how do you factor this expression by dividing by the GCF first. 15c-25

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.

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.

Answer:

10 units

Step-by-step explanation:

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 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.

The required solution is y = 4x - 6 and slope is 4.

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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The value of that number such that two less than the product of a number and -5 is -42 will be 8.

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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Answer:

A,C,D is the answer  

Step-by-step explanation:

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.

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

Step-by-step explanation:

you need yo add and multiply the munbers

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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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.

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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.

Answer:

Use the drop-down menus to complete the statements.

In order for f–1(x) to be a function, the domain of f(x) can be restricted to  

✔ x ≥ 1

.

Under this restriction, the domain of f–1(x) would be  

✔ x ≥ 2

, having the same minimum value as the  

✔ range of f

.

Step-by-step explanation:

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].

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.

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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