multiply Express your answer in lowest terms 1/6 * 5/7 =

Answers

Answer 1

Answer: the answer is 5/42 multiply 1*5=5 and 6*7=42 the 5 is the numerator and the denominator is 42 so you get 5/42.

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A number is multiplied by 8 , and that product is added to 2 . the sum is equal to the product of 2 and 21 . find the number.

Please show work!!!!!!!

Answers

Answer:

J. 56

Step-by-step explanation:

The picture in this question can be a little deceiving. Each rectangular glass pane is 3 by 10 inches. This means that the picture of the 4 panes overlapping, leaves the center square open. The open area has your inner edges. The question asks for the sum of the inner and outer edges.

Every pane is 10 inches long, so the out perimeter of the figure is 40 inches because the figure has four sides. The rectangles overlap, creating 3 by 3 inch square. 3 inches off either side of a pane leaves 4 inches as the length for the edge of the inner square. Therefore, the perimeter of the inner square is 16 inches.

Outer Perimeter + Inner Perimeter = 40 + 16 = 56 inches

PLEASE HELP ASAP I ONLY HAVE TILL 4:30 TO FINISH THREE TESTS!A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule

(4x2y3)(3x2y2)

where y represents the number of white tiles.

Which simplified expression represents the number of colored tiles used for a path of length x feet?

7x4y5
7x4y6
12x4y5
12x4y6

Answers

(4x²y³)(3x²y²)

4 * 3 = 12
x² * x² = x * x * x * x = x^4
y³ * y² = y * y * y * y * y = y^5

12x^4y^5 third option.

Answer:

Option C. $12x^(4)y^(5)$

Step-by-step explanation:

If x feet is the length of the path, the number of colored tiles needed to make it is calculated using the rule as

(4x²y³)(3x²y²)

Here y represents the number of white tiles.

Now simplified expression that represents the number of colored tiles used for a path of x feet length will be

= (4×3).(x².x²)(y³.y²)

= $12.[x^((2+2))].[y^((3+2))]$

= $12x^(4)y^(5)$

Therefore option C. is the answer.

Find the diagonal of a square with a perimeter of 28 inches

Answers

Perimeter of a square = 4 x the length of one side = 28 in.
Length of one side = 7 in.
Length of the diagonal = square root of (7² + 7²) = 7√2 = 9.899 in (rounded)

$a-side\ of\ square\n\nperimeter\ is\ 28in\n\n4a=28\ \ \ \ /:4\na=7\ (in)\n\nThe\ diagonal\ (d)\ equal\ a\sqrt2\n\nd=7\sqrt2\ inches.$

Simplify this expression. 2 square root 5 (13 + square root 2)

Answers

The product of 2 square root 5 (13 + square root 2) in simplified form is 26√5 + 2√10

Calculating the product in simplified form

From the question, we have the following parameters that can be used in our computation:

2 square root 5 (13 + square root 2)

Express as products

So, we have

2√5 * (13 + √2)

Open the brackets

So, we have

2√5 * (13 + √2) = 2√5 * 13 + 2√5 *√2

Multiply the radicands

So, we have the following

2√5 * (13 + √2) = 2√5 * 13 + 2√10

Evaluate the products

So, we have the following

2√5 * (13 + √2) = 26√5 + 2√10

Hence, the solution is 26√5 + 2√10

Answers

Answer: 12m by 4m.

Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.

Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.

w = x

l = x + 8

Use the equation for the perimeter.

P = 2l + 2w

Plug in your values:

32 = 2(x + 8) + 2(x)

Now, solve for x! First start by distributing the 2:

32 = 2x + 16 + 2x

Next, add like terms:

32 = 4x + 16

Subtract 16 from both sides:

16 = 4x

Divide by 4 on both sides:

4 = x

Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.

l = x + 8

Plug in your x and solve:

l = 4 + 8

l = 12

Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.

Select the system of liner inequalities whose solution is graphed

Answers

The graphed area is below the line with negative slope and above the line with positive slope. The lines themselves are not shaded, indicating that the sections on the line are not in the solution area, so the third set of inequalities is the correct one.

Answer:

C, or the third choice would be correct

Step-by-step explanation:

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