Two hundred fifty tickets are sold at a fund raiser. If Sarah buys 15 tickets, the probability that she will win the prize quilt is
.

⇒

Coefficient of this expression is 5 only.

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Check the picture below.

Answer:

29x/20 - 5

Step-by-step explanation:

1/4x - 5 + 1.2x​

=> 0.25x - 5 + 1.2x

=> 1.45x - 5

=> 29x/20 - 5

Therefore, this is the simplified form: 29x/20 - 5

Answer:

Hi!

12x = 81.84

x = 6.82

6.82 dollars every week

Answer:

181.3

Step-by-step explanation:

I hope this helps!

Answer:

10% of 95 is 9.5

So 95 - 9.5 = 85.5

By solving a system of equations we will find that the rate of current in the stream is S = 2 mi/h.

When the motorboat travels downstream, the total velocity will be the velocity of the motorboat in still water plus the velocity of the stream, while if the motorboat travels upstream, we have the velocity of the stream subtracted.

So upstream the speed is:

(14 mi/h - S)

Downstream the speed is:

(14 mi/h + S)

Where S is the rate of current in the stream.

We know that downstream it takes 15 minutes more to travel 12 miles, then we can write the system of equations:

(14 mi/h + S)*T = 12 mi

(14 mi/h - S)*(T - 15 min) = 12 mi

To solve this, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = (12 mi)/(14 mi/h + S)

Replacing that in the other equation we will get:

(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi

Now we can solve this for S. Now we can multiply both sides by (14 mi/h + S).

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)

Also notice that the speeds are in hours, so we can rewrite:

- 15 min = -0.25 h

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)

168 mi^2/h - 12mi*S  + 49mi^2/h + 0.25h*S^2 = 168mi^2/h + 12mi*S

- 12mi*S  + 49mi^2/h - 0.25h*S^2 = 12mi*S

-24mi*S -  0.25h*S^2  + 49mi^2/h = 0

This is a quadratic equation, the solutions are:

[tex]S = \frac{24mi \pm \sqrt{(-24mi)^2 - 4*(49mi^2/h)*(-0.25h)} }{2*-0.25h} \\\\S = \frac{24mi \pm 25 mi }{-0.5h}[/tex]

We only take the positive solution, so we get:

S = (24 mi - 25 mi)/(-0.5 mi) = 2 mi/h

The rate of current in the stream is 2 mi/h.

If you want to learn more, you can read:

https://brainly.com/question/24345308

Answer:

It can either be 17593pi/9000 rad or if youre looking for a decimal answer is it 1.95pi and rad=6.14

Step-by-step explanation:

Answer:

314.16 cm squared

Step-by-step explanation:

Step-by-step explanation:

The text below that are formatted in bold and underlined font are the solutions to the missing boxes in your given problem.  

Given that ∠1, ∠2, ∠3, and ∠4 are formed by two intersecting segments, and that:

∠1 and  ∠2 form a linear pair  

∠2 and ∠3 form a linear pair  

These linear pair relationships suggest that by the Linear Pair Postulate:

∠1 and ∠2 are supplementary.    ⇒  Linear Pair Postulate

∠2 and ∠3 are supplementary.    ⇒  Linear Pair Postulate

m∠2 + m∠ 3 = 180°  ⇒  Definition of supplementary angles.

m∠1 + m∠3  = m∠2 + m∠ 3  ⇒  Substitution Property of Equality.          

m∠1  =  m∠3   ⇒  Subtraction Property of Equality.  

Answer:

-25/12

Step-by-step explanation:

first, you need a common denominator. in this case, it's 12.

-1/3=-4/12

-7/4=-21/12

and then you add

-4+-21=-25

so -25/12 is your answer

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

Answer:

BC = 8 and EF = 8.

Step-by-step explanation:

Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).

Set BC and EF equal to each other.

x + 6 = 3x + 2

Subtract x from both sides.

6 = 2x + 2

Subtract 2 from both sides.

4 = 2x.

Divide 2 on both sides.

x = 2.

Substitute 2 for x.

BC = 2 + 6

BC = 8

Since we already know that EF is congruent to BC, EF is also 8.

EC = 3(2) + 2

EC = 6 + 2

EC = 8

Answer:

it won't let me message back.

Step-by-step explanation:

Answer:

136°

Step-by-step explanation:

Look at the attached paper for the steps.

Answer:

136°

Step-by-step explanation:

In quadrilateral ABCD,

[tex]m\angle A = 180\degree - 107\degree = 73\degree[/tex](Angles in linear pair)

[tex]m\angle B = 61\degree [/tex](Vertical Angles)

[tex]m\angle C= 90\degree [/tex](Given)

[tex]m\angle A +m\angle B+m\angle C+m\angle D= 360\degree[/tex](Interior angle sum postulate of a quadrilateral)

[tex]73\degree +61\degree+90\degree+x= 360\degree[/tex]

[tex]224\degree+x= 360\degree[/tex]

[tex]x= 360\degree-224\degree[/tex]

[tex]x= 136\degree[/tex]

Answer:

unknown number = 1

Step-by-step explanation:

Let the unknown number be x.

(8×x)-6=2

   8x-6=2

       8x=2+6

           =8

         x=8÷8

           =1

Hence, unknown number = 1.

Answer:

Solution

verified

Verified by Toppr

f,g:R→R is defined as

f(x)=x+1

g(x)=2x−3

Now, (f+g)(x)=f(x)+g(x)=(x+1)+(2x−3)=3x−2

∴(f+g)(x)=3x−2

Now, (f−g)(x)=f(x)−g(x)=(x+1)−(2x−3)=x+1−2x+3=−x+4

∴(f−g)(x)=−x+4

(

g

f

)(x)=

g(x)

f(x)

,g(x)



=0,x∈R

∴(

g

f

)(x)=

2x−3

x+1

,2x−3



=0 or 2x



=3

∴(

g

f

)(x)=

2x−3

x+1

,x



=

2

3

Step-by-step explanation:

9000(1+0.04/12)^(8*12)

9000(1.0033333)^96

9000(1.3763)

A=12,387.56

the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675[/tex]

Using implicit differentiation, it is found that the height is changing at a rate of -0.875 m/sec.

The volume of a rectangular solid of length l, width w and height h is given by:

[tex]V = lwh[/tex]

Applying implicit differentiation, the rate of change of the volume is given by:

[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]

In this problem:

Then:

[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]

[tex]-2  = 2(1.5)(0.25) + 2(1.5)(0.25) + 2(2)\frac{dh}{dt}[/tex]

[tex]4\frac{dh}{dt} = -3.5[/tex]

[tex]\frac{dh}{dt} = -\frac{3.5}{4}[/tex]

[tex]\frac{dh}{dt} = -0.875[/tex]

The height is changing at a rate of -0.875 m/sec.

A similar problem is given at https://brainly.com/question/9543179

Step-by-step explanation:

7.50= (1 + x/100 ) × 5.50

7.50/ 5.50 = 1+x/100

x/100 = 0.36

x= 36.36%

42 = 7*6

so,

7:9 = 7*6 : 9*6 = 42:54

Answer:

Y=x+8

Step-by-step explanation:

Answer:

x=-22.42

Step-by-step explanation:

-18.43=3.99+x

Move the variable to the left-hand side and move the constant to the right. Change their signs.

-x=3.99+18.43

Add.

-x=22.42

Change the signs on both sides of the equation.

x=-22.42

Hope this helps :)

Answer:

  137/150

Step-by-step explanation:

We can solve for w by adding -1/6 to both sides of the equation.

  w -(-1/6) = 1.08

  w = 1.08 +(-1/6) = 108/100 -1/6

  w = 54/50 =1/6 = 162/150 -25/150

  w = 137/150

Answer:

A. 28x + 94y

Step-by-step explanation:

First, line up the like terms as if you were adding vertically, and combine them.

(42x + 59y)

+ (-14x + 35y)

(28x + 94y)

Hope this helps :)