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3 years ago

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Critique Reasoning: A student says that the perimeter of a rectangle with side lengths (2x – 1) inches and 3x inches can be writ

ten as (5x - 1)
inches, because (2x – 1) + (3x) = 5x – 1. Explain why this statement is
incorrect.

1 answer:

elena-s [515]3 years ago

3 0

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2 x 3 x 6 = 3 x 2 x 6<br><br> What property is this?

RoseWind [281]

Distributive Property
<span><span><em><u>The Distributive Property is easy to remember, if you recall that "multiplication </u></em></span><u>distributes</u><span><em><u> over addition". Formally, they write this property as "</u></em></span><span><u>a(b + c) = ab + ac</u></span><span><em><u>".</u></em></span></span>

6 0

3 years ago

In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of

n200080 [17]

Answer:

1) Between 0 and 1 minute the rate of change is 25 ft./min

2) Between 1 and 2 minute the rate of change is 0 ft./min

3) Between 2 and 4 minute the rate of change is -12.5 ft./min

Step-by-step explanation:

1) Between 0, and 1 feet, we have;

The rate of change = (Final height - Initial height)/(Final time - Initial time)

The rate of change = (40 - 15)/(1 - 0) = 25 ft/min

Between 0 and 1 minute the rate of change = 25 ft./min

2) Between 1, and 2 feet, we have;

The rate of change = (40 - 40)/(2 - 1) = 0 ft/min

Between 1 and 2 minute the rate of change = 0 ft./min

3) Between 2, and 4 feet, we have;

The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min

Between 2 and 4 minute the rate of change = -12.5 ft./min

7 0

3 years ago

Solve the equation a/a^2-9 +3/a-3=1/a+3

MAXImum [283]

Answer is: a= -4
STEP
1
:

1
Simplify —————
a + 3
Equation at the end of step
1
:

a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:

3
Simplify —————
a - 3
Equation at the end of step
2
:

a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:

a
Simplify ——————
a2 - 9
Equation at the end of step
3
:

a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3

Equation at the end of step
4
:

(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :

3a + 12 = 3 • (a + 4)

Equation at the end of step
6
:

3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)

3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)

a+4 = 0

Subtract 4 from both sides of the equation :
a = -4

7 0

2 years ago

An amusement park recently increased the cost of a family season pass. The original price was $150. The new price is $183. What

viva [34]

Answer:

1.22%

Step-by-step explanation:

150 x 1.22 = 183

6 0

2 years ago

An online photo services charge $20 to make a photo book with 16 pages each extra page cost a dollar 75 the cost to ship the com

Alisiya [41]

Answer:

The expression to determine the total cost in dollars is $y=25+0.75x$ .

Step-by-step explanation:

Given:

Service charge to make a photo book = $20

Cost per extra page = $0.75

Cost to ship the complete photo book = $5

We need to write expression to determine the total cost in dollars.

Solution:

Let the number of extra pages be denoted by 'x'.

Also Let the Total cost be denoted by 'y'.

Now we can say that;

Total cost will be equal to sum of Service charge to make a photo book and Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.

framing in equation form we get;

$y=20+0.75x+5\\\\y=25+0.75x$

Hence the expression to determine the total cost in dollars is $y=25+0.75x$ .

3 0

2 years ago