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4 years ago

9

Create a model to compare these two texting plans:

1 answer:

RUDIKE [14]4 years ago

8 0

Answer:

Step-by-step explanation:

Let x = number of texts

For plan A

Plan A costs $15 a month, including 200 free texts. After 200, they cost $0.15 each. It means that plan A has a base cost of $15 monthly and charge $0.15 for (total texts - 200 free texts). The model becomes

Cost of plan A = 15 + 0.15(x -200)

For plan B

Plan B costs $20 a month, including 250 free texts. After 250, they cost $0.10 each. It means that plan B has a base cost of $20 monthly and charge $0.10 for (total texts - 250 free texts). The model becomes

Cost of plan B = 20 + 0.10(x -250)

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Jeremy bought a 5-kilogram can of peanuts for $4.50. What is the unit price?

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Answer:

$0.90

Step-by-step explanation:

you would divide it by 5

$4.50/5=$0.90

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3 years ago

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3 years ago

Charles earned a total of $180 from working 12 hours. He earned the same amount each hour. Write an equation to describe the rel

olga2289 [7]

Answer:

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Step-by-step explanation:

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3 years ago

There are books in a library, there are 4 different kinds of books. Science books make up 3/4 of art books. Comic books are 1/4

Sergeeva-Olga [200]

Answer:

The total number of books is 1020.

Step-by-step explanation:

Denote the books by their first letter.

From the provided information:

$S=\frac{3}{4}A$
$C=\frac{1}{4}T$
$H=\frac{1}{5}T$
$H = A-80$

Compute the expression of <em>T</em> as follows:

$H = A-80\\\\\frac{1}{5}T=A-80\\\\T=5A-400...(i)$

Compute the value of <em>C</em> in terms of <em>A</em>:

$C=\frac{1}{4}T\\\\C=\frac{1}{4}\times {5A-400}\\\\C=\frac{5}{4}A-100...(ii)$

Compute the value of <em>A</em> as follows:

Use expressions (i) and (ii):

$T=S+C+H+A\\\\5A-400=\frac{3}{4}A+\frac{5}{4}A-100+A-80+A\\\\5A-400=4A-180\\\\A=220$

Compute the value of <em>T</em> as follows:

$T=5A-80\\\\T=(5\times 220)-80\\\\T=1100-80\\\\T=1020$

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3 years ago

There 400 members at the school band. Of those, 220 were girls. Expressed as a percentage, how many more girls than boys were th

GuDViN [60]

220/400 = 55%
100%- 55% = 45%
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3 years ago