math question down below

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.

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

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.

The x-intersection of y=4x+8 is at the point (-2,0) and the y-intersection is at the point (0,8).

We want to find the points where the line y=4x+8 intersects the x and y-axis.

For the x-intersection, we set y=0.

So, 0=4x+8, which simplifies to x = -2. So, the x-intersection is at the point (-2,0).

For the y-intersection, we set x=0.

So, y=4*0+8, which gives y = 8. So, the y-intersection is at the point (0,8).

To find the x-intercept, set y=0 and solve for x:

0 = 4x + 8

x = -2

So, the x-intercept is (-2, 0).

To find the y-intercept, set x=0 and solve for y:

y = 4(0) + 8

y = 8

So, the y-intercept is (0, 8).

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Answer:

The answer is D.

Step-by-step explanation:

First divide:

-24/-6 is 4.

Now you have 4 - 4

subtract:

4-4 = 0.

Answer:  6 steps forward and 6 steps backward

Hope this helped :D

Answer:

10 units

Step-by-step explanation:

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.

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].

The lower bound of the width of the rectangle is 19.35 mm. Without the length, we cannot determine the exact lower bound for the area of the rectangle. However, if we know the length, we can calculate it by multiplying the length by 19.35 mm.

The lower bound of the width of the rectangle, measured to one decimal place, is slightly less than the measured value. Thus, the lower bound of the width would be 19.35 mm (since we are accurate to 1 decimal place). However, without information about the length of the rectangle, we cannot exactly determine the lower bound of the area of the rectangle.

But if we assume the length to be a certain value (let's say 'L'), the lower bound for the area (A) would be the product of this length and the lower bound of the width. So,

A = L*19.35 mm.

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Option A is correct. The equivalent expression is −2.1−(5.9+3.7)

Given the expression −2.1+(−5.9)+(−3.7)

Before we can determine the equivalent expression, we need to first know that:

The given expression then becomes;

−2.1+(−5.9)+(−3.7) = -2.1 - 5.9 - 3.7

Factoring out the negative sign from the last two terms;

 -2.1 - 5.9 - 3.7 =  -2.1 - (5.9 + 3.7)

Hence the equivalent expression is −2.1−(5.9+3.7)

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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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Answer:  The required number of brushes that each student receive is 12.

Step-by-step explanation:  Given that an  art teacher has 40 paint brushes.she divides them equally among her 4 students.

She finds 8 more brushes and divides these equally among the students, as well.

We are to find the number of brushes that each student receive.

The total number of brushes that divides among the 4 students is

[tex]n=40+8=48.[/tex]

Since there were 4 students, so the number of brushes that each student receive is

[tex]n_b=\dfrac{n}{4}\\\\\\\Rightarrow n_b=\dfrac{48}{4}\\\\\Rightarrow n_b=12.[/tex]

Thus, the required number of brushes that each student receive is 12.

Answer: 55%

Work:

99 + 121 = 220

121 / 220 = 0.55 = 55%

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.

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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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

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.