Doug has a bag full of crayons. There are 6 red crayons, 7 blue ones, and 4 green crayons. Doug wants to color a blue sky. What is the probability that Doug will pull out a red crayon, put it back in the bag, and then get a blue crayon? Write your answer as a simplified fraction

Volume of prism: 5 x 4 x 6 = 120 cubic meters

Volume of pyramid: 5x4 x 6/3 = 40 cubic meters

Ratio: 40/120 = 1/3

Answer:

60%

Step-by-step explanation:

First we must find how many chocolate their was. 60 - 24 = 36

36 is 60% percent of 60.

Answer:

Step-by-step explanation:

the two halfs of the triangles will make a box so just  5x8x9 =360 [tex]cm^{3}[/tex]

Answer:

x = 5/4 + √65/4 or x = 5/4 - √65/4

Step-by-step explanation:

I'm assuming you mean 2x^2-5x-5=0?

x = ( -b ± √b^2 - 4ac ) / 2a

x = ( -(-5) ± √(-5)^2 - 4(2)(-5) ) / 2(2)

x = ( 5 ± √(25 + 40) ) / 4

x = ( 5 ± √65 ) / 4

x = 5/4 ± √65/4

Therefore, x = 5/4 + √65/4 or x = 5/4 - √65/4

Answer:

The answer would be 3, 50%, 3/6, 1/2

Step-by-step explanation:

Half the numbers are even numbers while the other half is uneven.

1 3 5

2 4 6

Answer:

40

Step-by-step explanation:

14/35 = f/100

35f = 14 x 100

f = 14 x 100 /35

f = 40

Answer:

40

Step-by-step explanation:

Well, 35% of 40 is 14, but I'm not confident on what it wants when it suggests to answer as a numeric expression. But, if it means in it's unadulterated, unsimplified, primitive nature, then sure, let me list the work below.

14/.35

There.

Answer:

set of input values that consists of all numbers in an  interval.

Step-by-step explanation:

Answer:

A continuous domain is a set of input values that consists of all numbers in an interval.

Step-by-step explanation:

I don't know how to explain it to a five year old. Sorry

Answer:

D. 16 times.

Step-by-step explanation:

Volume of a cylinder = π r^2 h

π r^2 h = 432

Now if the diameter is reduced by 1/4 then the radius is reduced by a fourth also.

Let the new height be H, then:

432 = π (r/4)^2 H

so π r^2 h = π(r/4)^2 H

r^2 h = r^2 H / 16

h = H/16

H = 16h.

Answer: 13:1

Step-by-step explanation:

Number of candies = 1170

Number of gumdrops = 1080

Number of chocolate bars = 90

The ratio of candies to chocolate bars will be calculated thus:

= Number of candies / Number of chocolate bars

= 1170 / 90

= 13/1

= 13:1

Therefore, the ratio of candies to chocolate bars is 13:1.

Answer:2444

Step-by-step explanation 23333

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

Answer:

Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.

The last digit must be a 1, 3, 5, or 7, because the number has to be odd.

So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.

The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.

At this point, we have everything we need to express this as an equation:

x = (2 x 4 + 1 x 3) x 6 x 5

And then we can simplify and solve:

x = (8 + 3) x 30

x = 11 x 30

x = 330

The two solutions of the inequality -X > 10 are -15 and -11

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To solve the inequality -X > 10, we need to isolate the variable X on one side of the inequality.

We can start by multiplying both sides of the inequality by -1 to get:

X < -10

This means that any value of X that is less than -10 will satisfy the inequality.

Therefore, two possible solutions to the inequality are:

X = -15 (since -15 is less than -10, the inequality -X > 10 is true)

X = -11 (since -11 is also less than -10, the inequality -X > 10 is true)

Note that there are infinitely many possible solutions to the inequality, since any value of X that is less than -10 will work.

Hence, the two solutions of the inequality -X > 10 are -15 and -11

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Answer:

1 1/6

Step-by-step explanation:

A mixed number is a proper fraction.

Answer:

[tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

We are given the fraction of  [tex]\frac{7}{6}[/tex].

There are enough parts to make one whole, with one remaining.

Six sixths for the whole, the fraction would be one-sixth.

[tex]\frac{7}{6}=1\frac{1}{6}[/tex]

Hope this helps.

Answer:

C

Step-by-step explanation:

Given

x² - 2x + 2 = 0 ( subtract 2 from both sides )

x² - 2x = - 2

To solve use the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 2 + 1

(x - 1)² = - 1 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )

x = 1 ± i , then

x = 1 + i or x = 1 - i → C

Answer:

3 < M - N < 9

Step-by-step explanation:

First, let's write the inequalities for these two numbers.

"a number greater than -3 and less than -2"

 -3 < N < -2

"a number greater than 1 and less than 6"

1 < M < 6

We want to subtract the first one to the second one, so we want to get:

M - N

Because this is a subtraction, the lower bound of the subtraction happens when we have the minimum value of M and the maximum value of N.

Then the minimum value of M - N happens when:

M = 1

N = -2

(notice that M can't be equal to 1, and N can't be equal to -2, we just do this to find the lower bound)

Then the lower bound is:

M - N = 1 - (-2) = 3

We already got:

3 < M - N

For the upper bound, we need to find the difference between the largest value of M, and the lowest value of N

This is:

M = 6

N = -3

M - N = 6 - (-3) = 9

Then:

M - N < 9

If we take both of our results, the possible values of the subtraction are given by:

3 < M - N < 9

The result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6 is mathematically given as

3 < M - N < 9

Question Parameter(s):

-3 < N < -2

1 < M < 6

therefore,

subtraction for lower bound

M - N = 1 - (-2)

M - N = 3

3 < M - N

subtraction for upper bound

M - N = 6 - (-3)

M - N = 9

M - N < 9

In conclusion,  the possible values after subtraction are

3 < M - N < 9

Read more about Inequality

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Answer:

28 cm

Step-by-step explanation:

the unmarked angle is 32°

180°-90°-58°=32°

cos(32°)=[tex]\frac{24}{c}[/tex]

c=[tex]\frac{24}{cos(32\textdegree)}[/tex]

=28.3

≈28

Answer:

x = 20

Step-by-step explanation:

In parallelograms opposite angles are congruent and angles that are on the same line are supplementary

This means that ∠TUR and ∠URS are supplementary angles

Supplementary angles have a sum of 180°

That being said we can find the missing angle ( ∠ URS ) by subtracting the measure of the given angle ( ∠TUR which has a measure of 160° ) from 180

so ∠URS = 180 - ∠TUR ( 160 )

180 - 160 = 20

Hence, ∠URS = 20°

Answer:

Tasa efectiva anual= 0.1722= 17.22%

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual= 16% capitalizable mensualmente

Primero, debemos calcular la tasa nominal mensual:

Tasa mensual= 0.16 / 12= 0.01333

Ahora, usando la siguiente formula, la tasa efectiva anual:

Tasa efectiva anual= (1 + i)^n - 1

Tasa efectiva anual= (1.01333^12) - 1

Tasa efectiva anual= 0.1722= 17.22%

Answer:

Step-by-step explanation:

Start with f(x)=3x+24 and find the inverse function:

1.  Replace "f(x)" with y:  y = 3x + 24

2.  Interchange x and y:  x = 3y + 24

3.  Solve for y:  3y = x - 24, or y = (1/3)(x - 24)

This last step results in the inverse function.

Now let's test this.  Let x = 36.  How many texts could Madison "do" for this dollar amount?  y = (1/3)(36 - 24) results in y = (1/3)(12), or 4 (texts).

Let's go back to the original f(x)=3x+24, now letting x = 4:

f(x)=3(12)+24 = $36.  This verifies that y = (1/3)(x - 24) is the inverse function of f(x) = 3x + 24.

Answer:

First answer: 3

Second answer: 6

Each square you see on the cube you add +1 to get 3

But in total the cube has 6 faces

Answer:

You can see 3 faces

There are 6 faces in a cube

Answer:m =

(25×7) + 40 = m

Step-by-step explanation:

i just know how to do this my brain just does it

Step-by-step explanation:

Given that,

Length, l = (3d+2) m

Width, b = (d+5) m

(a) Perimeter of the rectangle,

P = 2(l+b)

P = 2(3d+2+d+5)

= 2(4d+7)

P = 8d+14

(b) If P = 30 cm.

8d+14 = 30

8d = 16

d = 2

(c) l = (3(2)+2) = 8 m

b = (2+5) = 7 m

The area of this rectangle,

A = lb

A = 8×7

A = 56 cm²

Hence, this is the required solution.

Answer:

Area is 12 square meter

Step-by-step explanation:

The formula for the area of a triangle is 1/2 (b)(h)

which is 1/2 (6)(4) which is 12.

Answer:

No, it is not a solution of the equation.

Step-by-step explanation:

x=-11, y=-284

14 · (-11)-129=-283

-283≠-284

Answer:

There are 19.5 extinguishers needed.

Step-by-step explanation:

Given that,

One fire extinguisher be available for every 4,520 square feet in a building.

We need to find the value of x if the number of fire extinguishers needed for a building that has 88,140 square feet.

x = (Area of building)/(Area of one fire extinguisher)

So,

[tex]x=\dfrac{88140}{4520}\\\\x=19.5[/tex]

So, there are 19.5 extinguishers needed.

Answer:

B

Step-by-step explanation: