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3 years ago

Evaluate the expression 2 4/5+1/2

Mathematics

2 answers:

goldenfox [79]3 years ago

7 0

Answer:

3 3/10

Explanation:

2 4/5 + 1/2 [change 2 4/5 to an improper fraction]

14/5 + 1/2 [make both fractions have a common denominator]

28/10 + 5/10 [add the numerators, leave the denominator the same]

33/10 [change back into mixed number]

3 3/10

sukhopar [10]3 years ago

5 0

Answer:

3 3/10

Step-by-step explanation:

Step 1: Convert 2 4/5 to improper

2 4/5 = 14/5

Step 2: Rewrite

14/5 + 1/2

Step 3: Find common denominator

14/5(2/2) + 1/2(5/5)

28/10 + 5/10

Step 4: Add

33/10

Step 5: Simplify

3 3/10

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6 0

3 years ago

Read 2 more answers

the length of a rectangle is 2 inches longer than twice its width. If the area of the rectangle is 24 square inches, what are th

gregori [183]

Answer:

The length is 8 inches and the width is 3 inches

Step-by-step explanation:

Let w represent the width.

The length can be represented by 2w + 2

Use the area formula, A = lw, and plug in the area and the expressions for the length and width:

A = lw

24 = (2w + 2)(w)

Simplify and solve for w:

24 = 2w² + 2w

2w² + 2w - 24

Divide everything by 2:

w² + w - 12

Factor:

(w + 4)(w - 3)

Set equal to 0 and solve for each factor:

w + 4 = 0

w = -4

w - 3 = 0

w = 3

Since the width cannot be negative, the width has to be 3.

Next, find the length by plugging in 3 as w:

2w + 2

2(3) + 2

= 8

So, the length is 8 inches and the width is 3 inches

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3 years ago

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Answer:

C. $a_n=(9)(\frac{2}{3})^{n-1}$

Step-by-step explanation:

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$a_n=a_1x^{n-1}$

Recursive geometric sequence:

$a_n=xa_{n-1}$

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

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2 years ago

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