Solve each system by graphing or using a table. Check your answers.

Drag each expression to the box that describes the expression.

den301095 [7]

Step-by-step explanation:

Quotient of Two Differences

From the given expressions,

$\frac{4-9}{6-1}$ is the expression which is basically the quotient of two differences.

As

$4-9$ is the first difference
$6-1$ is the second difference
As the quotient is basically the ratio of two items or expressions. So, $\frac{4-9}{6-1}$ is basically the quotient of two differences.

Difference of Two Products

From the given expressions,

$(4)(5)-(2)(8)$ is the difference of two products.

As

$(4)(5)$ is the first product - a product of 4 and 5

$(2)(8)$ is the second product - a product of 2 and 8

Therefore, the difference of two products would be represented as $(4)(5)-(2)(8)$ .

Similarly,

$5(2)(7)-(3)(8)$ is the difference of two products.

As

$2(5)(7)$ is the first product - a product of 2, 5 and 7

$(3)(8)$ is the second product - a product of 3 and 8

Therefore, the difference of two products would be represented as $5(2)(7)-(3)(8)$ .

Product of two quotients

From the given expressions,

$\frac{3-2}{5-8}.\frac{1-7}{9-4}$ is the product of two quotients

As

$\frac{3-2}{5-8}$ is the first quotient - a quotient of $3-2$ and $5-8$ .

$\frac{1-7}{9-4}$ is the second quotient - a quotient of $1-7$ and $9-4$

Therefore, $\frac{3-2}{5-8}.\frac{1-7}{9-4}$ is the product of two quotients.

None of These

From the given expression,

(11 ÷ 5) $(\frac{1-4}{6-12})$ and $\frac{9}{2}$ ÷ $\frac{14}{7}$ are the remaining expressions that will come under 'None of These' as they do not lie under other categories like Quotient of Two Differences, Difference of Two Products, or Product of two quotients.

Keywords: Quotient of Two Differences, Difference of Two Products, Product of two quotients.

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7 0

3 years ago

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For a fruit salad recipe, Jenna combined 3/8 cup of raisins, 7/8 cup of oranges, and 3/4 cup of apples. How many cups of fruit a

Murrr4er [49]

2 cups of fruit salad

8 0

3 years ago

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Solve for D 6/34 = D/68

babunello [35]

If you would like to solve for the variable in the proportion 6/34 = D/68, you can do this using the following steps:

6/34 = D/68 /*68
D = 6/34 * 68
D = 12

The correct result would be D = 12.

3 0

3 years ago

What is the combined perimeter of these two rectangles 4x+5 and 2x+7 and 3x+14 and 3x

Marysya12 [62]

Answer:

The combined perimeter is 24x + 52 units

Explanation:

1- Let's get the perimeter of the first rectangle:

The dimensions of the first rectangle are 4x+5 and 2x+7 units

Perimeter of rectangle = 2(length + width)

Perimeter of first rectangle = 2 (4x+5+2x+7)

Perimeter of first rectangle = 2 (6x + 12)

Perimeter of first rectangle = 12x + 24 units

2- Let's get the perimeter of the second rectangle:

The dimensions of the second rectangle are 3x+14 and 3x units

Perimeter of rectangle = 2(length + width)

Perimeter of second rectangle = 2 (3x+14+3x)

Perimeter of second rectangle = 2 (6x + 14)

Perimeter of second rectangle = 12x + 28 units

3- Finally, let's get the combined perimeter:

Combined perimeter will be the summation of the two perimeters

Combined perimeter = 12x + 24 + 12x + 28

Combined perimeter = 24x + 52 units

Hope this helps :)

8 0

4 years ago

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Final answer is x=4 Help me out with question 4

Marina CMI [18]

Answer: x = 4/5

Step-by-step explanation:

$\tan\ y=\dfrac{\text{side OPPOSITE y}}{\text{side ADJACENT to y}}=\dfrac{1}{6}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \dfrac{x}{x+4}=\dfrac{1}{6}\\\\\\\text{Cross multiply, distribute, and solve for x:}\\6(x)=1(x+4)\\6x=x+4\\5x=4\\\\\large\boxed{x=\dfrac{4}{5}}$

4 0

3 years ago