Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide.
a. She wants to know how many square feet of sod she will need to completely cover the yard. Draw the yard, and label the measurements.
b. How much sod will Heather need to cover the yard?
c. If each square foot of sod costs 65 cents, how much will she have to pay to cover her yard?

Answer:

x = 2

Step-by-step explanation:

The parallel lines divide the transversals into proportional segments, that is

[tex]\frac{x+4}{13.5}[/tex] = [tex]\frac{4}{9}[/tex] ( cross- multiply )

9(x + 4) = 54 ( divide both sides by 9 )

x + 4 = 6 ( subtract 4 from both sides )

x = 2

Answer:

Step-by-step explanation:

The function C has the greatest initial value, and the function B has the greatest rate of change

A linear function is a function whose value changes at a constant rate.

A linear function is represented as:

[tex]y = mx + c[/tex]

Where

The initial value of function A is 0.

This is so because y = 0, when x = 0

The initial value of function B is -1

This is so because the value of function y = 3x - 1 is -1, when x = 0

From the graph, the initial value of function C is 2

Hence, the function C has the greatest initial value

Rate of change is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, the rate of change of function A is calculated as follows:

[tex]m = \frac{5 - 0}{2-0}[/tex]

[tex]m = \frac{5 }{2}[/tex]

[tex]m = 2.5[/tex]

The rate of change of function A is 2.5

The rate of change of function B is 3.

The rate of change of function C is calculated as follows:

[tex]m = \frac{3 - 2}{3-0}[/tex]

[tex]m = \frac{1}{3}[/tex]

The rate of change of function C is 1/3

Hence, the function B has the greatest rate of change

Read more about linear functions at:

https://brainly.com/question/14323743

Answer:

No, it's not possible

Step-by-step explanation:

A triangle must equal 180 degrees. 40+60+90 is 190, which is over 180.

Answer:

5/8

Step-by-step explanation:

since it says she has THREE children she gave each children a fraction of it which would be 1/8 each and in total of that would be 3/8 so she will have 5/8 left.

Hope that helped =）

Answer:

[tex]\frac{45}{100}\\\\ \frac{9}{10}[/tex]

[tex]\frac{10}{100} = 10%[/tex]

Step-by-step explanation:

125 % can be expressed as decimal as

[tex]\frac{125}{100} \\\frac{25}{20} \\\frac{5}{4}[/tex]

Rule in changing Percent to decimal

a) Divide a percent by 100

b) Remove percent sign

example

30%

= 3/10

45 %

[tex]\frac{45}{100}\\\\ \frac{9}{10}[/tex]

[tex]\frac{10}{100} = 10%[/tex]

Answer:

two unequal, complex roots

Step-by-step explanation:

Rewrite this quadratic as a^2 + 3a - 7 = 0.  The coefficients are {1, 3, -7}.  The discriminant is b^2 - 4ac = 3^2 - 4(1)(-7), or 9 - 28, or -19.

Because the discriminant is negative, we know immediately that this quadratic has two unequal, complex roots.

Answer:

-07428571428 yan na ang agot

Hi there!

So what we need to do here is this...

Multiply -3/4  with there own parentheses and multiply 2 with it’s own parentthese also.

[tex]- \frac{3}{4} x 5p = 3 \frac{3}{4} p[/tex]

[tex]-\frac{3}{4} x 12 = 9[/tex]

Then do the second parenthese...

[tex]2x8=16[/tex]

[tex]2x - \frac{1}{4} = \frac{1}{2}p[/tex]

Add them like this...

[tex]( 3 \frac{3}{4}p + 9 ) + ( 16 -\frac{1}{2}p )[/tex]

Simplflied it again.../ since 3 3/4 and 1/2 both have p, add them...

[tex]3 \frac{3}{4} + - \frac{1}{2}p=3 \frac{1}{4}p[/tex]

Add the rest:

[tex]3 \frac{1}{4}p+9+16[/tex]

Answer:

y=x-2

Step-by-step explanation:

You have to move the Y to one side and  get the X and the 2 on the other side.  

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  A'(-2, -1), B'(-1, 3), C'(-3, -5), D'(1, 2)

Step-by-step explanation:

Rotation 270° CCW about the origin is accomplished by the transformation ...

  (x, y) ⇒ (y, -x)

The rotated point coordinates are shown above and on the graph below.

Answer: 62.4

Step-by-step explanation:

6 times 5.20 times 1/2 = 15.6

15.6 times 4 = 62.4

Answer:

Step-by-step explanation:

y = x^2 + 8x + 15

= x^2 + 8x + 4^2 - 4^2 + 15

= (x+4)^2-1

Answer:

(−4, −1)

vertex, axis of symmetry, and y-intercept: y = (x + 4)² −1

Step-by-step explanation:

Image below shows you the graph

Brainliest Pls

Answer:

it is 4.00 for 10

Step-by-step explanation:

because it is 40 cents for 1 bar so 40 plus 40 is 80 so minus 80 cents is 4.00 dollars

Step-by-step explanation:

The answer is put x=2

Y=2

Answer:

−7y(4x−5)

Step-by-step explanation:

ive already calculated it thanks

Answer:

D. −7y(4x−5)

CREDIT GOES TO THIS GUY THEY SAID THE ASWER FIRST⬆️

Answer:

x = 39

Step-by-step explanation:

∠JKL and ∠LKM are complementary angles meaning they have a sum of 90° Knowing this, we can create an equation to solve for x.

2x - 14 + 26 = 90

2x + 12 = 90

2x = 78

x = 39

Answer:

Measure of angle s:

Sum all angles of triangle is = 180 degrees

So,

31 + 58 + x = 180

x = 180 - 31 - 58

x  = 91

Measure of angle s: 91 degrees

ST = 17.005

RT = 33.012

Hope this helps you. Do mark me as brainlist.

Answer:

sixty percent of 30 is 200

Answer:

a)2

b)4

c)6

Step-by-step explanation:

Answer:

thats a tricky one.

Step-by-step explanation:

Answer:

b

plz give brainliest

Step-by-step explanation:

Answer:

18x + 91

Step-by-step explanation:

Answer:

I believe it will be 118

Step-by-step explanation:

Hope this helps.

Answer:

c. 12

Step-by-step explanation:

To isolate the variable, you need to cancel out whatever's on the same side of the variable by using the inverse of the operation.

Hope this helps!! Have an awesome day φ(*^0^)

Answer:

34 ounces

Step-by-step explanation:

Here is the full question

Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle?

Let b = total ounces in the bottle

the equation that can be derived from this question is :

0.2 x b = 6.8

To find b, divide both sides by 0.2

b = 6.8 / 0.2 = 34 ounces