Answer:
x = 45
y = 37
z = 23
Step-by-step explanation:
x + y + z = 105
x = z + 22
x + 15 = y + z
(z + 22) + 15 = y + z
37 = y
x + y + z = 105
(z + 22) + 37 + z = 105
2z = 46
z = 23
x + y + z = 105
x + 37 + 23 = 105
x = 45
The number of different dinner combinations for each student that are possible is 24
<h3>How many different dinner combinations for each student are possible?</h3>
The given parameters are:
Entree choices = 3
Side dish = 4
Beverage = 2
The number of different dinner combinations for each student that are possible is
Combination = Entree * Side dish * Beverage
This gives
Combination = 3 * 4 * 2
Evaluate
Combination = 24
Hence, the number of different dinner combinations for each student that are possible is 24
Read more about combination at:
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Answer:
Simple multiplication gets you 124
Step-by-step explanation:
9x13=117
117+7=124
Maya now has 124 cookies
9 reps bags, 13 reps cookies, 7 reps cookies already had.
The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is
(x¹³)
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x²/x⁻¹¹)¹/₃
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
(x⁽²⁻⁽⁻¹¹⁾)¹/₃
(x⁽²⁺¹¹⁾)¹/₃
(x¹³)¹/₃
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:
x⁽¹³*¹/₃⁾
x⁽¹³/₃⁾
As we have a fractional exponent, you must convert the exponent to root:
(x¹³)
<h3>What is an exponent?</h3>
In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
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Answer:
Incorrect. 1 solution.
Step-by-step explanation:
Mark is incorrect because to find x from 8x=48 you must perform the following steps:
Divide the 8 from both sides resulting in
x=6