c. When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape.
(The carpenter's tape measure does not display inches).
i. Write an expression to determine the length of the room in yards.
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ii. Write an expression to determine the length of the room in units of 3 feet (yards).
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iii. Write an expression to determine how many times as long the room is than 3 feet.
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Answer:

10%

Step-by-step explanation:

495-450=45

45x100/450=10

Answer:

Profit made by reselling = 495 - 450 = ₹45

So, percentage =

[tex] \frac{45}{450} \times 100 = 10\%[/tex]

So, gain percentage is 10%

[tex]\begin{array}{l}\text{We\ have\ } \alpha +\beta =180\ \text{and} \ \beta =\alpha +52\text{\ then}\\\\\alpha +\alpha +52=180\\\\\Longrightarrow 2\alpha =180-52\\\\\Longrightarrow \alpha =\frac{128}{2} =64\\\\\therefore \beta =64+52=116\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 116\ degrees}}\end{array}[/tex]

Answer:

Total Number of times Spun = 1200

Key sentence: "Pr(Red) is same as Pr(Yellow).

Pr(Green)= 0.2

0.2 = x/1200

x= 0.2 x 1200

x = 240.

It landed on green 240 times

Pr(Brown) =0.54

0.54 = y/1200

y= 1200 x 0.54

y= 648.

Now

To get the Number of times it landed on Red and Yellow

You simply subtract that of Green and Brown from 1200 and divide this result by 2(Since Red and Yellow are have equal occurrence).

1200 – (648 + 240)

= 312.

312/2 = 156.

So It landed on Red and Yellow 156 times each.

Step-by-step explanation:

Red ----- 156times

Green -----240times

Brown ----- 648times

Yellow -----156times

Step-by-step explanation:

-2m-39=0

-2m=0+39

-m= 39/2

m= -19.5

Answer:

[tex]7m - 4 - 9m - 35 = 0 \\ 7m - 9m = 35 + 4 \\ - 2m = 39 \\ 2m = - 39 \\ m = \frac{( - 39)}{2} \\ \boxed{m = - 19.5}[/tex]

Answer:

1636mi/hr

Step-by-step explanation:

2400ft/s = _______mi/hr                   1 hr = 3600s          1mi = 5280ft

2400ft/s   x   3600s/hr   x   1mi/5280ft = 1636mi/hr

9514 1404 393

Answer:

Step-by-step explanation:

The tangent function is periodic with a period of 180°. So ...

  tan(205°) = tan(25°) = a

__

The identity relating sine and tangent is ...

  sin(x) = tan(x)/√(tan²(x)+1)

Rationalizing the denominator gives ...

  sin(x) = tan(x)√(tan²(x)+1)/(tan²(x)+1)

  sin(25°) = a√(a²+1)/(a²+1)

__

  cos(65°) = sin(25°) = a√(a²+1)/(a²+1)

__

  cos(245°) = -sin(25°) = -a√(a²+1)/(a²+1)

Answer:

The answer is c = 2 + 3d .

Step-by-step explanation:

It is given that a cab ride cost $2 which is a fixed amount and charges additional $3 per mile. So you have to make an equation of c in terms of d :

Let c be the cost,

Let d be the distance,

c = 2 + 3d

Answer:

⚪ (4 • 3) + (4 • 8)

Step-by-step explanation:

[tex]4•(3 + 8)[/tex]

by distributing 4 in the bracket:

[tex] = \{(4•3) + (4•8) \}[/tex]

Answer:

what is statistics ???

explain !!!

Step-by-step explanation:

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Probability is a mathematical language used to discuss uncertain events and probability plays a key role in statistics.Please mark me as brainliest

Answer:

1-1=0

1*0=0

I dont know if I'm right

Step-by-step explanation:

the domain is the interval of the x (input) values.

in other words, is g(x) invalid for certain x ?

it does not look like it. it looks like g(x) is valid for every possible value of x from -infinite to +infinite.

the range is the interval of possible y (functional) values.

and that is clearly valid for every y between -1 and +infinity.

Answer:

reflection

Step-by-step explanation:

a.reflection

Answer:

X= 30

y= 10

Step-by-step explanation:

(2x+90)=5x ( Opposite angles)

2x+90=5x

5x-2x= 90

3x=90

x=90/3

x= 30°

5x =5(30)=150

2x+90=2(30)+90=60+90=150

3y+150=180

3y=180-150

3y=30

y=30/3

y=10

I hope I helped you^_^

Answer:

Step-by-step explanation:

Step-by-step explanation:

We are going to use the following properties of logarithms to solve this problem:

[tex]\log{\dfrac{a}{b}} = \log{a} - \log{b}[/tex]

and

[tex]\log{ab} = \log{a} + \log{b}[/tex]

So we can rewrite the given equation as

[tex]\log{2x^3} - \log{x} = \log{\left(\dfrac{2x^3}{x}\right)} = \log{2x^2}[/tex]

Also,

[tex]\log{16} + \log{x} = \log{(16x)}[/tex]

So we can write

[tex]\log{2x^2} = \log{(16x)}[/tex]

or eliminating the log symbols, we get

[tex]2x^2 = 16x[/tex]

The solutions for the equation above are

[tex]x = 8\:\text{and}\: 0[/tex]

Answer:

x < 7

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

5x+7<42

Step 2: Subtract 7 from both sides.

5x+7−7<42−7

5x<35

Step 3: Divide both sides by 5.

x<7

For the graph, draw an open circle at 7 and an arrow pointing left.

Hope this helps! :D

Step-by-step explanation:

5x<42-7

5x<35

5x/5<35/5

x<7

Step-by-step explanation:

17 nickels and 5 quarters I just thought way to much for such a simple question

Answer:

C

Step-by-step explanation:

They are complementary which means they add to 90. I take it that the c is a typo and you meant x

6x + 3 + 4x + 7 = 90                  Combine like terms.

10x + 10 = 90                             Subtract 10 from both sides

10x = 90 - 10

10x = 80                                    Divide by 20

x = 80/10

x = 8

Answer:

30

Step-by-step explanation:

AC = AB + BC

48 = 2x + 2 + 3x + 6

48 = 5x + 8

48 - 8 = 5x

40 = 5x

40/5 = x

8 = x

Finding BC

BC = 3x + 6

BC = 3(8) + 6

BC = 24 + 6

BC = 30

#2

Coordinate = -3 + 8 = 5

Answer:

Step-by-step explanation:

We know that adding AB and BC will give us AC so we can create an equation and solve for x.

2x + 2 + 3x + 6 = 48

~Combine like terms

5x + 8 = 48

~Subtract 8 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Now that we know the value of x, we can solve for BC.

= 3(8) + 6

= 24 + 6

= 30

I would assume 8 is the length of EG so we would add that value to -3 and find where that would be at on the number.

-3 + 8 = 5

Best of Luck!

Answer:

Total: 1060 Gain: 60

Step-by-step explanation:

1000 (Current Amount) x 0.03 (3% as a decimal) x 2 (year amount) = 60 + 1000 (Original Amount Invested) = 1060

9514 1404 393

Answer:

  3

Step-by-step explanation:

This is basically a calculator problem, though you can do it in your head. Follow the order of operations.

  [tex]\dfrac{\sqrt{144}}{\sqrt[5]{243}}-5+16\div\sqrt[3]{64}=\dfrac{12}{3}-5+\dfrac{16}{4}\\\\=4-5+4=\boxed{3}[/tex]

Answer:

3

Step-by-step explanation:

(√144/ ^5√243/) - 5 + 16 ÷ (³√64) =

12/3 -5 +16÷ 4 =

4 - 5 + 16 ÷ 4 =

-1 + 4 =

3

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

1 corn equals 700-800 the yellow tiny thing.

so, lets just assume it has 700,

therefore, 700 - 6 = 694

694 + 1 = 695.

or 700 + 1 = 701.

or perhaps

800 - 6 = 794

794 + 1 = 795

or 800 + 1 = 801

but then again it depends on how much the yellow tiny thing is on the corn. bc, it could be 705, 807, or even 900, who knows.

Answer:

Not a function

Since x= produces y- -1 and y=-4, the relation (3,-1),(2,5),(4,-6),(3,4),(5,-8) is not a function.

Step-by-step explanation:

[tex]A(2)=A(2-1)+6=A(1)+6=12+6=18[/tex]