Ms. Johnson bought an area rug for her den. The perimeter is 30 feet. The width of the rug is
2yards What is the area of Ms. Johnson's rug in square feet and square yards?
in both feet and yards.

Answer:

F=first side; S=second side=3F; T=third side=2.5F

.

F+S+T=60ft

F+3F+2.5F=60ft

6.5F=60ft

F=9.23ft

S=3F=3(9.23ft)=27.69ft.

T=2.5F=2.5(9.23)=23.08ft

.

ANSWER First side=9.23ft; Second side=27.69ft; Third side=23.08ft

Step-by-step explanation:

Answer:

length = 13 inches

Step-by-step explanation:

let the length be x

hence, the width = x-9

perimeter = 2(x+x-9) = 34

2(2x-9) = 34

4x- 18 = 34

4x = 52

x = 13

Answer:

12 Points

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

f(x) = 2x - 3,

f(4) = 2(4) - 3,

f(4) = 5

g(x) = 2x^2 + 5x + 1,

g(1) = 2(1)^2 + 5(1) + 1,

g(1) = 2 + 5 + 1,

g(1) = 8

f(4) + g(1) =

5 + 8 =

13

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

[tex]{ \underline{ \sf{6y = x + 1 }}}[/tex]

Step-by-step explanation:

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

m is slope

c is y intercept.

at x-intercept, y = 0

[tex]0 =( \frac{1}{6} \times - 1 )+ c \\ \\ c = \frac{1}{6} [/tex]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is 6y=x+1.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given that the slope of the equation of the line is 1/6, while the x-intercept is at -1. Therefore, if we substitute the coordinate of the intercept and the slope in the equation in the general equation of the line. We will see,

y = mx + c

0 = (1/6)(-1) + c

0 = -1/6 + c

c = 1/6

Now, the equation of the line can be written as,

y = (1/6)x + (1/6)

y = (x/6) + (1/6)

y = (x+1)/6

6y = x + 1

Hence, the equation of the given line is 6y=x+1.

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Answer:

It's y< -3/2x -2

Step-by-step explanation:

put each answer choice into desmos and match the graphs.

Answer:

2x + 3y = -21

Step-by-step explanation:

Parallel lines have same slope.

2x + 3y = -21

      3y = - 2x - 21

y = [tex]y = \dfrac{-2}{3}x-\dfrac{21}{3}\\\\y=\dfrac{-2}{3}x-7[/tex]

Answer:

b - a

Step-by-step explanation:

Given M and N are midpoints, let's find the coordinates of the midpoints first. Then we can use that information to find the length

The midpoint formula is

( (x1 + x2)/2, (y1 + y2) / 2 )

So M = ( (2a + 2c)/2, (0 + 2d)/2 ) = (a + c, d)

And N = ( (2c + 2b)/2, (2d + 0)/2 ) = (c + b, d)

Because the y-coordinates are the same (d), the distance from M to N is,

final x-coordinate minus initial x-coordinate

x-coordinate of N minus x-coordinate of M

(c + b) - (a + c)

Distribute the negative and remove the parentheses

c + b - a - c

Group the cs together

c - c + b - a

Cancel out the cs

b - a

C.-3/4................

Answer:

91 short stories

Step-by-step explanation:

You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and  then stopped afterwards.

Answer:

total area = 99m² + 39.4m²

= 138.4m²

Answer:

see below

Step-by-step explanation:

for 1)

angle y = 180 - 110 = 70 degrees

angle z = angle y = 70 degrees

angle x = 89 degrees

for 2)

angle 1 = 180 - 85 = 95 degrees

angle 2= 180 - 95 - 85 degrees

angle 3 = 180-95 = 85 degrees

for 3)

m angle 3 = 25 degrees, same as m angle 1

Answer:

please mark me brainliest

Step-by-step explanation:

thousandth

The place Value of 2 is Thousand (1000)

Answer:

14/100

Step-by-step explanation:

14/100

=7/50

14% is equal to 7/50

Answer:

3/4 of the ribbon is needed to make a bow

Step-by-step explanation:

12 ÷ 4 = 3

so out of that foot of ribbon you use 3/4 of it for the bow

Answer:

x = 4, y = 3

Step-by-step explanation:

Equating corresponding coordinates , gives

2x = 8 ( divide both sides by 2 )

x = 4

and

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

~Simplify

-6x + 8 - x - 3

-7x + 5 = 33

~Subtract 3 to both sides

-7x = 28

~Divide -7 to both sides

x = -4

Best of Luck!

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

solve the brackets first

-6x + 8 -x -3 = 33

-6x - x + 8 - 3 = 33

-7x + 5 = 33

-7x = 33-5

-7x = 28

x = 28/ -7

x = -4

Answer:

i think its 5 i think i dont know havent done this since 6th grade

Answer:

Step-by-step explanation:

17*4=68

68-18=50

50-15=35

35-16=19

19

Answer:

Step-by-step explanation:

It's D.

A theorem is true by some sort of mathematical logic.

It is not a definition. Not C

It is not in the end true because of inductive reasoning (a theorem may lend itself to inductive reasoning, but it must be proved.) Not A

It certainly not assumed to be true without proof. Not B

Answer:

buy for $20 and sell for $40

is 100% mark-up

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

n = pattern number

9n - 1 = number of tiles

Number 5 = 9n - 1

= 5 x 9 - 1

= 45 - 1

= 44

The pattern will have 54 tiles after the fifth day

To determine the pattern, let's find the difference between the number of tiles on consecutive days:

Difference between Day 2 and Day 1: 8 tiles - 0 tiles = 8 tiles

Difference between Day 3 and Day 2: 20 tiles - 8 tiles = 12 tiles

Difference between Day 4 and Day 3: 35 tiles - 20 tiles = 15 tiles

Notice that the difference between the number of tiles on consecutive days is increasing by 4 each time (8, 12, 15).

Now, let's use this difference to find the number of tiles after the fifth day:

Difference between Day 5 and Day 4: 15 tiles + 4 tiles = 19 tiles

Number of tiles after the fourth day: 35 tiles

Number of tiles after the fifth day: 35 tiles + 19 tiles = 54 tiles

So, the pattern will have 54 tiles after the fifth day.

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Answer: Use main properties of powers

to simplify given equation.

1.

2.

3. Then the equation is

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

Step-by-step explanation:

Answer:

40/31

Step-by-step explanation:

4x = (1/8)x + 5

=> 4x - 5 = (1/8)x

=> 8(4x-5) = x

=> 32x - 40 = x

=> 32x - x = 40

=> 31x = 40

=> x = 40/31

Answer:

Yes it is

Step-by-step explanation:

when you add up all parts of a triangle they are equal to 180

Answer:

yes

Step-by-step explanation:

the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)