Can some some help me with this one?

[tex]\\ \sf\longmapsto 16-2r=3r+6r+1[/tex]

[tex]\\ \sf\longmapsto 16-2r=9r+1[/tex]

[tex]\\ \sf\longmapsto 16-1=9r+2r[/tex]

[tex]\\ \sf\longmapsto 11r=15[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{15}{11}[/tex]

Answer: r = 15/11

Step-by-step explanation:

Given

16 - 2r = 3r + 6r + 1

Combine like terms

16 - 2r = 9r + 1

Add 2r on both sides

16 - 2r + 2r = 9r + 1 + 2r

16 = 11r + 1

Subtract 1 on both sides

16 - 1 = 11r + 1 - 1

15 = 11r

Divide 11 on both sides

15 / 11 = 11r / 11

[tex]\boxed{r=\frac{15}{11} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer: 1/6

Step-by-step explanation:

Probability of getting heads = 50/100

= 1/2

Probability of tossing a 3 or 5 = 2/6

= 1/3

Now probability of getting both = 1/2×1/3

= 1/6

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Answer:

1/6

Step-by-step explanation:

There are two possible outcomes for tossing a coin

heads and tails

P(heads)= heads/ total = 1/2

Rolling a die has 6 possible outcomes 1,2,3,4,5,6

P*3 or 5) = 3 or 5 /total = 2/6 = 1/3

Multiply the probability of independent events together

1/2 * 1/3 = 1/6

(Answer:

P(Bl or Yl) = 45%

(Pk on 2nd draw) = 18%

Step-by-step explanation:

There are a total of 20 marbles (3 + 4 + 5 + 8) in the bag. Since each marble is replaced once drawn, there is no change in the total count from one draw to another (unconditional probability).

So

P(Bl or Yl) = (5 + 4)/20 = 9/20 = .45 = 45%

Then

P(Pk on 2nd draw) = P(1st draw) * P(2nd draw)

     = 9/20 * 8/20 = 72/400 = 9/50 = .18 = 18%

Answer:

⅗hrs

Step-by-step explanation:

1hr =60 min

? = 36 min

cross-multiply .........

36 min × 1hr/60 min= 36min/60min × 1hr

=36/60 × 1 hr

= ⅗hrs

Answer:  Rs 137.70

============================================================

Explanation:

6 months = 1/2 year = 0.5 year

1 year, 6 months = 1 yr + 0.5 yr = 1.5 years

Sunayana borrows Rs 12,500 at 12% annual interest for 1.5 years

The amount simple interest she must pay back is

i = p*r*t

i = 12500*0.12*1.5

i = 2,250

The amount of simple interest she must pay back is Rs 2,250 which is on top of the principal Rs 12,500

The total amount she must pay back is p+i = 12,500+2,250 = 14,750

Let x = 14,750 so we can use it later.

--------------

She lends that Rs 12,500 to her friend and this amount is compounded half yearly, aka semiannually. So we'll use n = 2.

The amount Bishwant must pay back to her is

A = p*(1+r/n)^(n*t)

A = 12500*(1+0.12/2)^(2*1.5)

A = 14,887.70

Let y = 14,887.70 so we can use it later.

--------------

Subtract the values of y and x to get the profit she makes

profit = revenue - costs

profit = y - x

profit = 14,887.70 - 14,750

profit = 137.70

The profit is Rs 137.70

Answer:

30

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Let the each leg be x so,

√(x²+x²)=√98

or, √(2x²)=√98

or, x√2=7√2

or, x=7

Answer:

15 feets 2 inches

Step-by-step explanation:

Given the widths :

1st dresser = 5 feets 5 inches

2nd dresser = 5 feets 10 inches

3rd dresser = 3 feets 11 inches

Their combined width is :

5ft + 5ft + 3 ft + 5in + 10in + 11in

13 feets 26 inches

Recall :

1 foot = 12 inches

26 inches = 26/12 feets = 2 feets 2 inches

Hence,

13 feets + 2feets 2 inches

Combined width = 15 feets 2 inches

Answer:

since each side of a square is the same it can simply be the length of one side squared. if a square has one side of 4 inches ,the area would be 4 inches times 4 inches,or 16 square inches

Answer:

b=x+1

Step-by-step explanation:

The equation is:

[tex]2x^2}+x-1=\frac{1}{2} b(4x-2)[/tex]

Isolate b by subtracting and dividing.

You end up with b= x+1

So you pretty much have all you need. 1/3 represents slope, and slope is m. Initial value would be your y intercept which is b.

y=1/3x-3

Answer:

y = x/3 - 3

Step-by-step explanation:

x/3 is the equivalent of 1/3(x)

if this value 35% less than the total, we conclude that:

42,900 = 65%

1% = 660

100% = 66,000

if you want to check the value, just do 65% of 66000, which equals to 42,900

hope it helps :)

Step-by-step explanation:

Solution:Total length of the board=95 cm

:One piece must longer 13 cm than other piece

Equation:95cm=X+X+13cm

:95cm-13cm=2x

:82cm=2x

:X=41 cm-Length of the smaller piece

:X=41cm +13cm=54cm-Length of the larger piece

Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.

Answer:

P' = (2, -2)

Step-by-step explanation:

You have the x-value and the y-value of the pre-image, so all you have to do is plug that into the translation statement (x + 9 , y - 3).

Since x = -7 and y = 1 that would be (-7 + 9, 1 - 3), or (2, -2).

Answer:

Option A, As x increases, the rate of change exceeds the rate of f

Answer:

a. major arc

b. minor arc

c. semi circle

d. central angle

Answer:

→ successive Rate of 20% for 2 Years = 2*20 + (20*20/100) = 40 + 4 = 44%.

And, when interest is compounded semi - Annually,

→ Rate = (20/2) = 10% .

→ Time = 2 * 2 = 4 Years.

So,

→ successive Rate of 10% for 4 Years = (2*10 + (10*10/100) = 21% Now, => 21*2 + (21*21/100) = 42 + 4.41 = 46.41% .

A/q,

→ (46.41%) - 44% = 482

→ 1% = (482/2.41)

→ 100% = (482/2.41) * 100 = Rs.20000 (Ans.)

Step-by-step explanation:

Answer from Gauth math

Answer:

y-intercept = 3

Step-by-step explanation:

value that's on the y - axis

Answer:

40

Step-by-step explanation:

B I D M A S

(90 - 25 + 5) = 70

1/2 x 70 = 35

10 ÷ 5 = 2

5 x 2 =10

6 + 9  = 15

15 - 10 = 2

.... cba

Answer:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M  

Step-by-step explanation:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).

Answer:

i think the answet is 0.625

Answer:

a = 53

Step-by-step explanation:

Start with d

The ends of d + 53 are diameter ends. That means that d + 53 is a right angle

d + 53 = 90

d = 90 - 53

d = 37

Next, find b. The end points of b are the same end points as for 53 degrees. B is the central angle of 53 which means b = 2 * 53

b = 106

c is the supplement of b

c + b = 180

b = 106

c + 106 = 180

c = 180 - 106

c = 74

The triangle containing a and c is isosceles because 2 of the 3 angles are opposite radii. The lowest angle is also a because it is opposite one of the radii.

a + a + 74 = 180

2a = 180 - 74

2a = 106

a = 106/2

a = 53

Hard to believe, but there it is.

Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

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Answer:

Both ends go down

Step-by-step explanation:

The end behavior of the function are Both ends go down. Therefore, Option C is true.

Given that,

The function is,

[tex]f (x) = - 2 (x - 17)^4[/tex]

Now the given function is defined at x → ∞,

f (x) = - 2 × ∞

f (x) → - ∞

As x goes to -∞

f(-∞) = -2(-∞)⁴

= -2 (∞)

= -∞

So, Both ends go to  -∞, or go down

Hence, The end behavior of the function are Both ends go down.

Therefore, Option C is true.

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Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

The volume of the given square pyramid is 480 cubic centimeter.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Slant height of pyramid is 10 cm and base is 8 cm.

The volume of square based pyramid =a²h/3.

Now, volume = (8²×10)/3

= 213.33 cubic centimeter

Therefore, the volume of a square pyramid is 213.33 cubic centimeter.

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Answer:

Step-by-step explanation:

We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?

C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,

C = (3.14)(26) so

C = 81.64 m for a whole circle, and for half of that circle, the circumference is

C = 40.82 m

Now we can find the perimeter of the rink:

40.82 + 61 + 26 + 61 = p so

p = 188.82 m

If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is

[tex]cost=\frac{6.20dollars}{meter}*188.82meters[/tex]. The label "meter" cancels out, leaving us with

cost = $1170.82

Answer:

v is 198 m/s

Step-by-step explanation:

[tex]v = \sqrt{gh} \\ v = \sqrt{9.8 \times 4000} \\ v = 198 \: m {s}^{ - 1} [/tex]