The question pertains to exponential notation in our decimal numbering system, where each place is worth ten times the next right place. It creates a more convenient way to express very large or small numbers. The rules of multiplication in this system involve multiplying the numbers out front and adding the exponents.
Explanation:
The question refers to place value in a number, where we are told how much each digit is worth based on their position. Here, '3' is worth 1/10 as much and '2' is worth 10 times as much as the number 431, 621. The power (exponent) of 10 is equal to the number of places the decimal is shifted to give the digit number.
This is part of exponential notation, which is especially useful for very large and very small numbers. For instance, 1,230,000,000 can be written as 1.23 × 10⁹, and 0.00000000036 can be articulated as 3.6 × 10-¹0. It's called powers-of-ten notation because each place in our numbering system is ten times greater than the place on its right.
To compute this, we use a method where we multiply the numbers out front and add the exponents. For instance, (3 × 10⁵) × (2 × 10º) equals 6 × 10⁵. This notation not only simplifies arithmetic but is also compact and convenient.
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Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earnings m to the number of hours h she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? for 4.5 hours?
Two examples that have a gcf of 8
Susan can buy 312312 lb of strawberries for $7.00. How many pounds of strawberries can she buy for $1.00? Express you answer as a fraction in simplest form
Answer:
are you sure it is that large number and not 3 1/2
Step-by-step explanation:
How many solutions does the equation have 5(n-2)=5n-10
Helppppp please. I’m so bad at thus
art supplies in washington DC cost 28 dollars if the sales tax is 6 percent what was the total cost of supplies
What is a FREAKIN ratios
pretty simple
compares two amounts like 4:5 is a ratio
I have a fair six sided dice numbered 4,9,12,16,20 and 24 what is the probability of rolling a multiple of 4
Yolanda purchased a prepaid phone card for $25 . Long distance calls cost 23 cents a minute using this card. Yolanda used her card only once to make a long distance call. If the remaining credit on her card is $22.24 , how many minutes did her call last?
PLZ TELL HOW U GOT THE ANSWER AND IT'S THE CIRCLED ONE PLLLLLZZZZZ
You divide a number by 3,add 6 then subtract 7. The result is 4 . What is the number
A recipe calls for 2/3 cup of brown sugar.marilyn is making 5 batches.how many cups of brown sugar should Marilyn use?
slope is -2 and (1,1) is on the line
1.) Each time a ball hits the ground, it bounces back to 2/3 of its previous height. On its second bounce, the ball reaches a height of 12 in. What was the balls original height?
2.) A runner jogs on a 1/4-mi track. How many miles does the jogger run in 18 laps?
Thanks!
A window has a radius of 12 inches. What is the circumference of the window? Use 3.14 to approximate pi. Round your answer to the nearest whole number.
A card is drawn from a standard deck and a letter is chosen from the word incredible. What is the probability of drawing a king then getting an i?
Step-by-step explanation:
A card is drawn from a standard deck. A standard deck of cards has 52 cards. Its been asked if it is a king. There are 4 kings in a deck, so probability is = [tex]\frac{4}{52}[/tex] or [tex]\frac{1}{13}[/tex]
Simultaneously, a word is chosen from 'incredible' that has 10 letters. We have been asked if the letter is 'i'. In the given word, we have 2 'i's. So, probability is [tex]\frac{2}{10}[/tex] or [tex]\frac{1}{5}[/tex]
Joesl's father is 45. He is 15 years older than twice joe's age. How old Is joe?
Belinda wants to buy 5 pictures to hang in her family room . If each picture costs $30.90 how much will it cost her to buy 5? Justify your answer by using distributive property
You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing the zip line is y=2x+4y=2x+4. There is a tree in your yard at the point (−4, 11)(−4, 11). Each unit in the coordinate plane represents 1 foot. Approximately how far away is the tree from the zip line? Round your answer to the nearest tenth.
Answer:
on what
Step-by-step explanation:
The library has 2,000 books for sale.The books are sorted into nonfiction, fiction, and children's books. The children's books number 500. Also, there are 200 more fiction books than nonfiction books. How many fiction books and nonfiction books are for sale in all? Please, Explain all the directions on how you got your answer.
Which value for x makes the sentence true?
5(9x-6) + 15 = 210
A. 8
B. 10
C. 2 11/17
D. 5
Best full explanation gets brainiest, rating and thx.
PLEASE DONT ANSWER IF YOU CANT EXPLAIN!
Use the formula F = 1.8C + 32 to convert -10C into Fahrenheit
The value of the temperature -10°C is equivalent to 14°F.
The process of changing a quantity's unit of measurement to another one that reflects the same physical amount is known as unit conversion.
To convert -10°C to Fahrenheit using the formula F = 1.8C + 32, follow these steps:
Start with the given temperature in Celsius, which is -10°C. Plug in -10 for C in the formula:
F = 1.8(-10) + 32.
Simplify the equation: F = -18 + 32.
Combine like terms:
F = 14.
Therefore, -10°C is equivalent to 14°F.
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23.791 round to nearest tenth
325 people were in a tour group. Six buses were completely filled and 7 people chose to walk. How many people did the bus hold?
-7.5 (x - 3) = 3.75
what is the value of x ?
Answer: The required value of x is 2.5.
Step-by-step explanation: We are given to find the value of x in the following equation :
[tex]-7.5(x-3)=3.75~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the value of x, we need to solve the given equation (i).
The solution of equation (i) is as follows :
[tex]-7.5(x-3)=3.75\\\\\\\Rightarrow x-3=\dfrac{3.75}{-7.5}\\\\\\\Rightarrow x-3=-0.5\\\\\Rightarrow x=3-0.5\\\\\Rightarrow x=2.5.[/tex]
Thus, the required value of x is 2.5.
Use long division to find the quotient of 405 and 27
there are 9 students that play tennis. if 75% of the students do not play tennis, how many are in the class
Why there must be at least two lines on any given plane
The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold 1/3 of the short-sleeved shirts and 1/2of the long-sleeved shirts, for a total of 100 shirts.
This system of equations models the situation.
5x + 10y = 1,750
1/3x + 1/2y = 100
Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered.
How many short-sleeved shirts were ordered?
How many long-sleeved shirts were ordered?
Answer:
150 short-sleeved shirts and 100 long-sleeved shirts.
Step-by-step explanation:
We will use elimination to solve this system of equations. We will make the coefficients of x the same in order to eliminate them; to do this, we must multiply the bottom equation by 15 (1/3 of 15 is 5, so 15(1/3) = 5):
[tex]\left \{ {{5x+10y=1750} \atop {15(\frac{1}{3}x+\frac{1}{2}y=100)} \right. \\\\\left \{ {{5x+10y=1750} \atop {5x+7.5y=1500}} \right.[/tex]
Subtract the second equation from the first one:
[tex]\left \{ {{5x+10y=1750} \atop {-(5x+7.5y=1500)}} \right. \\\\2.5y=250[/tex]
Divide both sides by 2.5:
2.5y/2.5 = 250/2.5
y = 100
Substitute 100 in for y in the first equation:
5x+10(100) = 1750
5x+1000 = 1750
Subtract 1000 from both sides:
5x+1000 - 1000 = 1750 - 1000
5x = 750
Divide both sides by 5:
5x/5 = 750/5
x = 150
40 pounds of sugar are repackaged of 1/16 pounds each. how many packet of sugar are there?
Final answer:
To find the number of sugar packets from 40 pounds, divide by the weight per packet (1/16 pound). The calculation is 40 divided by 1/16, resulting in 640 packets.
Explanation:
To determine how many packets of sugar you can make from 40 pounds of sugar when each packet is 1/16 pounds, you would divide the total amount of sugar by the amount each packet contains. This is a basic math problem involving division.
Here's the calculation:
First, we establish that there are 40 pounds of sugar that need to be divided into packets.
Next, since each packet will contain 1/16 of a pound of sugar, we divide the total pounds of sugar by the weight of each packet.
The calculation is 40 pounds \/ (1/16) pounds per packet, which simplifies to 40 × 16 packets.
After performing the multiplication, the result is 640 packets of sugar.
Therefore, you would have a total of 640 packets of sugar if you repackage 40 pounds of sugar into 1/16 pound packets.