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inn [45]
2 years ago
12

A pack of paper costs $3.75, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $20 budget. W

rite and solve an inequality to solve for the number of packs of paper Mr. Valentino can purchase, and describe the graph of the solution.
Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
8 0
He can at least buy 5
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J'Neices cell phone plan is $79 per month for unlimited calling plus 1000 text messages. Text messages over 1000 cost $0.15 each
BaLLatris [955]

Answer:

C. 244

Step-by-step explanation:

It costs 79 dollars a month = 79x

It costs 0.15 dollars for every text message over 1000 = 0.15y

The equation is:

79x + 0.15y = z

X = months

Y =  Each text message over 1000

Z = the total amount spent

Let's plug in our values

79(1) + 0.15(1100) = z

79 * 1 = 79

0.15 * 1100 = 165

79 + 165 = z

79 + 165 = 244

z = 244

C. 244

7 0
3 years ago
2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations
VMariaS [17]

Answer:2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations

since 2010 are given by the functions below:

Cit) 1000 - 500

F(t) = 2500 - 1000

Will their populations ever be equal? If so, when will that happen and what will that population be?

Otherwise, briefly explain why their populations will never be equal.

Step-by-step explanation:

4 0
3 years ago
40 points answer ASAP
suter [353]

Answer: See below

Step-by-step explanation:

a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.

b) Let the function be: y = mx + b

When x = 0; y = 120

So:

120 = 0 + c

c = 120

Now the slope:

\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8

Therefore, the equation that best fits the data is y = 8x + 120

c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.

8 0
2 years ago
The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
Arturiano [62]

Answer:

(4x - 3)(3x² + 1)

Step-by-step explanation:

Given

12x³ - 9x² + 4x - 3 ( factor the first/second and third/fourth terms )

= 3x²(4x - 3) + 1(4x - 3) ← factor out (4x - 3) from each term

= (4x - 3)(3x² + 1) ← in factored form

8 0
3 years ago
What is the y-intercept of the function y = –2(2)^x+ 2?
NISA [10]
Y=mx+b
so is 2
the last number of the equation
8 0
3 years ago
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