At Kenji's Arcade, 1/2 of the games are racing games. Among the racing games, 4/5 are motorcycle-racing games. What fraction of the games at Kenji's Arcade are motorcycle-racing games? Write your answer as a fraction or as a whole or mixed number.

Answer:

1/24

Step-by-step explanation:

In order to find the probability of a compound event, you have to multiply the probability of each event occurring together.

The probability of choosing a female is 1/2. There are only 2 genders.

The probability of choosing long hair is 1/3. There are three different lengths of hair to choose from.

The probability of choosing red hair is 1/4. There are four different hair colors to choose from!

Multiply all these probabilities:

1/2 * 1/3 * 1/4

= 1/24

Answer: The rate of change is 5.

Step-by-step explanation:

Our equation is:

f(x) = x^2 + 4x + 5

And we want to find the rate of change in the range −1≤ x ≤2

when we want to find the rate between x1 ≤ x ≤ x2

we have:

Rate = (f(x2) - f(x1))/(x2 - x1)

So we have:

Rate = ( f(2) - f(-1))/(2 - 1)

Rate = (2^2 + 4*2 + 5 - (-1)^2 - 4*(-1) - 5)/3 = 15/3 = 5

The rate of change is 5.

Answer: the answer is D

Step-by-step explanation:

The Volume of Cylinder is 108 inch³.

Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Given:

Base = 12 inch

Height = 9 inch

So, the Volume

= base x height

= 12 x 9

= 108 inch³

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Answer:

we know that

applying the Pythagoras Theorem

c²=a²+b²

where

c=14 ft

a=8 ft

b=12 ft

case a)

if 

c²=a²+b²  C is a right angle 

case b) 

if 

c²< (a²+b²)  C is an acute angle 

case c) 

if 

c² > (a²+b²)  C is an obtuse angle 

c²=14²  196

(a²+b²)=8²+12²  208

196 < 208

c² < (a²+b²)   C is an acute angle 

the answer is the option

C. a quadrilateral, because angle C and angle X are acute

hope thus helps lol

Answer: C)a quadrilateral, because angle C and angle X are acute

Step-by-step explanation: Im double confiming that this is the right answer on edge......I just did the quiz and got 100% thx to the person above!! Hope this helps :D

Answer:

BA RB SC T

Step-by-step explanation:

Answer:

The answer is T

Answer:

x = 12

Step-by-step explanation:

Given

[tex]\frac{3x}{6}[/tex] + 2 = 8 ( subtract 2 from both sides )

[tex]\frac{3x}{6}[/tex] = 6 ( multiply both sides by 6 )

3x = 36 ( divide both sides by 3 )

x = 12

Answer:

x = 12

Step-by-step explanation:

[tex] \frac{3x}{6} + 2 = 8 \\ collect \: like \: terms \\ [/tex]

[tex] cross \: multiply \\ \frac{3x}{6} = \frac{6}{1} \\ 3x = 6 \times 6 \\ 3x = 36[/tex]

[tex]divide \: both \: sides \: of \: the \: equation \: by \: 3 \\ \frac{3x}{3} = \frac{36}{3} \\ x = 12[/tex]

Answer:

6.5%

Step-by-step explanation:

15.40 * 5 = 77

77 is in the 6.5% range.

Answer:

It depends.

Step-by-step explanation:

For 6 years:

[tex]50000*(1.04)^6=\$63266[/tex]

On average, you would have to be profiting:

[tex]\frac{63266}{6}=\$10544[/tex] per year

For 4 years:

[tex]50000*(1.04)^4=\$58492[/tex]

On average, you would have to be profiting:

[tex]\frac{58492}{4} = \$14623[/tex] per year.

It would be better to have the longer term option - although you will be paying off more in total, you would be paying off a smaller portion of your earnings.

However, you may want to pay off the loan faster as you would no longer have to worry about it, and it would be cheaper to pay off over the shorter period.

Answer:

Angle y measures 130 degrees

Step-by-step explanation:

Notice that the angles marked as "2x+18", and "4x-14" must be equal angles since they are generated on the same sector (top right) of the parallel lines by the transverse line "b".

Then by finding the value of "x" we can deduce the value of the actual angle these two angles measure:

[tex]2x+18=4x-14\\18+14=4x-2x\\32=2x\\x=16^o[/tex]

Now, we can find the actual value of these two angles, we use for example the first expression:

Top-right angle = [tex]2\,(16^o)+18^o=50^o[/tex]

Now, if these two angles measure [tex]50^o[/tex], then angle "y" (which is the supplementary angle (angle which added renders [tex]180^o[/tex] )  for them, must equal [tex]180^o-50^o=130^o[/tex]

Answer:

It's C. 130

Step-by-step explanation:

O just did the math and got it right on the test.

Answer: C

Step-by-step explanation:

Since we are looking at a vertical and horizontal line, we can eliminate B and D. A and C would both be correct, but the most accurate description would be C. x=-2 and y=5 are perpendicular lines. Since one is horizontal and the other is vertical, it makes a perfect 90°.

Answer:

-42.86%

Step-by-step explanation:

Mathematically, the percentage change is;

(new value -old value)/old value * 100%

According to this question

new value = 63

old value = 90

Inputing these values we have ;

(63-90)/63 * 100

-27/63 * 100%

= -3/7 * 100% = -42.86 #

29.2

Step-by-step explanation:

15×15=225

25×25=625

225+625=850

the square root of 850 is 29.2

Answer:

1:  -7x +4x -11=22       Answer:     x=−11

2: 3x - 5 = 7                     Answer:         x=4

3:  3(x + 7) = 5x -7           Answer:        x=14

4: 2(x-5) + 3x =20          Answer:   x=6

Step-by-step explanation

1: x=−11

2:   x=4    

3: x=14

4: x=6

Above is the answers.

Down is the steps of the questions.

Example for question 1

1: Step 1: Simplify both sides of the equation.

2: Step 2: Add 11 to both sides.

3: Step 3: Divide both sides by -3.

Hope this helps.

Answer:

10

Step-by-step explanation:

Answer:

120 cubes

Step-by-step explanation:

First we need to find the volume of the box and the volume of the cube.

Volume of box = 4 * 2.5 * 1.5 = 15 cubic units

Volume of cube = 0.5 * 0.5 * 0.5 = 0.125 cubic units

Now, to find how many cubes can be packed inside the box, we just need to divide the volume of the box by the volume of the cube:

number of cubes = volume of box / volume of cube

number of cubes = 15 / 0.125 = 120 cubes

Answer:

  Correct. He transformed the triangle according to the rule (x, y) → (–y, x)

Step-by-step explanation:

Given

  F(3, 2), H(4, 5), G 1, 2)

  F'(-2, 3), H'(-5, 4), G'(-2, 1)

Find

  Whether the triangle was correctly transformed using the rule ...

  (x, y) → (–y, x).

Solution

For point F, we have ...

  x = 3

  y = 2

Then the rule tells us the point F' should be ...

  F' = (-y, x) = (-2, 3)

This is the point Quinton found for F', so his transformation was correct. (We can similarly verify that H' and G' are also correct.)

Answer:

The answer is A. Correct. He transformed the triangle according to the rule (x, y) → (–y, x).

Step-by-step explanation:

Answer:

(4t+2/5 s) (4t+2/5 s)

Step-by-step explanation:

16t^2-4/25 s^2

=(4t)^2-(2/5 s)2 by using (a^2-b^2) formula

=(4t+2/5 s) (4t+2/5 s)

Answer:

[tex] = ( \frac{4t - 2}{5s} )( \frac{4t + 2}{5s} ) \\ [/tex]

Step-by-step explanation:

[tex] \frac{16 {t}^{2} - 4 }{25 {s}^{2} } \\ \frac{ {4}^{2} {t}^{2} - {2}^{2} }{ {5}^{2} {s}^{2} } \\ = ( \frac{4t - 2}{5s} )( \frac{4t + 2}{5s} )[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

6

Step-by-step explanation:

6 ^ (1/4) ^ 4

We know a^ b^ c = a^(b*c)

6 ^ (1/4*4)

6^1

6

Answer:

C. 6

Step-by-step explanation:

Multiply the exponents on the expression

1/4 x 4 = 1

This simplifies to 6^1 or 6

Answer:

x = 136

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

Answer:

2x + 6

Step-by-step explanation:

2 will multiply everything inside the bracket.

2 x X =2x

2 X 3=6

The expansion of the given expression is 2x+6.

Th given expression is 2(x+3).

The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.

The given expression can be solved as follows:

Now, 2(x+3)

= 2×x+2×3

= 2x+6

Therefore, the expansion of the given expression is 2x+6.

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Answer:

Step-by-step explanation:

let the length of shortest side be x

and length of  second side be 2x

and third side be x+17

given , perimeter = 173 feet

therefore , x+2x+x+17 =173

4x =173-17

4x =156

x = 156/4

x = 39

therefore ,

length of :

shortest side = 39 feet

second side =78 feet

third side =56 feet

hope it helps.. please mark me as the brainliest...

Step-by-step explanation:

I don't understand the question

Answer:

Hi there!

The correct answer will be D. 7

Step-by-step explanation:

This is an example of the power rule where: [tex](a^{x} )^{y}[/tex] = [tex]a^{xy}[/tex]

1/5 multiplied by 5 equals 1, and anything with the exponent of one is itself so it's 7

Answer:

Ashton read 62 pages over the three days

Step-by-step explanation:

Given;

Ashton read 12 pages on Friday

He read 3 times as many pages on Saturday = 3 x 12 pages = 36 pages

He read 14 more pages on Sunday

The total number of pages read Ashton over the three days can be calculated as follows;

Total pages read by Ashton = 12 pages + 36 pages + 14 pages

Total pages read by Ashton = 62 pages

Therefore, Ashton read 62 pages over the three days

Answer:

10/r x 4

Step-by-step explanation:

Answer:

15 out of 100

Step-by-step explanation:

15 %= 15/100  it means 15 out of 100

The airplane's path is an illustration of right-triangles

Represent the angle of descent with [tex]\theta[/tex]

The angle of descent, [tex]\theta[/tex] is then calculated using the following tangent identity

[tex]\tan(\theta) = \frac{35000\ feet}{150 \ miles}[/tex]

Convert feet to miles

[tex]\tan(\theta) = \frac{6.6287879\ miles }{150 \ miles}[/tex]

Divide

[tex]\tan(\theta) = 0.0442[/tex]

Take the arc tan of both sides

[tex]\theta = \tan^{-1}(0.0442)[/tex]

Evaluate the arc tan

[tex]\theta = 2.5[/tex]

Hence, the angle of descent is 2.5 degrees

Represent the plane's path with p

The plane's path is calculated using the following Pythagoras theorem

[tex]p^2 = (150\ miles)^2 + (35000\ feet)^2[/tex]

Convert feet to miles

[tex]p^2 = (150\ miles)^2 + (6.6287879\ miles)^2[/tex]

Evaluate

[tex]p^2 = 22543.940829[/tex]

Take the square roots

[tex]p = 150.15[/tex]

Hence, the plane's path is 150.15 miles

Read more about right-triangles at:

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Answer:

(2) 22

Step-by-step explanation:

In the given triangle MNP, the medians are straight lines drawn from the angle to opposite side so as to divide the side into equal parts.

PS = 8 and QS = 3, thus;

PS = NS = 8 (congruent property of ΔRSN and ΔQSP)

QS = SP = 3 (congruence property)

So that,

NQ = NS + SQ

     = 8 + 3

    = 11

PR = PS + SR

    = 8 + 3

   = 11

Thus;

NQ + PR = 11 + 11

             = 22

Therefore, NQ + PR = 22

Answer:

y = -22/5

Step-by-step explanation:

-3+7y=5x+2y

Subtract 2y from each side

-3+7y-2y=5x+2y-2y

-3 +5y = 5x

Add 5 to each side

5y = 5x+3

Divide each side by 5

y = 5x/5 +3/5

y = x +3/5

Let x = -5

y = -5 + 3/5

y = -25/5 +3/5

y = -22/5

Answer:

[tex]y=-\frac{22}{5}[/tex]

Step-by-step explanation:

[tex]-3+7y=5x+2y\\x=-5[/tex]

Replace:

[tex]-3+7y=5(-5)+2y\\-3+7y=-25+2y[/tex]

Subtract -2y

[tex]-3+7y-2y=-25[/tex]

Add 3

[tex]7y-2y=-25+3[/tex]

Combine like terms;

[tex]5y=-22[/tex]

Divide by 5.

[tex]y=-\frac{22}{5}[/tex]

Proof

[tex]For x=-5, y=-\frac{22}{5}[/tex]

[tex]-3+7y=5x+2y[/tex]

[tex]-3+7(-\frac{22}{5} )=5(-5)+2(-\frac{22}{5} )[/tex]

[tex]-3-\frac{154}{5}=-25-\frac{44}{5}[/tex]

To make it easier to solve, add 154/5

[tex]-3=-25-\frac{44}{5}+\frac{154}{5}[/tex]

Now add 25

[tex]-3+25=-\frac{44}{5}+\frac{154}{5}[/tex]

Combine like terms;

[tex]22=\frac{110}{5} \\22=22[/tex]