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Lisa [10]
3 years ago
5

Stephanie and her friend go to a restaurant for dinner. The bill includes the dinner charges of $76.22. The food bill comes up t

o $89 If each person orders dessert and the deserts cost the same amount, how much did each dessert cost?
Please include the equation for example (49x+42,900>57,782)
As Well As the "x" variable.
Mathematics
1 answer:
Reil [10]3 years ago
4 0

Answer:

($89 - $76.22) / 2 = x ----> $6.39

Step-by-step explanation:

($89 - $76.22) / 2 = x

Since the total cost was $89, subtract the dinner cost, $76.22, and divide by two for each friend to get the cost of each desert.

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Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m
Dovator [93]

Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }

Cancelling the like terms, we have,

\frac{3^{-3}m^{5} n^{-1}}{6 }

This equation can also be written as,

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Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer.

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3 years ago
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4 0
3 years ago
If Ray earns $120 for 15 hours of work how much will he earn for 20 hours of work at the same rate​
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8 0
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prisoha [69]
#2
2x - 4y = -2
2x + 3y = -16
------------------subtract
-7y = 14
y = 14/-7
y = -2

2x - 4y = -2
2x - 4(-2) = -2
2x + 8 = -2
2x = -2 -8
2x = -10
x = -10/2
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answer x = -2 and y = -5

check:

2(-5)- 4(-2) = -2
-10 +8 = -2
-2 = -2.....true

2x + 3y = -16
2(-5)+3(-2) = -16
-10 + (-6) = -16
-16 = -16...true


3 0
2 years ago
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