Final answer:
The length Y (in feet) of a boa constrictor that is X years old is given by the equation Y = 0.6667X + 1.5. This equation takes into account the initial length of 1.5 feet at birth and an annual growth of 0.6667 feet.
Explanation:
To write an equation representing the length Y (in feet) of a boa constrictor that is X years old, we need to start with its initial length at birth and account for its growth over the years. The boa constrictor is 18 inches long at birth and grows 8 inches per year. However, we want Y to be in feet, so we must convert these measurements from inches to feet (since 1 foot = 12 inches).
To convert the initial length from inches to feet, we divide 18 inches by 12, which gives us 1.5 feet. The annual growth should also be converted from inches to feet by dividing 8 inches by 12, resulting in approximately 0.6667 feet.
So, using slope-intercept form (Y = mx + b), our equation is:
Y = 0.6667X + 1.5
This equation states that the boa constrictor starts with a length of 1.5 feet at birth (Y-intercept) and grows about 0.6667 feet for every year that passes (the slope).
Rose wants to add soil to her rectangular front yard. Her front yard measures 7.54 meters by 5.35 meters. What is the area of Rose's front yard? (Area = length × width) Do not round your answer.
it took morry 2 5/6 hous to drive to the beach.it took jason twice as long.how long did it take jason to drive to the beach
Can be used to organize function values?
The question explores how to organize function values, highlighting the definition and uniqueness of functions in mathematics. Functions can be represented through tables, graphs, and formulas, facilitating the understanding of complex relationships between inputs and outputs. The concept also ties into broader mathematical principles, exemplifying the importance of functional representation in logical and analytical reasoning.
Explanation:Can be used to organize function values? The concept of organizing and managing function values is central in mathematics, especially when dealing with functions in algebra and calculus. A function is essentially a set of ordered pairs, where each element in the domain (input) is associated with exactly one element in the range (output). This uniqueness criteria distinguish a function from a general relation. For instance, a set containing pairs like (3,2) and (5,2) represents a valid function since each input maps to a single output, even if multiple inputs share the same output.
Functions can be organized or represented in multiple ways, including tables, graphs, formulas, or mappings of inputs to outputs as seen in function B, where arguments (inputs) are mapped onto unique values (outputs). This method emphasizes the power of function composition where functions call other functions, enriching the idea that mathematics often builds up complex ideas from simpler ones.
Furthermore, the versatility of functions allows them to encapsulate broader concepts, illustrated by the characteristic function of a set, showcasing how functional representation can offer a more convenient and general approach compared to set membership. This approach is significant in various mathematical fields, including the functional analysis of set theories and logic, underlining the functional representation's impact on understanding and interpreting rules.
Arlene wants to create a scale drawing of the poster as in: 9 inches and 6 inches.What are the dimensions of the poster at one-third its current size?
Answer:
the answer is
Step-by-step explanation:
2/3
factor de 16x + 40y ecuacion
how can you use proportions to solve percent problems?
A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pens and n composition books. The store offers a 5% discount for every 50th customer who makes a purchase. If Cindy gets the 5% discount, which expression will represent Cindy’s bill?
0.05 − 1.09m + 2.79n
1.05 + 1.09m + 2.79n
1.05(1.09m + 2.79n)
0.95(1.09m + 2.79n)
Answer: The expression that represents Cindy´s bill is 0.95(1.09m + 2.79n).
Step-by-step explanation:
Hi, to find the correct expression we have to analyze the information given:
Packs of ballpoint pens = m
Price of ballpoint pens=$1.09 each
Composition books= n
Price of composition books = $2.79 each
Discount 5%
Cindy buys m packs of ballpoint pens and n composition books. To represent this statement in an equation we have to multiply each quantity of the items bought by the price of each item.
So, mathematically speaking
1.09m + 2.79n
Now, to apply the 5% percent discount we have to multiply the whole expression by 0.95.
0.95(1.09m + 2.79n)
In conclusion, the expression that represents Cindy´s bill is 0.95(1.09m + 2.79n).
Feel free to ask for more if it´s necessary or if you did not understand something.
Use repeated subtraction to divide 93 by 3
Which graph could be used to show the situation described?
The temperature starts at 0 degrees and decreases by 12 degrees every hour.
Answer:
C.
Step-by-step explanation:
We are given,
The temperature on the graph starts at 0 degrees and decreases by 12 degrees every hour.
Now, according to the options:
A. In this figure, the temperature starts from a point between ( 10,20 ) and not from 0. So, this is not correct.
B. In this figure, the temperature starts from the point 3 and not from 0. So, this is not correct.
D. In this figure, the temperature starts from 0 but it is decreasing by 1 degree every hour, which is not according to the given statement. So, this is also not correct.
C. In this figure, the temperature starts from 0 and it is decreasing appears to be decreasing by 12 degree every hour. Thus, it represents the given statement.
Hence, figure C is the correct option.
Find an equation for y in terms of x if y is directly proportional to y. X = 4 Y = 8
4x-3y=12. solve for Y
Please show work
Distributive pripert
Maya collects stamps she has 20 stamps in her collection four fifths of her stance have been cancelled how many of the stands and collection has been cancelled
Maya has 20 stamps in her collection, and four-fifths of them have been canceled. Therefore, 16 stamps in Maya's collection have been canceled.
Maya has 20 stamps in her collection, and four-fifths of them have been canceled. To find out how many stamps have been canceled, you would multiply the total number of stamps by the fraction that has been canceled.
Calculate 4/5 of 20 stamps: 20 x 4/5 = 16 stamps.
Therefore, 16 stamps in Maya's collection have been canceled.
For which equation is 7 a solution?
A) 3x + 1 = 27
B) 3(x + 1) = 24
C) 2x + 3(x-4) = 21
D) x2 - 8 = 42
i need help
1-) -8 less than or equal too 8w
2-) -6a >66
3-) -25t less than or equal too -500
4-) 18> -3g
5-) y/4 less than or equal too 1.6
6-) T/-2 < -6
7-) -8 > k/-0.2
8-) m/-8 less than or equal too -2.4
Kenneth drove 180.9 miles in hours. What was his average speed?
Amy ran twice as many miles on Tuesday as she ran on Monday. Amy ran 2 mi on Monday. What is the total number of miles that Amy ran on Monday and Tuesday?
miles ?
L'Shanda rode her bike 2.5 miles. Shanay rode her bike 3 miles. How many more feet did shanay ride her bike than L'Shanda?
From 42 acres to 72 acres
Answer:
Step-by-step explanation:
Faith had $100. She went to the grocery store and bought three gallons of ice cream for $7.29 each. Then she went to the farmer's market and bought two dozen ears of corn for $5/dozen. How much money did faith have left
6 times 6 plus 3 times 3 times 2 thirds
Answer:
to be honest ima bit confused buuuuuut
Step-by-step explanation:
NoOOOOO STATE TESTING WOOHOOO
“one-fifth less than the product of seven and a number”
Answer: [tex] 7x-\frac{7X}{5} [/tex]
Step-by-step explanation:
Any number is called X
The product of seven and any number = 7X
One-fifth of a number means the same as that number divided by 5.
One-fifth of 7X = 7X/5
Then one-fifth less than the product of seven and a number.
7X - 7X/5
Answer: [tex] 7x-\frac{7X}{5} [/tex]
[tex]\textit{\textbf{Spymore}}[/tex]
Which ordered pair is the solution to the system of equations? x+y=-1
3x-y=21
A. (5, -6)
B. (7, -8)
C. (5.5, -6.5)
D. (10, -11)
adam put 16 cups of flour into bags that hold 1/3 cup each. How many bags did he fill
Gemma spends 4 hours each week playing soccer and 3 hours each week practicing her clarinet. Write the ratio of hours spent practicing clarinet to hours spent playing soccer three different ways.
what are the partial products of 4.6 x
3.5
The partial product of 4.6 and 3.5 is calculated by breaking each number into whole numbers and decimals, multiplying each part separately, resulting in 16.1 as the product.
Explanation:Partial products is a method in multiplication. It involves the breaking down of numbers into their place values and then multiplying each part separately. For 4.6 x 3.5, first split the numbers into their whole numbers and decimal parts: 4 + 0.6 and 3 + 0.5.
Then, calculate the products individually:
4 x 3 = 124 x 0.5 = 20.6 x 3 = 1.8 0.6 x 0.5 = 0.3Add these partial products together:
12 + 2 + 1.8 + 0.3 = 16.1
So, the product of 4.6 x 3.5 through partial products is 16.1.
Learn more about Partial Products here:https://brainly.com/question/17871070
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Is 1/6 greater than 4/6
the sales tax in one town is 8%. so the total cost of an item can be written as c+0.08c. What is the total cost of an item that sells for $12
The total cost of an item that sells for $12 with an 8% sales tax is calculated by multiplying the price by the sales tax rate to get the sales tax amount, which is then added to the original price. The total cost comes out to $12.96.
To find the total cost of an item that sells for $12 with an 8% sales tax, you need to first convert the sales tax rate to a decimal and then multiply by the cost of the item. In this case, 8% as a decimal is 0.08.
The formula to calculate the amount of sales tax is:
Amount of sales tax = price ×rate of sales tax
So for a $12 item:
$12 ×0.08 = $0.96
This is the amount of sales tax for the item. To find the total cost, you have to add the sales tax to the original price:
$12 + $0.96 = $12.96
Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 4.5 feet of ribbon, and Baxter has 2.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
Final answer:
Carol has 90 inches of ribbon, Tino has 4.5 feet, and Baxter has 2.5 yards. The total length of the ribbon the three friends have is 234 inches, 19.5 feet, and 6.5 yards.
Explanation:
To express the total length of the ribbon, we need to convert each friend's measurement to inches, feet, and yards.
Carol has 90 inches of ribbon.
Tino has 4.5 feet of ribbon. Since there are 12 inches in a foot, we can calculate Tino's measurement in inches by multiplying 4.5 feet by 12 inches/foot, which gives us 54 inches.
Baxter has 2.5 yards of ribbon. Since there are 3 feet in a yard and 12 inches in a foot, we can calculate Baxter's measurement in inches by multiplying 2.5 yards by 3 feet/yard and 12 inches/foot, which gives us 90 inches.
Therefore, the total length of ribbon the three friends have in inches is 90 + 54 + 90 = 234 inches.
To convert this to feet, we can divide 234 inches by 12, which gives us 19.5 feet.
To convert this to yards, we can divide 234 inches by 36, which gives us 6.5 yards.
From a standard deck of cards, what is the probability that you choose a red card and then a 3, assuming you replaced the first card?
Answer:
1/26
Step-by-step explanation:
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