0.5 as an fraction plz
Answers
Answer:
1/2
Step-by-step explanation:
0.5 = 5/10 = 1/2
Related Questions
Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $\frac{21}{4}$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
Answers
The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."
According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.
The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:
Sum = (n/2)(first term + last term)
In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:
Sum = (7/2)(x + (x + 6))
Simplifying the equation:
(7/2)(2x + 6) = (21/4)(x + 6)
Multiplying both sides by 4 to eliminate the fractions:
14x + 42 = 21x + 126
Subtracting 14x from both sides:
42 = 7x + 126
Subtracting 126 from both sides:
-84 = 7x
Dividing both sides by 7:
-12 = x.
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A small community organization consists of 20 families, ofwhich 4 have one child, 8 have two children, 5 have three children,2 have four children, and 1 has five children.
(a) If one of these families is chosen at random, what is theprobability it has i children, i = 1,2,3,4,5?
(b) If one of the children is randomly chosen, what is theprobability this child comes from a family having i children, i =1,2,3,4,5?
Answers
The probability that a randomly chosen family has five children is 1/20.The probability that a randomly chosen child comes from a family with two children 1/3.
(a) To find the probability that a randomly chosen family has i children, we divide the number of families with is children by the total number of families in the community organization. Similarly, the probability that a randomly chosen family has three children is
5/20 = 1/4, the probability that a randomly chosen family has four children is
2/20 = 1/10, and the probability that a randomly chosen family has five children is 1/20.
(b) To find the probability that a randomly chosen child comes from a family having i children, we divide the number of children in families with i children by the total number of children in the community organization. The total number of children in the community organization is
4 + 16 + 15 + 8 + 5 = 48 children
Hence, the probability that a randomly chosen child comes from a family with one child is
4/48 = 1/12
The probability that a randomly chosen child comes from a family with two children is 16/48 = 1/3, and so on.
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PLEASE HELP
The table of values represents an exponential function.
What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO
Answers
The y-coordinate of -3f(x-1) when x = 0 is -63
What is the y-coordinate of -3f(x-1) when x = 0From the question, we have the following parameters that can be used in our computation:
The table of values
So, we have
-3f(x - 1)
When x = 0, we have
y = -3f(0 - 1)
This gives
y = -3f(-1)
From the table, we have
y = -3 * 21
Evaluate
y = -63
Hence, the y-coordinate is -63
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A company was formed with $61,100 cash contributed by its owners in exchange for common stock. The company borrowed $31,100 from a bank. The company purchased $11,100 of inventory and paid cash for it. The company also purchased $71,100 of equipment by paying $10,000 in cash and issuing a note for the remainder.
What is the amount of the total liabilities to be reported on the balance sheet?
Answers
The amount of total liabilities to be reported on the balance sheet is $92,200.
What are the liabilities?
In accounting and finance, liabilities refer to the amounts that a company owes to others, such as creditors, suppliers, employees, and lenders. Liabilities can be both short-term and long-term, and they are considered to be a company's obligations that must be paid back in the future.
The total liabilities of the company can be calculated by adding up the amounts that it owes to others.
From the information given in the problem, the company borrowed $31,100 from a bank, and it also issued a note for the remaining amount ($71,100 - $10,000 = $61,100) it owed for the equipment, so it owes a total of $31,100 + $61,100 = $92,200 to creditors.
Therefore, the amount of total liabilities to be reported on the balance sheet is $92,200.
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MARKING AS BRAINLIEST!!!
Answers
the answer is -2, 5 xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
You earn $17.50/hr and work 40 hr/wk. Your deductions are FICA (7.65%), federal tax withholding (12.3%), and state tax withholding (6.2%). Your housing and fixed expenses are 30% of your realized income per month. You want to save 5 months' worth in an emergency fund within a year. How much do you need to save per month to fund the emergency fund, and how much discretionary money remains per month?
Answers
The amount that you need to save per month to fund the emergency fund would be $ 861. 58.
The discretionary money left per month would be $ 585. 88.
How to find the amount to save ?The gross income for the month :
= 17. 50 x 40 per week x 4 weeks a month
= $ 2, 800
The amount left which is realized funds for the month is:
= Gross income - FICA + Federal tax withholding + State tax withholding
= 2, 800 x ( 1 - 26. 15 %)
= $ 2, 067. 80
Five months of realized income for the emergency fund is:
= 2, 067. 80 x 5
= $ 10, 339
The amount to save per month is:
= 10, 339 / 12
= $ 861. 58
The amount left per month for discretionary expenses ;
= 2, 067. 80 - 861. 58 - 620. 24 rent
= $ 585. 88
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Suzanne owns a small business that employs 555 other people. Suzanne makes \$100{,}000$100,000dollar sign, 100, comma, 000 per year, and the other 555 employees make between \$40{,}000$40,000dollar sign, 40, comma, 000 and \$50{,}000$50,000dollar sign, 50, comma, 000 per year.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48, 100. The dot above 100 is shaded purple.
Suzanne decides to leave the company and keep the other 555 salaries the same.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48.
How will removing Suzanne's salary from the data set affect the mean and median?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The mean will decrease and the median will increase.
(Choice B)
B
The median will decrease and the mean will increase.
(Choice C)
C
Both the mean and median will decrease, but the median will decrease more than the mean.
(Choice D)
D
Both the mean and median will decrease, but the mean will decrease more than the median.
Answers
Answer:
d
Step-by-step explanation:
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answers
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
Bryan invests $6500 in two different accounts. The first account paid 11 %, the second account paid 7 % in interest. At the end of the first year he had earned $519 in interest. How much was in each account?
$ at 11 %
$ at 7 %
Answers
Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.
The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).
According to the problem, the total interest earned after one year is $519. So we can set up the equation:
0.11x + 0.07(6500 - x) = 519
Simplifying the equation:
0.11x + 455 - 0.07x = 519
0.04x + 455 = 519
0.04x = 64
x = 64 / 0.04
x = 1600
Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
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The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.
Which of the following is the best measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
Answers
The range is the best measure of variability for this data, and its value is 4.
Which of the following is the best measure of variability for the data, and what is its value?The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).
The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:
Range = Maximum value - Minimum value = 4 - 0 = 4
Therefore, the range is the best measure of variability for this data, and its value is 4.
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Please can someone help there 10 Points for it!!!!
Answers
Answer:
a) The missing terms are 9, 13, 21 and 25.
b) If we know that \(n_{1} = 9\) and \(r = 4\), then the n-th term of the sequence is represented by \(n_{n} = 9 +4\cdot (n-1)\).
Step-by-step explanation:
a) Given that elements of the sequence are found by increasing by the same amount, we infer that elements are part of an arithmetical progression. The rate of progression is now determined:
\(3\cdot r = 29-17\)
\(3\cdot r = 12\)
\(r = 4\)
The missing terms are:
\(n_{1} = 17 - 2\cdot (4)\)
\(n_{1} = 9\)
\(n_{2} = 17 - 4\)
\(n_{2} = 13\)
\(n_{4} = 17 +4\)
\(n_{4} = 21\)
\(n_{5} = 17 + 2\cdot (4)\)
\(n_{5} = 25\)
The missing terms are 9, 13, 21 and 25.
b) The formula for the arithmetical progression is represented by the following formula:
\(n_{n} = n_{1} + r\cdot (n-1)\) (1)
Where:
\(n_{1}\) - First element of the sequence.
\(n\) - Indicator associated with the element of the sequence.
\(r\) - Progression rate.
If we know that \(n_{1} = 9\) and \(r = 4\), then the n-th term of the sequence is represented by \(n_{n} = 9 +4\cdot (n-1)\).
MATH HELP NEEDED PLEASE
Answers
Answer:
+2, +9, +24.
Step-by-step explanation:
What is the product of all values of b that satisfy (b-2)(b-8) +4= 0 ?
A) 10
B) 12
C) 16
D) 20
Answers
Answer:
D
Step-by-step explanation:
(b-2)(b-8)+4=0
b^2-10b+16+4=0
b^2-10b+20=0
Product of roots is given by c/a=20. So the answer is 20
#10) Mrs. Sommer states that angle I is 65 degrees. Is she correct? why or why not
Answers
Answer: Mrs. Somner is correct.
Step-by-step explanation: In a triangle, the angles add up to 180 degrees. Since we know that Triangle ABC is equal to Triangle RST, we can assume that their angle values are equal as well. Angle A is 41 degrees, and Angle B is 74 degrees. This adds up to 115 degrees. If we subtract 115 from 180, we get 65. Therefore, Mrs. Somner is correct.
In which number is the digit 8 ten times larger than it is in the number 18?
Answers
Answer:
387 contains 80 and 8 x 10 = 80
4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Answers
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
What is the value of y when x= 5?
Answers
Answer:7
Step-by-step explanation:7
X+Y=12
5+Y=12
Y=12-5
Y=7
The value of Y is 7
What is 1/4 of 1/2 ................................
Answers
Answer:
1/8
Step-by-step explanation:
'Of' means that you have to multiply, so you would have 1/4 • 1/2.
1/4 • 1/2 = 1/8
1/4 of 1/2 is fraction 1/8.
What is Number system?A number system is defined as a system of writing to express numbers.
We have to find the value of 1/4 of 1/2
In the question of in the sense multiplication.
Multiplication is a method of finding the product of two or more numbers
1/4×1/2
One by four times of one by two
1/8
Hence, 1/4 of 1/2 is fraction 1/8.
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Paul travelled from the US to France when the exchange rate was €0.78 = $1.
He saw a mobile phone in a shop in Paris for €187.
The same mobile phone cost $254 in New York.
Where should Paul buy the mobile phone?
Show your working and check your answer.
Answers
and the phone in the New York $254x0.78 =€192.12
So he should buy the phone in Paris
The work would be
$254x0.78=€192.12
Same set up as the problem to the left. Fill in the blanks.
Answers
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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This simple question does not require any statistical calculations, only statistical knowledge. The showerhead heights at a men’s athletic locker room were designed to be 72 inches which is well above the mean height of 69.5”. The heights of the athletes are normally distributed. From the choices listed below, which is more likely to be true: a, b or c?
a.The mean height for a randomly selected sample of 20 players is more than 72 inches.
b.The height of one randomly selected player is more than 72 inches.
c.Both a and b are equally likely.
Why? (Justify your answer with a short answer.)
Answers
That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.
Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.
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what is 62.8 divided by 4
Answers
Answer:
15.7
Step-by-step explanation:
use a calculator lol
62.8 divided by 4 would equal 15.7
Step by Step Solution
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "62.8" was replaced by "(628/10)".
STEP
1
:
314
Simplify ———
5
Equation at the end of step
1
:
314
——— ÷ 4
5
STEP
2
:
314
Divide ——— by 4
5
Final result :
157
——— = 15.70000
10
the shaded area is 39 what is x? please show full workings
Answers
Answer:
x = 4
Step-by-step explanation:
white area: (x+1)(x-2) = x^2-2x+x-2 = x^2-x-2
total area: (2x-1)(x+3) = 2x^2+6x-x-3 = 2x^2+5x-3
expression of shaded area
2x^2+5x-3 -(x^2-x-2) =39
2x^2 + 5x -3 -x^2+x+2 -39 = 0
x^2 + 6x - 40 = 0
(x+10)(x-4) = 0
x = -10 (not acceptable because a length is positive)
x = 4
The value of x is equal to 4
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides
Given here are the area of the shaded region as 39 square units and the dimensions for the unshaded region as x-2, and x+1 . And dimensions for the outer bounding region as 2x-1 and x+3
Thus (2x-1 ) × (x+3 ) - (x-2 ) × (x+1) = 39
2x² + 6x - x -3 - x²-x+2x +2 =39
x² + 6x - 40 = 0
(x-4) (x+10) = 0
Thus x = 4 or -10 but x cannot be negative as it represents length.
Hence the value of x=4
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A recipe for 1 batch of muffins calls for 3/4 cups of almond milk. Rose has 6 cups of almond milk. How many batches of muffins could she make
Answers
Answer:
8
Step-by-step explanation:
3/4 cup leaves 1/4 cup from each cup
1/4+1/4+1/4=3/4
so it would be 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4=8 cups
What is the percentage equivalent to 16 over 40?
Answers
Answer:
16/40 = 40%
Step-by-step explanation:
I divided 16/40 and got 0.4,
To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.
Which statement is true regarding the functions on the graph
Answers
Answer:
second one
Step-by-step explanation:
f(3)=g(3)=6
Complete each statement. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write Can not be Determined (CNBD) in the spot for rule.
By rule ________ ∆SAT ≅ Δ____ By rule ________
Answers
The completed statement that specifies the rule of congruency between triangle ΔSAT and triangle ΔSAO, is as follows;
ΔSAT ≅ ΔSAO by SAA rule.
What are congruent triangles?Two triangles, ΔA and ΔB are congruent if the three lengths of the sides of triangle ΔA are congruent to the three side lengths of triangle ΔB.
The possible dimensions of the triangles, obtained from the triangle diagrams in a similar question on the site are;
Side ST in triangle ΔSAT is congruent to side SO in triangle ΔSAO
Angle ∠AST in triangle ΔSAT is congruent to angle ∠ASO in triangle ΔSAO
Side SA is congruent to side SA by reflexive property of congruency
Therefore, a side, (ST) an included angle (∠AST) and another side (SA), in triangle ΔSAT are congruent to a side (SO), an included angle (∠ASO), and another side SA in triangle ΔSAO
Therefore, triangle ΔSAT is congruent to triangle ΔASO, by Side-Angle-Side, SAS, congruency ruleLearn more about the triangle congruency rules here:
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Tomas ran a mile in 8 minutes.at this rate how many minutes did it take him to run 3/4 mile
Answers
Answer:
2 min i think
Step-by-step explanation:
Answer:
6 minutes
Step-by-step explanation:
1 mile = 8 minutes
8 minutes ÷ 4 ( 3/(4)) = 2
They're asking for 3/4 of the mile so,
2 x 3 = 6.
Hope this helps!
Sandra owns a rectangular pice of farmland that is 2/3 miles wide and has an area 5/9 square mile what is the leght of sandras farmalnd
Answers
Answer:
5/6 mile
Step-by-step explanation:
The formula for the area of a rectangle can be used with the given values to write an equation for the length of the farmland.
__
Here is the equation for the area of a rectangle.
A = LW . . . . . area is the product of length and width
When we fill in the area and width, we have ...
5/9 mi² = L(2/3 mi) . . . . . equation for the length of the farmland
Solving this equation gives ...
L = (5/9)/(2/3) mi . . . . . . . . divide by the coefficient of L
L = (5/9)/(6/9) mi = 5/6 mi . . . . . perform the division
The length of Sandra's farmland is 5/6 mile.
A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answers
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy