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Likurg_2 [28]
3 years ago
7

Which expression is equivalent to 1/3 (5x + 3y) + 2/5y + 7 ?

Mathematics
1 answer:
sveta [45]3 years ago
8 0

Answer:

Step-by-step explanation:

Hello

Which expression is equivalent to 1/3 (5x + 3y) + 2/5y + 7 ?

a. 5/3x + 2/5y + 7

b. 5/3x + 7/5y + 7

c. 15x + 9 2/5y + 7

d. 15x + 2/5y + 7

1/3 (5x + 3y) + 2/5y + 7

= 5/3 x + y + 2/5 y + 7

= 5/3 x + 5/5 y + 2/5 y + 7

= 5/3 x + 7/5 y + 7

Answer : b

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Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?
Vedmedyk [2.9K]
W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)
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If salt (5.99 × 10–6 mol) is dissolved in 1.50 × 10–2 l of water, which expression can be used to find the molarity of the resul
kolezko [41]

The molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M

<h3>Molarity of a solution</h3>

From the question, we are to determine the molarity of the resulting solution

From the given information,

Number of moles = 5.99 × 10⁻⁶ mol

Volume = 1.50 × 10⁻² L

Using the formula,

Molarity = Number moles / Volume

∴ Molarity = (5.99 × 10⁻⁶) / (1.50 × 10⁻²)
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Hence, the molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M

Learn more on Calculating molarity here: brainly.com/question/23051191

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Step-by-step explanation:

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