Answer:
3.458 × 10¹⁷
Explanation:
We multiply the amount of salt per liter, 3.5×10⁻², by the amount of sea water in the South China Sea, 9.88×10¹⁸:
(3.5×10⁻²)(9.88×10¹⁸)
Multiplication is commutative; this means we can switch around the numbers we are multiplying:
(3.5×9.88)(10⁻²×10¹⁸)
Multiplying the numbers in the first set of parentheses, we have 34.58.
To multiply the powers of 10, we use the product property; it states that if we multiply powers that have the same base, we add their exponents:
10⁻²×10¹⁸ = 10⁻²⁺¹⁸ = 10¹⁶
This gives us 34.58 × 10¹⁶. In scientific notation, the decimal must be behind the first non-zero digit; this gives us 3.458. When we move the decimal again, we add 1 to the exponent; this gives us 3.458 × 10¹⁷
The kilograms of salt in the South China Sea is required.
The amount of salt in the South China Sea is [tex]3.458\times 10^{17}\ \text{kg}[/tex]
The amount of salt in 1 liter of seawater is [tex]3.5\times 10^{-2}\ \text{kg}[/tex]
[tex]1\ \text{liter of seawater}=3.5\times 10^{-2}\ \text{kg of salt}[/tex]
The volume of seawater in the South China Sea is [tex]9.88\times 10^{18}\ \text{L}[/tex]
[tex]9.88\times 10^{18}\ \text{liters of seawater}=9.88\times 10^{18}\times 3.5\times 10^{-2}=3.458\times 10^{17}\ \text{kg}[/tex]
The amount of salt in the South China Sea is [tex]3.458\times 10^{17}\ \text{kg}[/tex]
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217+37(3x−5)=−4 Drag and drop the statement that shows the solution to the equation into the box.
does this help? :D
Answer on picture
estimate 392÷9 show how you estimated
A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. Which customer will be the first to receive both gift cards?
Jazmin is completing an art project. She has two pieces of construction paper. The first piece is 4 4 4444 inches wide and the second piece is 3 3 3333 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible. How wide should Jazmin cut each strip?
Answer:
Each strip should 11 inches wide.
Step-by-step explanation:
We are told that Jazmin has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.
To find the greatest possible width of each strip we will find GCF of 44 and 33.
Factors of 44 are: 1, 2, 4, 11, 22, 44.
Factors of 33 are: 1, 3,11, 33.
We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.
Answer:
11
Step-by-step explanation:
We are told that Jazmin has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.
To find the greatest possible width of each strip we will find GCF of 44 and 33.
Factors of 44 are: 1, 2, 4, 11, 22, 44.
Factors of 33 are: 1, 3,11, 33.
We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.
Identify the multiplier for 2/9 = 6/27
The multiplier for the number 2 / 9 will be 3 / 3.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
The given number is 2 / 9. The multiplier for the number will be calculated as below:-
2/9 = 6/27
( 2 / 9) x ( 3 / 3 ) = ( 6 / 27)
( 6 / 27 )= ( 6 / 27 )
Therefore, the multiplier for the number 2 / 9 will be 3 / 3.
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A cell phone company mistakenly advertises that their data plan costs “0.02 cents” for every kilobytes of data. Write each as a fractional rate
the perimeter of the rectangle is 400 inches.what is the value of j
4 1/5
-
2 7/10
________
I HAVE 2 QUESTIONS PLEASE HELP ME AND REAL ANSWERS PLEASE OR I WILL REPORT.
The cost to rent a hall for Alysa's Sweet Sixteen birthday party is $300. Her Mom said she must keep the party cost to no more than $5.00 a person. She watched her mom write an expression on her notes that is listed below. What does the variable represent in this expression?
300+200
------------------
X
A. The number of people attending
B. The amount to rent the hall
C. The amount of food
D. The total cost of the party
What is the sum of the coefficients in the expression
2m^2n + 2mn^2 - m + 3n + 9
PLEASE HELP ME
Answer:
Step-by-step explanation:
1. For her birthday, the mother stated that 5.0 per person, so then the number of people is going to change the party's budget. Now the numerator shows what the girl is going to spend, in comparisson to what she is sopposed to X. So then X is the cost of the party.
2. This one is tricky because we have to take into account that we can onky sum coefficients if they are alike. We can play with this expression by factorizing in different modes
x-5 greater than or equal to - 2 or 2x less than 6
What is 101/10 as a mixed number
10 1/10 is the mixed fraction version of 101/10
A(n)
is a letter used as a placeholder for an unknown value.
A variable is the letter used as a placeholder for an unknown value, playing a pivotal role in mathematical reasoning and problem-solving processes.
A placeholder for an unknown value in mathematics, algebra, and other fields is typically represented by a variable. Variables are symbols, often letters like x, y, or z, used to denote unspecified or changing quantities.
They serve as placeholders for values that can vary or are yet to be determined within a given context. In algebraic equations, variables enable the representation of relationships between quantities, facilitating problem-solving and mathematical modeling.
By assigning specific values to variables, equations can be solved, functions can be evaluated, and patterns can be analyzed. Variables are fundamental in various mathematical concepts, including equations, inequalities, functions, and formulas, allowing for flexible and dynamic representations of mathematical relationships.
a triangle has sides of lengths 6 and 9. What value could the length of the third side?
Your friend's final bowling score is 105. Your final bowling score is 14 pins less than your friend's final score. Write and solve an equation to find your final score. Use x to represent your final score.
Equation:
=105
ASAP During a 4-month-long drought, the water level in a lake changed by
−3
1
2
feet. The water level changed at the same rate each month.
What is amount the water level changed in 1 month?
Enter your answer in the box.
3 1/2 = 7/2
7/2 / 4 = 7/8
it changed by -7/8 feet = 10 1/2 inches each month
The amount of changes of water level in a lake for 1 month will be
⇒ - 7/8 feet
What is mean by Fraction?
The fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
In 4 month long drought,
The changes of water level in a lake = - 3 1/2 feet.
Now,
Find the changes in water level for 1 month as;
Since,
The changes of water level in a lake for 4 month = - 3 1/2
After change the mixed fraction in a improper fraction as;
- 3 1/2 = - 7/2
Thus, The changes of water level in a lake for 4 month = - 7 / 2
So, The changes of water level in a lake for 1 month = - 7 / 2 ÷ 4
After divide we get;
The changes of water level in a lake for 1 month = - 7 / (2 x 4)
= - 7 / 8
Therefore,
The amount of changes of water level in a lake for 1 month will be
⇒ - 7/8 feet
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how to make a percentage a fraction and a decimal
Final answer:
To convert a percentage to a fraction, write it with a denominator of 100 and simplify. To make it a decimal, divide by 100. Convert a decimal to a percentage by multiplying by 100, and to a fraction by writing it with the place value as the denominator.
Explanation:
To convert a percentage to a fraction, you express the percentage value as a fraction with a denominator of 100. For instance, to convert 25% to a fraction, you write it as 25/100, which can be simplified to 1/4. When converting a percentage to a decimal, you divide the percentage value by 100. So, 25% as a decimal is 0.25.
To convert a decimal to a percentage, you multiply the decimal by 100 and add the percent symbol (%). For example, the decimal 0.83 would be 83% when converted to a percentage. To make a decimal a fraction, you express it in terms of its place value as a denominator and simplify if possible. For example, 0.83 can be expressed as 83/100 as a fraction.
Calculating percent composition involves using the part-total relationship. If you know the fractional score, you multiply it by 100 to find the percentage score. For instance, if you get 96 out of 100 on a test, you calculate the percentage composition by dividing 96 by 100 to get 0.96, then multiply by 100 to get 96%.
My teacher In music is making us do a paper on bands ( more like lesser known)
I already chose a couple
Panic! At The Disco
Grouplove
Portugal The Man
I need one more any suggestions
2p=kx-t how do you solve for x
To solve for 'x' in the equation 2p=kx-t, you would first need to isolate 'x' on one side of the equation. Add 't' to both sides to get 2p + t = kx, then divide through by 'k' to solve for 'x'. Hence, x = (2p + t) / k.
Explanation:To solve the equation 2p=kx-t for x, you would first need to isolate x on one side of the equation. This can be done by adding 't' to both sides of the equation, which results in 2p + t = kx.
Then, to isolate 'x', you would divide both sides of the equation by 'k'. So, the solution for x would be x = (2p + t) / k.
This rearrangement allows you to solve for x in terms of p, t, and k. This is an exercise in algebra, with the goal of isolating the variable you are attempting to solve for, in this case, x.
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What numbers fit in the range of 13-23
you used p minutes one month on your cell phone the next month you used 75 fewer minutes
Matthew has a rectangular area in his backyard that is 9 meters long and 6 meters wide, he wants a fence that would go around it as well as grass sod to cover it. How many meters of fence will he need?
Answer:7
Step-by-step explanation:
At 5 a.m., the temperature at an airport was −9.4°F . Six hours later, the temperature was 2.8°F . Which expression represents the total temperature change over the six hours?
Answer:
|2.8 - (-9.4)|
Step-by-step explanation:
The correct answer is |2.8 - (-9.4)|.
how would i solve |-9x|=64
How does identifying the part and the whole help you to write the percent proportions
the high school lunch menu repeats every 6 school days the middle school lunch menu reapeat every 8 school days on march 5th both school served chicken wraps what is the next calendar date on which both schools will serve chicken wraps
To find the next date both schools will serve chicken wraps, we find the least common multiple of the days their menus repeat, which is 24 days. We then count 18 school days (excluding weekends) from March 5th.
Explanation:This question is about finding the least common multiple (LCM) of 6 and 8, which are the days that the lunch menus repeat for the high and middle schools respectively. The LCM of 6 and 8 is 24. This means that both schools will serve chicken wraps every 24 school days.
Assuming that March 5th falls on a school day, and that the school operates from Monday to Friday with the weekends off, we subtract weekends from this period. In a span of 24 weekdays, there are usually around 6 weekend days (3 weekends). So, from March 5th, we count 18 school days forward (24 days minus 6 weekend days). The result gives us the next day both schools serve chicken wraps.
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Three bags of wheat, two bags of corn, and one bag of oats weigh the same as one bag of wheat, one bag of corn and five bags of oats. If two bags of corn and one bag of oats weighs 26 pounds, and one bag of corn weighs 10 pounds, how much does one bag of wheat weigh?
3/8__1/4
greater than
less than
equal too
EXPLAIN
3/8 = 0.375
1/4 = 0.25
0.375 is greater than 0.25
so 3/8 is greater than 1/4
The total land area on earth is about 6×10 to the seventh power square miles. The layered of Australia is about 3×10 to the six power square miles. About how many times larger is the land on earth than land of Australia
snow fell 20% of the days in November. How many days in November did it snow. (Hint There are 30 days in November. )
An airplane flies 105 miles in 1/2 hour. How far can it fly in 1 and 1/4 hours at the same rate of speed?