-2y-4=4(y-1)
Always remove the pararentheses as your first step.
-2y-4 = 4y - 4
Combine like terms.
-2y - 4y = 4 - 4
-6y = 0
Divide both sides by -6 to find y.
-6y/-6 = 0/-6
y = 0
Done
The greatest number of people that they may invite and still stay within their budget is 130 people.
The standard form of a linear equation is given by:
y = mx + b
Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).
Let y represent the budget for x number of people.
Since the reception hall charges a $80 cleanup fee plus $34 per person, hence this can be represented by the function:
y = 34x + 80
They have budgeted $4,500 for their reception. Therefore the greatest number of people can be found from:
4500 = 34x + 80
34x = 4420
x = 130 people
Therefore the greatest number of people that they may invite and still stay within their budget is 130 people.
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Answer:
Total framed print = 517
Step-by-step explanation:
Framed print:
Small = 23
Medium = 264
Large = 188
Extra large = 42
Total framed print = Small + Medium + Large + extra large
= 23 + 264 + 188 + 42
= 517
Total framed print = 517
Unframed print:
Small = 152
Medium = 544
Large = 496
Extra large = 81
Total unframed print= Small + Medium + Large + extra large
= 152 + 544 + 496 + 81
= 1,273
Answer:
2*x^3 + x^2 + x
Step-by-step explanation:
a^b = x
Then,
a^(2b) = a^b*a^b = x* x = x^2
a^(3b) = a^b*a^b*a^b = x*x*x = x^3
2*(a^3b) + (a^2b) + (a^b)
= 2*(x^3) + (x^2) + (x)
= 2*x^3 + x^2 + x
Answer:17
Step-by-step explanation:17 (seventeen) is the natural number following 16 and preceding 18. It is a prime number. Seventeen is the sum of the first four prime numbers.