6r +9r - 2r - 13n combine like terms.

Answer:

D. a rectangle

Step-by-step explanation:

Answer:

194.06

Step-by-step explanation:

£313 decreased by 62% is £118.94

In order to determine the answer, the first step to take is to determine the value of 62% of £313.

Value of 62% = 62% x £313

0.62 x £313 = £194.06

The second step is to subtract the value of 62% of £313 from £313

£313 - £194.06 = £118.94

In order to decrease £313 by 62%, the first step is to determine the value of 62% of £313 and then subtract the value gotten from the previous step from £313.

A similar answer was solved here: https://brainly.com/question/18837466?referrer=searchResults

Answer:

A and c are similar except C is bigger than as so the scaling has gotten higher, so the answer is D

Step-by-step explanation:

Answer: (x - 2)^2 + (y - 15)^2 = 13^2

Step-by-step explanation:

We know that the general equation for a circle is:

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

Where:

(a, b) is the center of the circle

R is the radius of the circle.

First, we know that the center of the circle is the point P, (2, 15)

Now, we also know that point M, (7, 3), is located at the circle.

Then we know that the radius of the circle will be equal to the distance between point P and point M.

Remember that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then in our case, we have:

Distance = √( (2 - 7)^2 + (15 - 3)^2) = √(25 + 144) = 13

This means that the radius of the circle is R = 13.

Now we know the radius of the circle and the center of the circle, then we can write the equation of the circle as:

(x - 2)^2 + (y - 15)^2 = 13^2

Answer: 1. x= 20 units,   2. x= [tex]5\sqrt{3}[/tex] units    3. x= [tex]4\sqrt{2}[/tex] units.

Step-by-step explanation:

In a right triangle,

[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex]  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]

Answer:

is there a picture to go with the problem?

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

Answer:

10

Step-by-step explanation:

If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm

The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.

Hence,

Hypotenus = sqrt (opposite² + adjacent²)

AX = sqrt[(8²) + (6²)]

AX = sqrt(64 + 36)

AX = sqrt(100)

AX = 10

Answer:

x=-1/6

I luv u

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

Answer:

hmmm this is too hard for me.

Step-by-step explanation:

Answer:

Le answer tis 4 UwU

Step-by-step explanation: G'day mate!

P.S- Brainlest plzz??

Answer:

5

Step-by-step explanation:

e

the answer in the picture

Answer:

[tex]z = \frac{q}{2} [/tex]

Step-by-step explanation:

[tex]z \infty q[/tex]

[tex]z = kq[/tex]

[tex]z = 2 \: and \: q = 1[/tex]

[tex]2 = k1[/tex]

[tex]k = \frac{2}{1} [/tex]

[tex]z = \frac{1}{2} q[/tex]

[tex]z = \frac{q}{2} [/tex]

9514 1404 393

Answer:

  z = 2q

Step-by-step explanation:

The formula for direct variation is ...

  z = kq . . . . . k is the constant of proportionality

We can find k using the given values of z and q:

  k = z/q = 2/1 = 2

Then the equation connecting z and q is ...

  z = 2q

Answer:

no

Step-by-step explanation:

Answer:

She originally bought either 20 or 32 shares

Step-by-step explanation:

An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?

Let the number of shares she bought be represented by 1600/x

This is calculated as:

1600/x  = 1120/x + 10  + 4

Multiply through by (x)(x - 10)

1600(x-10) = 1120(x) + 4(x)(x - 10)

1600x - 16000 = 1120x + 4x² - 40x

Collect like terms

4x² + 1120x - 1600x - 40x +16000 = 0

4x² - 520x + 16000 = 0

Using the Almighty formula method

= -b ± √b²- 4ac/2a

a = 4, b = -520 , c = 16,000

Hence:

= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4

= 520 ± √14400/8

= 520 ± 120/8

520 - 120/8

= 400/8

= 50

520 ± 120/8

= 520 + 120/8

= 640/8

= 80

Since we have:

1600/x

When x = 50

= 1600/50

= 32

When x = 80

= 1600/80

= 20

Therefore, she originally bought either 20 or 32 shares

Since  

3

x

2

a

,

3

x

a

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

3

x

2

a

,

3

x

a

2

:

1. Find the GCF for the numerical part  

3

,

3

2. Find the GCF for the variable part  

x

2

,

a

1

,

x

1

,

a

2

3. Multiply the values together

Find the common factors for the numerical part:

3

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

List all the factors for  

3

,

3

to find the common factors.

3

:  

1

,

3

3

:  

1

,

3

The common factors for  

3

,

3

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

x

2

,

a

,

x

,

a

2

The factors for  

x

2

are  

x

⋅

x

.

x

⋅

x

The factor for  

a

1

is  

a

itself.

a

The factor for  

x

1

is  

x

itself.

x

The factors for  

a

2

are  

a

⋅

a

.

a

⋅

a

List all the factors for  

x

2

,

a

1

,

x

1

,

a

2

to find the common factors.

x

2

=

x

⋅

x

a

1

=

a

x

1

=

x

a

2

=

a

⋅

a

The common factors for the variables  

x

2

,

a

1

,

x

1

,

a

2

are  

x

⋅

a

.

x

⋅

a

The GCF for the variable part is  

x

a

.

GCF

Variable

=

x

a

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

x

a

.

3

x

a

Answer: 3xa

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor

Answer: 9:4

Step-by-step explanation:

I think

Answer:

The value of a is 63° and the value of b is 27°

Step-by-step explanation:

In the given figure

∵ OA, OB, and OC are radii of the circle O

→ The radii of a circle are equal

∴ OA = OB = OC

In Δ AOC

∵ OA = OC

∴ Δ AOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OAC and ∠OCA are the base angles of the triangle

∴ m∠OAC = m∠OCA

∵ m∠OAC = a°

∴ m∠OCA = a°

→ The sum of angles in any triangle is 180°

∵ a° + a° + m∠AOC = 180°

∵ m∠AOC = 54°

∴ a° + a° + 54 = 180°

→ Add the like terms

∴ 2a° + 54 = 180°

→ Subtract 54 from both sides

∴ 2a° = 126°

→ Divide both sides by 2

∵ m∠OAC = m∠OCA = 126 ÷ 2

∴ a° = 63

∴ The value of a is 63°

In ΔBOC

∵ OB = OC

∴ Δ BOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OBC and ∠OCB are the base angles of the triangle

∴ m∠OBC = m∠OCB

∵ m∠OBC = b°

∴ m∠OCB = b°

∵ ∠AOC is an exterior angle of ΔBOC at the vertex O

→ The measure of the exterior angle equals the sum of the measure

    of the opposite interior angles to this vertex

∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC

∴ m∠OBC + m∠OCB = m∠AOC

→ Substitute their measures

∵ b° + b° = 54°

→ Add the like terms

∴ 2b° = 54

→ Divide both sides by 2

∴ b° = 27

∴ The value of b is 27°

Answer:

41 minutes

Step-by-step explanation:

Step one:

given data

Susan purchased a prepaid phone card for $15

let the number of minutes be x

and let the total be y

per minute call cost = 14 cents = $0.14 per minute

Hence the expression for the situation is given as

y= 15-0.14x

Step two:

given that the balance after a call is 9.26

9.26=15-0.14x

solve for x

9.26-15= -0.14x

5.74=0.14x

divide both sides by 0.14

x=5.74/0.14

x=41 minutes

Answer:

Sales tax : $27

Total price : $477

Step-by-step explanation:

Given that:

Sale price of tv = $450

Sales tax = 6%

Amount of sales tax = [tex]\frac{6}{100}*450[/tex]

Amount of sales tax = 0.06 * 450

Amount of sales tax = $27

Total price = Sale price + Sales tax

Total price = 450 + 27 = $477

Hence,

Sales tax : $27

Total price : $477

Answer:

The answer is B. 26 miles per hour.

Step-by-step explanation:

13+13=26

X goes by an hour.

Answer:

a.) not like terms

b.) not like terms

c.) like terms ; 14 yards

Step-by-step explanation:

Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

Hope that helps

Have a good day :)

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d