An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.
a. How much has the angelfish grown?
b. An inch is 1/12 of a foot. How much has the angelfish grown in feet?
40 points!
The angelfish has grown by 5/6 inches, which is equivalent to 5/72 feet when converted.
The question asks how much an angelfish has grown both in inches and in feet.
Part A: Growth in Inches
The angelfish was originally 1 1/2 inches long and grew to 2 1/3 inches. To calculate the growth, subtract the original length from the current length:
2 1/3 inches (current length) - 1 1/2 inches (original length) = 7/3 inches - 3/2 inches
To subtract, convert to a common denominator (6 in this case): 7/3 becomes 14/6 and 3/2 becomes 9/6,
14/6 - 9/6 = 5/6 inches
So the angelfish has grown by 5/6 inches.
Part B: Growth in Feet
Since 1 inch is 1/12 of a foot, to calculate the growth in feet, multiply the growth in inches by the conversion factor:
5/6 inches * (1 foot/12 inches) = (5/6) * (1/12)
Multiplying these fractions, we get 5/72 feet, which is the growth in feet.
A theater has 28 rows of 38 seats downstairs and 24 rows of 26 seats upstairs. How many seats does he theater have?
multiply rows by seats for each section then add them
28*38 = 1064
24*26 = 624
1064 + 624 =1688 total seats
You bought a large container of fruit punch. The label on the container says there are 128 fluid ounces of fruit punch in the container. How many cups is that?
Which function represents the graph of y=10(4)x ?
f
g
h
j
Hence the the function that represents the graph of the given function is:
g
step-by-step-explanation:We are given graphs of four function.
f,g,h and j and we are asked to find which of the following given four graphs represents the graph of the function:
[tex]y=10\times 4^x[/tex]
Clearly when x=0 we see that the function gives the value.
[tex]y=10\times 4^0\\\\y=10\times 1\\\\y=10[/tex]
Hence when x=0 the graph of the function must pass through 10. i.e. the graph of the function passes through the point (0,10).
Hence the the function that represents the graph of the given function is:
g
Simplify: -5/4 divided by 2 3/5
the 2 points are reflections of each other across the x-or y-axis identify the axis help me please
Find the value of x so that the figures have the same area.
25ft, x-6 ft
x ft, 15ft
The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31,000,000 seconds.) Put it in scientific form.
The total amount of energy produced by the sun in a year will be 11.78 × 10³⁴ joules.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The total amount of energy produced by the sun in a year can be calculated by multiplying the sun's energy production per second by the number of seconds in a year.
3.8 × 10²⁷ joules/second × 31,000,000 seconds/year
To express this in scientific notation, we can rewrite the number using powers of 10.
3.8 × 10²⁷ × 3.1 × 10⁷
11.78 × 10³⁴ joules
In this expression, the coefficient (11.78 ) is the number of units of energy produced, and the exponent (34) tells us the magnitude of the number. The exponent is based on the base of 10, so the number is 10 to the power of 34 or 1 followed by 34 zeros. This is a very large number and helps to give us a sense of the scale of energy production by the sun.
Learn more about the Scientific Notation here :
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#SPJ5
There were 15 apples in a bowls.dan used some apples to make a pie. Now there are 7apple in the bowl. How many Apple did dan use?
Find a counterexample. If two lines are parallel, then they do not intersect. A. If two lines do not intersect, they could be skew. B. If two lines are parallel, they may intersect twice. C. If two lines are parallel, they intersect once. D. The statement is true. There is no counterexample.
Answer:
The answer would be D.
Step-by-step explanation:
The statement is true. There is no counterexample. Parallel lines never intersect because they are parallel to each other. So, it is impossible for parallel lines to intersect. Hope that answers your question.
A counterexample is an example that is against or opposite the theory. They disapprove of the generalization. In math's counterexample is used to slightly abuse and refers to the example which shows the need to fully hypothesize a theorem.
Such as all prime numbers are odd numbers as number 2 is a prime number but is an even number hence contradictory. As parallel lines are always at the same distance apart and never intersect.Hence the correct option is B. If two lines are parallel, they may intersect twice.
Learn more about the find a counterexample.
brainly.com/question/10940901.
The phone company charges 10 cents to connect a call for one minute, and 8 cents per minute after that. How long could you talk on the phone for $1?
what percentage is equal to 2/5?
Please help with this one
sec theta = 11/4, cot theta < 0
a slab or ribs at the butcher costs $4.55 per pound how much will it cost if you buy 3.5 pounds of ribs round to the nearest penny
[HELP!] Your friend competes in a high jump competition at a track meet. The function h= -16t + 18t models the height h (in feet) of your friend after t seconds. After how many seconds is your friend at a height of 4? How many seconds will it take your friend to land on the ground? (Show work please! ^^)
Jon has -8 dollars in his account then adds 12 dollars, how much does he have now?
What does zero represent in your story problem?
based on your schedule having a car will cut your transportation costs enough to squeeze in a 4-Hour shift each weekend at the fast food store paying $9 per hour your estimate that the car will cost you $100 per week to own and operate your take home pay will be 70% of your gross pay it is it worth it to get the car
what is the multiplicative inverse of the the fraction 2/7
A. -7/2
B. 0
C. 1
D.7/2
Answer:
D.}7/2
Step-by-step explanation:
I took the test on time4learning in 2022 and got it right hope I helped and more importantly I hope you passed byee!!
Jumlah panjang dan lebar suatu persegi panjang adalah 32cm. Sedangkan luasnya adalah 240cm. Tentukan (a) panjang dan lebarnya (b) kelilingnya dan (c) panjang diagonal persegi panjang
P and L : 12 and 20 cm
Perimeter : 64 cm
Diagonal = 4√34
Further explanationThe playground is a rectangular shape. There are several properties possessed by rectangular shapes, namely:
• 1. each angle is equal and is a right angle
• 2. the diagonals intersect and divide each other equally
• 3. sides facing the same length
There are two rectangular shapes namely square and rectangle
Square if all sides are the same length
The formula used in rectangular is:
• 1.Area
Rectangle
[tex]\large{\boxed{\bold{Area=w\:\times\:l}}}[/tex]
w = width
l = length
Square
[tex]\large{\boxed{\bold{area=a^2}}}[/tex]
a = length of side
• 2. perimeter
Rectangle
[tex]\large{\boxed{\bold{perimeter=2\times(w+l)}}}[/tex]
w = width
l = length
Square
[tex]\large{\boxed{\bold{perimeter=4\times\:a}}}[/tex]
a = length of side
P+L = 32 cm
Area = 240 cm²
Then
P = 32-L
Area = (32-L) x L
Area =32L-L²
240 = 32L-L²
-L²+32L-240=0
L²-32L+240 = 0
(L-12)(L-20)=0
L = 12 or L = 20
Then =P= 20 or 12
B)Perimeter= 2 x (P +L) = 2 x (12+20) = 64 cm
C) Diagonal
Phytagoras :
[tex]\rm diagonal=\sqrt{20^2+12^2}\\\\diagonal=\sqrt{400+144}\\\\diagonal=\sqrt{544}=4\sqrt{34}[/tex]
Learn moreThe ratio of the perimeters
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Jeremy has two pieces of what one is 90 inches and the other is 72 inches he want to cut the pieces of wood in the smaller pieces to the all the pieces are the same length if you wants the pieces to be as long as possible and doesn't want to have any lumber left over how long should each piece me how many total pieces of lumber will he have
If y=3-x what is y if x =-4
What is the value of x?
Enter your answer in the box.
Write a translation rule that maps point D(7,-3) onto point D'(2,5).
Josh spends 40 cents of every dollar on snacks,14 cents out of every dollar on school supplies and saves the rest. If Josh earns 32.00 per week, how much does he Dave per week
Josh saves $14.72 per week from his $32.00 earnings after spending on snacks and school supplies.
The student is asking about how much Josh saves per week after spending on snacks and school supplies from his earnings. Josh spends 40 cents of every dollar on snacks and 14 cents of every dollar on school supplies, which totals 54 cents on expenditures out of every dollar he earns. To calculate his savings, we subtract this total expense from the dollar:
1 dollar - 0.54 dollars (expenses) = 0.46 dollars saved.
To find out how much Josh saves from his weekly earnings of $32.00, we multiply his savings rate per dollar by his total earnings:
$32.00 x 0.46 = $14.72 per week saved.
Multiply. 5⋅2/3 Enter your answer as an improper fraction, in simplified form, in the box
Answer:
[tex]\frac{10}{3}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]5.\frac{2}{3}[/tex]
We have to multiply and find answer in improper fraction in simplified form
In order to find the answer we will multiply nominator by nominator denominator remain same.
[tex]5\cdot \frac{2}{3}=\frac{10}{3}[/tex]
It is improper fraction and simplified from .
Answer:[tex]\frac{10}{3}[/tex]
How do you simplify using the laws of exponents?
Can you show me an example pleaseee
https://youtu.be/6ieqoMb0kWI
Watch this video hope this helps you.
A function is created to represent the miles per gallon your car gets. What restrictions would be made to the domain ?
A. The domain were only include integers.
B. The domain will only include positive integers.
C. The domain would include all real numbers.
D. The domain would only include positive numbers.
Option: D is the correct answer.
D. The domain would only include positive numbers.
Step-by-step explanation:Domain of a function--
It is the set of all the x-values or the values of the independent values for which the function is defined.
Here the function is used to represent the miles per gallon your car gets.
i.e. the independent variable is the number of gallons the car gets.
and the dependent variables is the number of miles covered by the car.
As the number of gallons of the car can't be negative or zero , it could be any positive number.
Hence, the domain would include any positive number.
David is buying a new car for $21,349 he plans to make a down payment of 3000 if he's to make a monthly payments of $352 for the next five years what APR has he paid
The weight of an elephant is 1000 times the weight of a cat if the elephant weighs 14,000 pound how many pounds does the cat weight