Fractions and decimals are all around us. For example, you might have seen those oval stickers on the back of people’s cars that say 26.2. That is the length of a modern marathon, 26.2 mi. As a fraction, that would be 2 26 10 mi or, in simplest form, 1 26 5 mi. A. Find three examples of fr actions or decimals in the real - world. You can use videos, magazines, newspapers, books, or the In ternet. Don't take more than two examples from the same source. Also, get a mix of fractions and decimals. Don't choose all fractions or all decimals. B. List your examples. Explain each example and list the source. C. Convert each example either from a fraction to a decimal or from a decimal to a fraction. Don’t forget to show your work and simplify.
find and intrepret the Slope
ab + 3c = 2x, for b
To solve the equation ab + 3c = 2x for b, subtract 3c from both sides and divide by a.
Explanation:To solve the equation ab + 3c = 2x for b, we need to isolate b on one side of the equation. First, subtract 3c from both sides to get ab = 2x - 3c. Then, divide both sides by a to get the final solution: b = (2x - 3c) / a.
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-9u - 5 + 6u = 19
What is u?
A gardener brought 5 rabbits, after 2 months rabbits became 10, and after 4 months they became 20. If the growth continues on the same ratio, what would be the amount of rabbits after 1 year?
(a) 300 (b) 435
(c) 535 (d) 635
Answer:
Initial population of Rabbit = 5 rabbit
After 2 months
Population of Rabbit = 10
After 4 months
population of rabbit = 20
Formula for growth is :
G = [tex]G_{0}[1 + R]^n[/tex], where G is final population and [tex]G_{0}[/tex] is initial population, and R is growth rate.
1. 10 = 5 [1 +R]²
Dividing both sides by 5 , we get
2 = (1 + R)²
→ R + 1 = √2 ⇒ taking positive root of 2
→R = √2 -1
Amount of rabbit after 1 year = [tex]20(1 + \sqrt2 -1)^8= 20 \times (\sqrt2)^8= 20 \times 2^4= 20 \times 16= 320[/tex]
The amount of rabbits after 1 year is[tex]\boxed{635}[/tex].
Further explanation:
The terms of the geometric sequence can be written as,
[tex]a,ar,a{r^2},a{r^3}[/tex], ..
Here, is the first term and is the common ratio.
If the first term and the second term is known then, the value of can be obtained.
Now, the value of any term can be easily obtained with the help of a and r.
Explanation:
The initial population of the rabbit is 5.
After two months the population of the rabbit is 10.
After four months the population of the rabbit is 20.
After six months the population of the rabbit is 40.
After eight months the population of the rabbit is 80.
After ten months the population of the rabbit is 160.
After twelve months the population of the rabbit is 320.
The series can be formed as,
[tex]5,{\text{10, 20, 40, 80, 160, 320}}[/tex]
Now find the sum of all the population.
[tex]\begin{aligned}{\text{Sum}} &= 5 + 10 + 20 + 40 + 80 + 160 + 320\\&= 685 \\\end{aligned}[/tex]
The amount of rabbits after 1 year is [tex]\boxed{635}[/tex].
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Geometric progression
Keywords: Rabbit, gardener, same ratio, amount of rabbits, growth, continues, 1 year, Five rabbits, after two months,
The sum of 2 and three times a number equals 14. Find the number
Mal downloads 4 songs each week for 5 weeks.Then he sorts the songs into equal groups.There are 10 songs in each group.How many groups are there?
Which of these numbers is NOT rational? A.√3 B.0.25 C.1/5 D.√9
The correct option is "option A" , i.e., √3 .
In the question some options are given which consists of some numbers.
We have to find out which number is not a rational number.
What is the difference between rational and irrational numbers ?
Irrational numbers can not be represented in the form of rational numbers or in other words the irrational number cannot be expressed in the p/q form.
As per the definition , Let's check which one is not rational.
A) √3
= 1.723
This can't be represented in p/q form . So , this is not rational number.
By checking all other options we get to know that these all are rational numbers as we can express them in p/q form.
Thus , the correct option is "option A" , i.e., √3 .
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What is the equivalent ratio of 5/9?
You use a microscope to look at bacteria that is 0.0034 millimeter long. The microscope magnifies the bacteria 430 times. How long does the bacteria appear to be when you look at it through the microscope?
Answer:
1.462 millimeters.
Step-by-step explanation:
You use a microscope to look at bacteria that is 0.0034 millimeter long.
The microscope magnifies the bacteria 430 times.
So the bacteria appears 430 times long through the microscope.
We will multiply the length of bacteria by 430.
The size of bacteria appear = 430 × 0.0034
= 1.462 millimeters
The length of the bacteria would appear 1.462 millimeters through microscope.
In a Toy store, the ration of dolls to teddy bears is 9:3. If the store has 240 dolls, how many teddy bears are in the store
There are 80 teddy bear in the store.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of dolls to teddy bears is,
⇒ 9 : 3
Number of dolls in the store = 240
Now,
Since, The ratio of dolls to teddy bears is,
⇒ 9 : 3
⇒ 3 : 1
So, Number of dolls = 3x
And, Number of teddy bears = x
We can formulate;
⇒ 3x = 240
Solve for x as;
⇒ x = 240 / 3
⇒ x = 80
Thus, Number of teddy bears = x
= 80
So, There are 80 teddy bear in the store.
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Quadrilateral ABCD is the result of a reflection of quadrilateral EFGH over the line. Which line segment in the image corresponds to EH in the pre-image?
A.) AD
B.) AB
C.) BC
D.) CD
Answer: A) AD
Step-by-step explanation:
Given: Quadrilateral ABCD is the result of a reflection of quadrilateral EFGH over the line.
We know that after reflection each point on the pre-image has a corresponding point on its image that is equidistant from a given line of reflection.
Since, EH shows the first and the last character of the name .
Thus, the line segment in the image corresponds to EH in the pre-image is AD because A is the first and D is the last character of the pre-image.
A bath tub will hold 1 hectoliter of water. How many liters will it hold?
19.25 tons=_______lbs. Show work
Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. What the largest number of groups he can make?
Joe works full time as a carpenter and brings home $3,000 per month. He owes a total of $1,500 in fixed expenses every month, which includes items such as rent and insurance. If Joe had $1,000 in variable expenses such as groceries and entertainment, what would be his ending balance?
Answer:
The answer is $500.
Step-by-step explanation:
Joe works full time as a carpenter and brings home $3,000 per month.
He owes a total of $1,500 in fixed expenses every month.
Joe had $1,000 in variable expenses.
Total expenses are = [tex]1500+1000=2500[/tex] dollars
So, his ending balance will be = [tex]3000-2500=500[/tex] dollars
Therefore, the answer is $500.
9th grade Algebra 1 help! PLEASE HELP ME! EXPLAIN YOUR ANSWERS :)
Find an equivalent fraction for the decimal number 0.66. In your final answer, include all of your work. 0.
A used electronics store pays $40 for each cell phone, spends $25 refurbishing the phone, and sells the refurbished phone to a customer for $100.
Answer:
h
Step-by-step explanation:
e
How many 3/4-foot lengths of pipe can be cut from a 6 1/3-foot pipe?
To find how many 3/4-foot lengths of pipe can be cut from a 6 1/3-foot pipe, you need to divide the length of the pipe by the length of each piece. The answer is 8 4/27 lengths of pipe.
Explanation:To find how many 3/4-foot lengths of pipe can be cut from a 6 1/3-foot pipe, we need to divide the length of the pipe by the length of each piece. To do this, we convert both the length of the pipe and the length of each piece to the same unit of measurement. Here's how:
Convert 6 1/3 feet to improper fraction: 6 1/3 = 19/3 feet.Convert 3/4 foot to improper fraction: 3/4 = 9/12 feet.Divide the length of the pipe by the length of each piece: 19/3 / 9/12 = (19/3) x (12/9) = 228/27 = 8 4/27.Therefore, you can cut 8 4/27 lengths of pipe from a 6 1/3-foot pipe.
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math question down below
what are the common factors of 16a and 20ab
Two lines intersect to form a linear pair with equal measures. One angle has the measure 9x° and the other angle has the measure (9y − 54)°. Find the values of x and y.
rule add 15, subtract 10 first term4
Quincy needs 322 yards of ribbon to decorate quilts for a craft fair. The ribbon comes in rolls of 15 yards. How many rules of ribbon should Quincy buy? Alice needs twice as many yards of ribbon as Quincy. How many rules of ribbon does Alice need?
Dritown received 0.135 inches of rain in the spring of 2011. Write this decimal as a fraction in simplest form.
A: 7/50
B: 1/8
C: 13/100
D: 27/200
Answer:
[tex]\frac{27}{200}[/tex]
Step-by-step explanation:
Dritown received 0.135 inches of rain in the spring of 2011.
Convert 0.135 in fraction form
0.135 can be written as 0.135/1
To remove decimal multiply top and bottom by 1000
[tex]\frac{0.135 \cdot 1000}{1000} =\frac{135}{1000}[/tex]
Divide both top and bottom by 5
[tex]\frac{135}{1000}[/tex] becomes [tex]\frac{27}{200}[/tex]
DO NOT COPY FROM ANOTHER ANSWER! I Will know!!
A stone was thrown into a pond from 8 feet above the surface of the water in the pond. Justin wrote +8 feet to represent the height from which the stone was thrown. What does 0 represent in this situation?
the depth of water in the pond
the level at which the stone fell
the surface of the water in the pond
the level from which the stone was thrown
0.42 inch of rain fell in 3 hours. How many inches of rain fell per hour?
divide total amount (0.42) by number of hours (3)
0.42 / 3 = 0.14 inches per hour
9,791 rounded to the nearest hundred
9,791 rounded to the nearest hundred is 9,800 because the tens digit (9) is closer to 0 than 100.
Rounding 9,791 to the nearest hundred means finding the closest multiple of 100 to 9,791. To do this, we look at the tens digit, which is 9, and determine if it's closer to 0 or 100. Since 9 is closer to 0 than to 100, we keep the hundreds digit the same (9) and change all digits to the right to 0. So, rounding 9,791 to the nearest hundred gives us 9,800.
Simplify by collecting like terms: 2x-4-6x+8
The expression 2x - 4 - 6x + 8 is simplified as 4(1 - x).
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 2x - 4 - 6x + 8
Simplify the expression, then the value of the expression will be
⇒ 2x - 4 - 6x + 8
⇒ - 4x + 4
⇒ 4(1 - x)
The expression 2x - 4 - 6x + 8 is simplified as 4(1 - x).
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