To determine the amounts of two plant foods with different nitrogen percentages to create a desired mixture, we set up and solve a system of equations based on the total volume and total nitrogen content.
Explanation:A mixture problem that involves combining two solutions with different percentages of nitrogen to achieve a solution with a desired percentage of nitrogen.
Let's denote the amount of the 9% nitrogen plant food as x gallons and the amount of the 25% nitrogen plant food as y gallons.
Given that we want to end up with 10 gallons of a 19% nitrogen mixture, we can form the following two equations based on the problem's requirements:
Equation 1: x + y = 10 (Total volume of the mixture)
Equation 2: 0.09x + 0.25y = 0.19 × 10 (Total amount of nitrogen in the mixture)
By solving this system simultaneously, we can find the values of x and y.
The second equation can also be written as 9x + 25y = 190 to work with whole numbers.
We can multiply the first equation by negative 9 and add it to the second equation to eliminate x and solve for y.
This will give us the amount of 25% nitrogen plant food needed, and by subtraction of y from 10, we can find the amount of 9% nitrogen plant food required.
Based on the results, we may need multiple gallons of the 9% nitrogen plant food and a specific number of gallons of the 25% nitrogen to achieve our desired 19% nitrogen plant food.
Final answer:
To find the number of gallons of a 9% nitrogen plant food to be combined with a 25% nitrogen plant food, we can set up an equation based on the principle of conservation of mass and solve for the variable representing the number of gallons of the 9% nitrogen plant food.
Explanation:
To find out how many gallons of a plant food that is 9% nitrogen must be combined with another plant food that is 25% nitrogen to make 10 gallons of a plant food that is 19% nitrogen, we can set up an equation based on the principle of conservation of mass.
Let x be the number of gallons of the 9% nitrogen plant food.
Then, (10 - x) would be the number of gallons of the 25% nitrogen plant food.
The equation can be set up as follows:
0.09x + 0.25(10 - x) = 0.19(10)
Solving the equation will give us the value of x, which represents the number of gallons of the 9% nitrogen plant food needed to be combined with the 25% nitrogen plant food.
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.
Could someone pls help
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.
6.8+4.3+5.6 estimate a range for each sum
WhAt is the answer to -12 - 3=-51
what is the multiplicative rate of change for the following coordinates (-1, .8) (0,2) (1,5) (2,12.5)
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.
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
what is the cube root of 8/25
Explain how to compare 0.7 and 5/8
Alex has 175 baseball cards.Rodney has 3 times as many baseball cards as Alex.How many fewer cards does Alex have than Rodney?
A = 9 over 2 (b + 35)
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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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.
12.75 is 25% of what number
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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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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math question down below
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 $21 before the discount is applied.
Which expression is equal to 0: A) -24/6 -4, B) -24/-6 +4, C) 24/6+4, D)-24/-6 -4?
Answer:
The answer is D.
Step-by-step explanation:
First divide:
-24/-6 is 4.
Now you have 4 - 4
subtract:
4-4 = 0.
Rasheed needs to save 231$ 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
If it takes Leaping Louie 5 minutes to jump 3 blocks, how long will it take for him to jump 15 blocks?
Answer:
0.6 blocks/min
25 min
Step-by-step explanation:
3 blocks ÷ 5 min = 0.6 blocks/min
15 blocks ÷ 0.6 blocks/min = 25 min
You have -30 point in a video game. You earn 57 point. What is your final score?
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
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
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.
14 less than 3 times a number is 5 more than half of the number
There are 99 males and 121 females participating in a marathon what percent of the participants are females?
Answer: 55%
Work:
99 + 121 = 220
121 / 220 = 0.55 = 55%
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 length of line segment AB?
Answer:
10 units
Step-by-step explanation: