There is an average of 3.5 x 10^−2 kilograms of dissolved salt in each liter of seawater. The Pacific Ocean contains approximately 6.6 × 10^20 liters of seawater. About how many kilograms of dissolved salt are in the Pacific Ocean? Enter your answer, in scientific notation, in the boxes. __×__10 kg
To find how many kilograms of dissolved salt are in the Pacific Ocean, multiply the amount of salt per liter by the total volume of water, giving a total of 2.31 x 10^19 kg.
The Pacific Ocean contains approximately 6.6 × 1020 liters of seawater, with an average of 3.5 x 10-2 kilograms of dissolved salt per liter.
To calculate the total amount of salt in the Pacific Ocean, you multiply the amount of salt per liter by the total volume of water.
So, the total amount of salt in the Pacific Ocean is 2.31 x 1019 kg.
Mr. Collins is constructing a fence around his property. He already has 25 sections up and plans to add 8 sections each Saturday until he is finished. Find the total number of fence sections standing after 15 Saturdays.
The total number of fence sections standing after 15 Saturdays will be 145.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Mr. Collins has 25 sections up.
And, He plans to add 8 sections each Saturday until he is finished.
Now,
By the given condition we formulate;
The total number of fence sections standing after 15 Saturdays is calculated as;
= 25 + 8 x 15
= 25 + 120
= 145
Thus, The total number of fence sections standing after 15 Saturdays will be 145.
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Write the subtraction fact 10-3 two ways
The Subtraction [tex]10-3[/tex] is equal to [tex]\boxed7[/tex].
Further Explanation:
Given:
The expression is [tex]10-3[/tex].
Calculation:
Suppose John has [tex]10[/tex] chocolates in his pocket. He eats [tex]3[/tex] chocolates and then he wants to know how many chocolates he has.
The number of chocolates left can be obtained as,
[tex]10 - 3 = 7[/tex]
John left with [tex]7[/tex] chocolates.
The second way to subtract two numbers is number line.
A straight line that has all real numbers is known as number line.
Steps involve in subtraction of two numbers are as follows.
Step 1
Jump forward the number of times the first number is.
Step 2
Jump backward the number of times the second number is.
Here, we have to subtract 3 from 10.
Steps are as follows,
1. Jump 10 times forward on the number line.
2. Jump 3 times backward on the number line.
The final position is the answer that is 7.
Kindly refer to the image attached to the question.
Learn more:
1. Learn more about multiplication of two numbers https://brainly.com/question/573729
2. Learn more about subtraction of two numbers https://brainly.com/question/5723059
3. Learn more about division https://brainly.com/question/545132
Answer details:
Grade: junior School
Subject: Mathematics
Chapter: Subtraction
Keywords: subtraction, two ways of subtraction, fact of subtraction, expression, number line, jump, ten, three, seven, real numbers.
math question down below
Factor the expression x2-6x+9
The factored form of [tex]\(x^2 - 6x + 9\)[/tex] is [tex]\((x - 3)^2\)[/tex].
To factor the expression [tex]\(x^2 - 6x + 9\)[/tex], we'll use a technique called "completing the square."
Write the expression [tex]\(x^2 - 6x + 9\)[/tex].
Identify the perfect square trinomial. Since (9) is a perfect square and (2) times the square root of (9) equals (6), we can rewrite the expression as [tex]\((x - 3)^2\)[/tex].
Check the correctness of your result by expanding [tex]\((x - 3)^2\)[/tex] to ensure it equals [tex]\(x^2 - 6x + 9\)[/tex]. Expanding [tex]\((x - 3)^2\)[/tex] gives us [tex]\(x^2 - 6x + 9\)[/tex], which matches the original expression.
So, the factored form of [tex]\(x^2 - 6x + 9\)[/tex] is [tex]\((x - 3)^2\)[/tex].
WhAt is the answer to -12 - 3=-51
12.75 is 25% of what number
Jessica purchase for the same type of scented candles Each of which are on sale for $2 off added the discount was applied the total cost for each candle is $19 what is the regular price of each candle
Final answer:
The regular price of each scented candle is $21, calculated by adding the $2 discount to the sale price of $19.
Explanation:
The regular price of each candle can be calculated by adding the discount back to the sale price.
If each candle costs $19 after a $2 discount, we just need to add the $2 discount to the sale price to find the regular price.
To calculate the regular price:
$19 (sale price) + $2 (discount) = $21 (regular price)
So, the regular price of each scented candle is $21 before the discount is applied.
Atticus wants to buy of a square yard of wrapping paper. The paper costs $2.40 per square yard. How much will Atticus spend on the wrapping paper?
a.$1.60
b.$4.80
c. $7.20
d. $9.20
Final answer:
Atticus will spend $1.80 on the wrapping paper when purchasing ¾ of a square yard at a cost of $2.40 per square yard, multiplying 0.75 by 2.40. However, this is not an option provided, indicating a possible typo. The closest choice to the correct answer given the options would be $1.60. (Option a)
Explanation:
The question asks how much Atticus will spend if he wants to buy ¾ of a square yard of wrapping paper, and the cost of one square yard of wrapping paper is $2.40. To find the cost of ¾ of a yard, we multiply ¾ by the cost per square yard. Here is the calculation:
Cost of ¾ yard = ¾ * $2.40
First, we convert ¾ into a decimal to make multiplication easier:
¾ = 0.75
Now, multiply:
0.75 * $2.40 = $1.80
Therefore, Atticus will spend $1.80 on the wrapping paper. However, this amount is not listed in the answer choices provided. If this is simply an error in the choices given, Atticus would spend $1.80, but based on the options presented, the closest correct choice would be (a) $1.60, suggesting there may be a typo in the question.
Anna made withdrawals from her bank account of $60, $85, and$ 115. Write and solve an addition problem that shows her withdrawals as negative integers.
You have -30 point in a video game. You earn 57 point. What is your final score?
in part a and in part b, use each of the digits 2, 3, and 4 exactly once.
B: Write a mixed number that has a repeating decimal, and write the decimal.
I already have the answer to A. Plz help me. thx ;)
Step-by-step explanation:
you need yo add and multiply the munbers
Rasheed needs to save 231$ To earn money he plans to wash cars and charge $12 per car. Write two estimates Rasheed could use to determine how many cars he needs to wash
A = 9 over 2 (b + 35)
What is the length of line segment AB?
Answer:
10 units
Step-by-step explanation:
Could someone pls help
Alex has 175 baseball cards.Rodney has 3 times as many baseball cards as Alex.How many fewer cards does Alex have than Rodney?
what is the cube root of 8/25
A plumber charges $30 per hour and $42 for each hour of overtime. For a job, the plumber works 3 regular hours, h overtime hours,and charges $195 for new parts. The total amount of the bill for the job is $390. Write and solve an equation to find the number of overtime hours the plumber worked.
8x-2y=12 solve for y and slope
The required solution is y = 4x - 6 and slope is 4.
What is the equation of line?The general equation of straight line is
y = mx + c
where, m is the slope
and c is the intercept where the line cuts the y-axis.
Now the given equation is,
8x - 2y = 12
Dividing whole equation by 2 we get
4x - y = 6
Substacting 4x to the both side,
4x - y -4x = 6 -4x
Solving,
- y = 6 -4x
Multiplying whole equation by -1 we get,
y = 4x - 6
Comparing the above equation with the general equation of line
y = mx + c
Hence we get,
m= 4 which the slope,
and c = -6
Hence,the required solution is y = 4x - 6 and slope is 4.
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Two less than the product of a number and -5 is -42
The value of that number such that two less than the product of a number and -5 is -42 will be 8.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
If and only if the number being multiplied is more than one, multiplication produces a resultant number that is significantly larger than the original number.
Let's say that number is x
Given condition
Product of x and -5 = -5x
Two is less than = -5x -2
Equal to -42
So,
-5x - 2 = - 42
x = 8
Hence the correct answer is 8.
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Courtney takes 2.4 x 10 to the 4th power steps during her long distance run each step covers an average of 810 mm what's the distance and then it is that going to cover during her run and scientific notation then convert the distance to the appropriate unit kilometers write answer in standard form
what is the multiplicative rate of change for the following coordinates (-1, .8) (0,2) (1,5) (2,12.5)
what is the definition of perfect cube and can you give an example
Final answer:
A perfect cube is a number that results from an integer being multiplied by itself two additional times. The number 27 is an example of a perfect cube, which is the result of 3 × 3 × 3. While the concept of a cube is also significant in chemistry, the mathematical perfect cube is different from geometric or chemical descriptions of cubes.
Explanation:
A perfect cube is a number that can be expressed as the product of an integer multiplied by itself three times. It is the cube of an integer. For instance, when you multiply 3 × 3 × 3, you get 27, which is a perfect cube because it is the result of an integer (3) multiplied by itself two more times.
The number 27 is an example of a perfect cube in mathematics.A Rubik's cube, such as the one described with a volume of 185.2 cm³, is a real-world example of a cubic shape, although not related to the mathematical concept of a perfect cube.The properties of geometric shapes, like a cube, are significant in various fields, including chemistry, where the concepts of face-centered cubic unit cell become important in studying crystal structures.
6.8+4.3+5.6 estimate a range for each sum
A photograph is 5 1/3 inches wide. It is being enlarged to 3 times its original size. What is the width of the enlarged photograph?
My book is 58 pages. I have already read 13 pages. I plan to read 5 pages each day until I finish the book.
Which equation could I use to find how many days (d) it will take to finish reading the book?
A. (58+13)÷5=d
B. (58-5)÷13=d
C. (58-13)÷5=d
D. (58+13)×5=d
what answer i need fast
2/3 cup pineapple for every 1/3 cup OJ
there are three 1/3 cups in 1 cup
so multiply 2/3 by 3
2/3 * 3 = 6/3 = 2
2 cups of pineapple juice is needed
In which place should you write the first digit of the quotient 3381 divided 47 how can you determine that without using division
To identify where the first digit of the quotient will go when dividing 3381 by 47 without actual division, start from the leftmost digit of 3381. Since 47 is a two-digit number, take the first two digits from 3381. Since 47 can be subtracted from '33' zero times, move to the next digit, forming '338'. The first digit of the quotient will be in the hundreds place.
Explanation:To determine where to write the first digit of the quotient when dividing 3381 by 47 without actually performing the division, you can utilize an understanding of place values. Looking at the divisor, 47, it is a two-digit number. Hence, you need a two-digit number or greater from the dividend, 3381, to start the division.
Starting from the leftmost digit (the highest value place), we take the first two digits, which give us '33'. In this case, 47 can be subtracted from '33' only zero times. Therefore, move onto the next digit, forming '338', a 3-digit number. Now, 47 can be subtracted from '338', thus the first digit of the quotient will go in the hundreds place.
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The table below shows the salvage value for raw steel.
Tons of Steel Salvage Value
0 $0.00
2 $420.00
4 $840.00
6 $1,260.00
8 $1,680.00
10 $2,100.00
Based on the information in the table, what is the price per ton for raw steel? A. $220 B. $200 C. $210 D. $252
Answer:
$190
Step-by-step explanation:
The salvage value can be modeled by the function y = kx, where x is the number of tons of steel, y is the salvage value, and k is the price per ton.
Pick a point from the table, (2, 380), and evaluate the function y = kx at this point.
Therefore, the price per ton for raw steel is $190.
Final answer:
Based on the provided table, the price per ton for raw steel is calculated by dividing the salvage value by the tons of steel. The consistent result across the table is $210 per ton, making the correct answer C. $210.
Explanation:
To determine the price per ton for raw steel based on the table provided, we need to analyze the consistent increase in salvage value with respect to the tons of steel. Looking at the table:
For 2 tons of steel, the salvage value is $420.
For 4 tons of steel, the salvage value is $840.
For 6 tons of steel, the salvage value is $1,260.
For 8 tons of steel, the salvage value is $1,680.
For 10 tons of steel, the salvage value is $2,100.
To find the price per ton, we can divide the salvage value by the number of tons of steel. For example:
$$420 \div 2\text{ tons} = $210 \text{ per ton}$$
The price per ton remains consistent for every salvage value given, confirming that the price per ton of raw steel is $210.
Therefore, the correct answer is C. $210.