Find the missing side length. When the area is 12ft.

Answer:

5/51

Step-by-step explanation:

The probability of Kevin choosing a white sock on the first pick, there are 6 white socks and 18 socks total so the chances are 6/18. But 6/18 simplified is 1/3. On the second choice he has to pick another sock and there are 5 left out of 17 socks total remaining. So the chances of him picking another sock are 5/17. If you multiply 1/3 by 5/17 you will end up with your answer, 5/51.

Probabilities are used to determine the chances of an event.

The given parameters are:

[tex]\mathbf{White = 6}[/tex]

[tex]\mathbf{Black = 4}[/tex]

[tex]\mathbf{Grey = 3}[/tex]

[tex]\mathbf{Red = 5}[/tex]

So, the total is:

[tex]\mathbf{Total = 6 + 4 + 3 + 5}[/tex]

[tex]\mathbf{Total = 18}[/tex]

The probability that both selections are white socks is:

[tex]\mathbf{Pr = \frac{White}{Total} \times \frac{White - 1}{Total - 1} }[/tex]

1 is subtracted from the fractions of the second factor, because it is a selection without replacement.

So, we have:

[tex]\mathbf{Pr = \frac{6}{18} \times \frac{6 - 1}{18 - 1} }[/tex]

[tex]\mathbf{Pr = \frac{1}{3} \times \frac{5}{17} }[/tex]

So, we have:

[tex]\mathbf{Pr = \frac{5}{51} }[/tex]

Hence, the probability that both selections are white socks is 5/51

Read more about probabilities at:

https://brainly.com/question/11234923

Answer: 80 feet

Step-by-step explanation:

10 yard= 30 feet

2[l + b]

2{30+10}

Answer:

6,24

Step-by-step explanation:

6,24^2-16= 22,9376 -> 23

Point C is the answer

Answer:

Point C

Step-by-step explanation:

Answer:

[tex]k=\frac{153}{124}[/tex]

Step-by-step explanation:

According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).

The first polynomial is :

[tex]p(y)=ky^3+3y^2-3[/tex]

When p(y) is divided by y-5, the remainder is

[tex]p(5)=k(5)^3+3(5)^2-3[/tex]

[tex]p(5)=125k+75-3[/tex]

[tex]p(5)=125k+72[/tex]

When the second polynomial:

[tex]m(y)= 2y^3-5y+k[/tex] is divided by y-5.

The remainder is;

[tex]m(5)= 2(5)^3-5(5)+k[/tex]

[tex]m(5)= 225+k[/tex]

The two remainders are equal;

[tex]\implies 125k+72=225+k[/tex]

[tex]\implies 125k-k=225-72[/tex]

[tex]\implies 124k=153[/tex]

[tex]k=\frac{153}{124}[/tex]

let's firstly convert the mixed fractions to improper fractions, and then add them up.

[tex]\bf \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{17}{2}}~\hfill \stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{17}{2}+\cfrac{23}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)17~~+~~(2)23}{6}}\implies \cfrac{51+46}{6}\implies \cfrac{97}{6}\implies 16\frac{1}{6}[/tex]

(N-2)180

(130-2)180

128 x 180

23040

Final answer:

The sum of the interior angles of a convex 130-gon is 23040 degrees, calculated using the formula S = (n - 2) × 180° with n equal to the number of sides.

Explanation:

The sum of the interior angles of any polygon can be calculated by using the formula S = (n - 2) × 180°, where S is the sum of the interior angles and n is the number of sides in the polygon. In the case of a convex 130-gon, with n = 130, the calculation would be S = (130 - 2) × 180°. This simplifies to S = 128 × 180°, which is S = 23040°. Therefore, the sum of the interior angles of a convex 130-gon is 23040 degrees.

Answer:

[tex]226.08\ in^{2}[/tex]  or  [tex]72\pi\ in^{2}[/tex]

Step-by-step explanation:

we know that

The lateral area of a cylinder ( curved area of the vase) is equal to

[tex]LA=2\pi rh[/tex]

we have

[tex]r=6/2=3\ in[/tex] ------> the radius is half the diameter

[tex]h=12\ in[/tex]

substitute the values

[tex]LA=2\pi (3)(12)=72\pi\ in^{2}[/tex] -----> exact value

assume

[tex]\pi=3.14[/tex]

[tex]72(3.14)=226.08\ in^{2}[/tex] ----> approximate value

Answer:

(5,151) and (16,316) are days with equal attendance for both plays.

Step-by-step explanation:

https://brainly.com/question/8102047

The correct answer is 5,101

Answer:

6x(x - 2)

Step-by-step explanation:

Find the common factors of 6x² - 12x, which is 6x.

Answer:

Step-by-step explanation:

[tex]-x^2-9\geq0\qquad\text{change the signs}\\\\x^2+9\leq0\\\\\text{the parabola}\ x^2\ \text{is op}\text{en up and shifted 9 units up. Therefore is whole}\\\text{over the x-axis (only positive values)}.\\\\\bold{CONCLUSION}:\\\\\bold{no\ solution}[/tex]

Answer:

Step-by-step explanation:

find the volume of each figure

Answer:

3,-5

Step-by-step explanation:

Answer: x² + y² + 16y - 242 = 0

Step-by-step explanation: The equation of circle is given in the form (x -a)² + (y - b)² = r², where (a,b) is the center of the circle and r is the radius. But r is the distance from (0,-8) to (9,7)

the equation is (x-0)² + (y + 8)² = r²

                           x² + (y + 8)² = r²

hence r² = (x₁ - x₂)² + (y₁ - y₂)²

          r² = (0 - 9)² + (-8 - 7)² = 81 + 225 = 306

hence the equation is

                x² + y²+16y+64 = 306

                x² + y² + 16y - 242 = 0                        

The answer is 2 1/4 feet.

Multiply:

1 1/2 x 1 1/2

3/2 x 3/2

9/4

2 1/4

Hope this helps!

Answer: 120 units3

Explanation: When finding the base of a prism, you must always multiply the side with the right angle. So basically, 5 is ignored because it does not have a right angle.

1st step: 3*4=12

2nd step: 12/2=6 (because the tringle which is the base is half a square)

3rd step: 6*20=120

The ending is unit 3 because it is volume. Area is unit 2 and we don't know if the prism is in cm so it is not A, or B, and D is the incorrect answer.

In conclusion:

120 units 3

Hope this helped!

Alin

Answer:

3. Additive

4. [tex]x<2[/tex]

5. Graph the linear line. Then, make the line dotted and shade below the line.

Step-by-step explanation:

3. Adding -15 to both sides to isolate the variable.

4.

[tex]-3x+8>2x-2\\5x<10\\x<2[/tex]

Answer: the answer is D

Step-by-step explanation:

20+25= 45 minutes already used up. there are 120 minutes in 2 hours that she has.

120-45= 75

75/120= .625

.625x100 to get you your percentage = 62.5%

Answer:

The answer is B

Answer:

an = -773 + 48n

Step-by-step explanation:

an = a + (n -1)d

a15 = a + (15 - 1)d = -53

         a + 14d = -53 .........1

a16 = a + (16 - 1)d = -5

         a + 15d = -5 ............2

subtract equation 2 from 1

a - a + 14d - 15d = -53 + 5

-d = -48

d =48

substitute d =48 in equation 1

a + 14(48) = -53

a +672 = -53

a = -53 -672

a = -725

an = -725 + (n -1)48

an = -725 + 48n - 48

an = -773 +48n

Answer:

The cost of each kilometer driven is $0.6

Step-by-step explanation:

Let

x ------> the total distance driven on the trip (in kilometers)

y -----> the price of the rental (in dollars)

we have

(110,186) and (170,222) ----> see the table

step 1

Find the slope of the linear function

m=(222-186)/(170-110)

m=36/60

m=0.6 $/km

The slope of the linear equation is equal to the unit rate

so

The cost of each kilometer driven is $0.6

Answer:$120

Step-by-step explanation:

Answer:

A.) 12 3/4 cups

B.) 117 1/3

Step-by-step explanation:

Part A

If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?

To answer this, you must multiply 3/4 and 17

17 is the same as 17/1, so multiply the numerators and denominators

17 x 3 = 51

1 x 4 = 4

51/4 = 12 3/4

So, Leon used 51/4 or 12 3/4 cups of water

Part B

If the cooler has 88 servings of tea, how many cups of water does it have?

To solve this, divide 88 by 3/4

Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.

Again, 88 is the same as 88/1 so multiply the numerators and the denominators.

88 x 4 = 352

1 x 3 = 3

352/3 = 117 1/3

So, there are 352/3 or 117 1/3 cups of water in the cooler

I hope this helps!

To make 17 servings of iced tea, Leon uses 12.75 cups of water. If the water cooler holds 88 servings of iced tea, it contains 66 cups of water.

The student is asking how to calculate the total amount of water needed for 17 servings of iced tea, with each serving using 3/4 cup of water. To find the total, we multiply the number of servings by the amount of water per serving:

17 servings times  3/4 cup/serving = 12.75 cups

For part B, to find out how many cups are in 88 servings:

88 servings times  3/4 cup/serving = 66 cups

Answer:

$66.50

Step-by-step explanation:

lets break this down a bit:

the tickets are $16 each

there is an additional $2.50 added when tickets are bought online, its a one time fee and does not apply to every ticket

n represents the amount of tickets bought

you're on the right track so far, the expression is as follows:

16n +2.50   <---n is placed next to the 16 because we are calculating the amount of tickets bought and their price plus the one time service fee of $2.50

we are then told that 4 tickets were bought

in this expression, n = 4, so we substitute 4 into the equation for n

16(4) + 2.50

16 x 4 = 64

instead of multiplying like you did on the worksheet, you would add since the original expression we wrote plus 2.50, not times 2.50

64 + 2.50 = 66.50

so, the total price for 4 tickets bought online is $66.50

you were on the right track! let me know if you need anything else cleared up about expressions

Answer:

D

Step-by-step explanation:

Given that the ratio of side lengths = 8 : 3, then

ratio of volumes = 8³ : 3³ = 512 : 27 → D

ANSWER

The correct answer is option D.

EXPLANATION

The given pyramids are similar and the side lengths are in the ratio 8:3

Volume is in cubic units, therefore the volume of the two similar pyramids are in the ratio;

[tex] {8}^{3} : {3}^{3} [/tex]

This simplifies to

[tex]512 : 27[/tex]

The correct answer is option D.

Answer:

408 in²

Step-by-step explanation:

Given in the question that,

length of a show box = 15 in

width of a show box = 7 in

height of a show box = 4.5 in

Formula to calculate the surface area of shoe box is as following

Plug values in the formula

2*(15*7 + 15*4.5 + 7*4.5)

2(105 + 67.5 + 31.5)

408 in²

The surface area of the box = 408 in²

Answer:

The answer would be A.

Step-by-step explanation:

This is because when you divde 120 by 10, you will be given an answer of 12. This shows that 10% of 120 is 12.

Answer:

A. What is 10% of 120?

Step-by-step explanation:

did it on edge and the other person is correct :] Hope this helps

Answer:

B

Step-by-step explanation:

it is 64 units so 8 units long each

Answer:

B) (21, -14) and (21, -22)

Step-by-step explanation:

Given,

The area of the square = 64 square unit,

Let x be the side of the square,

[tex]\implies x^2 = 64[/tex]

[tex]\implies x = 8[/tex]

Hence, the side of the square = 8 unit,

⇒ The distance between the adjacent vertices in the square = 8 units,

By the distance formula,

The distance between (3, -35) and (3, -28) is,

[tex]\sqrt{(3-3)^2+(-28-(-35))^2[/tex]

[tex]=\sqrt{0+(-28+35)^2}[/tex]

[tex]=\sqrt{7^2}[/tex]

[tex]=7\neq 8[/tex]

Thus, (3, -35) and (3, -28) can not be the vertices of the square.

The distance between (21, -14) and (21, -22) is,

[tex]\sqrt{(21-21)^2+(-22-(-14))^2[/tex]

[tex]=\sqrt{0+(-22+14)^2}[/tex]

[tex]=\sqrt{8^2}[/tex]

[tex]=8[/tex]

Thus, (21, -14) and (21, -22) are the vertices of the square.

The distance between (32, -42) and (32, -7)  is,

[tex]\sqrt{(32-32)^2+(-7-(-42))^2[/tex]

[tex]=\sqrt{0+(-7+42)^2}[/tex]

[tex]=\sqrt{35^2}[/tex]

[tex]=35\neq 8[/tex]

Thus, (32, -42) and (32, -7)  can not be the vertices of the square.

The distance between  (74, 19) and (82, 27) is,

[tex]\sqrt{(82-74)^2+(27-19)^2[/tex]

[tex]=\sqrt{8^2+8^2}[/tex]

[tex]=\sqrt{64+64}[/tex]

[tex]=\sqrt{128}[/tex]

[tex]=8\sqrt{2}\neq 8[/tex]

Thus, (74, 19) and (82, 27) can not be the vertices of the square.

If you are looking for a line measurement then I suggest using the distance formula.  Which is [tex]\sqrt({x2-x1)^{2} +(y2-y1)^{2}  }[/tex]

Answer:

B

Step-by-step explanation:

To rationalise the denominator.

Multiply the numerator/denominator by the radical on the denominator.

The radical on the denominator is [tex]\sqrt{11}[/tex], thus

Multiply the fraction by

[tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] → B

The expression (√11 /√11 ) needs to be multiplied to rationalize the denominator.

Those numbers which can be written in the form p/q such that q > 0 ae called Rational Numbers.

The expression given is

( 2 √10) /( 3 √11 )

To rationalize the denominator , the radical √11 needs to be rationalize

( 2 √10) /( 3 √11 ) * (√11 /√11 )

(2√110) / 33

Therefore (√11 /√11 ) needs to be multiplied to rationalize the denominator.

Option B is the answer.

To know more about Rational Number.

https://brainly.com/question/17450097

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Answer:

1. Not simplified correctly. It  is (3/7)x + 1

2. Not simplified correctly. It is (3/x)

3. Not Simplified correctly. I believe it is as simplified as it can get

Step-by-step explanation: When a polynomial is over a denominator, ALL elements of the polynomial is affected