If Marianne's father calls and says he needs 13 pounds of potting soil how many additional bags should she buy

Answers

Answer 1

Answer: 13 but it depends on how many pounds of poting soil the bags can carry

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Which expression is equivalent to (3/4)^-216/9−9/169/16−6/8

Which table represents a nonlinear function?

Answers

Answer:

The table that represents the nonlinear function is the one where the x-values are -7, -5 and 0 and the y-values are -3, 0 and 3.

Step-by-step explanation:

In order for a table to represent a linear function, there needs to be a consistent change in y-values divided by the change in x-values. For example, for any two points on the table when we subtract two y-values and divide by the number we get when we subtract two x-values, this change should be represented throughout the table. So, in the case of the other three tables, when we choose two points from the table, such as (-5, 7) and (-2,6) and put them into an equation (y2-y1/x2-x1) or (6-7)/(-2-(-5)) we would get a change of -1/3. However, when we apply this concept to the table where x-values are -7,-5, and 0, we see that the change is not consistent between points, so the function must be nonlinear.

Explain when you know you need to rename a mixed number to subtract

Answers

We have already learned about renaming fractions when we have two different denominators. To rename a fraction means that we are going to take the fractions and write an equivalent fraction that has a common denominator.

13=39

This is an example of renaming one-third to be three-ninths. The fractions are equivalent or equal, but the second fraction has a denominator of 9.

Sometimes when we subtract mixed numbers, we must rename the mixed numbers in a different way.

What does this mean? It means that when we are subtracting a mixed number from a whole number, we must rename to subtract correctly.

Let’s look at an example.

Example

6−456––––––––

In this example, we are trying to take a fraction from a whole number. We have to RENAME this whole number to do this.

How can we rename 6 to have a whole number part and a fraction part?

Think back. Remember when we learned that any fraction where the numerator and the denominator are the same that the fraction is equal to one?

1=44 or 33 or 55

Do you remember this? Well, if we can take one and rename it as a fraction, then we can use that to help us in our subtraction.

In the example above, we need to take 6 and make it a mixed number so that we can subtract. To do this, we borrow a one from the six and make it five. Then we take that one and make it into a fraction that has sixths as a denominator since that is the denominator of the fraction we are subtracting.

6=566

Next, we rewrite the problem.

Example

566−456–––––––– 116

This is our final answer..

Sometimes, we also have to rename a mixed number if the fraction we are subtracting is larger than the first fraction.

Example

619−349––––––

Simplify the expression: 5( 2j + 3 + j) using the distributive and commutative properties and combining like terms below: (i need 2 equations)

Answers

Answer:

5( 2j+j+3)

15j + 15

Step-by-step explanation:

5( 2j + 3 + j)

Combine like terms

5( 2j+j+3)

5( 3j + 3 )

Distribute

5*3j + 5* 3

15j + 15

Answer:

15j + 15, or 15(1 + j).

Step-by-step explanation:

We must do the work inside the parentheses first. We get 5( 2j + j + 3), or

5(3j + 3), and then 15j + 15, or 15(1 + j).

174/216 reduces to what?

Answers

To simplify 174/216, all you do is keep dividing until the two numbers are undivisable by the same number. First I would divide by 2 to get 87/108. Then I would divide by 3 to get 29/36. 29 is a prime number therefore I can not divide by any whole number exact 1 and itself to get another whole number. Futhermore the answer is 29/36.

Explain why relationship between capacity and fluid ounces

Answers

Well capacity is how much space u can put in an object something is and ounces is the measure of how much is in so the capacity can be like 5 ounces

A line passes through (2, 8) and (4, 12). Which equation best represents the line?y = 1 over 2 x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2 x + 10

Answers

The equation which best represents the line with the given points (2, 8) and (4, 12)is $y = 2x + 4$ .

Given the following points:

Points on the x-axis = (2, 8).

Points on the y-axis = (4, 12).

To determine the equation which best represents the line, we would find its slope by using the following formula:

The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following formula;

$Slope. \;m = (Change \; in \; y \;axis)/(Change \; in \; x \;axis) \n\nSlope. \;m = (y_2 - y_1)/(x_2 - x_1)$

Substituting the given points into the formula, we have;

$Slope. \;m = (12 - 8)/(4 - 2)\n\nSlope. \;m = (4)/(2)$

Slope, m = 2.

The standard form of an equation of line is given by the formula;

$y = mx + c$

Where:

x and y are the points.

m is the slope.

b is the intercept.

Next, we would solve for the intercept:

$y = mx + b\n\n8 = 2(2) + b\n\n8 = 4 + b\n\nb = 8 - 4$

Intercept, b = 4.

Finally, we can now write the equation which best represents the line as follows:

$y = 2x + 4$

You need to calculate it's slope.
(x₁,y₁) = (2,8) and (x₂,y₂) = (4,12)
Now,(y₂-y₁) = m(x₂-x₁)
(12-8) = m(4-2)
2m = 4
m = 4/2
m = 2

Now, take any one point for calculation of b in equation;
8 = 2(2) + b
b = 8 - 4
b = 4

So, Equation of the line would be: y = 2x + 4

In short, Your Answer would be Option C

Hope this helps!

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