The number 1/2 is a rational number and the number 9/3 is an integer rational number.
What is a rational number?They are referred to as rational numbers if the value of a numerical expression terminates, in which case they are a rational number, and as irrational numbers if the value of the expression does not terminate.
The numbers are given below.
1/2 and 9/3
The fraction numbers are converted into decimal numbers. Then we have
1/2 = 0.5
9/3 = 3
The number 1/2 is a rational number and the number 9/3 is an integer rational number.
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Write the following phrase as an algebraic expression. Use x for the unknown number.
The sum of -8 and five times a number.
that is the solution and just writing so you can have the answer
maria's age is 3 years more than twice george's age.Which expression represents george's age in term of maria's?
Answer:
m-3 = g
2
OR
(m-3) ÷ 2 = g
Step-by-step explanation:
m = Maria
g = George
m = 2g + 3
We need g by itself
Since it is + 3 we can get rid it by doing -3 on both sides to end up with:
m-3=2g
To get rid of 2 we divide on both sides to end up with:
m-3 = g
2
OR
(m-3) ÷ 2 = g
What is the domain for the function graphed below?
Harris Company manufactures and sells a single product. A partially completed schedule of the company’s total costs and costs per unit over the relevant range of 60,000 to 100,000 units is given below: Required: 1. Complete the schedule of the company’s total costs and costs per unit as given in the relevant tab below. 2. Assume that the company produces and sells 90,000 units during the year at a selling price of $9.88 per unit. Prepare a contribution format income statement for the year.
1. The completion of the schedule of Harris Company's total costs and costs per unit is as follows:
Schedule of Total Costs and Costs Per Unit:Units Produced and Sold
60,000 80,000 100,000
Total costs:
Variable costs $138,000 $184,000 $230,000
Fixed costs 340,000 340,000 340,000
Total costs $478,000 $524,000 $570,000
Cost per unit:
Variable cost $2.30 $2.30 $2.30
Fixed cost $5.67 $4.25 $3.40
Total cost per unit $7.97 $6.55 $5.70
2. The contribution-format income statement of Harris Company for the year is as follows:
Harris Company
Contribution-format Income StatementFor the year
Sales Revenue $889,200
Cost of goods sold 207,000
Contribution margin $682,200
Fixed costs 340,000
Net income $342,200
Data and Calculations:Units Produced and Sold
60,000 80,000 100,000
Total costs:
Variable costs $138,000 $184,000 $230,000
Fixed costs 340,000 340,000 340,000
Total costs $478,000 $524,000 $570,000
Cost per unit:
Variable cost $2.30 $2.30 $2.30
Fixed cost $5.67 $4.25 $3.40
Total cost per unit $7.97 $6.55 $5.70
Sales revenue = $899,200 ($9.88 x 90,000)
Cost of goods sold = $207,000 ($2.30 x 90,000)
Thus, based on a production and sales unit of 90,000 at $9.88 per unit, the net income for the year, using the contribution format, is $342,200.
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Question Completion:Units Produced and Sold
60,000 80,000 100,000
Total costs:
Variable costs $138,000
Fixed costs 340,000
Total costs $478,000
Cost per unit:
Variable cost $
Fixed cost $
Total cost per unit $
video games are rated according to the content. the average age of a gamer is 35 years old. in 2015, 15.5% of the video games were rated mature. choose 5 purchased games at random find the probability that a. none of the 5 were rated mature and b. at least 1 of the 5 was rated mature
The probability that none of the 5 were rated mature is 0.4308.
The probability that at least 1 of the 5 was rated mature is 0.5692.
How to calculate the probability?Based on the information given, it should be noted that this is a binomial distribution.
n = 5
p = 0.155
q = 1 - p = 0.845
The probability that none of the 5 were rated mature will be:
= 5C0 (0.845)^5(0.155)^0
= 0.4308
The probability that at least 1 of the 5 was rated mature will be:
= 1 - 0.4308
= 0.5692.
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A survey asks 100 students whether they prefer a new music center or a new computer center. Of the 49 males surveyed, 30 prefer a music center. A total of 44 students prefer a computer center. Which two-way table represents the results of the survey?
https://brainly.com/question/16148316Based on the given information option D i.e. fourth two-way table represents the results of the survey .
A two way table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.
A two-way table is a way to organise data about two specific variables. This example shows a two-way table where the variables are gender and favourite sport. The table holds a lot of information.
Making two way tables
Step 1: Identify the variables.
Step 2: Determine the possible values of each variable.
Step 3: Set up the table.
Step 4: Fill in the frequencies.
On the basis of the given question
Total males = 49 , in which 30 prefer a music center and rest of the males (19) prefer computer center.
Total students = 100 , in which 44 students prefer a computer center and rest of the students (56) prefer music center.
There is no data given for females .
Therefore , on the provided data, option D, or the fourth two-way table, depicts the survey results.
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Based on the given information option D i.e. fourth two-way table represents the results of the survey .
When displaying frequencies or relative frequencies for two categorical variables, a two-way table is used. Columns indicate the second category, whereas rows represent the first.
Data regarding two particular variables can be organized using a two-way table. The variables in this example's two-way table are gender and preferred sport. There is a lot of information in the table.
Creating round tables
First, determine the variables.
Step 2: Establish the range of possibilities for each variable.
3. Position the table.
Fill in the frequencies in Step 4.
Using the posed query as a guide
Total number of guys is 49, of which 30 prefer a music center and the remaining 19 a computer center.
100 pupils total, of whom 44 chose a computer center and the remaining (56 kids) a music center.
There is no information provided for women.
As a result, option D, or the fourth two-way table, shows the survey results based on the data provided.
Solve the equation. Round answers to the nearest hundredth when necessary. 4x^2 = 100
A.+0.2
B.+5
C.+12.5
D.+10
Genesis wants to ride her bicycle 42.8 miles this week. She has already ridden 5
miles. If she rides for 6 more days, which tape diagram could be used to represent the
context if m represents the aaverage number of miles she would have to ride to meet
her goal?
m is the average number of miles which is 4.3 miles
Total miles Genesis travel in a week is 42.8 miles.
Here we have to find m which is the average number of miles she would travel.
She ride for 6 more days and had already traveled 5 miles.
From the above question, we have an equation
5 + 6m = 42.8
6m = 37.8
m = 6.3
Therefore m is 6.3 which is the average number of miles Genesis will ride to meet her goal.
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Solve the system of equations.
x - 2y- z = -6
-x+6y-3z = 18
2x−11y+5z = -33
1. Let's solve for x.
x−2y−z=−6
Step 1: Add 2y to both sides.
x−2y−z+2y=−6+2y
x−z=2y−6
Step 2: Add z to both sides.
x−z+z=2y−6+z
x=2y+z−6
Let's solve for y.
x−2y−z=−6
Step 1: Add -x to both sides.
x−2y−z+−x=−6+−x
−2y−z=−x−6
Step 2: Add z to both sides.
−2y−z+z=−x−6+z
−2y=−x+z−6
Step 3: Divide both sides by -2.
−2y
−2
=
−x+z−6
−2
y=
1
2
x+
−1
2
z+3
Let's solve for z.
x−2y−z=−6
Step 1: Add -x to both sides.
x−2y−z+−x=−6+−x
−2y−z=−x−6
Step 2: Add 2y to both sides.
−2y−z+2y=−x−6+2y
−z=−x+2y−6
Step 3: Divide both sides by -1.
−z
−1
=
−x+2y−6
−1
z=x−2y+6
2.Let's solve for x.
−x+6y−3z=18
Step 1: Add -6y to both sides.
−x+6y−3z+−6y=18+−6y
−x−3z=−6y+18
Step 2: Add 3z to both sides.
−x−3z+3z=−6y+18+3z
−x=−6y+3z+18
Step 3: Divide both sides by -1.
−x
−1
=
−6y+3z+18
−1
x=6y−3z−18
Let's solve for y.
−x+6y−3z=18
Step 1: Add x to both sides.
−x+6y−3z+x=18+x
6y−3z=x+18
Step 2: Add 3z to both sides.
6y−3z+3z=x+18+3z
6y=x+3z+18
Step 3: Divide both sides by 6.
6y
6
=
x+3z+18
6
y=
1
6
x+
1
2
z+3
Let's solve for z.
−x+6y−3z=18
Step 1: Add x to both sides.
−x+6y−3z+x=18+x
6y−3z=x+18
Step 2: Add -6y to both sides.
6y−3z+−6y=x+18+−6y
−3z=x−6y+18
Step 3: Divide both sides by -3.
−3z
−3
=
x−6y+18
−3
z=
−1
3
x+2y−6
Let's solve for x.
2x−11y+5z=−33
Step 1: Add 11y to both sides.
2x−11y+5z+11y=−33+11y
2x+5z=11y−33
Step 2: Add -5z to both sides.
2x+5z+−5z=11y−33+−5z
2x=11y−5z−33
Step 3: Divide both sides by 2.
2x
2
=
11y−5z−33
2
x=
11
2
y+
−5
2
z+
−33
2
Let's solve for y.
2x−11y+5z=−33
Step 1: Add -2x to both sides.
2x−11y+5z+−2x=−33+−2x
−11y+5z=−2x−33
Step 2: Add -5z to both sides.
−11y+5z+−5z=−2x−33+−5z
−11y=−2x−5z−33
Step 3: Divide both sides by -11.
−11y
−11
=
−2x−5z−33
−11
y=
2
11
x+
5
11
z+3
Let's solve for z.
2x−11y+5z=−33
Step 1: Add -2x to both sides.
2x−11y+5z+−2x=−33+−2x
−11y+5z=−2x−33
Step 2: Add 11y to both sides.
−11y+5z+11y=−2x−33+11y
5z=−2x+11y−33
Step 3: Divide both sides by 5.
5z
5
=
−2x+11y−33
5
z=
−2
5
x+
11
5
y+
−33
5
the spaces r meant to be fractions
A construction company will be penalized each day of delay in construction for bridge. The penalty will be $4000 for the first day and will increase by $1000 for each following day. Let f(n) be the amount penalized for the nth day. How much will the company owe if they are delayed 12 days?
Answer:
15,000 total, 4000 day 1, then 1000 for day 2 thru 12.
find the measures of the labeled angels!
three answers !!!
please help me!
Answer:
3x = 54 !
Step-by-step explanation:
3x = (72 - x)
Solve for x.
x = 18
Plug it in.
3(18) = 54 degrees
Hope this helps! Xx
write the numerical number for the sum of one and two divided by twenty
The solution of the sum of one and two divided by twenty is 1.05.
It is required to find the solution.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
According to given question we have,
Add the first and the last number i.e. 1+20=21
Now, divide the number by 20 i.e.
=21/20=1.05
Therefore, the solution of the sum of one and two divided by twenty is 1.05.
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Write the sentence as an inequality. Six is less than or equal to the sum of a number n and 3 1/4 . Inequality: Question 2 b. Solve the inequality. Inequality:
Answer:
Step-by-step explanation:
[tex]6\leq n+3\frac{1}{4}[/tex]
Solution:
[tex]n+\frac{13}{4} \geq 6[/tex]
[tex]n\geq 6-\frac{13}{4}[/tex]
[tex]n\geq \frac{24}{4} -\frac{13}{4}[/tex]
[tex]n\geq \frac{11}{4}[/tex]
Hope this helps
The inequality mentioned in the sentence is [tex]6\leq n +3\frac{1}{4}[/tex].
What is Inequality?In mathematics, an inequality depicts the connection between two non-equal values in an algebraic expression. Inequality signs can indicate that one of the two variables is larger than, greater than or equal to, less than, or smaller than or equal to another value.
According to the given, question, Six is less than or equal to the total of n + 3 1/4. So, inequality is solved as follows:-
[tex]6\leq n +3\frac{1}{4}\\n +13/4\geq 6\\n\geq 6-13/4\\n\geq 24/4-13/4\\n\geq 11/4[/tex]
Therefore, the sentence's mentioned inequality is [tex]6\leq n +3\frac{1}{4}[/tex] and solution to the equation is [tex]n\geq 11/4[/tex].
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Original: 26 ; new amount: 18
That means 8 has been subtracted from the original amount to get at the new one
Karla will select 2 different side dishes from the following list at a restaurant.
French Fries
Salad
Onion rings
Beans
On your recording sheet, draw a tree diagram that shows all the possible outcomes of 2 different side dishes from this list.
Below, enter how many total combinations there are from choosing 2 different side dishes.
The required total combinations there from choosing 2 different side dishes is 12.
What are permutation and combination?
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
French fries
Salad Onion rings Beans
Number of combinations = 3
Beans
Salad Onion rings French fries
Number of combinations = 3
Salad
Beans Onion rings French fries
Number of combinations = 3
Onion rings
Beans Salad French fries
Number of combinations = 3
Total number of combinations = 12
Thus, the required total combinations there are from choosing 2 different side dishes is 12.
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what the name two points that determine line AC
The median for the given set of six ordered data values is 27.5.
5 12 23 41 51
What is the missing value?
For the given median 27.5, the missing value of the sequence is 32.
What is the Median?The middle value in a collection of numbers is known as the median. The numbers must first be sorted, or ordered, in value order from lowest to highest or highest to lowest in order to find the median value in a series of integers.
Given the values are -
Let the given value = x
5, 12, 23, 41, 51, x
The median of number is sum of 2 middles numbers divided by 2
median = (3 term + 4 term) / 2
27.5 = (23 + x) / 2
55 - 23 = x
x = 32
The missing value for the given sequence is 32.
The complete sequence is -
5, 12, 23, 32, 41, 51
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What is the difference between 4.53 and 3.21
Answer:
1.32
Step-by-step explanation:
4.53
- 3.21
= 1.32
Answer:
4.53 - 3.21 = 1.32
Hope this helps :)
Step-by-step explanation:
1.32 + 3.21 = 4.53 ✓
Which graph represents the solution set for p + 3.6 > −5.8?
number line with open circle on point negative 9.4 and arrow shaded to the left
number line with open circle on point negative 9.4 and arrow shaded to the right
number line with open circle on point negative 2.2 and arrow shaded to the left
number line with open circle on point negative 2.2 and arrow shaded to the right
The solution to the inequality p + 3.6 > −5.8 is p ∈ (-9.4, ∞) the number line (B) represents the solution set to the inequality.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The inequality is:
p + 3.6 > −5.8
After simplification:
p > -5.8 - 3.6
p > -9.4
The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.
After plotting on the number line:
p ∈ (-9.4, ∞)
Thus, the solution to the inequality p + 3.6 > −5.8 is p ∈ (-9.4, ∞) the number line (B) represents the solution set to the inequality.
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Answer: A, I think,
Step-by-step explanation: I'm pretty sure its A because everyone said it's not B and I did the math to get - 9.4. Please let me know if I was wrong on this.
Hope this helps!
Find the 8th term of the geometric sequence 10, -40, 160, ...
The 8th term of the given geometric sequence is -163840;
Given sequence 10, -40, 160,..... is a geometric progression;
Here, a = 10; r = -4;
The nth term of a geometric progression is given by aₙ = a(rⁿ⁻¹);
Therefore;
a₈ = 10(-4)⁸⁻¹ = 10(-4)⁷ = -163840;
A sort of sequence known as geometric progression (GP) is one in which each following phrase is created by multiplying each preceding term by a fixed number, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers.
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In the number 98.48, what will you multiply by to get rid of the decimal?
Answer:
100
Step-by-step explanation:
We multiply by 100 because we need to move the decimal 2 places to get rid of it
I know this because 98.48*100=9848
Karen has a red ribbon that is 18 feet long and a blue ribbon that is 12 feet long.
She wants to cut both ribbons into pieces that are all the same length, and she wants to have no ribbon left over when she is done.
What is the greatest length, in feet, of each piece of ribbon that she can cut?
Answer: 6
Step-by-step explanation: 6 goes into 12 twice with none left over, and 6 goes into 18 3 times with none left over.
HELP 40 POINTSS!! Use the following figure to answer BOTH parts the question.
a) Describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.
b) Write an ordered-pair rule for each transformation in the sequence.
This questions have been solved in three steps showing the sequence of transformation that maps ∆ABC to ∆A''B''C''.
As per the question statement, we are supposed to describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.
Before solving the question, we need to know about the coordinates of vertices of ∆ABC , which is as follows:
[tex]A(-5,3)[/tex] , [tex]B(-2,3)[/tex] and [tex]C(-4,1)[/tex]
Now coordinates of vertices of ∆A''B''C'' are as follows:
[tex]A"(8,-2)[/tex] , [tex]B"(5,-2)[/tex] and [tex]C"(7,0)[/tex]
Step 1: Shifting the ∆ABC four units vertically down so that the edge [tex]AB[/tex] lies on the [tex]x-axis[/tex]
Step 2: Shifting the ∆ABC ten units in horizontally right direction.
Step 3: Inverting the ∆ABC by [tex]180[/tex]° on the same axis
Step 4: Rotating the ∆ABC by [tex]180[/tex]° hence the new ∆A''B''C'' is mapped.
This question is a classic example to practice the coordinate geometry.
Sequence of transformations: A series of transformations or a composition of transformations is what results when two or more transformations are joined to create a new transformation.Coordinate geometry: By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra.
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What’s 55580.5 to 2 significant figures
55580.5 to 2 significant figures is 56,000.
What is the two significant figure?The given figure is 55,580.5 where:
5 = tenth figure 0 = unit 8 = ten5 = hundred 5 = thousand5 = ten thousandTo round to 2 significant figures, we would round off to the nearest thousand. This is because ten thousand is the second digit in the figure.
To round off to 2 significant figures, if the hundred digit is equal or greater than 5, add one to the thousand digit and all the other digits after the thousand digit would become zero. If the hundred digit is less than 5, no number is added to the thousand digit and all the other digits after the thousand digit would become zero.
55580.5 becomes 56,000
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BD bisects
R
А.
9x
(8x + 3)º
D
Answer:
54°
Step-by-step explanation:
Given BD bisects ∠ABC, which means it divided the angle into two equal parts, we can write the following equation to find the value of x, then the measure of ∠ABC:
9x = 8x + 3 subtract 8x from both sides
x = 3
The measure of ∠ABC = ∠ABD + ∠DBC
∠ABC = 9x + 8x + 3 add like terms
∠ABC = 17x + 3 replace x with 3
∠ABC = 17*3 + 3 and
∠ABC = 54°
A 282-inch pipe cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
The length of pipes are 235 inch and 47 inch.
what is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
length of pipe = 282 inch
as, One piece is five times the length of the other.
then the pipe is in 6 parts
So, length of each = 282/6 = 47 inch
and, then the length of pieces
=47 * 5
= 235 inches
Hence, the length of pipes are 235 inch and 47 inch.
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Linear Functions: Model from Two Points-Quiz - Level H
Ready
»Nevaeh uses a gift card to buy a cup of coffee every morning. The table shows the amount of
money remaining on the card, y, as a function of the number of cups of coffee she buys, c.
The rate of change is -3 since each cup of coffee costs $3.
The amount of money on the gift card when Nevaeh received the card = y-intercept of the function = $30.
What is the Starting Value/Y-intercept of a Function?The starting value/y-intercept of any function is the initial value or the value of y when x is equal to 0.
In the given scenario, the starting value/y-intercept (b), is the amount of money that was on the gift card when Nevaeh received the card.
Given the following:
Rate of change (m) = -3
Find b, y-intercept by substituting a point, (3, 21) and m = -3 into y = mx + b:
21 = -3(3) + b
Add 9 to both sides
21 + 9 = -9 + b + 9
30 = b
b = 30
Therefore, the amount of money on the gift card when Nevaeh received the card = y-intercept of the function = $30.
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Suppose you are the buyer for the housewares department of a department store. A number of vendors in your area carry similar lines of merchandise. On sets of microwavable serving bowls, Brand A offers a list price of $400 per dozen less a 35% trade discount. Brand B offers a similar set for a list price of $425 less a 42% trade discount.If you order 500 dozen sets of the bowls, how much money (in $) will be saved by using the lower-priced vendor?
The amount of money in dollars I can save by using the lower-price vendor is 6750 dollars.
What is percentage?A percentage is a value per hundredth.
Brand A offers a list price of $400 per dozen for microwavable serving bowls and I want to order 500 dozen.
∴ The listed price I have to pay is (500×400) = 200000 dollars.
Given brand A offers a 35% of trade discount, So the actual price I have to pay is 65% of the listed price which is,
= (65/100)×200000 dollars.
= 130000 dollars for 500 dozens.
Similarly, brand B has a list price of $425 for a dozen and offers a 42% trade discount, So the price of 500 dozen microwavable serving bowels for the trade will be,
= (58/100)(425×500) dollars.
= 123250 dollars.
∴ The amount of money I will save is the lower the 6750 dollars.price vendor is
= (130000 - 123250) dollars.
= 6750 dollars.
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Use the equation below to find y, If m=4, x=3, and b= 11.
y=mx+b
Answer:
y=54
Step-by-step explanation:
Fifteen is the same as the product of 3 and a number. Which equation models this sentence? 15 = x ÷ 3 15 = x ÷ 3 15=x−3 15 equals x minus 3, 15 = 3x 15 = 3 x 15 = 3 + x
