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Artyom0805 [142]
3 years ago
13

Which property best justifies why the two expressions below are equivalent? 3(m + 5) = 3m + 15

Mathematics
2 answers:
fgiga [73]3 years ago
8 0
Distributive property
malfutka [58]3 years ago
4 0
The distribution property is the best justification.
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1/2 is the simplest form
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2 years ago
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I need help on this parallelograms math problem.
Andrews [41]

w=37

2w+w+69= 180 knowing that all triangles add up to 180 form an equation

3w+69=180 combine like terms and subtract 69 from both sides

3w=111 divide by 3 from both sides

w=37

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3 years ago
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a car covers a distance of 450 miles in one minute where is a train covers 69 km in 45 minutes find the ratio of their speed​
liberstina [14]

Answer:

69 plus 45 mius 450 equals 98

7 0
3 years ago
Graph the data. Then find and interpret the slope of the line through the points.
denpristay [2]

Answer:

4. The slope is 1.5 pages per minute

The interpretation is 1.5 pages takes 1 minute to complete

5. The slope is 135 Calorie per mile

The interpretation is 135 calories of energy is required or used in traveling a distance of 1 mile

Step-by-step explanation:

4. The given data are;

Minutes, x; 0, 1, 3, 5

Pages, y; 0, 1.5, 4.5, 7.5

The graph of the data created with MS Excel is included

From the graph, we have;

The slope is given by the rate of change of the y-values to the change in the x-values of the data

∴ Slope = Δy/Δx

The \ slope =\dfrac{\Delta y }{\Delta x} = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} = \dfrac{7.5 - 1.5}{5 - 1} = 1.5

The slope = 1.5 pages per minute

The interpretation of the slope is that the number of pages completed per minute is 1.5 pages

5. The given data are;

Miles, x; 0, 1, 2, 3

Calories, y; 0, 135, 270, 405

Please find attached the graph of the data created with MS Excel

From the graph, the slope = Δy/Δx = (270 - 135)/(2 - 1) = 135

The slope = 135 Calorie per mile

The interpretation of the slope is it takes 135 calories to complete 1 mile or vice versa.

5 0
3 years ago
10) Gabe put up a fence around his rectangular vegetable garden this weekend.
dybincka [34]

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

L = 16

Answer: The length is 16 ft, and the width is 3 ft.

3 0
3 years ago
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