Y varies directly as x if x=15 when y=20, find x when y=30

Answer:

x = (-b ± √b² - 4ac)/2a

Step-by-step explanation:

The son is 30 years and the father is 65 years.

Let x represent the present age of the son and y represent the present age of the father.

Hence:

y = x + 35

-x + y = 35    (1)

In 5 years time:

y + 5 = 2(x + 5)

y + 5 = 2x + 10

-2x + y = 5  (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 65

The son is 30 years and the father is 65 years.

Find out more on equation at: https://brainly.com/question/2972832

Son   =  30 years

Father  =  65 years

Present Details:

Son: "s" years                    (lets consider son's present age to be s)

Father: "s + 35"                  (father is 35 years older than the son)

After 5 years:

Son: "s + 5"                [son will be 5 years older]

Father: 2(s + 5)     [twice the son's age]  and  (s + 35) + 5 = (s + 40) years

Solve father's age simultaneously:

⊕ Thus, the Son is 30 years old.

Father's age:

[tex]\huge \sf༆ Answer ༄[/tex]

As we know, Circumference of the circle can be expressed as :

[tex] \large \boxed{ \: \: \: \: \: \sf2\pi r \: \: \: \: \: }[/tex]

where, r is the radius of the circle, now equate the expression with the given Circumference to find the Radius.

Therefore, it's radius is 2 feet.

Now, let's calculate its area using the formula ~

[tex] \large \boxed{ \: \: \: \: \: \: \sf \pi {r}^{2} \: \: \: \: \: \: }[/tex]

plug the value of r (radius) as 2.

Area of circle is 12.96 ft²

Answer:

x is 15.0

Step-by-step explanation:

We can use pythagorus theorum to find the missing side of the triangle.

a² = b² + c²

a² is the longest side of the triangle, so a= 8.

b² (or you can even take c²) is one of the two sides, so b= 3

We have to find  c². So make c² the subject of the equation.

c² = a² - b²

c² = 8² - 3²

c² = 64 - 8

c² = 56

∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)

Now we can assume that c is half of x.

So x = 7.48 + 7.48 = 14.96

∴ x = 15.0 (to the nearest tenth).

no clue

Step-by-step explanation:

...................

The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.

It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.

On this note, it follows that the expression evaluation at x = 3 represents the required remainder.

Therefore, we have;

-2 (3)² + 7 (3) - 9

= -18 + 21 - 9

= -27 + 21

= -6

Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.

Therefore, the correct answer choice is; Choice A; -6.

Read more on synthetic division of Polynomials;

https://brainly.com/question/7066192

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Answer:

The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.

For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.

For p=5/36, that's

(536)25+636=2511⋅36,

and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is

836+236(2511+1610+99)=244495=12−7990≈12−0.007.

Step-by-step explanation:

Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:

p(4)=336+2736p(4),so thatp(4)=13.

Repeat this reasoning for the other outcomes and then compute the total probability of winning as:

ptot=836+336p(4)+436p(5)+…

Answer:

36.1 in.

Step-by-step explanation:

1:19 , 1.9in.

1.9 * 19

which equals 36.1 in.

(HOpe This hElps:)

If correct plz give brainliest ; )

Answer:

  j = -1

Step-by-step explanation:

Eliminate parentheses:

  -24 -3j = -16 +5j

Add 3j+16

  -8 = 8j

Divide by the coefficient of j.

  -1 = j

[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]

[tex]\rm⇢ \: \: 8j = - 8[/tex]

[tex]\rm⇢ \: \: j = - 1[/tex]

Step-by-step explanation:

24x - 19 = 16x + 13

24x = 16x + 32

8x = 32

x = 4

Answer:

14%

Step-by-step explanation:

So if we have 4 Year 11 pupils out of a total of 29 pupils at a football club, the fraction for that would be 4/29, if we convert 4/29 into a decimal number we get 0.13793103448, so we round this number up to the nearest 1 decimal place, and that would be 0.14 which equals 14%. Hope this helps.

[tex]\text{Given that,}\\\\f(x) = 3x^2 -5x +4\\\\\\ \dfrac{f(a+h)-f(a)}{h}\\\\=\dfrac{3(a+h)^2 -5(a+h) +4 - (3a^2 -5a +4)}{h}\\\\=\dfrac{3(a^2 +2ah +h^2) -5a-5h+4-3a^2+5a-4}h\\\\=\dfrac{3a^2 +6ah +3h^2 -5a-5h-3a^2+5a}h\\\\=\dfrac{3h^2 +6ah -5h}h\\\\=\dfrac{h(3h+6a-5)}h\\\\=3h+6a-5[/tex]

[tex]2(4w + 7) = 62[/tex]

Divide both sides by 2

[tex] \frac{2(4w + 7)}{2} = \frac{62}{2} \\ [/tex]

[tex]4w + 7 = 31[/tex]

Subtract both sides 7

[tex]4w + 7 - 7 = 31 - 7[/tex]

[tex]4w = 24[/tex]

Divide both sides by 4

[tex] \frac{4w}{4} = \frac{24}{4} \\ [/tex]

[tex]w = 6[/tex]

Answer:

w=6

Step-by-step explanation:

Step 1 : Simplifying

2(4w + 7) = 62

Step 2 : Recorder the terms :

2(7 + 4w) = 62

(7 * 2 + 4w * 2) = 62

(14 + 8w) = 62

Solving-

14 + 8w = 62

Solving for the variable 'w'

Move all terms containing w to the left side, all other terms to the right.

Add '- 14' to each side of the equation.

14 + - 14 + 8w = 62 + - 14

Combine like terms: 14 + - 14 = 0

0 + 8w = 62 + - 14

Combine like terms: 62 + - 14 = 48

8w = 48

Divide each side by '8'

W = 6

Simplifying

W = 6

Answer:

Step-by-step explanation:

(b). ( x , 0 )

Zero where the graph crosses the X-axis: 1

Zero where the graph touches, but does not cross the X-axis: ( - 1 )

(c). ( 0, y )

- ( 0 + 1 )²( 0 - 1 ) = 1

Answer:

3

Step-by-step explanation:

cool

Answer:

First of all its 25 points. Second of all the answer is B.

Step-by-step explanation:

Answer:

Send me a picture of the graph and I gottchu =)

Step-by-step explanation:

Answer:

I need a picture of the graph to answer that

Answer:

Step-by-step explanation:

Answer:

y>1/2x+2

Step-by-step explanation:

Answer is 15√2/2. I think.

If she used a coupon of 45%, the price markdown would be 116.55. You must subtract the markdown from the original cost to discover the amount she had to spend.

259.00 - 116.55 = 142.45

So, Ms Rowlen had to spend 142.45 on the TV.

Answer:

I think its. u must check with calculator

Answer: x = 11

Step-by-step explanation:

You didn't state what you needed for these problems so I'm going to assume you need to solve for X.

1st Equation:

3x - y = 23 --> y = 3x - 23

2nd Equation:

2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3

Set Equations = to Each other

3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23

9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3

7x/3 X 3/7 = 77/3 X 3/7

x = 11

If you need to solve for y as well plug the x value back into the original equation and solve.

Answer:

2.5 ×  [tex]10^{-5}[/tex]

Step-by-step explanation:

I hope this helps!!