A pair of fair dice is cast. What is the probabiliy that one of the numbers falling uppermost is a 5, given that the two numbers falling uppermost are different?.

Answer:

ans: 4/729

Step-by-step explanation:

here,

-2 ^2 = 4

and

(3^3)^2 = 3^6 = 729

= 4/729

Answer:

Solving for x;

-2x + 22 < 18

Get rid of constants:

-22          -22

-2x < -4

Isolate x, by dividing by -2 from both sides since the inverse operation of multiplication is division, and remember when dividing or multiplying by negative integers, you flip the inequality symbol around:

÷-2 ÷-2

x > 2

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x > 2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}[/tex]

Given:

-2x + 22 < 18

Solve:

[tex]\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+22-22 < 18-22[/tex]

[tex]\mathrm{Simplify}[/tex]

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

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-2x\right)\left(-1\right) > \left(-4\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2x > 4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2} > \frac{4}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x > 2[/tex]

~Lenvy~

Answer:

720

Step-by-step explanation:

break the area into two shapes the triangle and the rectangle

then you good

Answer:

D. 28 cm

Step-by-step explanation:

P=4s

P=4(7)

P=28

Answer:

D. 28cm

Step-by-step explanation:

P = 4s

P = 4(7cm)

P = 28cm

=> D. 28cm

Answer:

A - 10 feet

D - 5 seconds

Step-by-step explanation:

Insert 12 for r the radius and 1500 for V the volume.

12 = [tex]\sqrt{}\frac{3(1500)}{\pi h}[/tex]

Square both sides

144 = [tex]\frac{4500}{\pi h}[/tex]

Solve 144 = [tex]\frac{4500}{\pi h}[/tex]: h = [tex]\frac{125}{4\pi }[/tex]

h = [tex]\frac{125}{4\pi }[/tex] or 9.9 rounded to the nearest foot,

h = 10

t = [tex]\sqrt\frac{2(200)}{16}[/tex]

t = [tex]\sqrt\frac{400}{16} = 25[/tex]

t = [tex]\sqrt{5^{2} }[/tex]

t = 5

Answer:

option C

Step-by-step explanation:

hope this help u

Answer:

pie - 38

sauce - 37.5

Step-by-step explanation:

For the Red Delicious apples you keep subtracting 5 from the total (95) and adding 1 to both of the total numbers of pies and apple-sauce. For the Granny Smith apples you keep subtracting 9 from the total and adding 1 to both of the total numbers of pies and apple-sauce until you get to 7 then you subtract 5 and 1 to the total of pies then you only have 2 left and that is half of the appl-sauce.

The value of x from the equation is 21 pies and the value of y from the equation is 16 batches of apple sauces

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of apple pies be x

Let the number of batches of apple sauce be y

Now , the system of equations are

5x + 4y = 169   be equation (1)

3x + 2y = 95   be equation (2)

Multiply equation (2) by 2 , we get

6x + 4y = 190   be equation (3)

Subtracting equation (1) from equation (3) , we get

x = 190 - 169

x = 21

Substitute the value of x in equation (2) , we get

3x + 2y = 95

3 ( 21 ) + 2y = 95

63 + 2y = 95

Subtracting 63 on both sides of the equation , we get

2y = 32

Divide by 2 on both sides of the equation , we get

y = 16

Therefore , the value of x and y are 21 and 16 respectively

Hence , the number of apple pies and apple sauces are 21 and 16 respectively

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Answer:

1:5

Step-by-step explanation:

divide by 20 on both sides, 5 : 1.

Answer:

$10.8

Step-by-step explanation:

Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8

Answer: -4.96x + 6

Step-by-step explanation:

In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.

-0.4 (10.2x-15+2.2x)

= - 4.08x +6 -0.88x

Now that you have this problem, combined like terms. What are the like terms in this problem?

The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.

-4.08x -0.88x +6

= -4.96x +6

This would be your final answer because nothing further can be done at this point.

hope this helps!

Based on the discount rate and the sales tax, the original price of the computer was $750.

First find the price before tax. This can be found as:

= Computer price / (1 + tax)

= 688.50 / (1 + 8%)

= $637.50

Then find the price without the discount as:

= Price without tax / (1 - discount rate)

= 637.50 / (1 - 15%)

= $750

Find out more on discounts at https://brainly.com/question/1548141.

Answer:

10.5* Celsius

Step-by-step explanation:

Its easy to do, this is the right answer

Answer:

4

Step-by-step explanation:

2+2=4

I hope this helps you!!

The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given below.

x² + y² – 18x + 8y + 5 = 0

Add and subtract 97, then we have

x² – 18x + y² + 8y + 97 – 97 + 5 = 0

x² – 18x + 81 + y² + 8y + 16 – 92 = 0

                        (x – 9)² + (y + 4)² = 92

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[tex]\textsf{The slope of a line passing through two}[/tex]

[tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Slope, =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]

Here,

Putting Values:-

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Slope =\frac{27-2}{9-9} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{25}{0}\quad(not\: defined) \\\end{gathered} \end{gathered}[/tex]

>>The slope of the line that passes through the given points is not defined.

Note- We can conclude that if x-coordinate of the points through which line passes are same , then slope is always not defined .

Answer:

a.36 cm³

Step-by-step explanation:

hope helps u

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{6x + 1}{3} + 1 = \dfrac{x - 3}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{6x + 1}{3} - \dfrac{x - 3}{6} =- 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{12x + 2 - x + 3}{6} =- 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{11x + 5}{6} =- 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: {11x + 5}{} =- 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 11x = -6 - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = -1 [/tex]

Step-by-step explanation:

[tex] \frac{6x + 1}{3} + 1 = \frac{x - 3}{6} \\ \frac{6x + 1 + 3}{3} = \frac{x - 3}{6} \\ 6( 6x + 4) = 3(x - 3) \\ 36x + 24 = 3x - 9 \\ 36x - 3x = - 9 - 24 \\ 33x = - 33 \\ x = - 1[/tex]

Answer:

8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

Answer:   8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

Answer:

$56.25

Step-by-step explanation:

75%*75.00 = 56.25

The piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]  

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]  

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]  

A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.

Then, the piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]   (1)

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]   (2)

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]    (3)

The map with key information of velocities is missing. We proceed to show the required information:

City - 30 miles per hour

Highway - 60 miles per hour

Mountain - 45 miles per hour

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Answer:

the longest segment is between 14 and 9

Step-by-step explanation:

this is the best answer in my eyes

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.

The length of the diagonal of the rectangular prism is given as,

D² = L² + W² + H²

The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.

The diagonal length is calculated as,

D² = 14² + 11² + 9²

D² = 196 + 121 + 81

D² = 398

D = 19.95 cm

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

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Answer:

reflection

Step-by-step explanation:

by examination

Answer:

A reflection off the x axis

Step-by-step explanation:

Hope this helps!!!

The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.

Due to this similar triangle the segment formed by the parallel line are proportional segment.

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.

The map of the zoo is attached below.

The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.

Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,

[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]

Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

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Answer:

28

Step-by-step explanation:

Did on edge 2022

Answer:

84

Step-by-step explanation:

Since, the digit should be in ascending order, therefore we have to group 123456789 into 3–3 groups with its digits being in ascending order.

Step 1:

Select 1 as one digit

Step 2:

Select 2 as a 2nd digit.

Step 3:

We have 7 numbers (3,4,5,6,7,8,9) as a 3rd digit of a 3-digit number. Therefore, We have 7 numbers in the form of 12_.

Go back to Step 2 and Select 3 as a 2nd digit. Then, we have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 13_.

Continue these steps till you get the number of 3-digit numbers in the form of 1__ to 189 which will be 28 numbers.

Go back to Step 1 now and select 2 as a 1st digit and in Step 2, start with 3 as a 2nd digit.

In step 3, you’ll have 6 numbers (4,5,6,7,8,9) as a 3rd digit of the form 23_.

Continue these steps till you find the number of the 3 digit number of the form 2__ to 289 which will be 21

Repeat the steps again to find the number of 3digit number of the form 3__ to 389 which will be 15.

Then find 4__ to 489, 5__ to 589, ……till 789

the answers will be like this

1__=28

2__=21

3__=15

4__=10

5__=6

6__=3

789 which is 1

Adding all these, you’ll get 84.

The total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] distinct ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We can use the rule of product as:

For this case, the three digit number consider is going to have 3 places in it such that each place can have any of those 9 digits in them.

So each place can be filled in 9 ways.

There are 3 such places, so, using the rule of product, the filling of those places can be done in:

[tex]9 \times 9 \times 9 = 9^3 = 729 \: \rm ways[/tex]

Thus, the total number of different three digit numbers that can be made using any of the digits 1,2,3,4,5,6,7,8,9 is 729 digits.

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Step-by-step explanation:

first fine 2% of the initial salary since he is paid that every year

2/100×69400=2×694=1388

so for 17 years = 1388×17

=23596

Answer:

$3.40

Step-by-step explanation:

Look at image above...