Mathematics High School

witch property is used to simplify 3 C + 9 + 4 C equals 3 C + 4 C + 9

Answers

Answer 1
This is the associative property of addition

Related Questions

A certain human red blood cell has a diameter of 0.000007 meters. Write an expression that represents this diameter, in meters in scientific notation.

Answers

7 x 10^-6 You're basically just moving the decimal place over six times until there is a whole number before the decimal.
 

Given is the diameter of a human red blood cell equal to 0.000007 meters. It says to convert and rewrite this measurement in meters in scientific notation.

A scientific notation is written as product of a significant number and exponent of 10's. To find significant number from given 0.000007, we must move decimal point in either right or left direction such that it becomes integral value and in addition we would multiply some exponent of 10's to make its value equivalent to given 0.000007 meters.

Re-writing in scientific notation :-

0.000007 meters

= [tex] \frac{7}{1000000} \;meters [/tex]

= [tex] \frac{7}{10^{6}} \;meters [/tex]

[tex] =7*10^{-6} \;meters [/tex]

So, final answer is 7 x 10⁻⁶ meters.

Bacteria triples every hour. How much bacteria will there be after two days if they started with 13,000 bacteria.

Answers

13,000 • 3 = 1 hour = 39,000
Now we take the one hours worth 39,000 • 48 (hours in two days) = 1,872,000
Hope this helps!

Find the probability that the student is male or a nursing major.

Answers

the correct question is
The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. ​(a) y Find the probability that a randomly selected student is male or a nursing major.

see the attached table

a) the probability that a randomly selected student is​ male, or a nursing major
total students=[1151+2409]=3560
total male=[98+1053]=1151
P (selected student is​ male)=1151/3560=0.3233
total nursing mayor=[98+741]=839
P (selected student is​ nursing major)=839/3560=0.2357
P(selected student is​ male, or a nursing major)=0.3233+0.2357=0.5590

the answer is 0.5590  (55.90%)
Final answer:

The probability that a student is male or a nursing major is expressed by the formula P(M OR N) = P(M) + P(N) - P(M AND N), which requires actual data to calculate.

Explanation:

To find the probability that a student is male or a nursing major, we can use the principle of addition in probabilities. Let's denote P(M) as the probability that a student is male, P(N) as the probability that a student is a nursing major, and P(M AND N) as the probability that a student is both male and a nursing major. The formula for the probability of either event occurring is given by P(M OR N) = P(M) + P(N) - P(M AND N). We need actual data to calculate these probabilities.

Since we don't have the actual probabilities, we can only provide the symbolic representation of the required probability as P(M OR N). However, if the events of being male and majoring in nursing are mutually exclusive (which in reality, they are not), the probability would simplify to just the sum of the two individual probabilities, P(M) + P(N).

Wendy took a trip from one city to another, a distance of 580 mi. she traveled part of the way by bus, which arrived at the train station just in time for wendy to complete her journey by train. the bus averaged 40 mi/h, and the train averaged 80 mi/h. the entire trip took 9 1 2 h. how long did wendy spend on the train?

Answers

If he traveled x mi by bus, then the time taken using bus is x/40 hours
and therefore, she took (580-x) mi by train, thus the time taken with train was (580-x)/80 hours.
Hence, x/40 +(580-x)/80 = 9.5 hours
             80(x/40) +80 (580-x)/80 =  (9.5)80
                = 2x + 580-x = 760
                              x= 760-580
                              x = 180
Thus the train covered a distance of  (580-x) =580-180 = 400
Hence, Wendy took 400/80 = 5 hours on the train

Find all the zeros of x^3-5x^2-x+5

Answers

The fact that the coefficients are pairwise identical (except for sign) tells you that x^2 -1 is a factor (and x-5 is the other factor). Of course, you recognize x^2-1 as a special form (the difference of squares) that is factored as (x +1)(x -1).

The zeros are x = -1, +1, +5.

___
A graphing calculator confirms this.

Alice had 4 1/4 pounds of walnuts at the beginning of the week. At the end of the week, she had 2 3/4 pounds. How much has she used

Answers

4 1/4 is equal to 17/4, and 2 3/4 is equal to 11/4. 17/4 take away 11/4 is 6/4 or 1 1/2
17/4 (4 1/4 as an improper fraction)
11/4 (2 3/4 as an improper fraction)

17/4-11/4=6/4=1 1/2
she used 1 1/2 pounds

Which ordered pair is the best estimate for the solution of the system of equations?

y=−12x+4
y=12x−3


(7.5, 0.5)

(7, 0.5)

(7, 1)

(7, 0)

Answers

The graph shows the solution to be (7, 0.5).

The 2nd selection is appropriate.

Answer:

hope this helps :)

In which of the following cases would you most likely buy a point when closing on a home loan?

Answers

Just took the test its d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years. 

Final answer:

Buying a point during a home loan closing is most likely to make sense if interest rates have fallen, you plan to stay in the home long term, and you have ample cash for upfront costs, as this could result in significant savings over the life of the loan.

Explanation:

When considering the question of whether you would most likely buy a point when closing on a home loan, the main factors to consider are the interest rates and the duration for which you plan to hold the loan. Buying a point refers to paying an upfront fee to lower your mortgage interest rate, which is attractive if you plan to stay in the home for a long period, as the savings on interest payments could outweigh the initial cost. You would be more inclined to buy a point if:

Interest rates in the economy have fallen, and you want to lock in a lower rate for the duration of your loan.

The available cash for upfront costs is sufficient to cover the cost of buying points without detrimentally impacting other financial commitments.

The assessment is that staying in the property for a long duration will allow for greater cumulated savings due to the reduced interest payments over time.

These scenarios are more likely to justify the transaction costs of purchasing a home with an upfront payment to buy points, thus securing a lower interest rate for the mortgage.

What is the sum of the series?

2+4+8+16+...+512




542

766

1022

1084

Answers

the answer is 1,022 .

Answer:

The correct answer is 1,022. Hope this helps.

Source: Just took quiz and got 100%


a/b ∙ b/2a

or a≠0, b≠0

So a/b is a fraction. Then multiply by b/2a.

The a's and the b's aren't equal to zero

Answers

b/3a
a/b*b/2a= ab/2ab or 1/a
1/a*b/2a=b/3a

If the area of the trapezoid is 2.52 cm 2, what is the height? A 0.45 cm B 0.9 cm
C 2.1 cm D 2.2 cm

Answers

0.9 is the correct answer.

Answer:

0.9cm

Step-by-step explanation:

That was the answer on my assignment.

Fractions must have a common denominator in order to subtract them. TrueFalse

Answers

The answer is: True.

 The numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.

 To substract fractions, they must have a common denominator. There is two cases:

 1. When the fractions have the same denominator, you just have to rewrite the denominator and substract the numerators. For example:

 8/3-1/3=(8-1)/3=7/3

 2. When the fractions have different denominators, you must calculate the Least commom multiple (LCM):

 5/2-3/4

 L.C.M.=2²=4

 (10-3)/4=7/4

Answer:

true

 A numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 3 . If there were 2817 no votes, what was the total number of votes?

Answers

the ratio yes:no is 4:3
so if there is 2817 votes in the no
==> (2817*4)/3 = 3756 votes for yes

3756/2817 will be 4/3

which best describes a number that cannot be irrational

Answers

am irrational number is a number that cannot be expressed as a fraction for any integers. numbers of the form,where is the logarithm, are irrational if and are integers, one of which has a prime factor which the other lacks.    is irrational for rational       

Answer:

All numbers that can be made by dividing two integers cannot be irrational.

Step-by-step explanation:

Irrational numbers are real number that cannot be expressed as the quotient between two integers, remember that integers are whole numbers, that is, they don't have a fractional part.

So, all numbers that can be made by dividing two integers cannot be irrational.

For example, number 3/2 is not an irrational number, because it can be expressed as the divison of two integers.

Help me please!!!!!!!!!!!!

Answers

The graph shows that x=1 and x=6 will make the factors be zero. This polynomial has factors (x -1) and (x -6).

The 2nd selection is appropriate.

"there are 362 first-grade students in park elementary school. if there are 34 more girls than boys, how many girls are there"

Answers

There are 198 girls
you subtract 34 from 362 which is 328
you then divide 328 by 2 which is 164
next you add 34 to 164 which gives you 198 which is the number of girls

The sides of a square are 5^2/5. What is the area of the square?

A. 5^4/5 square inches

B. 5^4/25 square inches

C. 25^4/5 square inches

D. 25^4/25 square inches

Answers

1. A square is a figure with four sides that have the same lenght. So, to solve this problem and calculate the area of the square, you must apply the following formula:

 A=(s)(s)
 A=s²

 "A" is the area of the square.

 "s" is the lenght of the side of the square.

 2. So, the lenght of the side given in the problem is 5^2/5 inches (s=5^2/5 inches). Therefore, you only have to substitute this value into the formula A=s².

 3. Then, you obtain:

 A=s²
 A=(5^2/5 inches)²
 A=5^4/5 inches²

 What is the area of the square?

 The answer is: A. 5^4/5 square inches. 

The Mid-Atlantic Ridge is a spreading crack between crack between continental plates and it moves apart at 2.5 cm per year. New York is 5567 km from London. In 1,000,000 years, how many far apart will New York be from London.

Answers

In 1,000,000 years, if the Mid-Atlantic Ridge continues to crack at a constant rate, New York and London will be 5592 km away from each other. I found this out by using the unit rate 2.5 cm per year to find out that in 1 million years it would be 2,500,000 cm. There are 100,000 cm in a kilometer. Therefore 2,500,000 cm is equivalent to 25 km. Add the 25 km to 5567 km to get 5592 km as the distance between the two cities.

1.
Kara, a 25-year-old female, bought a $50,000, 10-year life insurance policy through her employer. Kara is paid semimonthly. How much is deducted from each of her paychecks for life insurance? Use the table.

A. $4.81
B. $5.21
C. $6.25
D. $6.77

2.
Dawson, a 42-year-old male, bought a $180,000, 20-year life insurance policy. What is Dawson's annual premium? Use the table.

A.$819.00
B.$1040.40
C.$1859.40
D.$2462.40

Answers

Answer:

The answer for number one is $5.21. NOT $6.25

Step-by-step explanation:

The amount deducted from the paychecks are: 6.25 dollars

The annual premium of Dawson is D.$2462.40

How to solve for the annual premium

To get Karas annual premium

$1000 of coverage.

$50,000  at 2.50 dollars cost

since she is paid semi monthly

2.50 / 2 = 1.25

annual premium = 1.25 / 100 * 50

= 6.25 dollars

2. Under 20 year coverage for a 40 - 44 year old mail we have $13.68 as the amount

180000 / 1000

= 180

180 x 13.68

= D.$2462.40

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A scientist wants to find the radius, in feet, of this hemispherical dome. He found that the surface area of the entire sphere containing the dome is 294 square feet. Which equation could he use to find the dome's radius?

A. r2=294 square feet ÷ 4π
B. r2=294 square feet ÷ 2π
C. r2=294 square feet ÷ π
D.r2=588 square feet ÷ 4π

Answers

The surface area of a sphere by definition is given by:
 A = 4 * π * r ^ 2
 Where,
 r: radius of the sphere.
 Substituting the values we have:
 294 = 4 * π * r ^ 2
 We cleared the radio:
 r ^ 2 = (294) / (4 * π)
 Answer:
 An equation that I could use to find the dome's radius is:
 A. r2 = 294 square feet ÷ 4π

Answer:

A. r2 = 294 square feet ÷ 4π

Robin's scores: 99, 108, 102, 107, 119 mean = 107; mad = 5.2 evelyn's scores: 125, 137, 138, 145, 145 mean = 138; mad = 5.6 explain what the mean absolute deviation is in general. explain what the mad means in the context of robin and evelyn's data.

Answers

Answer:

The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.

Step-by-step explanation:

Answer:

Sample response:  The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.

                                                       Or

The MAD measures the average distance between a data point and the mean. It measures variation. According to this information, Evelyn's scores varied a little more than Robin's.

Step-by-step explanation:

Took the test on edge! Hope this helps! have a great day!

Cycle paths inc, makes bicycles,tricycles,and unicycles. last week they made 88 more bicycles than unicycles, and 5 times as many tricycles as unicycles. if they made 40 more bicycles than tricycles, how many unicycles did they make

Answers

Let's name variables:
 x = bicycles
 y = tricycles
 z = unicycles
 We write the following system of equations:
 x = 88 + z
 y = 5z
 x = 40 + y
 We solve the equation system for z:
 1) x = 40 + y
 2) y = 5z
 3) x = 88 + z
 Substituting x and y in equation 1:
 88 + z = 40 + 5z
 We cleared z:
 4z = 88-40
 z = 48/4
 z = 12
 Answer:
 They did make 12 unicycles

3.6m by 1.8 m wall How many 6 cm by 6 cm pictures could fit on the wall?

Answers

(3.6*100)/6=60
(1.8*100)/6=30
60*30=1800
there are 1800 pictures could fit on the wall.

Answer:

1800 pictures could fit on the wall.

Step-by-step explanation:

If the area of a space is given as A and this space is to be filled by pictures of area A' then number of pictures will be = [tex]\frac{A}{A'}[/tex]

Now we know area of wall is A and area of picture is A'.

Length and width of wall = 3.6×1.8 m

So area of the wall A = 3.6×1.8 = 6.48 m²

Dimensions of one picture = 6×6 cm Or 0.06×0.06 m

So are of one picture A' = 0.0036 m²

Therefore, Number of pictures on the wall = [tex]\frac{A}{A'}[/tex] = [tex]\frac{6.48}{0.0036}=1800[/tex]

Number of pictures required to cover the wall = 1800

Vicente wants to plant 3 different types of onions in 1/4 of his garden. He will use an equal amount of space to pkant each ytpe of onion. what fraction of the total garden space will contain each type of onion

Answers

He has 1/4 of his garden to plant 3 types of onions equally in that space. Divide 1/4 by 3.

= 1/4 ÷ 3
when dividing fractions, multiply by reciprocal/inverse

= 1/4 ÷ 3/1
= 1/4 * 1/3
= (1*1)/(4*3)
= 1/12

He has 1/12 of his garden for each type of onion.

Hope this helps! :)

Write an equation in point-slope form of the line having the given slope that contains the given point. m=56m=56m (30,12)

Answers

Point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where the point [tex]P(x_1,y_1)[/tex] lies on the graph and m is the slope of the graph.

We have a point (30, 12) and a slope of 56.

So we write [tex]y-12=56(x-30)[/tex]. And we're done.

You sell bracelets for $2 each and necklaces for $3 each at a local flea market. You collect. $95, selling a total of 37 jewelry items. How many of each type of jewelry did you sell?

Answers

16 bracelets. 21 necklaces.
Write a system of equation based on the problem
For an instance, b stands for the number of bracelets, n stands for the number of necklaces.
⇒ Total collected money is $95, $2 per bracelet, $3 per necklace
     2b + 3n = 95  (first equation)
⇒ 37 jewelry items have been sold
    b + n = 37

Find the number of necklaces (n) by eliminating the number of bracelets (b) from the equation system
2b + 3n = 95
  b +   n = 37     (multiply by 2)
----------------------------------------
2b + 3n = 95
2b + 2n = 74
---------------- - (substract)
          n = 21

Find the number of bracelets by substituting the value of n to either of the equations
b + n = 37
b + 21 = 37
b = 37 - 21
b = 16

Type of jewelry have been sold: 16 bracelets, 21 necklaces

Five times what number plus 10 equals 20?
A) -6
B) 2
C) 4
D) 6

Answers

Answer:

2

Step-by-step explanation:

Five times 2 plus 10 will be equal to 20. Hence, option B is correct.

What is an arithmetic operation?

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the data provided in the question,

The equation according to the statement will be,

Let the number be x.

5x + 10 = 20

5x = 20 - 10

x = 10/5

x = 2

Therefore, the number is 2.

To know more about arithmetic operations:

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Jennifer had $30 to spend on herself. She spent 1\5 of the money on a sandwich, 1\6 for a ticket to a musuem, and 1\2 of it on a book. How much money does she have left over?

Answers

convert the fractions to decimals. make (1/5) .2% etc, then do that for all to get real numbers and subtract from the $30. for example, she spent 50% on a book, or 30(.5)=15. she spent $15 on a book alone, do that for each item.
Sandwich- 6
Ticket- 5
Book- 15

6+5+15 = 26
30-26 = 4

Answer = $4

I need the answer to the blank questions

Answers

we have that
n 12 part a)
actual distance-------------> 124 miles
map distance----------------> 4 cms
scale factor of the map =124 miles/4 cms=31 miles/cm

n 12 part b) 
map distance=21 cms
actual distance?
[actual distance]=[map distance]*factor scale-----------> 21*(31)=651 miles

n 13) 
we know that
(13.5/9)=(x/8)--------------> x=(13.5/9)*8-----------> x=12 units

n14)
we have that
x/26=(32-x)/18-----------> 18x=832-26x--------> x=18.91 units


-(-(-)(-)(-10x))=-5 solve for x

Answers

-(-(-)(-)(-10x)) = -5

We need to cancel out the negatives, so we need to simplify this.

To make things a bit easier for you, we can begin by counting out how many negatives we have. After counting, you should have a negative number count of 5. However, one of the negatives is apart of (-10x) so we'll have 4 negatives and then an extra negative in with 10x.

Remember that "-" could also be looked at as "-1."

So, if we break this down into smaller parts and substitute "-" into "-1," then this'll look like this :

-1 × -1 × -1 × -1 × (-10x) = -5

Remember that a negative times a negative is always a positive.

So, since there are four negatives, then you just multiply it all together.

This results in 1 × (-10x) = -5

Simplify.

-10x = -5

Now, you simply divide both sides by -10.

-10x ÷ -10 = -5 ÷ -10

Simplify.

x = 1/2

~Hope I helped!~


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