wing
You find that the number of
messages you recelve on your
message board varies directly as
the number of messages you post.
When you post 5 messages, you
receive 12 messages in return.
Find the number of messages you
need to post to receive 96
messages.

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

Answer:

324 cm²

Step-by-step explanation:

→ Work out perimeter of square

72 + 72 + 72 + 72 = 288

→ Work out the width of the rectangle

288 - (90 × 2) = 108

108 ÷ 2 = 54

→ Work out area of square

72 × 72 = 5184 cm²

→ Work out area of rectangle

90 × 54 = 4860 cm²

→ Minus the areas from each other

5184 cm² - 4860 cm² = 324 cm²

Answer:

C) 324cm²

Step-by-step explanation:

1) they have the same perimeter so to find it you add all four sides of the square because they are all the same ( 72+72+72+72=288)

2) now you multiply 90 by 2 because the rectanglehas to sides of the same length(90×2=180) the answer you get you are going to subtract to 288 (288-180=108)

3) now divide 108 by 2 (108÷2= 54) the answer you get equals the width of the side of the rectangle

4) to get the area of the rectangle you multiply 54 with 90 (54×90=4,860) to get the area of the square you multiply 72 times 72 (72×72=5,184)

5) now you subtract 5,184 and 4,860 ( 5,184-4,860= 324cm²)

Answer:

m=2

Step-by-step explanation:

Answer:he has a 44% free throw rate

Step-by-step explanation:

a) 1:3

b) 1:3

c) 1:3

d) 1:3

e) 2:3

f) 2:3

g) 3:4

h) 31:42

Step-by-step explanation:

3:9=1:3

12:36=1:3

13:39=1:3

71:213=1:3

142:213=2:3

38:57=2:3

33:44=3:4

the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.

Answer:

good choice in vehicle!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

2.

3.

Answer:

The answer is 59.5

Answer:

the second one or B

$0.15+$40.00=$58.00

it is this because the number of mins is .15 cent each min

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

Answer:

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Step-by-step explanation:

Even if I don't know the options I can give all the option that will be right for expending this. Just look at each step and see which one is one of the options.

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Answer:

Answer:

The function describes the motorboat's distance from the shore  

Step-by-step explanation:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, rate of change =  

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+c

Where m is the slope and c is the constant

Substitute the values in the equation :

y=-4x+50

Where y is the final distance and x is the minutes

So, Option C is true

Hence The function describes the motorboat's distance from the shore

Step-by-step explanation:

Answer:

19200

brainliest if correct

Explanation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

Answer:

a = 4

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

hypotenuse = a

opposite = 2√3

adjacent = b

theta = 60°

the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a

[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]

[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]

[tex]4 = a[/tex]

[tex]a = 4[/tex]

Answer:

2

Step-by-step explanation:

5 and 7 are the coefficients if you need them

Answer:

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Step-by-step explanation:

Given the expression

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Solving for 'm'

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Flip the equation

[tex]\frac{k}{2}\left(m+n\right)=A[/tex]

Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]

Add (-1)/2 × kn to both sides

[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]

simplify

[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]

Divide both sides by k/2

[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]

[tex]m=\frac{2A-kn}{k}[/tex]

Therefore,

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Answer:

[tex]\dfrac{6x+2}5}[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}[/tex]

We need to write the equivalent expression for the above expression.

Taking like terms together,

[tex]=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}[/tex]

So, the equivalent expression is [tex]\dfrac{6x+2}5}[/tex].

Answer:

b

Step-by-step explanation:

Answer:

4 miles west

Step-by-step explanation:

Answer:

3/29

Step-by-step explanation:

Step-by-step explanation:

ahsjsjsjajajajjahajaiaiaijzjsbwbw

Answer:

ab = -2 * 3 = -6

Step-by-step explanation:

Answer:

c.positive

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Because u have a 1/6 chance of getting any of the numbers

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.