Mathematics College

Only answer if you are beinggreat78!

Answers

Answer 1

[tex]s = \frac{cardinality(s)}{cardinality( \omega)} = \frac{15}{100} = \frac{1.5}{100} [/tex]

The shaded region represents 1.5 grids

[tex]1.5 = 1 \frac{0.5}{1} = 1 \frac{5}{10} = 1\frac{1}{2} [/tex]

Option A

Answer 2

Answer:

Step-by-step explanation:

The answer and work is in the attached screenshot! :)

Related Questions

Determine which answer in the solution set will make the equation true.

4p + 5 = 6p − 15
S: {−10, 0, 10, 20}

A: 0
B: −10
C: 20
D: 10

Answers

Answer:

d) 10

Step-by-step explanation:

Let's solve the problem,

→ 4p + 5 = 6p - 15

→ 6p - 4p = 5 + 15

→ 2p = 20

→ p = 20/2

→ [ p = 10 ]

Hence, option (d) is correct.

help fast please math!!!!!!!!

Answers

12*15 = 180

Hope this helps

Answer:

I am thinking 180

Step-by-step explanation:

The reason why I say this is because 180 over 12 equals to 15

What is -y+9z-16y-25z+4 written in simplest form

Answers

Your answer is:
- 17y - 16z + 4

Please show work, and brainliest will be yours.

Answers

Now, because the conditional and converse are true, then we have a biconditional relation between P and Q.

From that, we conclude that the truth values for the two above statements is true for both

What are the truth values of the contrapositive and inverse statements?

A conditional statement is of the form:

If P, then Q.

The inverse statement is:

if Q, then P.

We assume that these two are true.

An example of this is:

P = a number is even.

Q = a number is a multiple of 2.

Then the two above statements are:

conditional: If a number is even, then the number is a multiple of 2.converse: if a number is a multiple of 2, then it is even.

Now the inverse statement is:

if not P, then not Q.

The contrapositive is:

If not Q, then not P.

Now, because the conditional and converse are true, then we have a byconditional relation between P and Q.

From that, we conclude that the truth values for the two above statements is true for both, but let's check with our propositions:

Inverse: If a number is not even, then it is not a multiple of 2. (this is true)

Contrapositive: If a number is not multiple of 2, then it is not even (also true).

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how do you find the nth term of 70, 110, 150, ….

Answers

Answer: an=40(n-1)+70

Step-by-step explanation:

70, 110, 150, ….

Notice the terms get bigger by 40 as the sequence progresses. Hence, we can model this sequence with a linear equation. y=40(x-1)+70 where y=term value, x=term number and 70 is the first term.

y=40(x-1)+70

an=40(n-1)+70 ==> an=term value/nth term. n=term number

There are about 7,000,000,000 people in the world. In Australia, there is a population of about
2.306 x 107 people. What is the difference between the world's and Australia's populations?

Answers

If there are about 7,000,000,000 people in the world and In Australia, there is a population of about 2.306 x [tex]10x^{7}[/tex] people, then the difference between the world's and Australia's populations is 697.694×[tex]10^{7}[/tex]

Given,

The total population of world = 7,000,000,000 peoples

Convert to suitable standard form

7,000,000,000 peoples = 700× [tex]10^{7}[/tex] peoples

The population of Australia = 2.306×[tex]10^{7}[/tex]

The difference = The population of world - The population of Australia

=700× [tex]10^{7}[/tex]-2.306×[tex]10^{7}[/tex]

=(700-2.306)×[tex]10^{7}[/tex]

=697.694×[tex]10^{7}[/tex]

Hence, If there are about 7,000,000,000 people in the world and In Australia, there is a population of about 2.306 x [tex]10x^{7}[/tex] people, then the difference between the world's and Australia's populations is 697.694×[tex]10^{7}[/tex]

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graph each equation by using a table -3=5x-y

Answers

The graph of the equation is shown below

Graph of linear equations

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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HELP ME PLEASE THS IS ABOUT GEOMETRY THNKS

Answers

Using proportions, the coordinates of point C are given as follows:

C(0, -0.67).

What is a proportion?

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For this problem, the points are given as follows:

A(-4,-6), B(5,6), C(x,y).

The ratio of AC to CB is of 4:5, hence the following equation is constructed:

C - A = 4/9(B - A).

As the ratio of 4:5 means that the distance is 4/(4 + 5) = 4/9.

The x-coordinate of C is found applying the above equation as follows:

x + 4 = 4/9(5 + 4)

x + 4 = 4

x = 0.

The y-coordinate of C is also found applying the equation, as follows:

y + 6 = 4/9(6 + 6)

y + 6 = 5.33.

y = -0.67.

Hence the coordinates of point C are given as follows:

C(0, -0.67).

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Multiplication equation-
X
Groups
10. Write a multiplication equation for each one.
a) 2+2+
2+2 + 2 =
b.) 5+5+5+5+5=
c.) 4 groups of 3 =
Draw a picture of 4 groups of 3
------->
--->
->
X
X
X
=

Answers

we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.

We are given some expressions and we need to find the multiplication equation for each one.

a) 2 + 2 + 2 + 2 + 2 will be

Since, 2 is repeating 5 times, we get that:

multiplication equation will be:

2 + 2 + 2 + 2 + 2 = 2 × 5

b) 5 + 5 + 5 + 5 + 5 will be

Since, 5 is repeating 5 times, we get that:

multiplication equation will be:

5 + 5 + 5 + 5 + 5 = 5 × 5

c ) 4 groups of 3 will be

Since, 3 is repeating 4 times, we get that:

multiplication equation will be:

4 groups of 3 = 3 × 4

Therefore, we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.

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A civil engineer counted the cars that passed through an intersection.If 2457 cars passed through the intersection in one hour how many cars would pass through 8 hours

Also need you to send the working out please you would help the best

Answers

The number of cars that would pass through the intersection in 8 hours is 19,656.

How many cars would pass through in 8 hours?

In order to determine the number of cars that would pass through the intersection in 8 hours, the cars that passed through in one hour would be multiplied by the number of hours.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the process of adding one number to another over a number of times. The sign used to represent multiplication is x.

Total number of cars that passed through in 8 hours = cars that passed through in one hour x number of hours

2457 X 8

2457

x 8

19,656

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For a sporting event 6,000 tickets were sold, and the proceeds were $78,000. Tickets for children 16 and younger, were $8, adults were $16, and seniors 60 and older were $12. There were 2 times more adults than children at the sporting event.

What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the sporting event?

Responses
c+a+s=6,000
8c+12a+16s=78,000
2a=c

c+a+s=6,000
8c+16a+12s=78,000
a=2c

c+a+s=6,000
8c+12a+16s=78,000
a=2c

c+a+s=6,000
8c+16a+12s=78,000
2a=c

Answers

Option 2 is the answer.

No. on tickets sold = 6000

Proceedings of the tickets sold = $78,000

Cost of tickets for children = $8

Cost of tickets for adults = $16

Cost of tickets for seniors = $12

2 times more adults were present than the children.

Let the number of children be 'c.'
Let the number of adults be 'a.'
Let the number of seniors be 's.'

Since 2 times more adults were present than the children, we get the equation,

a = 2c

No. of tickets sold will be equal to the total no, of people.

∴ c + a + s = 6000

The proceedings will be equal to the sum of the amounts and number of people who bought tickets with that amount,

∴ 8c + 16a + 12s = $78,000

Thus, we have the three equations,

c + a + s = 6000
8c + 16a + 12s = $78,000
a = 2c

This series of equations are given in option 2 Thus, option 2 is the answer.

Answer) Option 2.

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WILL GIVE BRAINLIST

Write an equation for the line, in point-slope form, that passes through the following points. (2,-1) (5,-7)

Answers

Answer: y + 1 = -6(x-2)

Step-by-step explanation:

First find the slop with m = y2 - y1 / x2 - x1

-7 - (-1)/ 5 - 2 = -6

-7 + 1 / 5 -2 = -6

m = -6

Then use the point slope form y - y1 = m(x - x1) with coordinates (2, -1)

y - (-1) = -6(x - 2)

y + 1 = -6(x-2)

71500 divided by 8 long division

Answers

Answer:

The answer is 8,937.5

Step-by-step explanation:

71500÷8

8×8=64

71-64=7

7500÷8

8×9=72

75-72=3

300÷8

8×3=24

30-24=6

60÷8

8×7=56

60-56=4

4.0÷8

8×5=40

40-40=0

Find the slope of the line if it exists.

Answers

Answer: 5/4

Step-by-step explanation: You go up five from point (-6,0) and across for to point (-2,4)

Which shows the equation below written in the form ax² + bx + c = 0?
x+ 9 = 2(x-1)²

Answers

Answer:

[tex]2x^2 -5x - 7 =0[/tex]

Step-by-step explanation:

We have the equation
[tex]x + 9 = 2(x-1)^2[/tex]

[tex](x-1)^2 = x^2-2x+1[/tex] using the formula [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]x + 9 = 2(x^2-2x\cdot \:1+1^2)[/tex] = [tex]2x^2-4x+2[/tex]

Switch sides

[tex]2x^2-4x+2=x+9[/tex]

Subtract 9 from both sides
[tex]2x^2-4x+2 - 9=x+9-9[/tex]

[tex]2x^2 -4x -7 = x[/tex]

Subtract x on both sides
[tex]2x^2 - 4x -7 -x = 0[/tex]

[tex]2x^2 - 4x - x -7 = 0[/tex]

[tex]2x^2 -5x - 7 =0[/tex]

where

[tex]a = 2, b = -5, c = -7[/tex]

Answer: I hope this helps.

Step-by-step explanation:

Select all of the following tables which represent y as a function of x
.

Answers

The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

Linear functions

A set of ordered equation represents a linear function if the domain of the coordinates are not repeated.

For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.

From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

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A cone-shaped pile of sawdust has a base diameter of 40feet, and is 17feet tall. Find the volume of the pile.

Answers

Answer:

7120.94 cubic feet

Step-by-step explanation:

volume of a cone =

pi times radius squared times (height ÷ 3)

pi times 20 squared times (17 ÷ 3)

In which situation would the result be 0?

Answers

Option C.) “adding -1 1/2 to the coordinate of point J” would result in 0. The equation would look like so:

1 1/2 + (-1 1/2) or 1 1/2 - 1 1/2

Evaluating accordingly would result in an answer of 0.

Final answer: C.

Answer:

C, adding -1 1/5 to the coordinate of point J

Step-by-step explanation:

J= 1 1/5

1 1/5+(-1 1/5)

- use the distributive property

- positive x negative # = negative #

1 1/5 - 1 1/5

= 0

2. There are 30 students in Mrs. Woodward’s class and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?

Answers

6 have their own cell phone and 15 can use social media

Answer:

Step-by-step explanation:

Im guessing but i did 5*___= 30 which is 6 so 6 of his student have their own cell phone, and then the half is 3

Two splice plates are cut from a piece of sheet steel that has an overall length of 19 3/8 in. The plates are 9 1/4 in. and 6 15/16 in. long. How much material remains from the original piece if each saw cut removes 1/16 in.?

Answers

The material that remains from the original price is 3 1/16 inches.

How much material remains?

A fraction is a non-integer that consists of a numerator and a denominator. A mixed fraction is made up of a whole number and a proper fraction. A proper fraction is a fraction where the numerator is less than the denominator.

Material left = initial length - length of the first plate - length of the second plate - (2 x 1/16)

[tex]19\frac{3}{8} - 9\frac{1}{4} - 6\frac{15}{16} - \frac{2}{16}[/tex]

[tex]4\frac{6 - 4 - 15 - 2}{16}[/tex]

4[tex]\frac{-15}{16}[/tex]= 3 1/16 inches

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A={x|x is an even number more than 0 but less than 5}

Answers

Answer:

A = {2, 4}

Step-by-step explanation:

This can be written as

A = {2, 4}

Rewrite 42= 6x7 using commutative law of multiplication

Answers

we get 6 = 6 , in 42= 6x7 using commutative law of multiplication.

What do associative law and commutative law mean?

The order of some mathematical operations is addressed by the commutative property. We can write the binary operation as a + b = b + a. The associative attribute, on the other hand, deals with the grouping of numbers in an operation. For instance, we could write it as (a + b) + (a + b + c).This law states that no matter how the numbers are arranged, the outcome of multiplying two integers remains the same. So A.B = B.A. Examples include: 1 + 2 + 1 + 2 + 4 + 5 + 4 + 20.

using the Commutative Law of Multiplication.

42 = 6 x 7

42 / 7 = 6

6 = 6

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Question
Ray invested $1700 in an account with continuously compounded interest at a rate of 2.8%. After 3 years, how much
money did he have in the account? Round your answer to the nearest dollar.

Answers

The amount of money in Ray account after investing for three years was $1846.84

What is an equation?

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let y represent the total money after x years, hence:

y = 1700(1.028)ˣ

After 3 years:

y = 1700(1.028)³ = $1846.84

The amount of money in Ray account after investing for three years was $1846.84

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Answer:

$1849

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where r=0.028, P0=1700, and t=3. Substitute the values into the formula and simplify.

A=1700e0.028⋅3

A=1700e0.084

A=1700(1.087...)

A=1848.97

To the nearest dollar, the amount in the account after three years is A≈1849.

What is the answer to this?
$8.72 - $4.90
$8.72 - ___________ = $3.72
____________ + $0.10= _______

Answers

8.72-4.90=3.82
8.27-5=3.72
8.72+0.10=3.82

a - 15 = 22

———

83 = y - 17

could someone please give me the step-by-step answer for these?
I’m really confused

Answers

Answer:

a = 37 y = 100

Step-by-step explanation:

Think of the inverse operation of addition which is subtraction. Then you can guess and check and see what fits where. The letters are just placeholders so I took the given number and added it to the answer to get the answers for the blanks.

Cheers!

Answer:
1. a = 37
2. 100 = y

Explanation:

First problem:

First: You have to get the variable (a) alone, so you must get rid of the “- 15” and in order to do this you have to do the opposite of subtraction, which is addition. You have to add 15 to 22 as well since both sides of the equal sign have to do the same thing.

a - 15 = 22
+ 15 + 15

Second: There is nothing else to do, the answer is a = 37

a = 37

Second problem:

First: Just like the first problem you must get t the variable (y) alone. Since 17 is being subtracted from the variable you must add 17 to “- 17” and just like last time you must do the same to the other side of the equal sign! So you’ll be adding 17 to 83

83 = y - 17
+ 17 + 17

Second: There is nothing else to do, you’re left with 100 = y

100 = y

Is -22 a rational number?

Answers

Yes, it is a rational number

Joey walked 10 laps around the school's track. He walked a total distance of 6.74 miles. Monica walked 30 laps around the same track. What is the total distance Monica walked?

Answers

Answer:

20.22 miles

Step-by-step explanation:

If 10 laps is 6.74 then 30 laps is 3*6.74 which is 20.22

Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3500 cubic feet and whose height is 2.9 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)

Answers

The radius of the hole is 0.07 feet.

What is the radius?

A cylinder is a three-dimensional object that is made up of a prism and a circular base.

Volume of a cylinder = πr²h

Radius = √volume / (π x h)

Where:

π = pi = 22/7r = radiush = height

The volume of the hole and the height of the hole are in different dimensions. Thus, the height of the hole has to be converted to feet.

1 mile = 5280 feet

5280 x 2.9 = 15,312 feet

3500 / (22/7 x 15,312) = 0.07 feet

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what is the distance between the points (5, 14) and (18, 3)?

Answers

Answer:

14.87

Step-by-step explanation:

A sample of n = 5 scores has a mean of M= 10. One new score is added to the sample, and the new mean is calculated to be M = 9. What is the value of the new score?
A) X=5 B X=55 C) X=4.5 D X=4 E)

Answers

The value of the new score in discuss according to the task content is; Choice D; X= 4.

What is the value of the new score?

According to the task content, it follows that the mean of the initial 5 scores was; M = 10.

Hence, the sum of all 5 scores is; 5 × 10 = 50.

Hence, upon addition of the sixth score, x the new mean is; M = 9.

Hence, the value of the new score can be determined as follows;

(50+x)/6 = 9

50 + x = 54

x = 54-50

x = 4.