers

Answer:

Your answer would be B.

Step-by-step explanation:

Hope this helps!

15.00 + 1.75x = 7.50 + 2.25

Answers

I believe it’s X=+15 sorry if I’m wrong

from a point 12 ft from the base of a building, the angle of elevation from the ground to the top of the building is 70 degrees. Which is the closest to the height of the building​

Answers

Answer:

c 33ft .....

Step-by-step explanation:

c is correct

The possible height of the building is 33 ft.

What is Angle of Elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Here, Let the height of the building be x ft

           Base = 12ft.

          Angle of Elevation = 70⁰

Now, tan α = perp. / base

         tan 70⁰ = x/12

         2.74 = x/12

          x = 12 X 2.75

          x = 33

Thus, the possible height of the building is 33 ft.

Learn more about Angle of Elevation from:

https://brainly.com/question/21137209

#SPJ2

PLEASE HELP WILL MARK BRAINLIEST THIS IS DUE IN AN HOUR

Answers

total surface area = 336 m2
lateral surface area = 288 m2

the answer is B,

Does the point (4, 1) lie on the line y = 3x + 1 ?​

Answers

Answer:

no

Step-by-step explanation:

To determine if the point lies on the line, substitute x = 4 into the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.

y = 3(4) + 1 = 12 + 1 = 13 ≠ 1

Thus (4, 1) does not lie on the line

Replace x in the equation with the x value of the point and solve for y. If Y equals the y value of the point then the point lies on the line.

y = 3x + 1

y =3(4) +1 = 12 +1 = 13

y = 13, this does not equal the y value of the point which is 1, so point (4,1) does not lie on the line.

Solve the given proportion.

x = [?]

Answers

Answer:

x=48

Step-by-step explanation:

I hope I helped!!1

PLEASE HELP!!!! It’s timed
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 41, adjacent B C is 9, opposite A C is 40.

Answers

Answer:

b

Step-by-step explanation:

we are given opposite, adjacent and hypotenuse

and said to find cos(B)

recall trigonometric identity [tex]\cos(\theta)=\dfrac{adj}{hypo}[/tex]

let adj and hypo be 9 and 41 respectively

so

[tex] \displaystyle \: \cos( \beta ) = \frac{9}{41} [/tex]

hence our answer is b

What is the median of 5,2,9,21,12,3

Answers

Answer: 7

Step-by-step explanation:

First order the numbers by least to greatest

2, 3, 5, 9, 12, 21

Then find the number inbetween

In this case it's a tie between 5 and 9.

Find the average of those two numbers

The average is 5+9/2 = 7

Median is 7

Other Questions
what is the equation of the graph that is shown below in slope intercept form? y=-2x+3 y=-2/3 x+2 y=2/3x+2 y=3/2x+2 Which of the following set of numbers is made up of integers?1. -12, 0, +11, -14, +132. 12, -15, 0, 1/4, 0.753. -3.2, 4.75, 0, 1 1/2, -3/44. None of the above GEOMETRY!!! Will give brainliest How many different numbers between $\dfrac{1}{1000}$ and $1000$ can be written either as a power of $2$ or as a power of $3$, where the exponent is an integer? Why did Fidel Castro need economic support of the Soviet Union? Amelia Earhart was the first female pilot to fly across the Atlantic Ocean. She was also a member of the National Womens Party and an early supporter of equal rights for women. In addition, she was a member of the National Womens Party and an early supporter of what proposed Amendment to the U.S. Constitution? According to the Brinsted -Lowry. what is an acid ? what is a base ? I need the scale factor of this please, its due today:) How did Allied forces try to break these codes? help me!!!!! true or false? Ran has 17 cameras to clean. He cleans 10 cameras.Then rah finds 8 more cameras to clean. How many cameras does ran has to clean now? write 5 FACTD ABOUT PEDIGREES Two 20kg spheres are placed with theirCentres 50cm apart. What is the magnitude ofgravitational force each exerts on the other? Plz Answer all of the questions Decide if the following sentence is grammatically CORRECT or INCORRECT.Gestern sind wir immer geradeaus gegangen.incorrectcorrect Sarah has 31.2 pounds of dog food. She divides the food into bags that will hold 5.2 pounds each.How many bags will Sarah fill with dog food? How many different laws are there will give best answer brainest PLEASE HELP ME I DONT UNDERSTAND!!EVERYTHING YOU NEED TO KNOW IS ON THE IMAGE BELOW!!!Show your work so I can mark you brainliest!!! 3x = 42 solve for x show work plz PLZ HELP ME ASAP PLZ PLZ WILL GIVE BRAINLEST