Three boys and four girls enter a contest at the local movie theater a randomly choose winner will be rewarded free movie ticket a collectible pasta or free popcorn what is the probability that a girl will win free popcorn

Answer: 12

Step-by-step explanation:

Since Duane has 30 pairs of socks in a drawer and he has 6 matched pairs and the rest are of the socks are mismatched, the number if mismatched socks will be:

= 30 - 6

= 24 mismatched socks

Since he packed 1/2 of his mismatched pairs in his duffle bag for a week at summer camp, therefore, the number of socks he packed will be:

= 1/2 × 24

= 12

Therefore, he packed 12 socks for summer camp.

Answer:

∠ 1 = 72°

Step-by-step explanation:

(4n - 2) and (2n + 17) are adjacent angles and sum to 180° , that is

4n - 2 + 2n + 17 = 180

6n + 15 = 180 ( subtract 15 from both sides )

6n = 165 ( divide both sides by 6 )

n = 27.5

Then

2n + 17 = 2(27.5) + 17 = 55 + 17 = 72

∠ 1 and 2n + 17 are vertical angles and congruent , so

∠ 1 = 72°

Answer:

Step-by-step explanation:

Answer:A snow day occurs when school is canceled for the day because of bad winter weather. The box below shows the number of snow days at Andrew's school during each of the past six winters.

Step-by-step explanation:

Answer:

Hi! The answer to your question is [tex]n=m/2-x[/tex]

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

n= 1/2  m−x

Step-by-step explanation:

m=2(x+n)

Step 1: Flip the equation.

2n+2x=m

Step 2: Add -2x to both sides.

2n+2x+−2x=m+−2x

2n=m−2x

Step 3: Divide both sides by 2.

2n/2   =  m−2x /2

n= 1/2  m−x

Hopes this helps

Answer: Approximately normal, because we expect 19.2 successes and 20.8 failures from people in their twenties, and 16.8 and 43.2 from people in their fifties, and all of these counts are at least 10.

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 games, 8 rides

Answer:

2(l+b)

2(600cm+700cm)

2(1300cm)

2600cm

Therefore, the perimeter of the rectangular court is 2600cm.

Answer:

x = 4.5

Step-by-step explanation:

Since the perimeters are equal , then the equation relating them is

2x + 3 + 2x - 3 + x = x + 3 + x + 3 + x + 3 , that is

5x = 3x + 9 ( subtract 3x from both sides )

2x = 9 ( divide both sides by 2 )

x = 4.5

Answer:164.9

Step-by-step explanation:d=m/v

V=m/d

V=453.5/2.75

V=164.9

Answer:

I) ∠CAB measures 60°.

II) BC measures approximately 15.23 cm.

*Please read notes.

Step-by-step explanation:

We are given ΔABC, where AB measures 10√3 cm, AC measures 6 cm, and the triangle has an area of 45 square cm.

And we want to find I) the measure of ∠CAB and II) the length of BC.

I) First, we should always draw a representative triangle so we can determine the sides and angles. This is shown below.

Note that ∠CAB (or simply ∠A) is the angle between the two sides. Thus, we can find the angle by using the alternative formula for the area of a triangle:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are two side lengths, and C is the angle between the two sides.

Substitute:

[tex]\displaystyle 45=\frac{1}{2}(10\sqrt{3})(6)\sin(A)[/tex]

Simplify:

[tex]\displaystyle 45=30\sqrt{3}\sin(A)[/tex]

So:

[tex]\displaystyle \sin(A)=\frac{45}{30\sqrt{3}}=\frac{3}{2\sqrt3}=\frac{\sqrt{3}}{2}[/tex]

Take the inverse sine of both sides. Use a calculator. Thus:

[tex]\displaystyle m\angle A=\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)=60^\circ[/tex]

II) To find BC, we will use the Law of Cosines. We do not know whether or not ΔABC is a right triangle, so we cannot use right triangle trigonometry or special right triangles.

The law of cosines is:

[tex]\displaystyle c^2=a^2+b^2-2ab\cos(C)[/tex]

Where a and b are side lengths and C is the angle between the side lengths. c is the side length opposite to the angle.

BC is opposite to A. Substitute:

[tex](BC)^2=(10\sqrt{3})^2+(6)^2-2(10\sqrt{3})(6)\cos(60^\circ)[/tex]

Simplify:

[tex]\displaystyle BC^2=336-120\sqrt{3}\left(\frac{1}{2}\right)=336-60\sqrt{3}[/tex]

Take the square root of both sides:

[tex]\displaystyle BC=\sqrt{336-60\sqrt{3}}\approx 15.23[/tex]

BC measures about 15.23 cm.

Notes:

In this case, the inverse sine of √3/2 will yield two answers: 60° and 120°. This is an example of an ambiguous case. Both of these angles will work. However, BC will be different. If ∠A is 60°, then BC is about 15.23. However, if ∠A is 120°, then BC is about 20.97. Both will result in the triangle having an area of 45 square cm, as well as AB measuring 10√3 and AC measuring 6.

Answer:

x+10=45

x+10-45=0

x-35=0

x=35

Answer:

y = 3x^2 + 6x + 1

Step-by-step explanation:

We're given two points on the graph:  (-1, -2) and (0, 1).  

The pertinent equation is

y=ax^2+bx+c, but the vertex form would also be useful:  y - k = a(x - h)^2.

Note that this parabola opens up, and that the minimum point is also the vertex:  (-1, -2).

The vertex is (-1, -2), and so:  y + 2 = a(x + 1)^2, and

the graph goes through (0, 1), so we can rewrite y + 2 = a(x + 1)^2 as

1 + 2 = a(0 + 1)^2, or:

  3 = a(1)

So now we know that a = 3 and that the equation of this parabola in vertex form is y + 2 = 3(x + 1)^2

Lastly we must put the above result into standard form.  To do this, perform the indicated multiplication.

y + 2 = 3(x^2 + 2x + 1) = 3x^2 + 6x + 3

Writing y on the left and all the rest on the right, we get

y = 3x^2 + 6x + 1

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{9}{15}[/tex]

[tex]\text{Probability}=\dfrac{3}{5}[/tex]

[tex]\text{Probability}=0.6[/tex]

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

Answer:

10000 possible combinations

Step-by-step explanation:

Number of digits = 4

Range of values of each digit = 0 - 9

Number of digits in range = 10

Hence, each digit could be = (1 - 10)

1st digit = 10

2nd digit = 10

3rd digit = 10

4th digit = 10

Total possible combination :

10 * 10 * 10 * 10 = 10000 possible combinations

Answer:

8.54

Step-by-step explanation:

Answer:

c = 8.5

Step-by-step explanation:

a² + b² = c²

8² + 3² = c²

64 + 9 = c²

c² = 73

[tex]\sqrt{c^2} =\sqrt{73}[/tex]

c = 8.5

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x-\dfrac{3}{2}=3}[/tex]

[tex]\large\textsf{You have to SIMPLIFY the SIDES of The given EQUATION}[/tex]

[tex]\mathsf{x + (-\dfrac{3}{2}) = 3}[/tex]

[tex]\large\textsf{ADD by } \mathsf{\dfrac{3}{2}}\large\textsf{ to BOTH of the SIDES}[/tex]

[tex]\mathsf{x + (-\dfrac{3}{2})+ \dfrac{3}2{}=3+\dfrac{3}{2}}[/tex]

[tex]\large\textsf{CANCEL out: } \mathsf{-\dfrac{3}{2}+\dfrac{3}{2}}\large\textsf{ because that gives you 0}[/tex]  

[tex]\large\textsf{Keep: } \mathsf{3+ \dfrac{3}{2}}\large\textsf{ because that helps solve for your x-value }[/tex]

[tex]\large\textsf{New equation: }\mathsf{x = 3 + \dfrac{3}{2}}[/tex]

[tex]\mathsf{3+\dfrac{3}{2}}[/tex]

[tex]\large\textsf{SOLVE above and you have your ANSWER}[/tex]

[tex]\mathsf{3+\dfrac{3}{2}=\bf \dfrac{9}{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: }\mathsf{\bf x = \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Area ≈ 3077.68

Explanation:

See attached image for equation

Answer:

volume= length x width x height

Step-by-step explanation:

In this instance the height will represent the depth of the pool.

To actually solve it it would look like

2500=(22)(40)(h)

2500=880(h)

2.84=h (or depth)

Answer:

-1 , 10   and 10 , -1

Step-by-step explanation:

hello :

if x , y  this numbers you have the system :   x+y =9.....(*)

                                                                        xy = -10.....(**)

use (*) : y = 9 - x

put this value of y in (**) : x(9-x) = -10

9x  - x² = - 10

x²-9x - 10 = 0

(x+1)(x-10)=0  means : x+1 = 0 or x -10 = 0

x = -  1   or x=10

if : x= -1    y = 9-(-1)=10

if : x= 10   y = 9-(10)=1

Answer:

98

Step-by-step explanation:

i am smart

Answer:

True.

False.

True.

Answer:

non-proportional

Step-by-step explanation:

Answer:

this is the answer in the image above

Answer:

look attachment

Answer: $1,560

Step-by-step explanation:

Assume the computer's price is x.

This means that expressing the printer in terms of x would be:

= 30% * x

= 0.3x

These two put together represent the cost of $2,028

Expression is:

x + 0.3x = 2,028

1.3x = 2,028

x = 2,028/ 1.3

x = $1,560

Computer was $1,560

Printer was therefore:

= 1,560 * 30%

= $468

Answer:

$1.50

Step-by-step explanation:

The computation is shown below:

Given that

The cost of each cupcakes be 0.50 cents

And, the cost of doughnuts be $25

So for two doughnuts the cost would be 2.50

And, for two cupcakes, the cost would be 0.50 × 2 = 1

So, the more amount would be

= 2.50 - 1

= $1.50

Hence, the same would be considered and relevant too

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Step-by-step explanation:

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