If a number a is chosen at random from the set
of positive integers less than 20, then what is the
probability that 12/a > a?

A. 12/19
B. 3/5
C. 7/19
D. 3/19

Answers

Answer 1

Answer:

D. 3/19

Step-by-step explanation:

12/1 = 12

12/2 = 6

12/3 = 4

These are the only ones that make the equation true.

There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.


Related Questions

2p + 4q =20 translate into a sentence

Answers

Answer:

two "P" plus four "Q" equals twenty

Step-by-step explanation:

I changed the numbers to words

Sarita showed the steps to solving the equation. 5 (x minus 3) + 7 (x + 4) = 73 Steps Sarita's Solution Sarita's Verification 1 5 x minus 15 + 7 x + 28 = 73 5 (5 minus 3) + 7 (5 + 4) = 73. 5 (negative 2) + 7 (9) = 73. Negative 10 + 63 = 73. 53 not-equal-to 73. 2 (5 + 7) x + (negative 15 + 28) = 73 3 12 x + 13 = 73 4 12 x + 60 5 x = 5 When Sarita tried to verify her answer, she found it was wrong. Which explains her mistake?

Answers

Answer:

Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.

Step-by-step explanation:

Given the following equation:

The steps to solve it are:

5(x-3)+7(x+4)-73

1. Apply the Distributive property:

5x-15+7x+28=73

2. Add the like terms:

12x+13=73

3. Subtract5 13 from both sides of the equation:

12x+13-(13)=73-(13

12x=60

4. Divide both sides of the equation by 12:

12r/12 = 60/12

x = 5

To verify it, let's substitute  into the equation:

5(5-3)+7(5+4)=73

Evaluating, we get:

5(2)+7(9)=73

10+63=73

73=73

Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that 5-3 is not equal to -2 )

Answer:

A. Sarita’s solution is correct. She made an error in her verification.

Step-by-step explanation:

EDGE 2020

Which of the following lines is perpendicular to the line y = -3 x + 2 and passes through the point (–2, 8)?​

Answers

Answer:

y = 1/3x + 26/3

Step-by-step explanation:

Original equation: y = -3x + 2

Perpendicular lines have the "opposite reciprocal" slopes of each other, meaning you flip the numbers and reverse the sign.

Slope of original equation: -3

Slope of perpendicular line: 1/3

How: Reciprocal, flip the numbers: -3/1 to -1/3, then reverse sign -1/3 to 1/3

Then you substitute (-2, 8) into the new equation: y = 1/3x + b

*there's b because you don't know the y-intercept yet

Substitute: 8 = 1/3(-2) + b

8 = -2/3 + b

Add 2/3 on both sides

b = 24/3 + 2/3

b = 26/3

*this is the y-intercept

Therefore, the perpendicular equation is: y = 1/3x + 26/3

What is 5x-7(x+1)=9
Thanks for the help

Answers

Answer:

x = -8

Step-by-step explanation:

Step 1: Write equation

5x - 7(x + 1) = 9

Step 2: Solve for x

Distribute -7: 5x - 7x - 7 = 9Combine like terms: -2x - 7 = 9Add 7 to both sides: -2x = 16Divide both sides by -2: x = -8

Step 3: Check

Plug in x to verify it's a solution.

5(-8) - 7(-8 + 1) = 9

-40 - 7(-7) = 9

-40 + 49 = 9

9 = 9

What is the best estimate for ?

5.75
6.25
7.5
8.1

Answers

Answer:

The answer is 6.25

Step-by-step explanation:

Root 38 is exactly 6.16441400297. That number estimated would be 6.20 since 6.16 is close to 6.20. The closest number to 6.20 is 6.25.

Please answer will give brainliest! What is the distance between −93 and 114 on a number line? −207 −21 21 207


−207

−21

21

207

Answers

Answer:

207

Step-by-step explanation:

It automatically can not be -207 and -21 because you can't have a negative distance. To find the correct answer between 21 and 207, first you have to add 93 and 114. You do this because -93 is below the number line, so you have to add it to 114. 114 + 93 = 207

207

I hope this helps

Answer:207Step-by-step explanation:What is the distance between −93 and 114 on a number line?Responses−207negative 207−21negative 212121207ANSWER TIME!!:114+93=207= -207

What is the solution to this equation? 4- 5k = -21
a.5
b.21
c.17 over 5
4 over 5

Answers

Answer:

k = 5

Step-by-step explanation:

4 - 5k = -21

Transpose and subtract 4 from both sides:

4 - 4 - 5k = -21 -4

-5k = -25

Divide both sides by -5

-5k/-5 = -25/-5

k = 5


There are 6 m spaces help

Answers

Answer with step-by-step explanation:

If the comparison is 5 cm:6 m, then the numbers would be 5:600. If so, we have to multiply each of the dimensions by 5/600.

7.5 cm = 1/16 m

9 cm = 3/40 m

6 cm = 1/20 m

3.5 cm = 7/240 m

Hope this helped!

dilations increase the measure of angles
true or false

Answers

False. Dilations increase the area and side lengths of a shape but the angles maintain the same measure.

I hope this helps! Please comment if you have any questions.

Which situation is best represented by the following equation?

45w + 123.95 = 753.95


Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

Erica paid $753.95 for dance classes. She paid $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

Answers

Answer: The first one.

Star A is about 3.4 x10^18 miles from earth. star B is 6.8 x 10^16 miles from earth.Star A is how many times as far from Earth as Star B? I

Answers

Answer: It's 50

Step-by-step explanation:

3.4 divided by 6.8 is 0.5 and 18-16 (the exponents) is 2. since ur dividing your subtracting the exponents. so then u get 0.5*10^2 but it cant be lower than 1 so u move the decimal in 0.5 one space to the right which then leads you to get 5*10^1 or 5*10 which is 50.

Answer asap please!
1 3/5 ÷ 1/4

A- 3/20

B- 1 3/20

C- 1 2/5

D- 6 2/5

Answers

Look at the attachment

Answer:

D

Step-by-step explanation:

8/5 x 4 = 6  2/5

Determine the length of AS.
A. 12
B. 18
C. 3
D. 6

Answers

Answer:

C. 3

Step-by-step explanation:

2x+6

Divide 2 on both sides

x=3

I believe the answer would be 3

.
Gus and Mark collect baseball cards and they keep them in plastic sleeves. Gus has 5 plastic sleeves that are full of cards. Mark has 2 sleeves full of cards and 6 additional cards.


If Gus and Mark have the same number of cards, which equation could be used to find the number of cards in one sleeve?
A.) s + 5 = s + 2 + 6
B.) 5s = 2s - 6
C.) 5s + 6 = 2s
D.) 5s = 2s + 6

Answers

It’s probably D, sorry if I’m wrong

Select the proper order from least to greatest pleas

Answers

Answer: B

Proof is 7/6 is more than a whole so it’s the greatest while 1/8 is the least then that leaves 2/3 and 9/10 and 9/10 is greater than 2/3 so the answer should be B

Answer:

Your picture is locked I would fix it but I dont know how.

Step-by-step explanation:

hello me please asap​

Answers

Answer:

7,10,19 and 4,5,9

Step-by-step explanation:

According to the Triangle Inequality theorem, then largest side of a triangle must be smaller than the sum of the smaller sides. For example, in 5,6,8, the largest side is 8, and 5 + 6 = 11, which is larger than 8. 7 + 10 = 17, which is not larger than 19, and 4 + 5 = 9, which is not larger than 9

Find the distance between (9,2) and (5,9)

Answers

Answer:

√ 65

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Exact Form:

√ 65

Decimal Form:

8.06225774 …

A New York City veterinary technician makes $40,532.00 per year. He is paid every two weeks. What is his gross pay per paycheck? (Remember there are 52 weeks in a year)

Answers

Answer:

His gross pay per paycheck is $1558.92

Step-by-step explanation:

$40,532.00 ÷ 52 = 779.461538462

779.461538462 × 2 = 1558.92308

1558.92308 ≈  $1558.92

The expression 5/2​k −2​ factored is

Answers

Answer:

Factored out is 1/2 or 0.5

Step-by-step explanation:

5k - 4 over 2

Please solve for me ;6÷2(1+2)​

Answers

Answer:

9

Step-by-step explanation:

Pls help me (don’t mind the yagami Yato)⭐️

Answers

Answer:

7 1/2 or 7.5

Step-by-step explanation:

3 ÷ 2/5 = ?

To divide you need to flip the second fraction and multiply:

3/1 x 5/2 = 7 1/2 or 7.5

If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?

Answers

Answer:

36.16 miles

Step-by-step explanation:

A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It travels from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?

Answer:

The distance between two points X([tex]x_1,y_1[/tex]) and Y[tex](x_2,y_2)[/tex] is given as:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the image attached, the coordinates of the plane are:

A(-1, -1), B(1, -1), C(5, 2), D(0,  13), E(-5, 2).

The lengths are:

[tex]|AB|=\sqrt{(1-(-1))^2+(-1-(-1))^2}=2\ units\\ \\|BC|=\sqrt{(5-1)^2+(2-(-1))^2}=5\ units\\\\|CD|=\sqrt{(0-5)^2+(13-2)^2}=12.08\ units\\\\|DE|=\sqrt{(-5-0)^2+(2-13)^2}=12.08\ units\\\\|AE|=\sqrt{(-5-(-1))^2+(2-(-1))^2}=5\ units[/tex]

But 1 mile = 1 unit

Total distance = |AB| + |BC| + |CD| + |DE| + |AE| = 2 + 5 + 12.08 + 12.08 + 5 = 36.16 miles

Can someone PLEASE help me out??!!!!!!!

Answers

Answer:

[tex]\huge\boxed{66.42 \textdegree}[/tex]

Step-by-step explanation:

In order to solve for this missing angle, we can use trigonometry.

With angle B, we only have two sides: the adjacent of the angle and the hypotenuse of the angle. The adjacent side is the one laying directly next to the angle that isn't the hypotenuse.

Using SOH CAH TOA, we can see that the correct trig function for this would be cos because of CAH (Cosine = Adjacent over Hypotenuse)

Since we know the length of the sides but we don't know the angle, we are going to use inverse trig.

The adjacent side over our hypotenuse will be [tex]\frac{2}{5}[/tex] since 2 is the length of the adjacent and 5 is the length of the hypotenuse.

We know have the equation [tex]cos^{-1}(B) = \frac{2}{5}[/tex].

We now find what [tex]\frac{2}{5}[/tex] is (0.4) and find the inverse cosine of it. We can do this by plugging it into a calculator.

When we do this, we get the number [tex]66.42182152[/tex] etc. Rounding to the nearest hundredth gets us 66.42.

Hope this helped!

answer please this question​

Answers

Answer:

p = 4√5

Step-by-step explanation:

To solve for P, we can use the Pythagorean theorem.

a²+b²=c²

(8)²+(p)²=12²

64+p²=144

p²=80

√p=√80

p = 4√5

I NEED HELP ASAP!!!!!!! WHAT IS 8 3/5x 2 5/8?

Answers

Answer: 22.575

If you round up, it is 22.6.

I hope you get a 100! Best of luck!!!

Which rule describes the transformation?
O(x, y) - (x, y)
O (x,y) - (y,x)
O (x,y) - (-x, -y)
O (x, y) - (y, -x)

Answers

The answer is C (x,y)-(-x,-y)

The rule that describes the transformation is (x, y) → (-x, -y).

Option C is the correct answer.

We have,

From the graph,

A = (-1, -1)

B = (1, -1)

C = (0, -4)

And,

A' = (1, 1)

B' = (-1, 1)

C = (0, 4)

Now,

If we use transformation:

(x, y) → (-x, -y) on each coordinate of A, B, and C.

We get,

A' = (1, 1)

B' = (-1, 1)

C = (0, 4)

Thus,

The rule that describes the transformation is (x, y) → (-x, -y).

Learn more about transformation here:

https://brainly.com/question/12463306

#SPJ7

Pete owes his brother $35 from five weeks of borrowing money.

a. What is the mean amount Pete borrowed from his brother each week?

b. If Pete continues to borrow his money, how much money will he owe after three more weeks?

Answers

Answer:

The Answer for a is $175

Step-by-step explanation:

Thats all I know sorry

Can someone help me? Kendall owns 39 CD’S, and he buys a new one every week. Raymond only owns 15 CD’S but he buys 3 new ones each week. How many weeks will it be before Raymond owns as many CD’S as Kendall?

Answers

Answer:

7 weeks

Step-by-step explanation:

Let the number of weeks be x

Then Kendal's CD's

39 + x

Raymond's CD's

15 + 3x

Time when they have equal CD's

39 + x = 15 + 3x3x - x = 39 - 152x = 14x = 7 weeks

Answer:

That is wrong... 7 is not the answer

12 is the real answer

Step-by-step explanation:

How to get the LCM of the exxpresion

Answers

Answer:

The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. 3 x 3 - 2 x 2 - x and x - 1 . The LCM is by multiplying all factors included in the factoring of the given expressions.

Step-by-step explanation:

To find the LCM of given expressions, we proceed as follows:

1) Express each of the expressions as the product of its factors including prime factors where applicable.

2) Find the product of each factor with the highest power which occurs in the given expressions.

3) This product is the LCM.


Simplify the expression x(3x)2

Answers

Answer:

3x(2)

=6x

Step-by-step explanation:

Answer:

[tex]6x^{2}[/tex]

Step-by-step explanation:

x(3x)(2)

=x*3*x*2

=6*x2

=6x2

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