What is the length of Line segment S R?

Answer:

Step-by-step explanation:

We have,

Mean = Σx/n

or 12= (m+n+s+p+q)/5

or, m+n+s+p+q = 60 ...........(i)

Again,

New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]

or, New Mean = {(m+n+s+p+q)+13}/5

or, New Mean = (60+13)/5 = 73/5 [from eq (i)]

∴ New Mean = 14.6 Ans.

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

Amrita's number was 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

We can write an expression from the given statement.

{ (2x + 9) ÷ 3 } - 1 = x

Solve for x.

{ (2x + 9) ÷ 3 } - 1 = x

(2x + 9)/3 - 1 = x

2x + 9 - 3 = 3x

Add 3 on both sides.

2x + 9 =  3x + 3

Subtract 9 on both sides.

2x = 3x + 3 - 9

2x = 3x - 6

6 = 3x - 2x

x = 6

We can cross-check.

{(2 x 6 + 9) ÷ 3} - 1 = 6

{(12 + 9) ÷ 3} - 1 = 6

7 - 1 = 6

6 = 6

Thus,

The number was 6.

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Answer:

three-fifths times a number is 15

Step-by-step explanation:

let the unknown number be x

based on the answer above:

3/5 × x = 15

3/5x = 15

Answer: C is the correct answer

Step-by-step explanation:

Answer:

[tex]g =7^{2} -w^{2}[/tex]

Step-by-step explanation:

[tex]w = 7 -\sqrt{g} \\re arrange\\\sqrt{g} = 7-w\\square both side\\\sqrt{g}) ^{2} =(7-w)^{2} \\g = 7^{2} -w^{2}[/tex]

Answer:

17

Step-by-step explanation:

There are a total of 39 students.

students.

The number of students that play football is twice as much as the number of students that play volleyball.

Let the number that plays volleyball be x then the number that plays football will be 2x. This we have

x + 2x = 39

3x = 39

x = 13

The total number that plays volleyball is 13.

The total number that plays football will be 2 x 13 = 26

Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.

Answer:

1) 0

2) -1

Step-by-step explanation:

x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on

Answer:

A. Add the endpoints

C. Divide -12 by 2

Step-by-step explanation:

To find the midpoint of the vertical line segment with endpoints (0, 0) and (0, -12).

Step 1: Add the endpoints (y-coordinates)

0+-12=-12

Step 2: Divide -12 by 2

-12/2=-6

Therefore, the y-coordinate of the midpoint of a vertical line segment is -6.

Options A and C are correct.

Answer: y = -3/2x + 3

Step-by-step explanation:

The slope is -3/2 (down 3, right 2)

The slope goes before x in graph functions so it’s -3/2x

The line goes through 3 on the y-axis (vertical line), so that’s where + 3 comes in.

y = -3/2x + 3

m<TSU=85°

please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:

1) 5.9

2) 8.1

3) 54

Step-by-step explanation:

A is opposite, so we have sine 36=a/10

sine 36(10)=a

a=5.9

B is adjacent, so we have cosine 36=b/10

cosine 36(20)=b

b=8.1

Angles of a triangle add to 180

we have a angle of 36 and a right angle which is 90

36+90=126

180-126=54

Answer:

True

Step-by-step explanation:

Yes! All integers "are" rational numbers. They can be expressed in the form of p/q.

Hope this helps :D

Don't hesitate asking anything regarding this.

Answer:

Yes

Step-by-step explanation:

Rational numbers are numbers that can be written as a fraction.

Integers are 1 2 3 4 5 and even -5 -4 -3 -2 -1, they can all be written as fractions.

Answer:

Area = 110 cm²

Step-by-step explanation:

You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.

1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.

[tex]A = \frac{1}{2} bh\\\\A = \frac{1}{2}8(5.5)\\\\A = \frac{1}{2}44\\\\A = 22[/tex]

2. Multiply this area by 5 to get the area of the entire pentagon.

A = 22(5)

A = 110

The number of adult tickets sold was  30 tickets

The first step is to write out the parameters given in the question;

Adult ticket sold at the concert is at the price of $8

Student tickets sold cost $5

A total of 70 tickets were sold at $440

Therefore the number of adult tickets sold can be calculated as follows;

= 8(5)

= 40

70-40

= 30

Hence the number of adult tickets sold is 30 tickets

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Answer:

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Step-by-step explanation:

v=(  [tex]\frac{1}{3}[/tex] (3.141593))(r2)(2r+h)

Step 1: Flip the equation.

1.047198hr2+2.094395r3=v

Step 2: Add -2.094395r^3 to both sides.

1.047198hr2=−2.094395r3+v

Step 3: Divide both sides by 1.047198r^2.

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Answer:

[tex]h = \frac{3v - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} } [/tex]

Step-by-step explanation:

Step 1 add -2/3Πr^3 to both sides

v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3

Step 2 divide both sides by (Πr^2)/3

(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3

(3v - 2Πr^3)/Πr^2 = h

hope this helps....

please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment..

Answer:

Hope this helps. Good luck

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

Answer:

-6 and 7

Step-by-step explanation:

-6 and 7 multiply to be -42.

When you add the two values: -6+7=1

Their sum is 1!

Hope this helps

Answer:

2, -1

Step-by-step explanation:

The 16 factors of -42 are

1, 2, 3, 6, 7, 14, 21, 42

-1, -2, -3, -6, -7, -14, -21, -42

The pair of factors that have a sum of 1 is

2, -1

2 + (-1)

=1

3, -2 also

7, -6 also.

Answer:

a). 16% of £50

= 16/100 ×50

= 8

= £8

b). 44% of 781g

= 44/100 × 781

= 343.64

= 343.64g

c). 92% of 1050km

= 92/100 × 1050

= 996

= 996km

Hope this helps.

Answer:

Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.

Answer:

See below.

Step-by-step explanation:

She is wrong because  3 times the perimeter  of one triangle is the sum of 9 sides of the triangles.

In the shape  we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape,  - the perimeter is only the length of 5 sides of a triangle.

So the perimeter is less than the sum of the sides of the 3  triangles.

Answer:

The sum after the second year is rs.4752

Step-by-step explanation:

The interesting thing about solving for compound interest problems is understanding that the principal changes every year.

To solve this problem, we will break it into two years and solve for each year, so we can obtain the final sum to be paid at teh end of the second year.

Please note:

P = principal {the original sum invested}

R = rate of interest.

T= time required to pay back

Sum after the First Year:

Interest = [tex]\frac{P \times R \times T}{100}=\frac{4000 \times 8 \times 1}{100}=320[/tex]

Therefore his money after the first year is got by adding the interest of 320 to the initial principal which will givers. 4320.

After the first year, the money that will be used to calculate the new interest paid will be this rs.4320 obtained at the end of the first year.

Sum after the second Year

Interest =[tex]\frac{P \times R \times T}{100}=\frac{4320 \times 10 \times 1}{100}=432[/tex]

Sum = 4320+432 = rs.4752

Hence, the sum after the second year is rs.4752

Answer:

25/8

Step-by-step explanation:

Given That:

R = 8x+4y

X= 8

R = 30.

So, 8 x 8 +4y = 30

Simplify, Rearrange and solve.

64 + 4y = 30

4y = 30/64 = 15/32

y = 15/32 divided by 4

y = 15 / 32 x 1/4

y = 15/(32 x 4) = 15/128

hope this helps

3,750 yearly

Step-by-step explanation:

25000 wolves x 15% yearly =

25000 + 3750 yearly = 28750 1st year account

Answer:

D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Work Shown:

L = (0,1)

N = (6,1)

m = slope of LN

m = (y2-y1)/(x2-x1) is the slope formula

m = (1-1)/(6-0)

m = 0/6

m = 0

Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)

Answer:  17.8 yds

Step-by-step explanation:

The length of the arc of the ENTIRE circle is the circumference (C = 2πr).

We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.

The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given r = 17, θ = 60°

[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]

Answer:

[tex]6x^2-3x[/tex]

Step-by-step explanation:

[tex]3x(2x-1)[/tex]

[tex]3x(2x)+3x(-1)[/tex]

[tex]6x^2+-3x[/tex]

After apply distributive property, required solution is,

⇒ 6x² - 3x

We have tp given that,

An expression to simplify,

⇒ 3x (2x - 1)

We can simplify it by distributive property,

⇒ 3x (2x - 1)

⇒ 3x × 2x - 3x × 1

⇒ 6x² - 3x

Therefore, The required solution is,

⇒ 6x² - 3x

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Answer:

X=67.5

Step-by-step explanation:

360-90=270

Then I do

270/4=67.5 to find the answer of each X

(4 is how many X is in the 270 degree)  

Answer:

B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes, M is the midpoint of AB.

The length of the whole line AB is 44. So, if any midpoint is drawn on it, The two parts of the line will be equal and half of the total lines measure.

Whole line's measure = AB = 44

If any Midpoint say "M" is drawn on it, the measures of divided line would be halved.

AM = BM = 44/2 = 22